Finite Element Method Magnetics : FrozenTorqueSeparation

Frozen Permeability Torque Separation

For frozen permeability problems, the proper method of ascribing various portions of the torque to PM Torque, Reluctance Torque, and Cogging Torque is still something of an open problem (see [1] and [2] below). One possible way is to compute the flux linkage as the rotor spins for a constant set of currents and infer the torque from the DQ flux linkage, the change of flux linkage with respect to position, and the DQ currents. The Mathematica notebook below (with associated PDF printout) performs the torque separation in this way. The resulting torque separation for the motor and operating condition discussed in [2] is shown below in Figure 1.



Figure 1: Torque decomposition for the machine in [2] with I_a = 4A and β = -30 ̊

References

[1] W. Q. Chu and Z. Q. Zhu, "Average Torque Separation in Permanent Magnet Synchronous Machines Using Frozen Permeability," IEEE Transactions on Magnetics, 49(3):1202-1210, Mar. 2013.

[2] Z. Q. Zhu and W. Q. Chu, "Investigation on Torque in PM Machines," EUGM 2014, 04Jun2014.

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