Adaptive Modeling and Modular Control of Asymmetric Twelve-Phase (4×3) PMSG

Multiphase machines have emerged as a promising alternative to conventional three-phase systems in high-reliability and high-performance applications, including electric propulsion and renewable energy systems. This paper presents an advanced modeling approach for twelve-phase permanent magnet synchronous generators (PMSGs) that addresses the heavy cross-coupling limitations in conventional multi-star methods. The approach extends multi-three-phase PMSM modeling to a twelve-phase (4×3-phase) configuration with sinusoidal EMF, demonstrating effective DC voltage regulation in PWM rectifierfed DC networks. A key contribution is the seamless fault tolerance capability, where the system maintains stability under open-phase faults by dynamically reconfiguring the transformation matrix from twelve-phase to nine-phase (3×3-phase) operation through isolation of the defective winding module. The approach preserves modular control advantages using conventional three-phase converter structures while ensuring continuous operation under fault conditions, making it suitable for critical applications requiring high reliability.