A new technique for the time-domain simulation of power electronic circuits is presented. The methodology is based on stepwise quadratic extrapolation of the reactive element branch voltages with progressive validation of the switches' operations. The prominent features of this algorithm are: (1) its simplicity of solving a resistive network throughout the analysis without dealing with any complicated Laplace-transformed equation or differential formula; (2) its generality of determining the topological configuration without a priori understanding of the switching relationships; and (3) its consideration of the effects of parasitic elements. An example of a practical switch-mode buck regulator with overcurrent protection and maximum duty-cycle control is illustrated. The simulated results are favorably verified with the waveforms obtained by other available literature.
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