Abstract
Adopting the integral representation of scalar potential due to double layer charge, we derive a boundary integral equation with one unknown to solve magnetostatic problems. The double layer charge produces a potential gap at the air-material boundary without disturbing the continuity of normal magnetic flux density and the potential gap makes the tangential component of magnetic field continuous; accordingly, the boundary conditions are fully fulfilled even with one unknown. The boundary integral equation is capable of solving the double layer charge at edges and corners. Once the double layer charge is solved, it gives directly the magnetic flux density by Biot-Savart law. In this paper, we investigate how to evaluate the magnetic flux density at the vertex.
| Original language | English |
|---|---|
| Article number | 6136646 |
| Pages (from-to) | 459-462 |
| Number of pages | 4 |
| Journal | IEEE Transactions on Magnetics |
| Volume | 48 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2012 Feb |
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Keywords
- Boundary integral equation
- double layer charge
- magnetostatic analysis
- scalar potential
- singular point
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
Cite this
Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge. / Ishibashi, K.; Andjelic, Z.; Takahashi, Y.; Takamatsu, T.; Fukuzumi, T.; Wakao, Shinji; Fujiwara, K.; Ishihara, Y.
In: IEEE Transactions on Magnetics, Vol. 48, No. 2, 6136646, 02.2012, p. 459-462.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge
AU - Ishibashi, K.
AU - Andjelic, Z.
AU - Takahashi, Y.
AU - Takamatsu, T.
AU - Fukuzumi, T.
AU - Wakao, Shinji
AU - Fujiwara, K.
AU - Ishihara, Y.
PY - 2012/2
Y1 - 2012/2
N2 - Adopting the integral representation of scalar potential due to double layer charge, we derive a boundary integral equation with one unknown to solve magnetostatic problems. The double layer charge produces a potential gap at the air-material boundary without disturbing the continuity of normal magnetic flux density and the potential gap makes the tangential component of magnetic field continuous; accordingly, the boundary conditions are fully fulfilled even with one unknown. The boundary integral equation is capable of solving the double layer charge at edges and corners. Once the double layer charge is solved, it gives directly the magnetic flux density by Biot-Savart law. In this paper, we investigate how to evaluate the magnetic flux density at the vertex.
AB - Adopting the integral representation of scalar potential due to double layer charge, we derive a boundary integral equation with one unknown to solve magnetostatic problems. The double layer charge produces a potential gap at the air-material boundary without disturbing the continuity of normal magnetic flux density and the potential gap makes the tangential component of magnetic field continuous; accordingly, the boundary conditions are fully fulfilled even with one unknown. The boundary integral equation is capable of solving the double layer charge at edges and corners. Once the double layer charge is solved, it gives directly the magnetic flux density by Biot-Savart law. In this paper, we investigate how to evaluate the magnetic flux density at the vertex.
KW - Boundary integral equation
KW - double layer charge
KW - magnetostatic analysis
KW - scalar potential
KW - singular point
UR - http://www.scopus.com/inward/record.url?scp=84856388027&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84856388027&partnerID=8YFLogxK
U2 - 10.1109/TMAG.2011.2174777
DO - 10.1109/TMAG.2011.2174777
M3 - Article
AN - SCOPUS:84856388027
VL - 48
SP - 459
EP - 462
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
SN - 0018-9464
IS - 2
M1 - 6136646
ER -