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 third decade of this century
a set of transformation formulas of electrical networks was proposed by G. Kron basing on the assumption of invariance of power between the primitive and actual networks [LI]. It has been pointed out by some authors that Kron’s assumption is incorrect but his formulas give correct results. The problem of the contradiction between the incorrect assumption and the correct results has not yet been well solved. In this paper
the transformation formulas of electrical networks are derived with intermediate network and its primitive intermediate network without basing on the assumption of power. By means of matrix method
it is proved that the total power of primitive network is equal to the sum of the powers in the actual mesh network and the actual node network.
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