AUTHOR=Zhang Jiaxin , Wang Bo , Wang Hongxia , Ma Hengrui , Ma Fuqi , Li Yifan , Zhang Yingchen 

TITLE=Operation State Evaluation Method of Smart Distribution Network Based on Free Probability Theory

JOURNAL=Frontiers in Energy Research

VOLUME=Volume 9 - 2021

YEAR=2022

URL=https://www.frontiersin.org/journals/energy-research/articles/10.3389/fenrg.2021.803010

DOI=10.3389/fenrg.2021.803010

ISSN=2296-598X

ABSTRACT=In view of the current situation that the new generation of smart grid with "double height" characteristics is in urgent need of effective state evaluation methods due to the characteristics of strong volatility and diverse demands, a method of operation state evaluation of smart distribution network based on free probability theory is proposed, which is combined with high-order moment indexes to describe the operation trajectory of distribution network from a data-driven perspective. Firstly, the state assessment problem of smart distribution network is modeled as a binary hypothesis testing problem, and the asymptotic free equation is established based on free probability theory to provide a framework for state assessment of distribution network. Then, a high-order moment evaluation index was proposed, combined with the sliding time window processing, and the high-order moment sequence was obtained based on the high-dimensional data of the distribution network, which was used to describe the state evolution of the distribution network. Finally, this method is applied to a certain 110kV distribution network. The analysis of an example shows that the proposed evaluation framework and indicators can effectively reflect the data changes in the distribution network, and support the state assessment and evolution analysis of the distribution network.