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.