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Fig.l (a) Struclure of the AFBPMM under study; (b) 3-D FE-modcl for one magnclic pole: (c) 3-D model rcduccd to 2-D reprcscntativc piane
be determined accurately.
Fig.2 displays the flux density distribution in the AFBPMM under study. The AFBPMM was simulated under no-load condition to monitor the airgap flux pattem. Fig.4 shows the axial component of the no-load air-gap flux density due to rotor-PMs in the middle of the airgap piane.
Fig.2 Flux-dcnsity distribution in the airgap of the AFBPMM under study.
Fig.3 Freąuency spectrum of the flux-density liannonics of the AFBPMM under study.
An extended modelling method is based on Fourier-series development. This techniąue considers the time-space distribution of electromagnetic variables so that it enables to identify the cross-coupling between different spatial and temporal field components. Therefore, it provides a very interesting insight into the correlation between different design variables and machinę performances.
The shape of the spatial waveform is deftned by solving in polar coordinates the magnetic potential equations in the air-gap. The freąuency spectrum of flux density is presented in Fig.3. It shows that the main harmonie in the flux-density spectrum is the first-order harmonie and then the third harmonie. Fifth- and seventh-order airgap flux-density harmonics are also significant.
In axial-flux permanent magnet machines, there is an axial non-compensated force between rotor magnets and stator teeth. Fig.4 depicts schematically this axial force, while Fig.5 stands out the rotor-PM distribution. There are two rotor-PMs for each magnetic pole, having different positions with respect to the stator teeth. The axial force fluctuations correspond to the angular recurrence of these relative pole-teeth positions.
Fig.4 Schematic representation of axial forces in the AFBPMM under study.
Fig.5 One of the two stators and the rotor with its PM arrangentent.
Fig.6 Magnetic potential distribution in the stator corc.
POJAZDY SZYNOWE NR 3/2011
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