基尔霍夫定律中的“独立回路”

The concept of "independent circuit" in KVL

对电路理论基尔霍夫定律中"独立回路"概念进行讨论,提出较为合理的独立回路的概念,并运用线性代数、几何方法、拓扑图论等方法,分别对平面电路网络和立体电路网络进行讨论,证明在此规定下基尔霍夫方程的独立性和解的确定性.

The basic concept of ＂independent circuit＂ in KVL was defined incorrectly by some authors previously. This paper points out clearly the problem and suggests a more accurate definition. Further, with ＂independent circuit＂ defined in the new way, the paper proves the independence of Kirchhoffs equations and the uniqueness of solutions to those equations by using some methods of linear algebra, geometry and topology.