### Abstract

It is difficult to analyze magnetostatic field problems with multiply connected domains by the direct boundary element method (BEM). On the other hand, there are two methods which can solve magnetostatic field problems with multiply connected domains in double layer charge (DLC) formulation. One uses imaginary loop current to calculate exciting scalar potentials and the other uses the direct BEM to calculate exciting scalar potentials. Thus, in this study, we expand the application scope of the above methods to the direct BEM. The direct BEM is widely used with other analysis methods such as the finite element method (FEM). In that respect, it is also effective to be able to analyze magnetostatic field problems with multiply connected domains by the direct BEM. In addition, results comparing the two methods to analyze multiply connected problems in both the DLC formulation and the direct BEM have not been reported. Therefore, we compare those and systematically clarify their characteristics by calculating a toroidal core model.

Original language | English |
---|---|

Pages (from-to) | 132-137 |

Number of pages | 6 |

Journal | IEEJ Transactions on Power and Energy |

Volume | 137 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2017 |

### Fingerprint

### Keywords

- Boundary element method
- Boundary integral equation
- Double layer method
- Magnetostatic field
- Multiply connected domain

### ASJC Scopus subject areas

- Energy Engineering and Power Technology
- Electrical and Electronic Engineering

### Cite this

*IEEJ Transactions on Power and Energy*,

*137*(2), 132-137. https://doi.org/10.1541/ieejpes.137.132

**A study on multiply connected domain processing methods in magnetostatic field analysis by boundary integral equations.** / Ryu, Kengo; Wakao, Shinji; Takahashi, Yasuhito; Ishibashi, Kazuhisa; Fujiwara, Koji.

Research output: Contribution to journal › Article

*IEEJ Transactions on Power and Energy*, vol. 137, no. 2, pp. 132-137. https://doi.org/10.1541/ieejpes.137.132

}

TY - JOUR

T1 - A study on multiply connected domain processing methods in magnetostatic field analysis by boundary integral equations

AU - Ryu, Kengo

AU - Wakao, Shinji

AU - Takahashi, Yasuhito

AU - Ishibashi, Kazuhisa

AU - Fujiwara, Koji

PY - 2017

Y1 - 2017

N2 - It is difficult to analyze magnetostatic field problems with multiply connected domains by the direct boundary element method (BEM). On the other hand, there are two methods which can solve magnetostatic field problems with multiply connected domains in double layer charge (DLC) formulation. One uses imaginary loop current to calculate exciting scalar potentials and the other uses the direct BEM to calculate exciting scalar potentials. Thus, in this study, we expand the application scope of the above methods to the direct BEM. The direct BEM is widely used with other analysis methods such as the finite element method (FEM). In that respect, it is also effective to be able to analyze magnetostatic field problems with multiply connected domains by the direct BEM. In addition, results comparing the two methods to analyze multiply connected problems in both the DLC formulation and the direct BEM have not been reported. Therefore, we compare those and systematically clarify their characteristics by calculating a toroidal core model.

AB - It is difficult to analyze magnetostatic field problems with multiply connected domains by the direct boundary element method (BEM). On the other hand, there are two methods which can solve magnetostatic field problems with multiply connected domains in double layer charge (DLC) formulation. One uses imaginary loop current to calculate exciting scalar potentials and the other uses the direct BEM to calculate exciting scalar potentials. Thus, in this study, we expand the application scope of the above methods to the direct BEM. The direct BEM is widely used with other analysis methods such as the finite element method (FEM). In that respect, it is also effective to be able to analyze magnetostatic field problems with multiply connected domains by the direct BEM. In addition, results comparing the two methods to analyze multiply connected problems in both the DLC formulation and the direct BEM have not been reported. Therefore, we compare those and systematically clarify their characteristics by calculating a toroidal core model.

KW - Boundary element method

KW - Boundary integral equation

KW - Double layer method

KW - Magnetostatic field

KW - Multiply connected domain

UR - http://www.scopus.com/inward/record.url?scp=85012207914&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85012207914&partnerID=8YFLogxK

U2 - 10.1541/ieejpes.137.132

DO - 10.1541/ieejpes.137.132

M3 - Article

AN - SCOPUS:85012207914

VL - 137

SP - 132

EP - 137

JO - IEEJ Transactions on Power and Energy

JF - IEEJ Transactions on Power and Energy

SN - 0385-4213

IS - 2

ER -