Computer-aided simulation technique of digitally controlled switched-mode power conversion circuits and systems using state variable matrices

A new generic simulation approach is presented in order to analyze digitally-controlled switching mode power converters. The computer-aided simulation procedure proposed here is based on a circuit equation modeled by time varying resistors taking place of the active switches and diodes, a state equation for the inductors and the capacitors, and an algebraic computation method to transform the matrices of the circuit equation into the matrices of the state equation. The feasible estimation method of the calculation time step in the numerical integration to solve the state equation is also discussed with its eigenvalues