I. Introduction
Conventionally, flux-weakening control methods for permanent-magnet (PM) machines refer to either negative -axis current injection or advancing conduction angle [1], [2], corresponding to brushless ac and dc drives, respectively. However, they generally suffer from the inverter power-rating limitation and electronically sophisticated vector control. Recently, variable-flux PM (VFPM) machines [3]–[5] are of growing research interests. They can achieve the effective speed range extension and flux-weakening capability improvement without scarifying high efficiency. Herein, hybrid-excited (HE) machines [6]–[15], structurally derived from a combination of PM and wound field machines, were extensively investigated. They were widely recognized as a competent candidate for automotive electrification, wind power harvesting, and aerospace applications [6], [7], [13]–[15]. Nevertheless, the continuous field winding inevitably yields undesirable excited copper loss, degrading their overall efficiency. Meanwhile, a large volume of field windings is required in order to realize the flux regulation. In that case, the irreversible demagnetization risk and the torque density compromise may be caused.