Permeance computation using the boundary integral equation method

Contents The boundary integral equation method is applied to permeance computation. Results obtained cover typical practical cases: permeance between parallel ferromagnetic prisms and permeance between parallel ferromagnetic prism and cylinder. The approach proposed and the results obtained can be used in the design of electromagnetic systems.

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Die Berechnung magnetischer Leitwerte mit der Methode der Randintegralgleichungen

Übersicht Die Methode der Randintegralgleichungen wird auf die Berechnung von magnetischen Leitwerten angewendet. Die Ergebnisse für zwei typische Problemstellungen, die Berechnung des magnetischen Leitwertes zwischen parallelen ferromagnetischen Prismen bzw. zwischen parallelen Prisma und Zylinder, werden präsentiert. Das vorgeschlagene Verfahren und die erhaltenen Resultate können für die Entwicklung elektromagnetischer Systeme verwendet werden.

     

Permeance computation using indirect boundary integral equation method

An approach using indirect boundary integral equation method is proposed to determine the permeance between ferromagnetic poles in axisymmetric and three-dimensional magnetic systems. A generalised mathematical model is given for both types of magnetic systems. It consists of Fredholm integral equations of the first kind with respect to fictitious magnetic charge density sought in the form of simple layer potential. The system of boundary integral equations is solved using the method of mechanical quadratures. The approach is implemented in its own computer code. Results are presented for axisymmetric poles of electromagnets (cylinders, cones and frustum cones) and for a three-dimensional clapper-type system. Comparisons with known formulas are made and their accuracies are estimated. The approach presented is useful at the stage of preliminary design of magnetic systems. It is also applicable to computation of capacitances and electrical conductances