### 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 |

### Fingerprint

### 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

*International Journal of Applied Electromagnetics and Mechanics*,

*39*(1-4), 711-717. https://doi.org/10.3233/JAE-2012-1533

**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.

Research output: Contribution to journal › Article

*International Journal of Applied Electromagnetics and Mechanics*, vol. 39, no. 1-4, pp. 711-717. https://doi.org/10.3233/JAE-2012-1533

}

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

AN - SCOPUS:84867093038

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 -