Steady and transient states modelling methods of matrix-reactance frequency converter with buck-boost topology
Purpose ‐ The purpose of this paper is to introduce methods for calculating steady-state and transient processes in a symmetrical three-phase matrix-reactance frequency converter (MRFC). The MRFC in question makes it possible to obtain a load output voltage much greater than the input voltage. Design/methodology/approach ‐ MRFCs based on a matrix-reactance chopper are used for both frequency and voltage transformation. The processes in a MRFC system are described by nonstationary differential equations. A two-frequency complex function method is proposed for solving non-stationary equations in steady-state. The method is applied to a state-space averaged mathematical model used in the analysis of the discussed MRFC. A two-frequency matrix transform is proposed for solving non-stationary equations. This method can be used to find both transient and steady-state processes. Findings ‐ The two-frequency complex function method permits the reduction from 12 non-stationary differential equations to four stationary differential equations. The two-frequency matrix transform allows the transformation of non-stationary differential equations to stationary ones. By using these methods descriptions of steady-state and transient properties of buck-boost MRFCs are obtained. Originality/value ‐ A new method of solving of nonstationary differential equations is presented. The method is useful for process analyses in nonstationary power electronic converters.
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