模拟电路k故障诊断理论的数学模型

Mathematical Model of k-fault Diagnosis in Analog Circuit

故障诊断理论是模拟电路故障诊断理论的一个重要分支。现已提出的k故障诊断方法有支路法、节点法、割集法、回路法以及网孔法,这些方法都能较好地完成故障定位与故障定值,并在可测性设计方面有了较大的发展,但是这些方法还没有一个统一的理论模型。本文对这几种方法进行了总结和概括,提出了k故障诊断理论的统一数学模型,这项研究工作的目的是为了加强k故障诊断理论的系统性和严密性,并为更深入的研究和实践提供了理论依据。

k - fault diagnosis theory is an important branch in the fault diagnosis of analog circuits. The existing k - fault diagnosis methods include branch - fault diagnosis, node analysis method, cut faulty diagnosis, the loop - fault, and mesh - fault diagnosis. Fault location and fault fault identification have been carried out by all methods perfectly. Also the methods have been developed in design for testability. But there is no united theory model. The summary of the methods and the mathematical model of k - fault diagnosis are introduced in this paper. The aim of the research work is to strengthen the systematization and integrality of k - fault Diagnosis theory. And it provides the theory basis for the further research and practice.