For this reason a study that considers the influence of saturation needs to be carried out in order to evaluate the IPM motor’s design, so the study ends up carefully investigating variations in inductance characteristics due to current phase, geometry, or the material’s nonlinear magnetic properties. An analysis based on the magnetic circuit method or a theoretical equation that assumes linear properties cannot predict these functions with good accuracy and therefore cannot derive them. Consequently, in order to perform an advanced projection of an IPM motor’s design, an electromagnetic field simulation that uses the finite element method (FEM) is necessary.
This Application Note explains how to obtain the current phase angle characteristics of a dq axis inductance that accounts for magnetic saturation and flux leakage in an IPM motor.
Fig. 1 shows that the d-axis inductance is smaller because the magnetic flux penetrates through the low permeability magnet. It is less affected by magnetic saturation due to very large magnetic resistance. On the other hand, the q-axis inductance is larger than the d-axis inductance due to larger permeability, and it is also significantly affected by magnetic saturation because the magnetic resistance is much smaller.
Fig. 2 shows that the maximum torque for this IPM motor can be obtained when the current phase angle is around 20 deg.