Convergence Acceleration of Topology Optimization Based on Constrained Level Set Function Using Method of Moving Asymptotes in 3-D Nonlinear Magnetic Field System

Topology optimization (TO) has advantages over shape optimization; for example, the design space is wider and the degrees of the shape freedom is larger. The convergence characteristic in the conventional level set (LS) method is slow because of the limitation of the time step size that is used for...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2017-06, Vol.53 (6), p.1-4
Main Authors: Okamoto, Yoshifumi, Masuda, Hiroshi, Kanda, Yutaro, Hoshino, Reona, Wakao, Shinji
Format: Article
Language:English
Subjects:
Acceleration
Asymptotes
Constraints
Convergence
Design engineering
Design optimization
Finite element analysis
Finite element method
Heaviside function
level set (LS) function
Magnetic domains
Magnetic flux
Magnetic noise
Magnetic shielding
Magnetism
Mathematical analysis
method of moving asymptotes (MMA)
nonlinear magnetic field
Nonlinearity
Optimization
Shape optimization
Topology
Topology optimization
topology optimization (TO)
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Summary:Topology optimization (TO) has advantages over shape optimization; for example, the design space is wider and the degrees of the shape freedom is larger. The convergence characteristic in the conventional level set (LS) method is slow because of the limitation of the time step size that is used for solving the simplified Hamilton-Jacobi equation, which is normally defined as the width of one finite element in the design domain. To overcome this difficulty, convergence acceleration using the method of moving asymptotes is investigated. The performance of the proposed method is compared with the conventional LS method for a 3-D TO problem regarding the magnetic shielding and an interior permanent magnet motor in a 3-D nonlinear magnetostatic field.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2017.2669198