Mathematical modelling of matrix- reactance frequency converter described by nonstationary differential equations

This paper introduces a method for calculating steady-state processes in a three-phase matrix-reactance frequency converters (MRFC) that are described by nonstationary periodical differential equations. An approximation of the solution is based on the use Galerkin's method and an extension of differential equations of one variable of time to equations of two variables of time. The results of calculations for processes in a three-phase MRFC with buck-boost topology are obtained in the form of a double Fourier series and compared with the numerical method.