Transient Analysis of Three-Phase Non-linear Circuits by means of Homotopy Method

In this paper a class of homotopy functions for transient analysis of non-linear circuits is described. This class of homotopy is based on the hypothesis that the modified nodal analysis is used to solve the circuit. The method is employed for the simulation of a three-phase converter. The results show the reduction of the iteration number to trace the waveforms of the circuital variables preserving the accuracy of numerical results