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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1033365</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2022.1033365</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Evaluation of investment strategies for rooftop distributed PV and CCS technologies in China under multiple scenarios</article-title>
<alt-title alt-title-type="left-running-head">Yang et&#xa0;al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2022.1033365">10.3389/fenrg.2022.1033365</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yang</surname>
<given-names>Changhui</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1985063/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cui</surname>
<given-names>Yangyu</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1987128/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Lijun</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1987009/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Qi</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1987122/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>School of Management</institution>, <institution>Hefei University of Technology</institution>, <addr-line>Hefei</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1611694/overview">Aliya Isiksal</ext-link>, Near East University, Cyprus</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1472867/overview">Helena Mart&#xed;n</ext-link>, Universitat Politecnica de Catalunya, Spain</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1215047/overview">Elisa Marrasso</ext-link>, University of Sannio, Italy</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Changhui Yang, <email>yangchanghui@hfut.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Carbon Capture, Utilization and Storage, a section of the journal Frontiers in Energy Research</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>11</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1033365</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>08</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>10</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Yang, Cui, He and Jiang.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Yang, Cui, He and Jiang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>CCS technology is significant to achieve carbon emission reduction in the current coal-based energy mix in China, just as PV received more policy subsidies from the Chinese government to promote its industry development in the early stage, and all parties in the society, including the government and enterprises, have paid attention to and supported the development of CCS technology to promote the implementation of carbon emission reduction. This paper evaluates the regional investment benefits and investment timing of CCS retrofitting and RTDPV in different scenarios for each province in China based on the real option approach. The results show that the initial cost subsidy and participation in the carbon market are not as effective as the feed-in tariff subsidy, and the investment return of CCS retrofit is better than RTDPV in the scenario with feed-in tariff subsidy, and most provinces can achieve immediate investment. RTDPV without subsidies cannot achieve full parity nationwide yet, and some provinces are not suitable for investment without participating in the carbon market. The net present value approach would underestimate the investment value of CCS and RTDPV and prematurely reject investment in many scenarios, while provinces under the real option approach tend to delay investment to obtain optimal investment returns. This paper provides a reference for investors to make investment decisions in low-carbon technologies and for governments to develop CCS incentives.</p>
</abstract>
<kwd-group>
<kwd>CCS retrofitting</kwd>
<kwd>rooftop distributed photovoltaic</kwd>
<kwd>real option approach</kwd>
<kwd>low-carbon technology</kwd>
<kwd>renewable energy</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In the context of global efforts to address climate change, the Chinese government committed to the international community at the 75th session of the United Nations General Assembly that China&#x2019;s carbon dioxide emissions will peak by 2030 and that the country would become carbon neutral by 2060 (<xref ref-type="bibr" rid="B6">Central&#xa0;People&#x2019;s&#xa0;Government&#xa0;of&#xa0;the&#xa0;People&#x2019;s&#xa0;Republic&#xa0;of&#xa0;China,&#xa0;2020</xref>). After China became the world&#x2019;s largest CO<sub>2</sub> emitter in 2019, it faced substantial pressure to take steps toward carbon emission reduction (<xref ref-type="bibr" rid="B61">Zheng&#xa0;et&#xa0;al.,&#xa0;2021</xref>). The coal power industry is the largest contributor to China&#x2019;s carbon emissions, accounting for more than 40% of the country&#x2019;s total CO<sub>2</sub> emissions, according to Carbon Emission Acconts &#x26; Datasets (<xref ref-type="bibr" rid="B45">Shan&#xa0;et&#xa0;al.,&#xa0;2018</xref>, <xref ref-type="bibr" rid="B46">2020</xref>; <xref ref-type="bibr" rid="B5">Carbon&#xa0;Emission&#xa0;Acconts&#xa0;&#x26;&#xa0;Datasets,&#xa0;2021</xref>; <xref ref-type="bibr" rid="B20">Guan&#xa0;et&#xa0;al.,&#xa0;2021</xref>). The power industry therefore must address the challenge of climate change and make great efforts for a low-carbon transition.</p>
<p>The Paris Agreement&#x2019;s goal of net-zero greenhouse gas emissions has stimulated the use of low-carbon energy technologies, including carbon capture and storage (CCS) technologies and renewable energy technologies (<xref ref-type="bibr" rid="B24">Intergovernmental&#xa0;Panel&#xa0;on&#xa0;Climate&#xa0;Change,&#xa0;2018</xref>). These can also be important tools to reduce carbon emissions in the power sector. Solar energy is cheap, clean and sustainable (<xref ref-type="bibr" rid="B43">Safarianzengir&#xa0;et&#xa0;al.,&#xa0;2022</xref>). China is a vast country with abundant solar energy resources, and it began promoting the development of the photovoltaic (PV) industry in the 1970s (<xref ref-type="bibr" rid="B21">Han&#xa0;et&#xa0;al.,&#xa0;2020</xref>). Its installed PV capacity has grown rapidly in a short period of time with strong policy support from China (<xref ref-type="bibr" rid="B30">Li&#xa0;et&#xa0;al.,&#xa0;2020</xref>), and quickly became a global leader in installed renewable energy (<xref ref-type="bibr" rid="B40">Rausser&#xa0;et&#xa0;al.,&#xa0;2022</xref>). By the end of 2021, its installed PV power ranked first in the world for nine consecutive years. Installed PV grid-connected generation capacity reached 306 million kilowatts, about a third of which is distributed PV (<xref ref-type="bibr" rid="B36">National&#xa0;Energy&#xa0;Administration,&#xa0;2022</xref>). After the &#x201c;Notice of the National Energy Administration Comprehensive Department on the submission of the whole county (city, district) roof distributed photovoltaic development pilot program&#x201d;, 25 provinces nationwide reported nearly 500 pilot counties and a total development of close to 200&#xa0;GW. The State Power Investment Corporation reacted quickly to this nationwide movement. It signed or started cooperation with projects involving 20 provinces and cities and is further targeting over 100 counties. National Energy Group has signed 33 whole-county distributed development projects, and China Huaneng Group has signed 2&#xa0;GW of whole-county distributed projects. &#x201c;Whole-county promotion &#x2b; central enterprises&#x201d; has led to the creation of the rooftop distributed photovoltaic (RTDPV) market. PV projects are becoming more and more integrated in construction, transportation, and other areas of development, and RTDPV can accelerate this development.</p>
<p>Because of the many advantages of rooftop PV, many scholars have studied the development of the rooftop PV industry from several aspects, mainly related to regional development potential, feed-in tariff (FIT), costs, and economic benefits (<xref ref-type="bibr" rid="B53">Xin-gang and Yi-min,&#xa0;2019</xref>). Using Beijing as an example, Wang et&#xa0;al. explored the carbon reduction potential and financial feasibility of urban rooftop PV power applications, calculating and comparing the life-cycle CO<sub>2</sub> emission factors of thermal power and rooftop PV power (<xref ref-type="bibr" rid="B49">Wang&#xa0;et&#xa0;al.,&#xa0;2018</xref>). Duma et&#xa0;al. used a discounted payback period and internal rate of return for an economic analysis of grid-connected rooftop PV schemes in Turkey to analyze the impact of the FIT and initial PV cost on system feasibility (<xref ref-type="bibr" rid="B11">Duman and G&#xfc;ler,&#xa0;2020</xref>). Zhao et&#xa0;al. studied the economic performance of China&#x2019;s distributed PV industry in terms of both technology and cost using two indicators: levelized cost of energy (LCOE) and internal rate of return (IRR) (<xref ref-type="bibr" rid="B54">Xin-gang and Zhen,&#xa0;2019</xref>).</p>
<p>In a short time, China&#x2019;s energy structure dominated by coal-fired power plants will not change immediately, and the current PV power generation is not enough to cover China&#x2019;s energy demand. Furthermore, the PV power supply is intermittent and unstable unless paired with an energy storage system (<xref ref-type="bibr" rid="B55">Yang and Zhao,&#xa0;2018</xref>). The low-carbon development of China&#x2019;s power supply must consider its security, economy, and sustainability. According to the latest International Energy Agency report, coal-fired and natural gas-fired power generation still dominates the global power sector, with China&#x2019;s coal-fired power generation accounting for more than 60% of the total domestic power generation capacity (<xref ref-type="bibr" rid="B26">International&#xa0;Energy&#xa0;Agency,&#xa0;2020</xref>). As a way of addressing the carbon emissions generated from coal, CCS is an important means that can help mitigating global climate change (<xref ref-type="bibr" rid="B2">Akerboom&#xa0;et&#xa0;al.,&#xa0;2021</xref>). Existing power plants and factories can be retrofitted and upgraded with CCS technology to provide low-carbon electricity, providing solutions for industries facing greater pressure to reduce emissions (<xref ref-type="bibr" rid="B14">Fan&#xa0;et&#xa0;al.,&#xa0;2018</xref>). The large number of coal-fired power plants in China provides the basis for CCS applications, with the total installed coal power capacity in China reaching 1.08 billion kW in 2020, more than all other countries combined (<xref ref-type="bibr" rid="B7">Central&#xa0;People&#x2019;s&#xa0;Government&#xa0;of&#xa0;the&#xa0;People&#x2019;s&#xa0;Republic&#xa0;of&#xa0;China,&#xa0;2021</xref>). CCS technologies can generally reduce carbon emissions from coal-fired power plants by 90% (<xref ref-type="bibr" rid="B19">Global&#xa0;CCS&#xa0;Institute,&#xa0;2017</xref>), controlling emissions at the source. Study results have indicated that China&#x2019;s demand for CCS emission reduction under its carbon neutrality target is 0.02&#x2013;0.408 billion tons by 2030 and 1&#x2013;1.82 billion tons by 2060 (<xref ref-type="bibr" rid="B10">Chinese&#xa0;Academy&#xa0;of&#xa0;Environmental&#xa0;Planning,&#xa0;2021</xref>). The scale of CCS pilot demonstration projects in China has been growing recently. In 2021, there were about 40 Carbon Capture, Utilization and Storage demonstration projects in operation or under construction in China, spread across 19 provinces, with a capture capacity of 3 million tons/year. Among them, the National Energy Group Erdos project has successfully carried out a full CCS process demonstration at the scale of 100,000 tons/year. The China National Petroleum Corporation Jilin Oilfield CO<sub>2</sub> Enhanced Oil Recovery (CO<sub>2</sub>-EOR), the largest EOR project in Asia and the only Chinese project among 21 large Carbon Capture, Utilization and Storage demonstration projects in operation worldwide, has injected more than 2 million tons of CO<sub>2</sub> in total (<xref ref-type="bibr" rid="B10">Chinese&#xa0;Academy&#xa0;of&#xa0;Environmental&#xa0;Planning,&#xa0;2021</xref>).</p>
