In view of the difficulty in rapidly acquiring the phase flux linkage and phase torque of a switched reluctance motor (SRM) during operation, a simplified SRM flux linkage model is proposed, which can quickly and accurately calculate the motor’s phase flux linkage and phase torque. First, different coupling coefficients ε are adopted in the proposed modeling strategy to fit the measured curves at each angle, which effectively improves the accuracy compared to the low-order Fourier decomposition method. Second, to address the problem of inaccurate flux linkage data caused by friction coefficients and measurement errors during the operation of the motor in manufacturing process, a compensation strategy based on the motor’s acceleration loop is proposed, further improving the accuracy of the flux linkage model. Finally, the phase current waveforms obtained from the third-order Fourier magnetic flux model and the proposed magnetic flux model under different control strategies are compared on a 12/8 SRM, verifying that the proposed method achieves higher modeling accuracy.