The paper presents the deduction of a novel decoupled form (considering the differential current quantities) of the differential mathematical model in stator reference frame, useful for numeric simulation of control approaches for PMSM (permanent magnet synchronous machines) generalized for both IPMSM and SPMSM (salient and non-salient PMSM). The model is confirmed to be equivalent to the well-known model defined in the rotor synchronous reference frame using a Matlab-Simulink implementation that is verified and validated by simulation during which the power/energy conservation is monitored and the system states’ evolution is compared to the reference model in rotor reference frame using a generator structure.