Abstract
The volume integral equation approach replaces magnetic materials with the magnetization in magnetostatic analysis. The concept of magnetic shell relates the magnetization with loop currents. The loop current is equivalent to the magnetic double layer, which gives an integral form of the scalar potential. The nonlinear magnetic field is formulated by regarding the nonlinear magnetization as volume magnetic charges. This paper presents how to utilize the volume charge to solve nonlinear problems. In the case of constant volume element we replace the volume charges with the surface loop currents to derive the nonlinear boundary integral equations having the line and surface loop currents as unknowns. The boundary integral equation is solved iteratively while improving alternately the loop and surface currents.
| Original language | English |
|---|---|
| Pages (from-to) | 711-717 |
| Number of pages | 7 |
| Journal | International Journal of Applied Electromagnetics and Mechanics |
| Volume | 39 |
| Issue number | 1-4 |
| DOIs | |
| Publication status | Published - 2012 |
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Keywords
- Boundary integral equation
- loop currents
- magnetic charges
- magnetic double layer
- nonlinear magnetostatic analysis
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
Cite this
Magnetostatic analysis by BEM with magnetic double layer as unknown utilizing volume magnetic charge. / Ishibashi, Kazuhisa; Andjelic, Zoran; Takahashi, Yasuhito; Takamatsu, Tomoaki; Tsuzaki, Kenta; Wakao, Shinji; Fujiwara, Koji; Ishihara, Yoshiyuki.
In: International Journal of Applied Electromagnetics and Mechanics, Vol. 39, No. 1-4, 2012, p. 711-717.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Magnetostatic analysis by BEM with magnetic double layer as unknown utilizing volume magnetic charge
AU - Ishibashi, Kazuhisa
AU - Andjelic, Zoran
AU - Takahashi, Yasuhito
AU - Takamatsu, Tomoaki
AU - Tsuzaki, Kenta
AU - Wakao, Shinji
AU - Fujiwara, Koji
AU - Ishihara, Yoshiyuki
PY - 2012
Y1 - 2012
N2 - The volume integral equation approach replaces magnetic materials with the magnetization in magnetostatic analysis. The concept of magnetic shell relates the magnetization with loop currents. The loop current is equivalent to the magnetic double layer, which gives an integral form of the scalar potential. The nonlinear magnetic field is formulated by regarding the nonlinear magnetization as volume magnetic charges. This paper presents how to utilize the volume charge to solve nonlinear problems. In the case of constant volume element we replace the volume charges with the surface loop currents to derive the nonlinear boundary integral equations having the line and surface loop currents as unknowns. The boundary integral equation is solved iteratively while improving alternately the loop and surface currents.
AB - The volume integral equation approach replaces magnetic materials with the magnetization in magnetostatic analysis. The concept of magnetic shell relates the magnetization with loop currents. The loop current is equivalent to the magnetic double layer, which gives an integral form of the scalar potential. The nonlinear magnetic field is formulated by regarding the nonlinear magnetization as volume magnetic charges. This paper presents how to utilize the volume charge to solve nonlinear problems. In the case of constant volume element we replace the volume charges with the surface loop currents to derive the nonlinear boundary integral equations having the line and surface loop currents as unknowns. The boundary integral equation is solved iteratively while improving alternately the loop and surface currents.
KW - Boundary integral equation
KW - loop currents
KW - magnetic charges
KW - magnetic double layer
KW - nonlinear magnetostatic analysis
UR - http://www.scopus.com/inward/record.url?scp=84867093038&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84867093038&partnerID=8YFLogxK
U2 - 10.3233/JAE-2012-1533
DO - 10.3233/JAE-2012-1533
M3 - Article
VL - 39
SP - 711
EP - 717
JO - International Journal of Applied Electromagnetics and Mechanics
JF - International Journal of Applied Electromagnetics and Mechanics
SN - 1383-5416
IS - 1-4
ER -