Analytical Investigation of Magnetic Scalar Potentials Oscillation in Spoke PM Flux Modulation Machines

Lutf Ur Rahman, Abdur Rehman and Byungtaek Kim ()
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Lutf Ur Rahman: Electrical Engineering Department, Kunsan National University, Gunsan-si 573-701, Republic of Korea
Abdur Rehman: Electrical Engineering Department, Kunsan National University, Gunsan-si 573-701, Republic of Korea
Byungtaek Kim: Electrical Engineering Department, Kunsan National University, Gunsan-si 573-701, Republic of Korea

Energies, 2023, vol. 16, issue 9, 1-18

Abstract: In this paper, the oscillation phenomena of the scalar magnetic potential of iron pieces of spoke permanent magnet (PM) machines are analyzed and the effects of the oscillation on the air gap flux and back electro-motive force (EMF) are deeply investigated, especially for flux modulation machines such as vernier and flux switching PM (FSPM) machines. To these ends, the formula of the scalar magnetic potential is derived for a generalized spoke PM structure. It reveals that the oscillation phenomena depend on the slot/pole combination, consequently resulting in different behavior according to the machine types such as vernier and FSPM machines. Next, each core’s potential given as a discrete function is developed into a continuous function of an air gap magneto-motive force (MMF) rotating and oscillating through Fourier series expansion. Making use of the developed MMF and the specific permeance of air gap, the equations of air gap flux density and back EMF are derived, which enable accurately estimating the suppression of the modulation flux and the back EMF due to the potential oscillation for different types of spoke PM machines. For validation, various magnetic characteristics are quantitatively examined for different type of spoke PM structures, including PM vernier and FSPM machines, and verified by comparing with FEM simulation results.

Keywords: magneto-motive force; modulation flux; scalar magnetic potential; potential oscillation; spoke PM machines (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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