Optimal control of electrical machines using Pontryagin’s maximum principle

Issue title: Selected papers from the International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering – ISEF 2019

Guest editors: Paolo Di Barba, Maria Evelina Mognaschi and Sławomir Wiak

Article type: Research Article

Authors: Bekir, Wissem^{a; b;} | Amraoui, Lilia EL^a | Gillon, Frédéric^b

Affiliations: [a] Research Laboratory Smart Electricity & ICT, SEICT, LR18ES44, National Engineering School of Carthage, Université de Carthage, Tunis, Tunisia | [b] University of Lille, Arts et Metiers ParisTech, Centrale Lille, HEI, Lille, France

Correspondence: [*] Corresponding author: Wissem Bekir, Research Laboratory Smart Electricity & ICT, SEICT, LR18ES44, National Engineering School of Carthage, Université de Carthage, Tunis, Tunisia; and University of Lille, Arts et Metiers ParisTech, Centrale Lille, HEI, EA 2697, L2EP, F-59000 Lille, France. E-mail: [email protected]

Abstract: 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.

Keywords: Efficiency, optimal control, dynamic programming, Pontryagin’s maximum principle, hybrid stepper motor

DOI: 10.3233/JAE-209522

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 64, no. S1, pp. S253-S267, 2020