Dot sensitivity analysis of ferromagnetic materials for topology optimization in an axi-symmetric magnetostatic system
ISSN: 0332-1649
Article publication date: 29 April 2019
Issue publication date: 3 June 2019
Abstract
Purpose
The purpose of this paper is to propose dot sensitivity analysis of ferromagnetic materials for topology optimization in an axi-symmetric magnetostatic system.
Design/methodology/approach
The dot sensitivity formula for the axi-symmetric system is derived as a closed form using the continuum shape sensitivity formula. The dot sensitivity method is combined with the level set method to perform topology optimization.
Findings
Derived dot sensitivity analysis can generate a ferromagnetic ring torus in a vacant region. Thus, an initial design is not needed for the design material. Two design problems are tested to demonstrate the usefulness of dot sensitivity.
Originality/value
By simultaneously using the shape sensitivity and dot sensitivity, in axi-symmetric magnetic system, the design space is expanded and it includes the interface and the inside of the vacant region. This property can reduce the possibility of local optimum convergence.
Keywords
Acknowledgements
This work was supported by the Korean Ministry of Environment (No. 2018000120010).
Citation
Hong, S., Lee, K.H. and Park, I.H. (2019), "Dot sensitivity analysis of ferromagnetic materials for topology optimization in an axi-symmetric magnetostatic system", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 38 No. 3, pp. 990-998. https://doi.org/10.1108/COMPEL-10-2018-0413
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited