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The paper presents a simple model for the nonlinear magnetization characteristics of a switched reluctance motor (SRM). The flux linkage is given as a continuous mathematical expression, depending on the phase current and rotor position. This expression can then be differentiated or integrated easily without computer use; it enables finding a mathematical formula for the instantaneous torque of each phase. The model is valuable for computer-aided designs, especially for sizing and initial estimates, where accuracy can be traded with time saving. The model was implemented to verify its degree of accuracy. The simulation program has the ability to calculate numerous parameters that can be very useful for quick estimates of the efficiency for a particular SRM drive or even when choosing a particular motor.