Wedge functions applied to 2D magnetostatic problems

• Autorzy: Huijer E. , Karaki S.H.
• Języki publikacji: EN

Abstrakty

EN

In this paper the application of so called wedge functions is presented to solve two-dimensional simple geometries of magnetostatic and electrostatic problems, e.g. rectangles of varying aspect ratio and with different values of the magnetic permeability μ. Such problems require the use of surface charge density, or segment source, functions of the form ρs = σa-1, where the power parameters, a, have special fractional values. A methodology is presented to determine these special values of a and use them in segment sources on simple geometries, i.e. rectangles of varying aspect ratio, and with different values of the magnetic permeability μ. Wedge solutions are obtained by coupling the strength coefficients of source segments of the same power around an edge. These surface source functions have been used in the analysis of conducting and infinite permeability structures. Here we apply such functions in a boundary integral analysis method to problems having regions of finite permeability.

Słowa kluczowe

EN

finite permeability; wedge functions; segment functions; boundary integral method

PL

klin; przenikalność magnetyczna; metoda całkowo-brzegowa

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2011
• Tom: Vol. 60, nr 4
• Strony: 519--529
• Opis fizyczny: Bibliogr. 9 poz., rys., tab.

Twórcy

autor

Huijer E.

autor

Karaki S.H.

• American University of Beirut,

Bibliografia

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• [2] Bätchold M., Efficient 3D Computation of Electrostatic Fields and Forces in Microsystems, PhD Thesis No. 12165, Swiss Federal Institute of Technology, Zurich, pp. 20-39 (1997).
• [3] Hafner Ch., Ballisti R., The Multiple Multipole Method (MMP). The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 2(1): 1-7 (1983).
• [4] Ludwig A.C., The Generalized Multipole Technique. Computer Physics Communications 68: 306-314 (1991).
• [5] Olsen R.G., Lyon C.E., Modeling of extremely low frequency magnetic field sources using multipole techniques. IEEE Transactions on Power Delivery 11(3): 1563-1570 (1996).
• [6] Huijer E., Karaki S.H., Malkoun J., Line segment pole functions in the MMP method applied to shielded cables. IEEE Trans. Power Del. 21: 2082-2087 (2006).
• [7] Meixner J., The behavior of electromagnetic fields at edges. IEEE Transactions on Antennas and Propagation 20: 442-446 (1972).
• [8] Huijer E., Application of the boundary series method with edge function to magnetic structures of infinite permeability. SMM19 (Soft Magnetic Materials) Conference, Torino, Italy, 7 September (2009).
• [9] Huijer E., 2D Analysis of parallel conductors with polygon shape using special boundary segment functions. ASM (Applied Simulation and Modelling) 2009 Conference in Palma de Mallorca, Spain on 9 September (2009).