摘要
采用部分可观Petri网的故障诊断方法来解决变电站输电系统中不可观事件和不可观运行状态的故障诊断问题.首先,将系统可观测序列分解为长度为1的基础观测序列,应用线性不等式矩阵计算与基础观测序列相符的点火序列集;然后,基于整数线性规划问题,利用向前向后函数拓宽诊断区间,同时应用参数K限定故障诊断序列长度,通过分析系统可观事件和系统部分可观状态,给出故障诊断结果.最后,构造变电站输电系统的部分可观Petri网模型,应用提出的故障诊断算法对输电系统进行诊断,诊断结果准确给出了故障发生与否及故障发生位置.算法适用于在线故障诊断,计算复杂性线性相关于观序列长度.
The fault diagnosis method with the partially observed Petri nets is applied in the research of the substation transmission systems, which has some problems in unobserved events and unobserved states of the system. First, the system observation sequences are decomposed into elementary observation sequence of length 1. Linear matrix inequalities are used to compute the firing sequences consistent with each elementary observation sequence .Then, based on integer linear programming problem, the diagnosis range are broaden by using forward - backward function and parameter K limited the length of fault diagnosis sequence. Though analyzing the observation sequences that include some observable events the partial measurement of the successive states visited by the system, the fault diagnosis decision is given. To the end, the substation transmission system model are constructed with partially observed Petri nets, applying the proposed fault diagnosis algorithm to verify whether the fault occurs or not. This algorithm is suitable for on-line fault diagnosis, and the algorithm of linear-complexity is respect to the length of the observation sequences.
出处
《数学的实践与认识》
北大核心
2017年第12期155-165,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金(61473144)
关键词
部分可观Petri网
故障诊断
整数线性规划
变电站输电系统
置信度
Partially Observed Petri Nets
fault diagnosis
integer linear programming
sub-station transmission system
belief