SUMMARYThis paper proposes a new well-organized dynamic mathematical model and new dynamic vector simulators for newly emerging self-excited hybrid-field synchronous motors (SelE-HFSMs) that have rotor field by both permanent magnet and diode-shorted field winding. The proposed new mathematical model has the following completeness and generality: (1) it consists of three consistent basic equations such as circuit, torque-evolution, and energytransmission equations; (2) it deals with pole saliency and contains nonsaliency as a special case; (3) it is a dynamic model and contains a static one as a special case; and (4) it is established in the general reference frame including the stator and rotor reference frames as special cases. The proposed new dynamic vector simulators are established in the form of a vector block diagram based on the new model. They have the following attractive features: (1) they succeed in realizing clear configurations with physically meaningful vector signals, which clearly show motor electromagnetic mechanism; (2) vector signals utilized as transfer signals between blocks are defined in the general reference frame; consequently, the simulators in the frame can be directly and easily reduced to the ones in the stator and rotor reference frames; (3) they are compact, and can be easily programmed by commercially available standard simulation software. Two typical and compact but sufficiently general dynamic vector simulators are newly presented. Validity of the model is verified analytically, and validity of the simulators is confirmed by numerical experiments.