Health Status Evaluation of Catenary Based on Normal Fuzzy Matter-Element and Game Theory

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ORIGINAL ARTICLE

Health Status Evaluation of Catenary Based on Normal Fuzzy Matter‑Element and Game Theory Lingzhi Yi1 · Jian Zhao1 · Wenxin Yu2 · Guzong Long3 · Haoyi Sun1 · Wang Li4 Received: 6 March 2020 / Revised: 20 June 2020 / Accepted: 1 July 2020 © The Korean Institute of Electrical Engineers 2020

Abstract At present, there is no unified standard for the health status evaluation of electrified railway catenary in China. The current catenary evaluation model only considers quantitative detection indicators, without qualitative indicators such as weather, which is one-sided to some extent. Thus, an improved catenary status evaluation model is constructed with both quantitative indicators and qualitative indicators. In this evaluation model, the normal fuzzy matter-element method is used to determine the correlation value of each grade, and the weighted average principle is used to re-determine the status grade of catenary when the maximum correlation principle fails. Meanwhile, entropy weight method and particle swarm optimization algorithm to optimize analytic hierarchy process method are combined to improve the shortcomings of single weight method, and game theory is used to determine the subjective and objective weight coefficients, so as to reduce the influence of subjective experience. Select a Chinese railway catenary in 2018 as an example for verification analysis, the results show that the model constructed in this paper can effectively help professionals to make correct judgments on the health status of catenary, and provide a new idea and method for the comprehensive evaluation of the catenary operation status, which has certain practicability. Keywords  Catenary · Fuzzy matter-element evaluation · Game theory · Combined weights · Weighted average principle

* Jian Zhao [email protected] Lingzhi Yi [email protected] Wenxin Yu [email protected] Guzong Long [email protected] Haoyi Sun [email protected] Wang Li [email protected] 1



Hunan Province Engineering Research Center for Multi‑Energy Collaborative Control Technology, College of Automation and Electronics Information, Xiangtan University, Xiangtan, Hunan, China

2



School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, Hunan, China

3

CRRC Zhuzhou Electric Co., Ltd, Zhuzhou, Hunan, China

4

The State Key Laboratory of Heavy Duty AC Drive Electric Locomotive Systems Integration, Zhuzhou, Hunan, China



1 Introduction With the rapid development of electric energy and engineering technology, railway transportation power has gradually changed from the traditional internal combustion and steam locomotive traction to electric locomotive traction. More and more railway lines have been electrified. The increase of electrified mileage is inseparable from the safe operation of catenary. Catenary is a special power supply line of electrified railway. Its structure and working mode are very complex. It is usually set up over the railway track and arranged in the open air. It is vulnerable to the hig