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本世纪三十年代,G.Kron在保持功率为不变量的假设下,提出了由原网络到实际网络的变换公式。人们早就指出过,G.Kron的假设是错误的,但公式却是正确的。这种假设错误与结果正确之间的矛盾问题,一直没有得到完满的解决。本文引进中间网络及其中间原网络的概念,以矩阵为工具,在功率不为不变量的条件下得出由原网络到实际网络的变换公式,并用矩阵方法证明了原网络功率等于实际迴路网络的功率与实际节偶网络的功率之和。
In the thirties of this century, G.Kron put forward the transformation formula from the original network to the actual network under the assumption of keeping the power invariant. It has long been pointed out that G.Kron’s assumption is wrong, but the formula is correct. The contradiction between this hypothetical error and the correct result has not been satisfactorily solved. In this paper, we introduce the concept of intermediate network and its original intermediate network. Using matrix as a tool, we derive the transform formula from original network to actual network under the condition of invariable power, and prove that the original network power is equal to the actual loop network Of the sum of the power of the actual nodal network.