<p>In assessing CCS investments, some scholars focus on the carbon price that influences investment decisions, the cost of CCS retrofitting, and subsidy incentives. To effectively mitigate carbon emissions, China has established carbon emission trading markets in several pilot regions since 2011 (<xref ref-type="bibr" rid="B52">Xian&#xa0;et&#xa0;al.,&#xa0;2020</xref>), and the opening of the national carbon market in 2021 has further boosted the retrofit of CCS in coal-fired power plants. According to the Intercontinental Exchange, the European Union carbon market price has been close to &#x20ac;100/ton since 2022 (<xref ref-type="bibr" rid="B23">Intercontinental&#xa0;Exchange,&#xa0;2022</xref>), while China&#x2019;s carbon price is at a low level, with the highest price since the opening of the national carbon market only reaching $7&#x2013;8/tCO<sub>2</sub>. The CO<sub>2</sub> abatement cost is estimated to be $35&#x2013;70/tCO<sub>2</sub>(<xref ref-type="bibr" rid="B31">Lilliestam&#xa0;et&#xa0;al.,&#xa0;2012</xref>), with a large gap between the high carbon abatement cost and the low carbon price. CCS retrofitting therefore remains a heavy financial burden for coal-fired power plants. This is important because the cost of large-scale CCS applications is the main obstacle to its wider deployment (<xref ref-type="bibr" rid="B4">Budinis&#xa0;et&#xa0;al.,&#xa0;2018</xref>). Costs mainly include transportation and storage costs, CO<sub>2</sub> capture costs, of which capture costs occupy the largest proportion (<xref ref-type="bibr" rid="B41">Roussanaly&#xa0;et&#xa0;al.,&#xa0;2020</xref>). Drawing on the history of the adoption of other low-carbon technologies, CCS development and deployment requires significant government support, especially in the early stages (<xref ref-type="bibr" rid="B17">Fan and Dong,&#xa0;2018</xref>). Some studies suggest that government subsidies may be profitable if they cover the entire CCS investment cost, although a higher carbon price is required (<xref ref-type="bibr" rid="B50">Wang and Du,&#xa0;2016</xref>). Fan et&#xa0;al. studied the incentive effect of different subsidy models on CCS and showed that the 45Q subsidy model and the total initial investment and operation and maintenance (O&#x26;M) costs subsidy model are suitable for a 40-year emission reduction program for coal-fired power plants (<xref ref-type="bibr" rid="B16">Fan&#xa0;et&#xa0;al.,&#xa0;2019b</xref>).</p>
<p>Some scholars focus on comparing CCS and renewable energy in terms of cost, potential, and benefit (<xref ref-type="bibr" rid="B31">Lilliestam&#xa0;et&#xa0;al.,&#xa0;2012</xref>; <xref ref-type="bibr" rid="B15">Fan&#xa0;et&#xa0;al.,&#xa0;2019a</xref>), but the subjects of their renewable energy comparison are large power plants. Rooftop PV has the advantages of close proximity to the customer, flexible assembly, low construction costs, low-voltage grid connection, fast power consumption, and higher returns compared to large power plants, making it an attractive option for investors (<xref ref-type="bibr" rid="B53">Xin-gang and Yi-min,&#xa0;2019</xref>). In the future, the development of PV power generation is expected to shift from large ground-based power plants to distributed photovoltaics closer to the needs of users. The new demand for the market of RTDPV brought by the Whole-county promotion will significantly promote China&#x2019;s low-carbon transformation. Alternatively, CCS retrofitting of coal-fired power plants can provide stable low-carbon electricity. CCS retrofitting and RTDPV construction have obvious regional distribution characteristics, and China must evaluate the investment value, timing, and application costs of both technologies while leveraging regional advantages in order to meet its &#x201c;30&#x22c5;60&#x201d; climate commitment.</p>
<p>Given that investments in low carbon technologies such as CCS and RTDPV involve several uncertainties, traditional valuation methods ignore the value of investment uncertainties and therefore do not fully reflect the potential value of investment projects (<xref ref-type="bibr" rid="B29">Kim&#xa0;et&#xa0;al.,&#xa0;2017</xref>; <xref ref-type="bibr" rid="B13">Fan&#xa0;et&#xa0;al.,&#xa0;2020</xref>). Some scholars have applied the real option method to evaluate CCS projects (<xref ref-type="bibr" rid="B8">Chen&#xa0;et&#xa0;al.,&#xa0;2016</xref>; <xref ref-type="bibr" rid="B56">Yang&#xa0;et&#xa0;al.,&#xa0;2019</xref>; <xref ref-type="bibr" rid="B13">Fan&#xa0;et&#xa0;al.,&#xa0;2020</xref>) and rooftop PV projects (<xref ref-type="bibr" rid="B33">Moon and Baran,&#xa0;2018</xref>; <xref ref-type="bibr" rid="B38">Nguyen&#xa0;et&#xa0;al.,&#xa0;2018</xref>; <xref ref-type="bibr" rid="B39">Penizzotto&#xa0;et&#xa0;al.,&#xa0;2019</xref>). Commonly used valuation methods for real option are binomial tree, dynamic programming (DP), partial differential equation (PDE), and simulation (<xref ref-type="bibr" rid="B1">Agaton,&#xa0;2021</xref>). Among them, PDE and DP are not suitable for dealing with option pricing problems involving multiple underlying assets, while least-squares Monte Carlo (LSMC) methods can evaluate complex and compound options with many potential random variables. Therefore, LSMC is used in this paper for real option valuation.</p>
<p>The main contributions of this study are as follows:<list list-type="simple">
<list-item>
<p>1) The real option method was used to compare the investment benefits and timing of CCS retrofitting and RTDPV (taking into account uncertainties such as investment costs and carbon prices, and the potential value from technological advances). It also was compared with the NPV method to quantify the increased investment value of the real option method.</p>
</list-item>
<list-item>
<p>2) Considering the single and synergistic effects of the carbon emission trading market and subsidy incentive policies (including investment cost subsidy and FIT subsidy), multiple scenarios were designed to compare and analyze the impact of CCS retrofitting of coal-fired power plants and RTDPV investment in China.</p>
</list-item>
<list-item>
<p>3) Differences were identified and quantified between the investment returns and timing of CCS retrofitting and RTDPV in different provinces of China as a result of regional resources and local policies. Interprovincial differences in various indicators affecting economics were considered in the model.</p>
</list-item>
</list>
</p>
</sec>
<sec sec-type="methods" id="s2">
<title>2 Methodology</title>
<p>This paper deals with the comparison of two valuation methods, so in the first part of this section, we introduce the net present value (NPV) method and the real option method; in the second part and the third part, we conduct cost and benefit analysis for RTDPV and coal-fired power plant CCS retrofitting to assess the project value, respectively. The fourth part models the uncertainty factors affecting the project; and the last part details the steps of solving the real option through the LSMC method.</p>
<sec id="s2-1">
<title>2.1 Valuation methods</title>
<p>The traditional NPV approach only yields deterministic investment decisions. In contrast, the real options method takes into account the value of uncertainty and provides investors with the flexibility to make investment decisions. In this section, the CCS retrofitting and RTDPV projects will be valued using the traditional NPV method and the real options method, respectively, and the investment value of the two valuation methods will be compared to verify whether the impact of uncertainty is significant.</p>
<sec id="s2-1-1">
<title>2.1.1 Net present value model</title>
<p>The NPV method is widely used for investment benefit evaluation in deterministic settings that do not take uncertainty and management flexibility into account.</p>
<sec id="s2-1-1-1">
<title>2.1.1.1 RTDPV investment projects</title>
<p>If the life cycle of a RTDPV project is <italic>T</italic>&#xa0;years and the initial investment cost is <italic>I</italic>
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</disp-formula>
<inline-formula id="inf1">
<mml:math id="m3">
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> is the net present value of the RTDPV project without considering the value of uncertainties, <inline-formula id="inf2">
<mml:math id="m4">
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> is the annual cash flow of the RTDPV project under the NPV model, which usually includes the feedin tariff revenue <inline-formula id="inf3">
<mml:math id="m5">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> during the RTDPV generation cycle, carbon trading revenue <inline-formula id="inf4">
<mml:math id="m6">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, and daily operation and maintenance costs <inline-formula id="inf5">
<mml:math id="m7">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>&#x26;</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, and r is the discount rate.</p>
</sec>
<sec id="s2-1-1-2">
<title>2.1.1.2 CCS retrofitting investment project for coal-fired power plants</title>
<p>Let <italic>T</italic>&#x2032; be the lifetime of a coal-fired power plant and <inline-formula id="inf6">
<mml:math id="m8">
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> be the initial investment cost. If the CCS retrofitting is in year <italic>t</italic>
<sub>1</sub> and the project construction period is 1&#xa0;year, then the capture facility will start operating in the year&#xa0;<italic>t</italic> &#x3d;&#xa0;<italic>t</italic>
<sub>1</sub> &#x2b;&#xa0;1 and continue operating through the lifetime of the coal-fired power plant. The NPV of the entire generation cycle is<disp-formula id="e3">
<mml:math id="m9">
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:munderover accentunder="false" accent="false">
