General Circuit Equation Formulation Method for Simulation of a Power Electronic System

Abstract

This paper proposes a general circuit equation formulation method by generalizing the conventional modified nodal analysis (MNA) method. The method consists of two equation types; one is conservation equations which express a conservation law in each physical system like the Kirchhoff’s law for an electrical system and the other is constraint condition equations, for example, signal flow relations in a control system. Therefore it is possible to analyze mixed physical system generally by formulating equations simultaneously with node variables of systems and necessary constraint equations. MNA has a special feature that it can express contributions of each element or component to the equations simply and clearly by a so-called stamp. This paper derives how to express the contributions and get a stamp for the equations. A stamp is flexible and not unique and dependent on purposes. It is possible to select a stamp for each element to be compatible with ones by the Tableau method. A proto type simulation program is developed and validated for four application examples which are selected to show how the proposed method works. It is possible to simulate a power electronic system generally by developing such a simulator which can handle general stamps from input data information flexibly.