Algebraic weighting factor selection for predictive torque and flux control

The cost function of finite control set model predictive torque and flux control uses a weighting factor to determine the trade-off between the torque and flux magnitude tracking errors. The choice of this weighting factor strongly influences the current distortions. It will be shown that the optimal weight, which minimizes the current distortions, can be computed algebraically. Furthermore, using this weighting factor, the predictive torque and flux controller achieves a current distortion per switching frequency that is very similar to that of predictive current control. To achieve this similar performance, the corresponding weighting factors on the switching effort need to be selected appropriately. To this end, a second analytical expression will be derived.