In this paper, the authors present a nonlinear modeling of multiphase switched reluctance motors (SRMs) in which both the self-and mutual-couplings among all phases are described in terms of self-inductance, mutual-inductance and coupling coe cients. Moreover, a novel iteration algorithm to solve the initial value problems of the modeling is proposed. Expressions for computing the instantaneous torque from both the self-and mutual-coupling are derived, too. The simulation and experimental results are compared as a validation of the proposed methods and iteration algorithms.