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:munderover>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m10">
<mml:mtable class="align" columnalign="left">
<mml:mtr>
<mml:mtd columnalign="right">
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mtd>
<mml:mtd columnalign="left">
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,c</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,s</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccsO&#x26;M</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="right"/>
<mml:mtd columnalign="left">
<mml:mspace width="1em"/>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(4)</label>
</disp-formula>Where <italic>K</italic> is the subsidy percentage of the initial investment costs, <italic>&#x3b1;</italic> is the empirical parameter of the initial investment costs, and <italic>&#x3b2;</italic> is the empirical parameter of the O&#x26;M costs. The annual cash flow, <inline-formula id="inf7">
<mml:math id="m11">
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, typically includes CO<sub>2</sub> reduction revenues <inline-formula id="inf8">
<mml:math id="m12">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,c</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, FIT subsidies <inline-formula id="inf9">
<mml:math id="m13">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,s</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, O&#x26;M costs <inline-formula id="inf10">
<mml:math id="m14">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccsO&#x26;M</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, additional capture facilities <italic>C</italic>
<sub>
<italic>ccs,E</italic>
</sub>, CO<sub>2</sub> transportation <inline-formula id="inf11">
<mml:math id="m15">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>, and storage costs <inline-formula id="inf12">
<mml:math id="m16">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>.</p>
</sec>
</sec>
<sec id="s2-1-2">
<title>2.1.2 Real option model</title>
<p>A real option is a type of option where the subject matter is a physical object. First created by Myers in 1977 (<xref ref-type="bibr" rid="B34">Myers,&#xa0;1977</xref>), its design takes into account three important factors: the irreversibility of the investment, the uncertainty of the future cash flows of the investment, and the opportunity for flexible timing of the investment (<xref ref-type="bibr" rid="B18">Fuss&#xa0;et&#xa0;al.,&#xa0;2008</xref>). Prior to this, the traditional NPV approach was widely used for investment efficiency evaluations, and investors chose to invest only if the NPV was greater than zero. The investment decision for CCS retrofitting of coal-fired power plants with RTDPV can be influenced by uncertainties such as carbon price, investment cost, and the timing of the investment. However, the NPV method does not consider these uncertainties or any flexibility in the management of the investment and may underestimate its actual value. A real option model can make the optimal investment decision.</p>
<p>According to the real option method, the total investment value of a project can be expressed as<disp-formula id="e5">
<mml:math id="m17">
<mml:mi>F</mml:mi>
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m18">
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>V</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">uncertain</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(6)</label>
</disp-formula>
<italic>FV</italic> represents the total investment value of the project, <italic>V</italic> denotes the increased investment value after accounting for uncertainty <italic>F</italic>
<sub>
<italic>uncertain</italic>
</sub> in the classical <italic>NPV</italic> approach, and <italic>OV</italic> denotes the economic value of management flexibility. In the framework of the real option method, the investor has the right to delay the investment and choose the best time to invest in order to maximize the project value.<disp-formula id="e7">
<mml:math id="m19">
<mml:mi>F</mml:mi>
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>MAX</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:munder>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>X</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>r</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>t</italic>
<sub>
<italic>p</italic>
</sub> is the optimal investment timing and <italic>t</italic>
<sub>
<italic>i</italic>
</sub> is the delayed investment time frame.</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Cost&#x2013;benefit analysis of RTDPV project investment</title>
<p>RTDPV can take advantage of the decentralized nature of solar energy, and flexible use of idle rooftops for investment; in the long run, the economy is better. Due to the scattered rooftop resources of rural residents, the village committees are considered to unify resources and implement the &#x2018;full access&#x2019; model under the county-wide promotion model. Given that China&#x2019;s PV power generation has entered a new stage of subsidy-free development (<xref ref-type="bibr" rid="B35">National&#xa0;Development and Reform&#xa0;Commission,&#xa0;2022</xref>), this paper discusses the RTDPV in the subsidy-free mode.</p>
<sec id="s2-2-1">
<title>2.2.1 The benefits of the RTDPV project</title>
<p>RTDPV generation cycle revenues include FIT revenues <inline-formula id="inf13">
<mml:math id="m20">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, and carbon trading revenues <inline-formula id="inf14">
<mml:math id="m21">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
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<mml:mi>p</mml:mi>
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<mml:mo>,</mml:mo>
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</mml:math>
</inline-formula>.<disp-formula id="e8">
<mml:math id="m22">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
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</mml:math>
<label>(8)</label>
</disp-formula>
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<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m24">
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<mml:mrow>
<mml:mi>R</mml:mi>
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<mml:mrow>
<mml:mi>c</mml:mi>
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</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m25">
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
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<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
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<mml:mrow>
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<mml:mi>E</mml:mi>
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<mml:mrow>
<mml:mi mathvariant="italic">grid,OM,y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">grid,BM,y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(11)</label>
</disp-formula>Where <italic>P</italic>
<sub>
<italic>e</italic>
</sub> is the price of desulfurized coal, <inline-formula id="inf15">
<mml:math id="m26">
<mml:msubsup>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> is the annual generation capacity of RTDPV, <italic>&#x3b8;</italic> is the system conversion efficiency, <italic>IC</italic>
<sub>
<italic>pv</italic>
</sub> is the installed capacity, <italic>H</italic>
<sub>
<italic>pv</italic>
</sub> is the annual effective light hours, <italic>&#x3d5;</italic> is the decay rate of power generation.<inline-formula id="inf16">
<mml:math id="m27">
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> is the carbon price, <inline-formula id="inf17">
<mml:math id="m28">
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula> is the PV carbon emission factor; <italic>W</italic>
<sub>
<italic>OM</italic>
</sub> and <italic>W</italic>
<sub>
<italic>BM</italic>
</sub> are the weight of <italic>OM</italic> and <italic>BM</italic>, respectively; <italic>OM</italic> is the electricity marginal emission factor and <italic>BM</italic> is the capacity marginal emission factor; <italic>W</italic>
<sub>
<italic>OM</italic>
</sub> &#x3d;&#xa0;0.75, <italic>W</italic>
<sub>
<italic>BM</italic>
</sub> &#x3d;&#xa0;0.25 (<xref ref-type="bibr" rid="B28">Karaveli&#xa0;et&#xa0;al.,&#xa0;2015</xref>); the table of carbon emission factors by province is from the &#x201c;2019 Annual Emission Reduction Project China Regional Grid Baseline Emission Factors&#x201d; issued by the Ministry of Ecology and Environment (<xref ref-type="bibr" rid="B32">Ministry&#xa0;of&#xa0;Ecology and Environment&#xa0;of&#xa0;the&#xa0;People&#x2019;s&#xa0;Republic&#xa0;of&#xa0;China,&#xa0;2020</xref>), see <xref ref-type="table" rid="T1">Table&#xa0;1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Table of carbon emission factors of the regional power grid.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Regional grid</th>
<th align="left">Coverage of provinces</th>
<th align="left">
<italic>EF</italic>
<sub>
<italic>grid,OM,y</italic>
</sub>
</th>
<th align="left">
<italic>EF</italic>
<sub>
<italic>grid,BM,y</italic>
</sub>
</th>
<th rowspan="2" align="left">
<inline-formula id="inf18">
<mml:math id="m29">
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th align="left">(In this paper, only 24 provinces were selected)</th>
<th align="left">(<italic>tCO</italic>
<sub>2</sub>/<italic>MWh</italic>)</th>
<th align="left">(<italic>tCO</italic>
<sub>2</sub>/<italic>MWh</italic>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Huabei</td>
<td align="left">Tianjin, Hebei, Shanxi, Shandong, Inner Mongolia</td>
<td align="left">0.9419</td>
<td align="left">0.4819</td>
<td align="left">0.8269</td>
</tr>
<tr>
<td align="left">Dongbei</td>
<td align="left">Liaoning, Jilin, Heilongjiang</td>
<td align="left">1.0826</td>
<td align="left">0.2399</td>
<td align="left">0.871925</td>
</tr>
<tr>
<td align="left">Huadong</td>
<td align="left">Shanghai, Jiangsu, Zhejiang, Anhui</td>
<td align="left">0.7921</td>
<td align="left">0.3870</td>
<td align="left">0.690825</td>
</tr>
<tr>
<td align="left">Huazhong</td>
<td align="left">Henan, Hubei, Hunan, Jiangxi, Sichuan, Chongqing</td>
<td align="left">0.8587</td>
<td align="left">0.2854</td>
<td align="left">0.715375</td>
</tr>
<tr>
<td align="left">Xibei</td>
<td align="left">Shaanxi, Gansu, Ningxia, Xinjiang</td>
<td align="left">0.8922</td>
<td align="left">0.4407</td>
<td align="left">0.779325</td>
</tr>
<tr>
<td align="left">Nanfang</td>
<td align="left">Yunnan, Guizhou</td>
<td align="left">0.8042</td>
<td align="left">0.2135</td>
<td align="left">0.656525</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2-2">
<title>2.2.2 The costs of the RTDPV project</title>
<p>The RTDPV generation cycle cost includes an initial investment cost <inline-formula id="inf19">
<mml:math id="m30">
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and an O&#x26;M costs <inline-formula id="inf20">
<mml:math id="m31">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
