MA Jonas Maier
Flachheit und modellprädiktive Regelung für permanenterregte Synchronmotoren
Abstract
This work deals with the design of a model predictive control (MPC) for permanent magnet synchronous machines (PSM) with salient poles. The electric torque of the PSM is to be stabilized along a reference while dissipating minimal copper losses. Besides an ideal model of the PSM, a model that considers effects of magnetic saturation is being considered. The model equations of both PSM are derived and transformed into a field-oriented reference frame. Starting from the ideal model, first, a flatness-based controller is presented in combination with an optimal reference planning (offline). Simulation results show that the controller is suitable for operating the ideal PSM but not the saturated one. Subsequently, a MPC based on the ideal PSM is designed. Special efforts are given to its numerically efficient formulation, for which on the one hand linear constraints of the underlying optimal control problem (OCP) are aimed at. In this context the model of the ideal PSM is linearized in order to exactly discretize it afterward. Secondly, the size of the OCP is reduced by a flatness-based parameterization. Within simulations, the approaches were successfully validated on the ideal PSM. However, the obtained results raise doubts whether the presented methods are suitable to appropriately discretize the model of the saturated PSM, for the purpose of a MPC.