A New Mathematical Model Based on Laplace and Modified Z Transform For Investigation of Three-Phase Switched Circuits

نویسنده

  • JIRI KLIMA
چکیده

A new mathematical method for time-domain analysis of power converters with periodic switching cuircuits is proposed .The method is based on mixed using of the Laúlace and modified ZTransform in linear periodically time-varying system. The model was used for the analysis of three-phase voltage source inverters with Space Vector PWM feeding a three-phase static load,but it is applicable for all types of converters with an explicitly determined output voltage (converters with forced commutation) and periodical modulation. Instead of solution of algebraic equations for the initial current conditions the change of switching instants is reflected in the solution only by a change in two values mk and nk.From the modulated waveforms we can easily obtained equations for the six step waveforms.The derived equations are validated using a 3 kW three-phase inverter. Key-Words:Mathematical model,Laplace transform,Modified Z-Transform

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تاریخ انتشار 2008