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<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>O</mml:mi>
<mml:mi>&#x26;</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>. The initial investment costs include the roof rent, PV panels, inverter, converter, distribution cabinet, cable, mounting bracket, monitoring system, etc. The O&#x26;M costs includes daily maintenance costs, labor costs, etc., which accounts for about 3% of the initial investment costs.<disp-formula id="e12">
<mml:math id="m32">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
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<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
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<mml:mi>O</mml:mi>
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<mml:mi>I</mml:mi>
</mml:mrow>
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<mml:mi>t</mml:mi>
</mml:mrow>
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<mml:mi>p</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">pvO&#x26;M</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(12)</label>
</disp-formula>where <italic>r</italic>
<sub>
<italic>pvO&#x26;M</italic>
</sub> is the ratio of the annual O&#x26;M costs of RTDPV to the initial investment costs.</p>
</sec>
</sec>
<sec id="s2-3">
<title>2.3 Cost&#x2013;benefit analysis of CCS retrofitting project investment</title>
<p>The CCS system consists of three components: capture, transportation, and storage. This section analyzes the benefits and costs of CCS retrofitting separately.</p>
<sec id="s2-3-1">
<title>2.3.1 Benefits of the CCS retrofitting project</title>
<p>CCS technology consists of several processes such as CO<sub>2</sub> separation, capture, transport, and storage. The revenue from CCS retrofitting of coal-fired power plants during the generation cycle mainly includes CO<sub>2</sub> reduction revenue <inline-formula id="inf21">
<mml:math id="m33">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
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<mml:mrow>
<mml:mi mathvariant="italic">ccs,c</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, an initial cost subsidy <inline-formula id="inf22">
<mml:math id="m34">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,i</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, and a FIT subsidy <inline-formula id="inf23">
<mml:math id="m35">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,s</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>.<disp-formula id="e13">
<mml:math id="m36">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,c</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
<label>(13)</label>
</disp-formula>
<disp-formula id="e14">
<mml:math id="m37">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,i</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
<label>(14)</label>
</disp-formula>
<disp-formula id="e15">
<mml:math id="m38">
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,s</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">sub</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(15)</label>
</disp-formula>
<disp-formula id="e16">
<mml:math id="m39">
<mml:msub>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(16)</label>
</disp-formula>
<disp-formula id="e17">
<mml:math id="m40">
<mml:msubsup>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>&#x3b7;</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:math>
<label>(17)</label>
</disp-formula>where <inline-formula id="inf24">
<mml:math id="m41">
<mml:msubsup>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> represents the annual amount of CO<sub>2</sub> captured by the coal-fired power plant, <inline-formula id="inf25">
<mml:math id="m42">
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> represents the carbon price of the year, K is the subsidy percentage of the initial investment costs, <inline-formula id="inf26">
<mml:math id="m43">
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">sub</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> represents the CCS electricity subsidy, <italic>Q</italic>
<sub>
<italic>c</italic>
</sub> represents the annual power generation of the coal-fired power plant, <italic>IC</italic>
<sub>
<italic>coal</italic>
</sub> is the installed capacity of the coal-fired power plant, <italic>H</italic>
<sub>
<italic>coal</italic>
</sub> is the annual operation time of the coal-fired power plant, <italic>&#x3b7;</italic> is the CO<sub>2</sub> capture rate, and <italic>&#x3c9;</italic> is the CO<sub>2</sub> emission rate.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Costs of CCS retrofitting</title>
<p>The cost of CCS retrofitting coal-fired power plants during the generation cycle mainly covers the initial investment costs <inline-formula id="inf27">
<mml:math id="m44">
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, the O&#x26;M costs <inline-formula id="inf28">
<mml:math id="m45">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccsO&#x26;M</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, additional capture facilities <italic>C</italic>
<sub>
<italic>ccs,E</italic>
</sub>, CO<sub>2</sub> transportation costs <inline-formula id="inf29">
<mml:math id="m46">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>, and CO<sub>2</sub> storage costs <inline-formula id="inf30">
<mml:math id="m47">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>.<disp-formula id="e18">
<mml:math id="m48">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs,E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(18)</label>
</disp-formula>
<disp-formula id="e19">
<mml:math id="m49">
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">coal</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
</mml:math>
<label>(19)</label>
</disp-formula>
<disp-formula id="e20">
<mml:math id="m50">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(20)</label>
</disp-formula>
<disp-formula id="e21">
<mml:math id="m51">
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(21)</label>
</disp-formula>
<italic>P</italic>
<sub>
<italic>coal</italic>
</sub> is the coal price; <italic>E</italic>
<sub>
<italic>coal</italic>
</sub> is the additional coal consumption due to efficiency penalty. PSCC is the coal consumption per unit of power supply; <italic>&#x3bb;</italic> is the additional coal consumption rate due to CO<sub>2</sub> capture; <inline-formula id="inf31">
<mml:math id="m52">
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula id="inf32">
<mml:math id="m53">
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula> are the unit CO<sub>2</sub> transportation cost and geological sequestration cost, respectively.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Uncertainty of CCS retrofitting and RTDPV investment</title>
<p>Uncertainty is a critical factor affecting investment decisions in CCS retrofitting and RTDPV projects. Uncertainty factors are modeled in this subsection and include changing carbon prices, decreasing costs of CCS retrofitting technologies, and initial PV investment costs consistent with geometric Brownian motion.</p>
<sec id="s2-4-1">
<title>2.4.1 Carbon price</title>
<p>Due to the short and unstable history of the carbon emissions trading market, there is no sufficiently reliable time series to support a long-term trend fit. Based on previous studies (<xref ref-type="bibr" rid="B18">Fuss&#xa0;et&#xa0;al.,&#xa0;2008</xref>; <xref ref-type="bibr" rid="B62">Zhu and Fan,&#xa0;2013</xref>), it is reasonable to assume that carbon price fluctuations are governed by geometric Brownian motion (GBM) as follows:<disp-formula id="e22">
<mml:math id="m54">
<mml:mi>d</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:math>
<label>(22)</label>
</disp-formula>
<italic>&#x3bc;</italic>
<sub>
<italic>c</italic>
</sub> and <italic>&#x3c3;</italic>
<sub>
<italic>c</italic>
</sub> denote the drift and variance parameters of the carbon price, respectively; <italic>d&#x3c9;</italic> is the Wiener process in independent increments. The carbon price tends to increase over time.</p>
</sec>
<sec id="s2-4-2">
<title>2.4.2 CCS technological advances</title>
<p>The concept of the &#x201c;learning curve&#x201d; was first proposed by Whight (<xref ref-type="bibr" rid="B51">Wright,&#xa0;1936</xref>), and Arrow (<xref ref-type="bibr" rid="B3">Arrow,&#xa0;1971</xref>) later established the Learning by Doing (LBD) learning curve model. The development of new energy industries, such as wind power and photovoltaic power generation, is consistent with the learning curve model. It is therefore necessary to consider the impact of technological advances on future investments in CCS projects in coal-fired power plants. Due to technological progress, the investment cost of CCS retrofitting decreases year by year as follows:<disp-formula id="e23">
<mml:math id="m55">
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
<label>(23)</label>
</disp-formula>
<disp-formula id="e24">
<mml:math id="m56">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccsO&#x26;M</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccsO&#x26;M</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2217;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
<label>(24)</label>
</disp-formula>
<inline-formula id="inf33">
<mml:math id="m57">
<mml:msubsup>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> and <inline-formula id="inf34">
<mml:math id="m58">
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> denote the initial investment cost and O&#x26;M costs of the renovation in year&#xa0;t, <italic>&#x3b1;</italic> is the empirical parameter of the initial investment costs, and <italic>&#x3b2;</italic> is the empirical parameter of the O&#x26;M costs.</p>
</sec>
<sec id="s2-4-3">
<title>2.4.3 Initial investment cost</title>
<p>Based on existing studies (<xref ref-type="bibr" rid="B58">Zhang&#xa0;M.&#xa0;et&#xa0;al.,&#xa0;2014</xref>; <xref ref-type="bibr" rid="B33">Moon and Baran,&#xa0;2018</xref>; <xref ref-type="bibr" rid="B15">Fan&#xa0;et&#xa0;al.,&#xa0;2019a</xref>), it is reasonable to assume that the initial investment costs of RTDPV is controlled by GBM as<disp-formula id="e25">
<mml:math id="m59">
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</mml:mrow>
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<mml:mi>d</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:math>
<label>(25)</label>
</disp-formula>where <italic>&#x3bc;</italic>
<sub>
<italic>p</italic>
</sub> and <italic>&#x3c3;</italic>
<sub>
<italic>p</italic>
</sub> represent the drift rate and volatility of the initial investment cost of RTDPV, respectively.</p>
</sec>
</sec>
<sec id="s2-5">
<title>2.5 Real option model solution: Least squares Monte Carlo simulation</title>
<p>Given that the real option model includes uncertainties such as carbon price and initial investment cost, LSMC was used to solve the model using MATLAB software using the following procedure:</p>
