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This paper presents an optimization method that deal with control techniques for electrical machines, in order to impose a displacement with a minimum of energy consumption. It’s a generic method; However, its application to electrical machines is complex for implementation. The present work provides the shape of the optimal solution. Moreover, a resolution technique related to the nature of the model is proposed, which facilitate the numerical resolution of costate problem. The method is applied to hybrid stepper motor and the obtained results are then analyzed.

This paper presents an optimization method that allows to find the electrical machine control, in order to impose a displacement with a minimum energy consumption. This is a generic method. However, its application to electrical machine is complicated to implement. In this paper, the optimal solution form is proposed for the studied case. Moreover, in order to facilitate the numeric resolution of the auxiliary problem, a technique related to the model nature is proposed. An example with a hybrid stepper motor is presented.

This paper presents a global optimization approach aiming to improve the energy efficiency of electrical machines. The process is made on a hybrid stepper motor allowing to simultaneously optimize design and command. This approach is axed around Pontryagin's maximum principle, which is applied to a magnetodynamic model based on permeances network model. The originality of the proposed approach is to obtain in the same process, the minimization of the energy by optimal control and the minimization of the energy by optimal sizing.

This paper deals with a methodology developed for fast and accurate dynamic modeling of Hybrid Stepper motors. The proposed method is based on reluctance network magnetostatic modelling validated by finite element simulations.