Abstract
Topology optimization (TO) is an effective method for producing practical design of electrical machines. TO is conventionally implemented based on the material density; however, this approach can yield a large number of grayscale areas and unfeasible shapes. On the other hand, when the level-set function is applied to the TO of the magnetic field problem, the potential for obtaining a feasible solution improves. This paper implemented a TO method that uses the regularized level-set function to solve the 3-D nonlinear magnetic field problem. Furthermore, a spatial symmetry condition (SSC), which can introduce the mirror and periodic symmetry of the level-set function from the viewpoint of the electromagnetism, is proposed. To achieve symmetry in the electromagnetic field distribution, the validity of the SSC is investigated and confirmed in a 3-D magnetic shielding problem.
| Original language | English |
|---|---|
| Article number | 7402204 |
| Journal | IEEE Transactions on Magnetics |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2016 Mar 1 |
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Keywords
- Level set function
- regularization
- spatial symmetry condition
- topology optimization
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
Cite this
Topology Optimization Based on Regularized Level-Set Function for Solving 3-D Nonlinear Magnetic Field System with Spatial Symmetric Condition. / Okamoto, Yoshifumi; Wakao, Shinji; Sato, Shuji.
In: IEEE Transactions on Magnetics, Vol. 52, No. 3, 7402204, 01.03.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Topology Optimization Based on Regularized Level-Set Function for Solving 3-D Nonlinear Magnetic Field System with Spatial Symmetric Condition
AU - Okamoto, Yoshifumi
AU - Wakao, Shinji
AU - Sato, Shuji
PY - 2016/3/1
Y1 - 2016/3/1
N2 - Topology optimization (TO) is an effective method for producing practical design of electrical machines. TO is conventionally implemented based on the material density; however, this approach can yield a large number of grayscale areas and unfeasible shapes. On the other hand, when the level-set function is applied to the TO of the magnetic field problem, the potential for obtaining a feasible solution improves. This paper implemented a TO method that uses the regularized level-set function to solve the 3-D nonlinear magnetic field problem. Furthermore, a spatial symmetry condition (SSC), which can introduce the mirror and periodic symmetry of the level-set function from the viewpoint of the electromagnetism, is proposed. To achieve symmetry in the electromagnetic field distribution, the validity of the SSC is investigated and confirmed in a 3-D magnetic shielding problem.
AB - Topology optimization (TO) is an effective method for producing practical design of electrical machines. TO is conventionally implemented based on the material density; however, this approach can yield a large number of grayscale areas and unfeasible shapes. On the other hand, when the level-set function is applied to the TO of the magnetic field problem, the potential for obtaining a feasible solution improves. This paper implemented a TO method that uses the regularized level-set function to solve the 3-D nonlinear magnetic field problem. Furthermore, a spatial symmetry condition (SSC), which can introduce the mirror and periodic symmetry of the level-set function from the viewpoint of the electromagnetism, is proposed. To achieve symmetry in the electromagnetic field distribution, the validity of the SSC is investigated and confirmed in a 3-D magnetic shielding problem.
KW - Level set function
KW - regularization
KW - spatial symmetry condition
KW - topology optimization
UR - http://www.scopus.com/inward/record.url?scp=84962190474&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84962190474&partnerID=8YFLogxK
U2 - 10.1109/TMAG.2015.2492978
DO - 10.1109/TMAG.2015.2492978
M3 - Article
AN - SCOPUS:84962190474
VL - 52
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
SN - 0018-9464
IS - 3
M1 - 7402204
ER -