考虑负载效应的可修表决系统可靠性仿真模型

Repairable k-out-of-n: G Reliability Simulation Modeling Considering Load-sharing Effect

主要分析可修表决系统的可靠性指标算法。传统的基于元件寿命独立同分布假设的模型无法考虑负载效应因素,而考虑负载效应的解析算法虽然计算精度高速度快,但难以求解任意元件寿命分布和高维数问题,而且主要是针对不可修系统。基于元件加速失效模型和累积暴露模型建立了元件寿命抽样算法,并在此基础上实现了考虑负载效应的可修表决系统蒙特卡罗仿真算法和程序。以柔性输电设备换流阀可靠性计算为例,算法的高效性和结果的正确性得到验证,并且由此得到负载效应对可靠性指标的影响随系统运行时间变化的结论。

Computing method of the reliability indices were analyzed for the repairable k-out-of-n： G system.The impact of load-sharing is not considered in conventional component model based on the hypothesis that all components are independent identically distributed.Analytical method considering load-sharing effect is accurate,however,it is difficult to solve the problem with arbitrarily life distribution and high dimension,and it is applied only to non-repairable system.According to the component reliability model considering constant-stress and cumulative effect of exposure,the sampling method was developed for the component life distribution.The simulation algorithm and program were realizd to calculate the reliability indices of the repairable k-out-of-n：G system.Taking valves in the converter for an example,the results demonstrate great practical value with its satisfactory accuracy and efficiency,and also illustrate that the load-sharing influence is varying with the runtime.