关于KCL、KVL和特勒根定理相互关系的讨论

Discussion on Relationship between KCL,KVL and Tellegen Theorem

KCL、KVL和特勒根定理描述了电路的拓扑约束关系,三者之间的关系是:任意两者可推导出第三者。本文在文献[3]的基础上,借助于电路图论和基本回路矩阵、基本割集矩阵的概念给出了关于KCL、KVL和特勒根定理相互关系的证明。本文的讨论有助于深刻理解KCL、KVL和特勒根定理及其之间的关系,可供从事电路教学的教师参考。

KCL,KVL and Tellegen theorem have described the topology of circuits.Any one among KCL,KVL and Tellegen theorem will hold if the other two hold.On the basis of reference[3],relationship among KCL,KVL and Tellegen Theorem has been given and proved through circuit topology and fundamental loop matrix and fundamental cut set matrix.It is helpful for understanding KCL,KVL,Tellegen theorem and their relationship and also for teaching of circuit course.