<p>1) A Monte Carlo method is applied to simulate the change paths of a discrete process with random changes in carbon price and initial investment cost. S is the number of paths simulated, and the time interval [0, <italic>t</italic>
<sub>
<italic>i</italic>
</sub>] is divided equally into I subintervals, each of length &#x25b3;<italic>t</italic> &#x3d;&#xa0;<italic>t</italic>
<sub>
<italic>i</italic>
</sub>/<italic>I</italic>. For any path j, the return on investment is calculated for each discrete time point of the investment validity period <italic>t</italic>
<sub>
<italic>i</italic>
</sub>.</p>
<p>2) Each path&#x2019;s optimal investment time and option value was calculated. The investor can choose the investment time point t during the investment life [0, <italic>t</italic>
<sub>
<italic>i</italic>
</sub>] or can invest at the last discrete time point of the investment life (<italic>t</italic> &#x3d;&#xa0;<italic>t</italic>
<sub>
<italic>i</italic>
</sub>) if the investor has not already invested:<disp-formula id="e26">
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<label>(26)</label>
</disp-formula>
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<mml:mtr>
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<mml:msub>
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</mml:mrow>
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</mml:mrow>
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</mml:mtd>
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</mml:mtable>
</mml:mrow>
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<label>(27)</label>
</disp-formula>
<italic>&#x3c0;</italic>
<sub>
<italic>t</italic>,<italic>j</italic>
</sub> &#x3d;&#xa0;1 denotes an immediate investment, while <italic>&#x3c0;</italic>
<sub>
<italic>t</italic>,<italic>j</italic>
</sub> &#x3d;&#xa0;0 denotes a deferred investment.</p>
<p>At any discrete time point t within [0, <italic>t</italic>
<sub>
<italic>i</italic>
</sub>], the investor will compare the immediate return at each point in time with the expected return from continuing to hold the option. If the immediate return is greater than the expected return, the investor will choose to invest immediately. Otherwise, the investor will defer the investment. <italic>R</italic> denotes the average of the Bank of China&#x2019;s RMB deposit rates for financial institutions for one-year deposits from 1990 to 2015.<disp-formula id="e28">
<mml:math id="m62">
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<label>(28)</label>
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<label>(29)</label>
</disp-formula>In this case, the expected return of continuing to hold the option is fitted by least-squares regression. The immediate return of executing the option is regarded as the independent variable, the expected return of continuing to hold the option is regarded as the dependent variable, and the regression coefficients are derived through multiple regression and then brought into the least-squares fitting formula to obtain the expected return of continuing to hold the option. This replaces the expected return derived from the Monte Carlo simulation.</p>
<p>3) For any path <italic>j</italic>, the above recursive process needs to be solved backward from the last time point to the first time point until the optimal investment time point <italic>t</italic>
<sub>
<italic>p</italic>
</sub> for each path is found. The option returns for each path are then discounted and averaged.<disp-formula id="e30">
<mml:math id="m64">
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<label>(30)</label>
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<label>(31)</label>
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</p>
<p>To compare the performance of CCS and RTDPV more clearly despite their difference in installed capacity and power generation, the unit investment efficiency was used to assess the market competitiveness and investment efficiency. The calculation formula is (<xref ref-type="bibr" rid="B15">Fan&#xa0;et&#xa0;al.,&#xa0;2019a</xref>),<disp-formula id="e32">
<mml:math id="m66">
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<mml:mi>P</mml:mi>
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</mml:mrow>
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<label>(32)</label>
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</disp-formula>
<italic>UNPV</italic>
<sub>
<italic>pv</italic>
</sub> and <italic>UFV</italic>
<sub>
<italic>pv</italic>
</sub> denote the unit net present value per MWh and the unit total investment value per MWh for RTDPV, respectively. <italic>UNPV</italic>
<sub>
<italic>ccs</italic>
</sub> and <italic>UFV</italic>
<sub>
<italic>ccs</italic>
</sub> denote the unit net present value per MWh and the unit total investment value per MWh for CCS retrofitting, respectively.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Data processing and scenario setting</title>
<p>The share of super (super) critical units in Chinese coal-fired power plants reaches 59%, so 600&#xa0;MW supercritical units are selected as the basis for calculation in this paper. The size of RTDPV under the whole county promotion policy varies from several tens to tens of thousands of MW, so to have the same benchmark for comparison among provinces, 1&#xa0;MW is selected as the benchmark for calculating the unit revenue in this paper. Six scenarios are set up to evaluate the impact of single and synergistic effects of different incentives on investment decisions of CCS retrofit and RTDPV projects.</p>
<sec id="s3-1">
<title>3.1 Data selection and processing</title>
<p>Since most power plants in China do not have suitable onshore storage sites within a reasonable pipeline distance, most of these plants are located in the more densely populated Guangdong, Fujian, and Guangxi regions. Therefore, CCS retrofitting is not considered for these provinces. There are few coal-fired power plants in the Hainan, Qinghai, and Tibet regions, and Beijing is no longer used for power generation due to policy restrictions on all coal-fired units. Therefore, CCS retrofitting were not considered in these four areas, either. In addition, there is no public data on coal-fired units in Hong Kong, Macao, and Taiwan. To make the study results more scientific and reasonable, the comparison between CCS retrofitting and RTDPV was processed based on data from plants in the remaining 24 provinces in China. In addition, this paper considers a comparative study of two low-carbon technologies, so taxes are not considered.</p>
<p>The average utilization hours of coal-fired units and coal consumption of power supply in China were obtained from the China Electricity Council, while coal prices are obtained from Inner Mongolia Coal Center (<xref ref-type="bibr" rid="B22">Inner&#xa0;Mongolia&#xa0;Coal&#xa0;Center,&#xa0;2021</xref>) (<xref ref-type="fig" rid="F1">Figure&#xa0;1</xref>). The FIT for RTDPV in different provinces in China are different. According to the notice issued by the National Development and Reform Commission, the FIT for new projects in 2021 is based on the local benchmark price for coal-fired power generation. In addition, the annual effective hours of sunshine in each province are obtained from the &#x201c;China Wind and Solar Energy Resources Annual Bulletin 2021&#x201d; issued by the China Meteorological Administration, as shown in <xref ref-type="fig" rid="F2">Figure&#xa0;2</xref> below, and the rest of the basic data and parameters are shown in <xref ref-type="table" rid="T2">Table&#xa0;2</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Coal-fired unit utilization hours, power supply coal consumption, and coal prices by province.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Coal-fired electricity prices and annual effective hours of light by the province.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g002.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Basic parameters of CCS retrofitting of coal-fired power plants and RTDPV.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameters</th>
<th align="left">Description</th>
<th align="left">Value</th>
<th align="left">Data source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>T</italic>&#x2032;</td>
<td align="left">The lifetime of a coal-fired power plant (year)</td>
<td align="left">40</td>
<td align="left">K.C. Seto <xref ref-type="bibr" rid="B44">Seto&#xa0;et&#xa0;al.&#xa0;(2016)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>T</italic>
</td>
<td align="left">The lifetime of RTDPV(year)</td>
<td align="left">25</td>
<td align="left">Photovoltaic power generation system efficiency Specification <xref ref-type="bibr" rid="B37">National&#xa0;Energy&#xa0;Administration,&#xa0;(2020)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>IC</italic>
<sub>
<italic>coal</italic>
</sub>
</td>
<td align="left">Installed capacity of coal-fired power plant (MW)</td>
<td align="left">600</td>
<td align="left">This article is set</td>
</tr>
<tr>
<td align="left">
<italic>IC</italic>
<sub>
<italic>pv</italic>
</sub>
</td>
<td align="left">Installed capacity of RTDPV(MW)</td>
<td align="left">1</td>
<td align="left">This article is set</td>
</tr>
<tr>
<td align="left">
<italic>r</italic>
</td>
<td align="left">Benchmark discount rate (%)</td>
<td align="left">5</td>
<td align="left">Fan J L <xref ref-type="bibr" rid="B15">Fan&#xa0;et&#xa0;al.&#xa0;(2019a)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
</td>
<td align="left">Risk-free interest rate (%)</td>
<td align="left">4.2</td>
<td align="left">The People&#x2019;s Bank of China</td>
</tr>
<tr>
<td align="left">
<italic>n</italic>
</td>
<td align="left">The number of option periods (year)</td>
<td align="left">10</td>
<td align="left">X. Wang <xref ref-type="bibr" rid="B50">Wang and Du,&#xa0;(2016)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>P</italic>
<sub>
<italic>C</italic>
</sub>
</td>
<td align="left">Carbon price (CNY/ton)</td>
<td align="left">54</td>
<td align="left">
<xref ref-type="bibr" rid="B47">Shanghai&#xa0;Environment and Energy&#xa0;Exchange,&#xa0;(2021)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3bc;</italic>
<sub>
<italic>c</italic>
</sub>
</td>
<td align="left">Carbon price drift rate</td>
<td align="left">0.082</td>
<td align="left">Based on the publicly available carbon trading market data and refer to Zhang <xref ref-type="bibr" rid="B59">Zhang&#xa0;et&#xa0;al.&#xa0;(2016)</xref> to calculate</td>
</tr>
<tr>
<td align="left">
<italic>&#x3c3;</italic>
<sub>
<italic>c</italic>
</sub>
</td>
<td align="left">Carbon price volatility</td>
<td align="left">0.14</td>
<td align="left">Based on the publicly available carbon trading market data and refer to Zhang <xref ref-type="bibr" rid="B59">Zhang&#xa0;et&#xa0;al.&#xa0;(2016)</xref> to calculate</td>
</tr>
<tr>
<td align="left">
<italic>&#x3bc;</italic>
<sub>
<italic>p</italic>
</sub>
</td>
<td align="left">RTDPV Initial Cost Drift Rate</td>
<td align="left">&#x2212;0.037</td>
