Abstract
In general, the Magnetic Circuit (MC) is an effective and valuable tool for calculating the PM flux and predicting machine behavior during the no-load operation. Since the rotor PMs are the sole source of the flux, the flux path and the respective MC model is independent of the rotor position. However, this is not the case for the loaded operating condition. As the rotor spins, the path of the armature flux necessarily changes to pass through the rotor with minimum reluctance. Therefore, the MC model would vary at every rotor position and is no longer a feasible solution particularly, for cases with complex rotor structure. To resolve this, an analytical solution procedure based on the concept of the Magnetic Islands (MI) is presented to predict the on-load response of the motor such as armature flux and the winding inductance. The air-gap is defined as a function along the perimeter of the stator to include the stator slotting effect. In addition, the presented method accounts for the magnetic saturation. To assess the accuracy of the model, analytical results are compared against the finite element results.
Highlights
The performance characteristic of Permanent Magnet (PM) machines is closely related to the quality of the air-gap flux distribution
An analytical modeling technique was presented to model the steady-state performance of the slotted Interior Permanent Magnet (IPM) synchronous motor at loaded operating condition
The distribution of the armature magnetic flux density was modeled through the concept of the Magnetic Islands (MI)
Summary
The performance characteristic of Permanent Magnet (PM) machines is closely related to the quality of the air-gap flux distribution. To overcome the shortcomings associated with the MC, the loaded analysis of the motor is carried out via the concept of Magnetic Islands (MI) With this method, the relative position between the rotor and the stator is automatically accounted during the modeling process. The relative position between the rotor and the stator is automatically accounted during the modeling process For this purpose, the rotor is classified into a number of segments (islands) based on the magnetic potential of each segment. The air-gap armature flux and the winding inductance are obtained by calculating the respective magnetic potential of each segment at every positions of the rotor. FE analysis is performed to verify the validity of the analytical results
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