考虑参数时变性与经济性优化的数字化保护系统可靠性分析

Reliability Analysis of Digital Protection System Considering Time-varying Parameter and Economic Optimization

为解决数字化保护系统可靠性,采用三角隶属函数模糊化失效率、修复率参数,并通过对数字化保护系统建立模糊Markov模型,分析参数时变性对其可靠性的影响;同时建立一种兼顾可靠性与经济性的优化模型,提出了最优可靠度、最优失效率、最优修复率的概念,即可靠性参数在模糊区间上取一个最优值,在确保系统可靠性的基础上使得经济成本越低;最后通过实例分析,验证该方法的有效性。结果表明,在考虑参数时变性的前提下,通过求解可靠性与经济性的优化模型可得到系统的最优经济成本。研究成果可为实际工程提供借鉴。

In order to solve the reliability of digital protection system, the triangulation member function was used to fuzzify the failure rate and repair rate parameters. The influence of time-varying parameter on its reliability was analyzed by establishing a fUzzy Markov model for the digital protection system. Considering the reliability and economy, an opti- mization model was established. And then the concept of optimal reliability, optimal failure rate and optimal repair rate were proposed, that is, the reliability parameter takes an optimal value in the fuzzy interval, and the lowest economic cost is made on the basis of ensuring the reliability of the system. Finally, the effectiveness of the method was verified by an example analysis. The results show that the optimal economic cost of the system can be obtained by solving the reliability and economic optimization model under the premise of considering time-varying parameter. The research results can provide reference for practical projects.