论具有恒定通量的复杂非线性网络的试探解法

本文将网络变换法推广于解任意复杂的具有恒定通量的非线性网络,在应用这种方法时,从网络几何的观点上研究了寻求最佳解案的问题,并获得了一些初步结果。在附录1中将王显荣建议的解法——克希荷夫方程法和本文介绍的网络变换法作了一些比较。在附录2中,研究了其中包含有可分出来的线性网络部份的非线性网络,得到了当这种网络包含有任意多个非线性元件时的解案。

ON THE "CUT AND TRY" METHOD FOR SOLVING THE COMPLICATE NON-LINEAR NETWORK WITH CONSTANT FLUX

The recent advances of the "cut and try" method for solving the complicate non-linear network with constant flux are reviewed in the present paper.The network-transform method suggested by P. A. lonkin(who has solved some special non-linear networks by means of this method) is extended and applied to non-linear network however complicated.Some researches for optimum solving-plan when using this method is discussed in detail.In Appendix 1, the comparison of the network-transform method and the Kirchhoff's equations-method suggested by Wang is given.In Appendix 2, the application of superposition theorem to a " mixed network" (containing not only non-linear elements but also the portion constructed by linear elements) is considered in a general case, where the network contains any number of non-linear elements.