Analytical Subdomain Modeling of an H-Type Switched Reluctance Machine with Circumferential Cross-Winding Considering Magnetic Saturation for Reluctance Torque and unbalanced magnetic force Prediction

Abstract Switched reluctance machines (SRMs) are valued for their rugged, magnet-free construction, yet their doubly salient geometry makes accurate electromagnetic modeling a persistent challenge, particularly under deep saturation, where linear analytical approaches lose fidelity. This work develops a twodimensional analytical subdomain model for an H-Type SRM equipped with a circumferential cross-winding arrangement, in which each slot accommodates a single circumferential coil wound around the H-bridge, forming a cross-magneto motive force (MMF) distribution that shapes the airgap field in a distinctive manner. The machine geometry is partitioned into rotor yoke, rotor teeth, airgap, stator slots, stator teeth, and stator yoke, with Maxwell's equations solved analytically in each region. To capture the nonlinear behavior of the iron core, an iterative two-component saturation correction is embedded into the model, applying local adjustments to both radial and tangential flux density components in the stator teeth, rotor teeth, and yoke based on the measured B–H characteristic of the lamination steel. From the corrected field solution, the electromagnetic torque and unbalanced magnetic force (UMF) are derived. Finite element simulations are used to validate the analytical predictions, and the results confirm the model's ability to reproduce the field distribution and integral quantities with good accuracy. The proposed framework offers a computationally efficient tool for the analysis of H-Type SRM topologies, with particular relevance to applications where UMF and electromagnetic torque must be predicted reliably, such as in-wheel traction drives and high-speed actuator systems.