<td align="left">Based on the published data <xref ref-type="bibr" rid="B9">China&#xa0;Photovoltaic&#xa0;Industry&#xa0;Association,&#xa0;(2021)</xref> and calculated with reference to Zhang (<xref ref-type="bibr" rid="B59">Zhang&#xa0;et&#xa0;al.,&#xa0;2016</xref>)</td>
</tr>
<tr>
<td align="left">
<italic>&#x3c3;</italic>
<sub>
<italic>p</italic>
</sub>
</td>
<td align="left">RTDPV Initial Cost Volatility</td>
<td align="left">0.12</td>
<td align="left">Based on the published data <xref ref-type="bibr" rid="B9">China&#xa0;Photovoltaic&#xa0;Industry&#xa0;Association,&#xa0;(2021)</xref> and calculated with reference to Zhang <xref ref-type="bibr" rid="B59">Zhang&#xa0;et&#xa0;al.&#xa0;(2016)</xref>
</td>
</tr>
<tr>
<td align="left">
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</mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">ccs</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>
</td>
<td align="left">CCS Initial Costs (million CNY)</td>
<td align="left">1208</td>
<td align="left">Fan J L <xref ref-type="bibr" rid="B15">Fan&#xa0;et&#xa0;al.&#xa0;(2019a)</xref>
</td>
</tr>
<tr>
<td align="left">
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<mml:mrow>
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</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>
</td>
<td align="left">CCS initial O&#x26;M costs (million CNY/year)</td>
<td align="left">37.45</td>
<td align="left">Fan J L <xref ref-type="bibr" rid="B15">Fan&#xa0;et&#xa0;al.&#xa0;(2019a)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>I</italic>
<sub>
<italic>pv</italic>
</sub>
</td>
<td align="left">RTDPV initial cost (CNY/KW)</td>
<td align="left">3750</td>
<td align="left">Tianfeng Securities Research Institute, According to its disclosed state-owned enterprises to win the bid of about 3.5&#x2013;4.01 CNY/W to take the average value</td>
</tr>
<tr>
<td align="left">
<italic>r</italic>
<sub>
<italic>pvO&#x26;M</italic>
</sub>
</td>
<td align="left">The ratio of RTDPV annual O&#x26;M cost to initial cost</td>
<td align="left">0.03</td>
<td align="left">M.M. Zhang <xref ref-type="bibr" rid="B57">Zhang&#xa0;et&#xa0;al.&#xa0;(2020)</xref>
</td>
</tr>
<tr>
<td align="left">
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<mml:mi>T</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left">CO<sub>2</sub> unit transportation cost (CNY/ton)</td>
<td align="left">100</td>
<td align="left">X. Zhang <xref ref-type="bibr" rid="B60">Zhang&#xa0;et&#xa0;al.&#xa0;(2014b)</xref>
</td>
</tr>
<tr>
<td align="left">
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<mml:math id="m73">
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<mml:mi>O</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left">CO<sub>2</sub> unit storage cost (CNY/ton)</td>
<td align="left">50</td>
<td align="left">X. Zhang <xref ref-type="bibr" rid="B60">Zhang&#xa0;et&#xa0;al.&#xa0;(2014b)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b1;</italic>
</td>
<td align="left">Empirical parameters of capital costs</td>
<td align="left">0.0202</td>
<td align="left">Edward <xref ref-type="bibr" rid="B42">Rubin&#xa0;et&#xa0;al.&#xa0;(2007)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b2;</italic>
</td>
<td align="left">Empirical parameters of O&#x26;M cost</td>
<td align="left">0.057</td>
<td align="left">Edward <xref ref-type="bibr" rid="B42">Rubin&#xa0;et&#xa0;al.&#xa0;(2007)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b8;</italic>
</td>
<td align="left">PV system conversion efficiency</td>
<td align="left">0.8</td>
<td align="left">Engineering experience factor (general value is 0.75&#x2013;0.85 and 0.8 is chosen in this paper)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>&#x3d5;</italic>
</td>
<td rowspan="2" align="left">The decay rate of photovoltaic power generation</td>
<td align="left">3% in the first year and</td>
<td rowspan="2" align="left">Eskew <xref ref-type="bibr" rid="B12">Eskew&#xa0;et&#xa0;al.&#xa0;(2018)</xref>
</td>
</tr>
<tr>
<td align="left">0.7% per year after that</td>
</tr>
<tr>
<td align="left">
<italic>&#x3bb;</italic>
</td>
<td align="left">Energy loss rate due to CO<sub>2</sub> capture</td>
<td align="left">0.12</td>
<td align="left">S.D. Supekar <xref ref-type="bibr" rid="B48">Supekar and Skerlos,&#xa0;(2015)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b7;</italic>
</td>
<td align="left">CO<sub>2</sub> capture rate</td>
<td align="left">0.9</td>
<td align="left">GCCSI <xref ref-type="bibr" rid="B19">Global&#xa0;CCS&#xa0;Institute,&#xa0;(2017)</xref>
</td>
</tr>
<tr>
<td align="left">
<italic>&#x3c9;</italic>
</td>
<td align="left">The CO<sub>2</sub> emission rate of coal-fired power plants (kg/kWh)</td>
<td align="left">0.774</td>
<td align="left">GCCSI <xref ref-type="bibr" rid="B19">Global&#xa0;CCS&#xa0;Institute,&#xa0;(2017)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Scenario setting</title>
<p>Public policies are important in driving a low-carbon transition; the benefits of projects can vary greatly under different policy scenarios. The Chinese government has implemented different policies to reduce carbon emissions. As a renewable energy source, RTDPV has received more government support since its development. PV power generation in China has essentially entered a new phase of flat-rate, subsidy-free development, and PV subsidies are gradually declining, as shown in <xref ref-type="table" rid="T3">Table&#xa0;3</xref>; as such, they were not considered in the scenario setting for RTDPV. The unbalanced development of CCS technology and RTDPV can be seen as a result of different subsidy policy preferences. Therefore, this paper considers the historical subsidy policy of RTDPV, which is also a low-carbon technology, for CCS retrofitting in the scenario setting.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Policies related to subsidies for household distributed PV.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Time</th>
<th align="left">Relevant documents</th>
<th align="left">Subsidy price (CNY/kWh)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2013&#x2013;2017</td>
<td align="left">Development and Reform Price [2013] No. 1638</td>
<td align="left">0.42</td>
</tr>
<tr>
<td align="left">2018/1&#x2013;2018/5</td>
<td align="left">Development and Reform Price [2017] No. 2196</td>
<td align="left">0.37</td>
</tr>
<tr>
<td align="left">2018/6&#x2013;2019/6</td>
<td align="left">Development and Reform Energy [2018] No. 823</td>
<td align="left">0.32</td>
</tr>
<tr>
<td align="left">2019/7&#x2013;2019/12</td>
<td align="left">Development and Reform Price [2019] No. 761</td>
<td align="left">0.18</td>
</tr>
<tr>
<td align="left">2020</td>
<td align="left">Development and Reform Price [2020] No. 511</td>
<td align="left">0.08</td>
</tr>
<tr>
<td align="left">2021</td>
<td align="left">State Energy Development New Energy [2021] No. 25</td>
<td align="left">0.03</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The high initial cost of CCS retrofitting is one factor that often causes investors to hesitate. Therefore, the impact of initial cost on the investment decision is also considered in the scenario setting. In addition, China&#x2019;s unified carbon emission market has been launched, and the power industry is the first industry to be included in the carbon trading market. Therefore, the carbon trading market is also included in the scenarios considered in this paper.</p>
<p>As mentioned above, six different scenarios are set up in this paper to assess the impact of single and synergistic effects of different incentives on project investment decisions. As shown in <xref ref-type="table" rid="T4">Table&#xa0;4</xref>, S1 is the baseline scenario without any incentive mechanism; S2, S3, and S4 consider the single role of the carbon market, initial investment subsidy, and FIT subsidy, respectively; S5 and S6 consider the synergistic roles of both subsidies and carbon market, respectively.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Scenario setting.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Scenarios</th>
<th align="left"/>
<th align="left">Initial investment subsidy</th>
<th align="left">FIT subsidy</th>
<th align="left">Carbon market</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">S1</td>
<td align="left">CCS</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">RTDPV</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">S2</td>
<td align="left">CCS</td>
<td align="left"/>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
</tr>
<tr>
<td align="left">RTDPV</td>
<td align="left"/>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
</tr>
<tr>
<td rowspan="2" align="left">S3</td>
<td align="left">CCS</td>
<td align="left">
<italic>&#x221a;</italic>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">RTDPV</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">S4</td>
<td align="left">CCS</td>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
<td align="left"/>
</tr>
<tr>
<td align="left">RTDPV</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">S5</td>
<td align="left">CCS</td>
<td align="left">
<italic>&#x221a;</italic>
</td>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
</tr>
<tr>
<td align="left">RTDPV</td>
<td align="left"/>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
</tr>
<tr>
<td rowspan="2" align="left">S6</td>
<td align="left">CCS</td>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
<td align="left">
<italic>&#x221a;</italic>
</td>
</tr>
<tr>
<td align="left">RTDPV</td>
<td align="left"/>
<td align="left"/>
<td align="left">
<italic>&#x221a;</italic>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and discussion</title>
<p>The scenario analysis in this section considers the impact of a single incentive mechanism and the synergistic impact of different incentive mechanisms. To make the results more accurate, 10,000 simulations were performed for each scenario. The optimal investment time for all scenarios is shown in <xref ref-type="fig" rid="F3">Figure&#xa0;3</xref> below.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Optimal investment timing.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g003.tif"/>
</fig>
<sec id="s4-1">
<title>4.1 Baseline scenario without incentives</title>
