An improved algorithm for fast discrete time domain modelling of power electronic circuits

Abstract

An exact solution of the state differential equations for a power electronic circuit, incorporating a time discretization and a basis transformation, is presented. An eigenvalue-eigenvector expansion of the system matrix allows the efficient evaluation of the state transition matrix and particular integral. A binary search algorithm that does not require the recalculation of the exponential matrix can be used to obtain the state switching times. The basis transformation results in an exact solution when the input forcing function has an arbitrary time variation. Examples that illustrate the features of the method are presented.<>