A flux-based PMSM motor model using RBF interpolation for time-stepping simulations

Comprehensive cost optimization study of high-efficiency brushless synchronous machines

“…Afterwards a nonlinear motor model can be derived from the results of the FE-calculations. The applied procedure will be presented in [9]. Finally, according to Eq.…”

“…All the current vectors together are, again, used to establish a nonlinear motor model according to [9]. Then, the most efficient way to achieve the required torque T rate is calculated by determining the corresponding current vector.…”

Comparison of different motor-generator sets for long term storage flywheels

“…Further, i sd and i sq are the referring stator current components, Ψ PM stands for the permanent magnetic flux and p z represents the number of rotor pole pairs. However, when iron losses and saturation are considered (as we do), the problem becomes more complex since the inductance becomes dependent on the stator current and, hence, is solved by the help of a flux based model [18]. As second part of the optimization procedure, the geometry parameters are changed and optimized by the help of an evolutionary algorithm in an outer loop.…”

A High-Fidelity and Computationally Efficient Model for Interior Permanent-Magnet Machines Considering the Magnetic Saturation, Spatial Harmonics, and Iron Loss Effect

“…However, it was necessary to compute the derivatives of the flux linkages with voltage inputs, resulting in the algebraic loop and numerical instability, particularly in a drive simulation system with switching devices. To avoid the derivative computation, the d-and q-axis current variations with d-and q-axis flux linkages and the rotor position were obtained by performing the inverse of the flux linkages as functions of currents and rotor position computed from FEA in [17][18][19]. However, the cross-coupling saturation effect was not included in [17], the order of the spatial harmonics considered in flux linkages was limited to 3 in [18], and the resultant torque was not validated in [19].…”

“…To avoid the derivative computation, the d-and q-axis current variations with d-and q-axis flux linkages and the rotor position were obtained by performing the inverse of the flux linkages as functions of currents and rotor position computed from FEA in [17][18][19]. However, the cross-coupling saturation effect was not included in [17], the order of the spatial harmonics considered in flux linkages was limited to 3 in [18], and the resultant torque was not validated in [19]. Moreover, the iron loss effect on the machine electromagnetic behavior has not been considered in these models [13][14][15][16][17][18][19], thereby compromising the model fidelity, particularly in the field weakening region where the iron loss is significant and the voltage is limited.…”