<p>Scenario S1, which considers CCS retrofitting and RTDPV without subsidies or a carbon market, can be considered the baseline scenario. The UNPV and UFV of CCS and RTDPV are shown in <xref ref-type="fig" rid="F4">Figure&#xa0;4</xref>. Ten of the 24 provinces (Anhui, Jiangxi, Henan, Hubei, Hunan, Chongqing, Guizhou, Shaanxi, Ningxia, and Xinjiang) were unsuitable for investment under the NPV method. The differences among the provinces mainly stem from the differences in light resources and electricity prices. Although Ningxia and Xinjiang have acceptable light resources, their FIT are low, only 0.2595 CNY/kWh and 0.25 CNY/kWh. The remaining eight provinces possess poor light resources; among them, Chongqing and Guizhou have the worst unit NPV performance, at &#x2013;142.18 CNY/MWh and &#x2013;150.16 CNY/MWh, respectively. Excepting the above ten provinces, the UNPV of the remaining fourteen provinces is greater than zero, between 13 and 62 CNY/MWh. According to the NPV decision method, at this stage, RTDPV project investments can be made for those fourteen provinces. However, the investment returns are not yet satisfactory. In the discussion above, the real option method shows results that are more in line with reality, where investors tend to wait and all provinces choosing to invest in the last year of the investment validity period, as shown in <xref ref-type="fig" rid="F3">Figure&#xa0;3</xref> above. At this point, the UFV increases by 63&#x2013;180 CNY/MWh in these provinces compared to UNPV. Among them, Chongqing and Guizhou have the highest increase, indicating that the deferred investment in provinces with poorer light resources brings higher returns under this scenario.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>UNPV and UFV of CCS and RTDPV.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g004.tif"/>
</fig>
<p>As for CCS, the UNPV of CCS retrofitting of coal-fired power plants is clearly negative among the 24 provinces in China under the NPV method, indicating that it is not suitable for investment. Among them, Yunnan, Chongqing, and Sichuan are at the lower level of economic efficiency among the 24 provinces, while Xinjiang and Inner Mongolia have the best UNPV performance. This is because the annual operating hours of coal-fired power plants in Yunnan, Chongqing, and Sichuan are relatively low, 2721, 3403, and 3247&#xa0;h, respectively, which are far below the national average of 4640&#xa0;h. Also, the coal price is high compared to other provinces. In contrast, Xinjiang and Inner Mongolia have the country&#x2019;s highest annual power generation hours, exceeding 5000&#xa0;h, and the coal price is less than 300&#xa0;CNY/ton. Under the real option method, the UFV of all provinces is 0, and investment should be abandoned.</p>
<p>In summary, in the S1 case, RTDPV in China is more attractive to investors in some provinces, and investors tend to delay investment to obtain optimal investment value. In contrast, CCS is far inferior RTDPV from an investment standpoint. In the absence of favorable government incentives, coal-fired power plants would likely struggle to apply CCS technology.</p>
</sec>
<sec id="s4-2">
<title>4.2 Comparison of the impact of single incentive mechanism on investment decision of CCS retrofitting and RTDPV</title>
<p>The single-factor effects of the carbon price, initial investment subsidy, and FIT subsidy are explored in three scenarios, S2, S3, and S4, respectively, to compare the investment returns and investment timing of CCS retrofitting and RTDPV. These mechanisms can be effective in promoting CCS retrofitting when the same FIT subsidy scenario as RTDPV is provided, at least in instances where both the UFV and UNPV of CCS retrofitting are better than those RTDPV. The incentive effect of participating in the carbon market is slightly better than the initial investment subsidy.</p>
<sec id="s4-2-1">
<title>4.2.1 Carbon price impact</title>
<p>In S2, the RTDPV and CCS retrofitting cash flows consider carbon trading revenue, and the comparison of the investment returns of S2 and S1 is shown in <xref ref-type="fig" rid="F5">Figure&#xa0;5</xref>. Under the NPV method, the UNPV of RTDPV in S2 increased and was positive in all provinces except for Chongqing and Guizhou, where the UNPV is still negative. This means that investment is a viable option for all provinces except for Chongqing and Guizhou. Under the real option method, the UFV increases by CNY 168&#x2013;276 compared to UNPV. The provinces with the best returns are Liaoning, Jilin, and Heilongjiang, all exceeding 290 CNY/MWh. Chongqing and Guizhou remain on the low end among the 24 provinces examined due to their limited light resources, with returns of CNY 172.66 and CNY 145.87 per MWh, respectively. Although participation in the carbon market increases the value of their investment, provinces tend to delay their investment until the final year due to the high initial cost of RTDPV and the low return brought by the full feed-in model, as well as the lack of stimulus brought by participation in the carbon market (<xref ref-type="fig" rid="F5">Figure&#xa0;5</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparison of CCS and RTDPV investment value in S1 and S2.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g005.tif"/>
</fig>
<p>As for CCS, under the NPV method, the prospects of CCS retrofitting improved compared to S1, but the UNPV remained negative in all provinces. Even the introduction of the carbon market to the NPV method is not enough to encourage investment. Under the RO method, although UNPV is still negative, UFV becomes positive in all 24 provinces, indicating that CCS retrofitting is feasible. However, the investment must be delayed if it is to be profitable. Inner Mongolia has the highest return of 35.98 CNY/MWh, while Yunnan has the lowest return of 16.98 CNY/MWh. CCS under the RO method can flexibly choose the investment timing to obtain the optimal investment value. All provinces in S2 postpone their investment to different degrees until the return rises to a suitable level (<xref ref-type="fig" rid="F5">Figure&#xa0;5</xref>), and the optimal investment timing for most provinces in China is still the last year. In conclusion, under the current carbon price level, participating in the carbon trading market will reduce the application cost of CCS to some extent but does not make it competitive with RTDPV.</p>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Initial investment subsidy impact</title>
<p>The RTDPV scenario in scenario S3 is consistent with S1. Since the upfront investment cost of CCS retrofitting is high, this scenario assumes it is given a certain initial cost subsidy. It was observed that even when the initial cost is fully covered, the UNPV of CCS retrofitting in each province is still less than zero and the UFV is equal to zero, meaning that both the NPV method and the real option method results recommend against making investments. A certain amount of government upfront investment subsidy can offset part of the CCS costs but has a limited effect on promoting CCS investment.</p>
<p>
<xref ref-type="fig" rid="F6">Figure&#xa0;6</xref> compares the incentive effects of initial cost subsidies and participation in the carbon market. Since the UFV of the RO method in both S1 and S3 is equal to zero, this scenario is compared from the NPV perspective. It can be seen that both S2 and S3 have a certain magnitude of cost reduction compared with the base scenario S1, and the effect of participating in the carbon market is slightly better than the initial investment cost subsidy at the current carbon price level.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>CCS retrofitting UNPV for S1, S2, S3.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g006.tif"/>
</fig>
</sec>
<sec id="s4-2-3">
<title>4.2.3 Impact of FIT subsidy</title>
<p>The RTDPV case for scenario S3, which explores. Investment in a CCS retrofitting with the same FIT subsidy as RTDPV, is consistent with S1. The UNPV of CCS is above 160 CNY/MWh in all provinces, and the UFV ranges from 177 to 225 CNY/MWh, which is significantly better than the result of participation in the carbon market and the initial cost subsidy, As shown in <xref ref-type="fig" rid="F7">Figure&#xa0;7</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Comparison of CCS and RTDPV investment returns in S1 and S4.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g007.tif"/>
</fig>
<p>Using both NPV and RO methods, the unit revenue of CCS retrofitting in each province is larger than that of RTDPV, the RO method is more desirable than the NPV method, and the investment timing of each province is more advanced. Optimal investment timings in <xref ref-type="fig" rid="F3">Figure&#xa0;3</xref> shows that Tianjin, Shanghai, Jiangsu, Zhejiang, Jiangxi, Shandong, Henan, Chongqing, Sichuan, Guizhou, Ningxia, and Xinjiang can support immediate investment. With sufficient CCS incentives, CCS retrofitting can become more attractive than RTDPV in most provinces.</p>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Comparison of the impact of combined incentive mechanisms on CCS retrofitting and RTDPV investment decisions</title>
<p>As previously discussed, the effect of a single incentive mechanism can be relatively limited. Subsidies that are too great may impose an enormous financial burden on the government, while low incentives&#x2014;including the existing carbon market&#x2014;are insufficient to encourage investment. The following scenarios consider the impact of a combination of two incentive mechanisms on promoting investment decisions. Combination incentives are more effective than a single mechanism in fostering investment in CCS retrofitting, significantly increasing the investment&#x2019;s value and advancing the investment&#x2019;s timing.</p>
<sec id="s4-3-1">
<title>4.3.1 Synergistic impact of initial investment subsidy and carbon trading market</title>
<p>In S5, the synergistic impact of initial investment subsidies and the carbon market is considered. The RTDPV results are the same as S2, while the UNPV of CCS retrofitting in each province under the NPV method is improved compared with the initial cost subsidy alone (S3). However, investors are still likely to abandon investment. The UFV of each province under the real option method is greater than zero, and investors can choose to invest at this time. However, a total initial cost subsidy does not trigger investors to immediately invest in the project. At the same time, the unit revenue in each province is lower than the RTDPV, see <xref ref-type="fig" rid="F8">Figure&#xa0;8</xref>, Specifically. In other words, the initial cost subsidy at the current carbon price might convince investors to consider investing in CCS projects rather than abandoning them, but they would tend to delay investment and wait for the carbon price to rise to a suitable level.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Comparison of UNPV and CCS-UFV under S3 and S5.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g008.tif"/>
</fig>
<p>As mentioned above, the incentive effect of the carbon market depends on the carbon price, and increasing the carbon price is essential for participation in the carbon market. Therefore, this scenario explores a carbon price threshold with total initial investment cost subsidies (i.e., CCS retrofitting benefits for coal-fired power plants are equal to RTDPV benefits, all other things being equal). The critical carbon price is 1.8&#x2013;2.4 times the current carbon price level (see <xref ref-type="fig" rid="F9">Figure&#xa0;9</xref>), while the higher carbon critical price allows for a 3&#x2013;5 years improvement in the investment timing. At this point, most provinces delay investment by five or 6&#xa0;years (see <xref ref-type="fig" rid="F3">Figure&#xa0;3</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Critical carbon price versus existing carbon price.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g009.tif"/>
