Tooth-tip Leakage flux (TLF) has a major effect on the prediction of air-gap flux distribution and electromagnetic torque in the permanent magnet (PM) machines. Therefore, deriving a model for TLF is necessary for machine design and optimization. Accurate modeling of TLF can lead to fast and precise solutions, which ease the analysis of electromagnetic devices. It also provides the opportunity to increase torque density by more efficient utilization of PM's volume and prevent saturation in machine optimization. This paper presents a method for modeling and analyzing TLFs in a radial-flux dual-stator permanent magnet (DSPM) machine with diametrically magnetized cylindrical permanent magnets (DMCPM) in series and parallel magnetic circuit structures. In this model, some expressions in terms of machine dimensions are derived for the TLF analysis. Finite element method (FEM) is applied to validate the proposed model. Results indicate that the maximum error between the proposed model and FEM is insignificant (less than 6%). Finally, by a prototyped machine the validity of the proposed model was investigated with the experimental tests.Index Terms-Dual-stator permanent magnet (DSPM) machine, diametrically magnetized cylindrical permanent magnet (DMCPM), tooth-tip leakage fluxes (TLFs).
I. INTRODUCTIONUAL stator permanent magnet (DSPM) machines have recently attracted a lot of attention to wind power generation, electric vehicles, hybrid electric vehicles, and starter generators because of their advantages, such as high efficiency and high torque and power density [1]- [5]. From the structural point of view, DSPM machines are designed to provide more efficient utilization of the rotor's space in conventional PM machines, which increases torque density [1]. DSPM machines are a combination of two conventional single stator PM machines, one with outer rotor structure and the other with inner rotor structure [3]. As shown in Fig. 1, in series magnetic circuit (SMC) structure, stators have magnetic