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This paper proposes two distinct numerical simulation methods using finite-element time-step analysis for predicting the current waveform of a switched reluctance machine drive and explains them in detail. It evaluates and compares the methods in terms of waveform results and simulation time, with the focus on only single pulse mode operation. The paper also reviews important factors that affect the simulated current waveforms. It presents and compares measured and simulated multi-phase current waveforms of a 49 kW switched reluctance machine drive under single pulse mode operation.