</fig>
</sec>
<sec id="s4-3-2">
<title>4.3.2 Synergistic impact of FIT subsidy and carbon market</title>
<p>Scenario S6 considers the synergistic effect of FIT subsidies and the carbon market. The RTDPV results of S6 are the same as in S2. Compared with the single electricity subsidy (S4), the UNPV of each province is above 220 CNY under the NPV method, and the unit revenue of each province and city increases by 45&#x2013;65 CNY/MWh (see <xref ref-type="fig" rid="F10">Figure&#xa0;10</xref>). Under NPV and real option methods, the best performing provinces for CCS conversion revenue are Inner Mongolia and Xinjiang, due to their longer generation hours and lower coal prices among the 24 provinces. Under the real option method, there is a significant improvement in the returns of each province compared to the NPV method, and the investment is triggered earlier. The extent to which investment timing is accelerated varies among the provinces (see <xref ref-type="fig" rid="F3">Figure&#xa0;3</xref>), probably due to the fact that some provinces do not have advantageous operating hours of coal-fired power plants and coal prices.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>CCS retrofitting investment value in S4 and S6.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g010.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F11">Figure&#xa0;11</xref> compares the return per unit of investment between CCS retrofitting and RTDPV. As with the FIT subsidy incentive in isolation, the return on CCS retrofitting is higher in this case than RTDPV for all 24 provinces. As shown in <xref ref-type="fig" rid="F3">Figure&#xa0;3</xref>, immediate investment is available in most provinces of China.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Comparison of CCS retrofitting and RTDPV unit investment returns.</p>
</caption>
<graphic xlink:href="fenrg-10-1033365-g011.tif"/>
</fig>
<p>It is worth noting how some provinces have sufficient light for RTDPV investment but limited application of CCS technology. For example, the UNPV of RTDPV in Hainan and Qinghai is 130.11&#xa0;CNY/MWh and 123.74&#xa0;CNY/MWh, respectively, but geological conditions will limit the deployment of CCS. This phenomenon also shows that regional heterogeneity must be considered when developing CCS and RTDPV installations.</p>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>To maintain the stability and sustainability of the power supply during the accelerated transformation of China&#x2019;s energy mix to clean and low-carbon sources, the country&#x2019;s coal power industry must play a key role. In this regard, the synergy of CCS retrofitting of coal-fired power plants and RTDPV is indispensable. This study evaluates and compares the investment returns and timing of CCS projects and RTDPV in different regions of China based on real option method. The main conclusions are as follows:<list list-type="simple">
<list-item>
<p>&#x2022; With the low current carbon price lack of incentive policies, CCS retrofitting is at a disadvantage compared to RTDPV, and it is less attractive for coal-fired power plants to undertake carbon emission reduction due to the high cost of CCS application. When CCS does not participate in carbon trading, all provinces and municipalities chose to abandon their investment under both the NPV method and the real option method. With participation in carbon trading, although UNPV is still less than zero, its UFV starts to turn from negative to positive, indicating that the NPV method underestimates the investment value of the project. The project is feasible under the real option method, although all provinces chose to postpone investment to varying degrees and wait for the return to rise to a suitable level. As for RTDPV, due to differences in light resources and electricity prices, ten of the 24 provinces (Anhui, Jiangxi, Henan, Hubei, Hunan, Chongqing, Guizhou, Shaanxi, Ningxia, and Xinjiang) were not suitable for investment under the NPV model; even when incorporating the carbon market, Chongqing and Guizhou were not suitable for investment. Under the real option method, it is not yet possible to achieve immediate investment nationwide. Returns improved in each province but remained low enough that investors would likely postpone their investment to get the optimal investment value.</p>
</list-item>
<list-item>
<p>&#x2022; By subsidizing the initial investment cost of CCS, this technology becomes attractive for investment under some conditions, but it yielded lower returns than RTDPV. Specifically, in the case of non-participation in the carbon market, either the NPV or the real option method could only partially offset the cost of CCS and could not induce investors to invest in the project. At the current carbon price level, participation in the carbon market is slightly better than the initial investment cost subsidy. In the case of participation in the carbon market, the NPV method would result in no investment. In contrast, the real option method makes investment viable but would not trigger investors to invest immediately. Provinces often would choose to invest in the last year of the investment period.</p>
</list-item>
<list-item>
<p>&#x2022; If CCS is given the same FIT subsidy as RTDPV development, the outcome is significantly better than that of the carbon market incentive effect and initial investment cost subsidy. Regardless of whether the carbon market is utilized, the unit revenue of CCS retrofitting is better than the current RTDPV level under both the NPV and real option methods, and the real option method is more desirable than the NPV method. Investment timing moves forward in all provinces, with ten provinces (Tianjin, Shanghai, Jiangsu, Zhejiang, Jiangxi, Shandong, Henan, Chongqing, Sichuan, Guizhou, Ningxia, and Xinjiang) reaching immediate investment. Participation in the carbon market can promote earlier investment timing in most provinces across the country, and 16 provinces can invest in CCS retrofitting projects immediately at this time.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s6">
<title>6 Recommendations</title>
<p>In conclusion, China&#x2019;s green, low-carbon technology system for carbon neutrality has not yet been fully established. There is still a large gap between the existing emission reduction technologies and the actual demand for carbon neutrality. On the one hand, renewable energy projects, such as RTDPV, should be developed; on the other hand, the transitional role of CCS in accelerating the low-carbon transition in the coal power industry should be emphasized. Specifically, this paper provides the following recommendations.</p>
<p>First, the government should refine regulations and the policy system to enhance the broad consensus on carbon emission reduction among enterprises and the public. China currently allocates carbon emission quotas from top to bottom, and there is a lax distribution of quotas. It can refer to the carbon quota auction mechanism of EU-ETS to precisely match the needs of enterprises and give full play to the critical role of market mechanisms in addressing climate change.</p>
<p>Second, the synergy effect of CCS retrofitting and RTDPV should be exploited. Referring to RTDPV, the implementation of a subsidy policy provides a guarantee for its large-scale development and highlights the importance of policy incentives for CCS applications at scale. The government can develop a reasonable subsidy policy for CCS decarbonized power generation to support CCS retrofitting projects in suitable provinces with excess power supply and weak light resources that cannot effectively utilize RTDPV, such as Chongqing and Guizhou. In addition, as the primary cost bearer of the CCS chain, the carbon capture sector should be subsidized.</p>
<p>Third, with the establishment of the national carbon trading market, the coverage of the carbon market should be further expanded, and the supporting policies of the national carbon market should be established and improved to promote a steady increase in carbon prices. The International Energy Agency proposes a guideline carbon price for the BRIC countries, including China, of $45 in 2025, $90 in 2030, and $200 in 2050 (<xref ref-type="bibr" rid="B25">International&#xa0;Energy&#xa0;Agency,&#xa0;2021</xref>). To reduce the subsidy pressure for implementing CCS, the government can introduce relevant measures to increase the carbon trading price.</p>
<p>Finally, the cost is a significant constraint for both RTDPV and CCS retrofitting. In recent years, driven by environmental protection policies and a significant decrease in the cost of renewable energy, especially the cost of PV has decreased by nearly 82% between 2010 and 2019 (<xref ref-type="bibr" rid="B27">International&#xa0;Renewable&#xa0;Energy&#xa0;Agency,&#xa0;2020</xref>), which makes RTDPV grid parity possible. According to the International Energy Agency, CCS technology has the potential to significantly reduce costs by improving technology and increasing efficiency. The Boundary Dam and Shand power plants can save approximately 30% of their cost (<xref ref-type="bibr" rid="B26">International&#xa0;Energy&#xa0;Agency,&#xa0;2020</xref>). Thus, China should increase the investment in the Research and Experimental Development of CCS to reduce its cost as soon as possible and accelerate its large-scale application process.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>CY is responsible for the conception and design of the work, drafting, and overall project leadership and management. YC was responsible for material preparation, data collection and analysis, and additional writing of the paper. LH and QJ analyzed or interpreted the data of the work, published comments on previous versions of the original draft, and optimized the scene analysis.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This paper was supported by the National Natural Science Foundation of China, grant number 72071058; the National Natural Science Foundation of China, grant number 71771076.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12">
<title>Abbreviations</title>
<p>CCS, Carbon capture and storage; RTDPV, Distributed photovoltaic; CO<sub>2</sub>, Carbon dioxide; NPV, Net present value; GW, Gigawatt; FIT, Feed-in tariff; kW, Kilowatt; CO<sub>2</sub>-EOR, Carbon dioxide enhanced oil recovery; EU-ETS, The European Union Emissions Trading System; O&#x26;M, Operation and maintenance; tCO<sub>2</sub>, Tonne of carbon dioxide; LSMC, Least-squares Monte Carlo; MWh, Megawatt hour; UNPV, Unit net present value per megawatt hour; UFV, Unit total investment value per megawatt hour; BRIC, Brazil, Russia, India and China.</p>
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