Topology optimization of non-linear electromagnetic actuator based on Reluctance Network Analysis

• Published in: Journal of magnetism and magnetic materials 2024-07, Vol.602, p.172174, Article 172174
• Main Authors: Yin, Ming, Naidjate, Mohammed, Bracikowski, Nicolas, Pierquin, Antoine, Trichet, Didier
• Format: Article
• Language: English
• Subjects: Adjoint Variable Method; Electromagnetic actuator; Engineering Sciences; Reluctance Network Analysis; Topology optimization
• ISSN: 0304-8853; 1873-4766
• DOI: 10.1016/j.jmmm.2024.172174

Topology Optimization (TO) enables unrestricted exploration within a design domain and is typically based on a spatial discretization that is also used as the mesh for simulation. In this article, we propose to use for the simulation a mesh-based equivalent circuit method termed the Reluctance Network Analysis (RNA), with nonlinear magnetic properties of the material. The simulation tool is then used in a topology optimization process solved with generalized optimality criteria (GOC) method. During the optimization, the sensitivity matrix is needed, and we describe here how to derive the matrix in the case of a nonlinear RNA using Adjoint Variable Method (AVM). Finally, we implemented this topology optimization through a case study of an electromagnetic actuator. •Reinforcement of Established method: This study adopts the Reluctance Network Analysis to simulate the electromagnetic actuator, where the material saturation is considered.•Extension of the Adjoint Variable Method (AVM): we adapted the calculation of objective gradient using AVM in the case of nonlinear RNA.•Contribution to the field: This study presents a general framework of topology optimization. The RNA, as a non-FE-based method, is applied to topology optimization successfully.