针对采用概率方法进行故障诊断易造成调度操作风险大的问题,提出一种配电网故障诊断的多因素分级Petri网模型,主要解决断路器或保护拒动、误动等故障信息不确定情况下的故障问题。该方法充分考虑了保护启动信息、保护出口信息、重合闸动作信息、断路器动作信息、事件顺序记录(sequence of event,SOE)时序信息以及连续电气量,实现故障信息不确定情况下的电网故障诊断。当电网故障存在信息不确定情况时,首先将连续电气量和SOE时序信息作为该模型的一级诊断区的输入,然后通过将连续电气量的故障时刻与SOE时序的故障时刻进行比较,根据比较结果判断并激发托肯能量变化的推理过程,给出存在信息不确定的情况下电网故障诊断结果。最后,针对某局部配电网模型进行了仿真验证,结果表明了该方法的有效性。
This paper is concerned with the problem of stability analysis of nonlinear Roesser-type two-dimensional(2D) systems.Firstly,the fuzzy modeling method for the usual one-dimensional(1D) systems is extended to the 2D case so that the underlying nonlinear 2D system can be represented by the 2D Takagi-Sugeno(TS) fuzzy model,which is convenient for implementing the stability analysis.Secondly,a new kind of fuzzy Lyapunov function,which is a homogeneous polynomially parameter dependent on fuzzy membership functions,is developed to conceive less conservative stability conditions for the TS Roesser-type 2D system.In the process of stability analysis,the obtained stability conditions approach exactness in the sense of convergence by applying some novel relaxed techniques.Moreover,the obtained result is formulated in the form of linear matrix inequalities,which can be easily solved via standard numerical software.Finally,a numerical example is also given to demonstrate the effectiveness of the proposed approach.
