AN ADVANCED BOUNDARY INTEGRAL EQUATION METHOD FOR TWO-DIMENSIONAL ELECTROMAGNETIC FIELD PROBLEMS*
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in Electric Machines & Power Systems
- Vol. 1 (4) , 301-313
- https://doi.org/10.1080/03616967708960039
Abstract
The features of an advanced numerical solution capability for two-dimensional electromagnetic field problems governed by Laplace's Equation or, under certain conditions, by Poisson's Equation are outlined. Specifically, the relevant Boundary Integral Equation (BIE) formulation is presented, and a process for numerical solution is given based on assumed piecewise-quadratic variation of the boundary functions over boundary segments which, in turn, are assumed to be piecewise-quadratic curves between nodes. This numerical process based on quadratic assumptions is contrasted with the piecewise-constant or piecewise-linear assumptions which appear more commonly in the literature. A problem involving the forces on the windings in the “window” of a simple core-type transformer is solved for illustrationKeywords
This publication has 3 references indexed in Scilit:
- Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic ProblemsIMA Journal of Applied Mathematics, 1975
- On the Numerical Solution of Fredholm Integral Equations of the First KindIMA Journal of Applied Mathematics, 1975
- Numerical techniques for two-dimensional laplacian problemsComputer Methods in Applied Mechanics and Engineering, 1975