Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 697-703.doi: 10.13229/j.cnki.jdxbgxb20191122

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Reliability analysis of wind power generation system based on Markov process

Zhi-xin ZHAO1,2(),Hui TANG1,Ren-yun LIU1()   

  1. 1.School of Mathematics，Changchun Normal University，Changchun 130032，China
    2.School of Mathematics，Jilin University，Changchun 130012，China
  • Received:2019-12-09 Online:2021-03-01 Published:2021-02-09
  • Contact: Ren-yun LIU E-mail:jczzx10@163.com;liurenyun2005@163.com

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Abstract:

This paper discusses a multi-state repairable and degraded wind power generation system with multiple maintenance strategies. According to the operating environment and the principle of wind power generation system， the reliability model of this system is established by using Markov process and reliability theory. This wind power generation system can be degraded into several discrete states over time， and the system can be converted into more intermediate states between the good state and complete failure. Then the system can be transformed into an abstract Cauchy problem， and the existence and uniqueness of the state probabilities of the repairable degenerate system are discussed. Finally， the simulation of the state probability， availability and other indexes of the degradation system was carried out under the determined energy efficiency grade. The study shows that the wind power system can be described by Markov process， and this model can effectively make quantitative analysis of the system reliability index.

Key words: systems engineering, repairable system, Markov process, availability

CLC Number: 

  • TB112

Fig.1

System reliability block diagram of wind power generation system"

Fig.2

Two-states of wind power generation system"

Fig.3

Degraded wind power generation system"

Fig.4

System state transition diagram"

Fig.5

State probability"

Fig.6

Instantaneous availability Av(t)"

Fig.7

Output performance expectation τ(t)"

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