Analytical Armature Reaction Field Prediction in Field-Excited Flux-Switching Machines Using an Exact Relative Permeance Function

Magnetic Flux Distribution of Linear Machines with Novel Three-Dimensional Hybrid Magnet Arrays

“…There are 10 unknown coefficients in the analytical model of flux density, i.e., , , , , , , , and . As shown in Figure 4 , based on the continuity of flux density and Ampere circuital theorem, the perpendicular component of flux density is continuous in two adjacent media and the tangential component of field intensity is continuous at the boundary of two media when the surface current is zero [ 27 , 28 ]. Ten boundary conditions are employed to determine all the unknowns, i.e., where …”

Magnetic Field Solution in Doubly Slotted Airgap of Conventional and Alternate Field-Excited Switched-Flux Topologies

“…Fourier series coefficients and can be determined from (26) and (28) as follows: (35) and (36) with and defined, respectively, by (37) and (38), shown at the bottom of the next page.…”

“…Others works derive a modulating function assuming idealized flux lines under the slot [32]- [35]. Also proposed was an exact permeance function accounting for all the slot dimensions in [36]. Another approach is named subdomain model.…”

General Subdomain Model for Predicting Magnetic Field in Internal and External Rotor Multiphase Flux-Switching Machines Topologies

“…Despite their proven accuracy, FE simulations suffer from severe computational time requirements and offer limited ability to explore numerous designs. To overcome this problem, some authors proposed models of PM-FSM, HE-FSM and FE-FSM topologies in a more analytical manner, using Magnetic Equivalent Circuit (MEC) [10]- [11] or Fourier analysis methods based on subdomain model [12] or slot relative permeance calculation [13]- [14]. The subdomain model is more accurate than MEC and relative permeance calculation based model [10].…”

“…The subdomain model is more accurate than MEC and relative permeance calculation based model [10]. Of course, only radial flux density in the doubly salient air gap is calculated with the proposed method and the magnetic interaction between the slots is not taken into account [13]- [14], which is a problem for the tangential force computation by the Maxwell stress tensor method and cannot handle with PM-FSM and HE-FSM topologies. To authors' knowledge, only Gysen et al in [12] have proposed an exact analytical subdomain model for the prediction of magnetic field (radial and tangential components) in a 12/10 PM-FSM.…”