General circuit equation formulation method for simulation of a power electronic system

AbstractThis 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 conversation equations which express a conservation law in each physical system like 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 a mixed physical system generally by formulating equations simultaneously with node variables of systems and necessary constraint equations. MNA has special features such 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 prototype 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 syste