Optional Power Distribution for Individual Time Trial Provisionally Accepted
Xinyu Kan
Yan Zhao- 1Anhui University of Finance and Economics, China
Abstract：Individual time trial is a road cycling race that has extraordinary high demands on the cyclists of their ability and strategy. A cyclist's ability is usually represented by the power curve. In this paper, the cyclist's power profile is defined based on the modified MMP(Mitochondrial Membrane Potential) equation, which can reflect the cyclist's ability precise only. In this way, we calculated and presented the power profiles of different types of cyclists. For each category of cyclists, gender differences are discussed. For the purpose of allocating the power output to achieve the best result, we developed an optimal power distribution model based on objective programming. First, considering the energy consumption and recovery of the cyclist during the ride, we modelled the differential equation of anaerobic energy, using the critical power as a boundary. Second, we conducted a force analysis of the state of the cyclists during the ride. The analysis of aerodynamic and frictional resistance are taken into account, and the cyclist's kinetic model under windless conditions was established. Third, a single-objective planning model to determine the optimal power allocation is developed based on the above two models taking the power profile and maximum cornering speed as limitations. Finally, we describe the differential equations in the models and implemented the models in different courses through simulated annealing algorithm. We ultimately draw a conclusion: in a flat track, the constant speed strategy will be the best strategy, and only when facing uphill, downhill or sharp turn, we need to adjust the strategy according to the actual situation, which is also the significance of establishing fatigue model and physical strength model. Keywords：Individual time trial, the power curve, MMP equation, an optimal power distribution model, objective programming
Keywords: individual time trial, the power curve, MMP equation, an optimal power distribution model, Objective programming
Received: 02 Dec 2023;
Accepted: 18 Mar 2024.
Copyright: © 2024 Kan, Yuan and Zhao. 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) or licensor 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.
* Correspondence: Ms. Xinyu Kan, Anhui University of Finance and Economics, Bengbu, China