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Topology optimization for three-dimensional design of segmented permanent magnet arrays.
- Source :
-
Structural & Multidisciplinary Optimization . 2020, Vol. 62 Issue 6, p3089-3104. 16p. - Publication Year :
- 2020
-
Abstract
- This paper proposes a topology optimization formulation for the three-dimensional (3-D) design of segmented permanent magnet (PM) arrays. Specifically, the proposed formulation aims to find an optimal 3-D structural topology of PM segments and their discrete magnetization directions. To achieve this, a design variable is defined in the vector form of a Cartesian coordinate system. The magnitude of the design variable vector determines a PM density, and the directional cosines of the vector determine PM magnetization directions. To acquire a segmented PM design with discrete magnetization directions, a PM strength penalization scheme is proposed. In this scheme, a PM strength is controlled using a minimum distance function between a magnetization direction and target discrete directions. Here, the minimum distance function is approximated using the p-norm for sensitivity calculation. To validate the effectiveness of the proposed formulation, three design examples are provided. In the first example, a two-dimensional (2-D) dipole Halbach cylinder is designed to confirm that the proposed formulation can be applied for a 2-D design problem. The second example aims to design 3-D dipole PM arrays with a cuboid cavity. In the third example, a 3-D PM arrays are designed for maximizing the magnetic force acting on a soft ferromagnetic material. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1615147X
- Volume :
- 62
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Structural & Multidisciplinary Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 147138404
- Full Text :
- https://doi.org/10.1007/s00158-020-02656-7