Mathematical Models for the Design of Electrical Machines

• Other Authors: Dubas, Frédéric (Editor), Boughrara, Kamel (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: History of engineering & technology; surface-mounted PM machines; torque pulsation; magnet shape optimization; analytical expression; 2D; electromagnetic performances; finite iron relative permeability; numerical; sinusoidal current excitation; subdomain technique; switched reluctance machine; scattering matrix; Fourier analysis; permanent magnet machines; analytical modeling; analytical model; high-speed; sleeve; non-homogeneous permeability; permanent-magnet; partial differential equations; separation of variable technique; electrical machines; surface inset permanent magnet; electric machines; permanent magnet motor; rotating machines; hybrid excitation; magnetic equivalent circuits; 3D finite element method; eddy-current losses; experiment; hybrid model; magnetic equivalent circuit; Maxwell-Fourier method; analytical method; eddy-current; finite-element analysis; loss reduction; permanent-magnet losses; thermal analysis; linear induction motors; complex harmonic modeling; hybrid analytical modeling; 2D steady-state models; multiphase induction machine; reduced order; rotor cage; torque pulsations; multi-phase; segmentation; synchronous machines; thermal equivalence circuit; Voronoï tessellation; winding heads; nodal method; thermal resistances; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

This book is a comprehensive set of articles reflecting the latest advances and developments in mathematical modeling and the design of electrical machines for different applications. The main models discussed are based on the: i) Maxwell-Fourier method (i.e., the formal resolution of Maxwell's equations by using the separation of variables method and the Fourier's series in 2-D or 3-D with a quasi-Cartesian or polar coordinate system); ii) electrical, thermal and magnetic equivalent circuit; iii) hybrid model. In these different papers, the numerical method and the experimental tests have been used as comparisons or validations.