This paper proposes a novel permanent-magnet synchronous motor (PMSM) mathematical model based on the premise that only armature reaction flux causes iron loss. It insists that the total loss in the case of zero torque is minimized by only zero stator current, which is consistent with experiences of engineers. The model consists of three basic equations that are self-consistent with others, and consequently have no mathematical contradiction. In addition to the model, this paper proposes a PMSM vector simulator based on the model. Moreover, the vector simulator is validated by numerical experiments.
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