Abstract
ABSTRACT In calculating potential field for a system consisting of several conductors by means of the boundary ( orsurface) charge method (BCM or SCM), every conductor surface is divided into n small surface elements, and the surface ( or boundary) charge density on each surface element is obtained by solving a set of ndimensional simultaneous linear equations, where the coefficient matrix element is expressed as a doubleintegral. In the 3D BCM, the coefficient matrix element is usually obtained by direct double numericalintegration, which is a serious obstacle to a practical use ofthe method because ofextremely long computationtime. We have been developing an improved 3D BCM, where any given conductor geometry can faithfullybe modeled by a suitable combination of parts and/or all of several basic surfaces such as plane surface,cylindrical surface, conical surface, discoidal surface, spherical . surface and torus surface. We have foundthat the first integration in the double integral of the coefficient matrix element can be done analytically forthe above-mentioned basic surfaces, thereby greatly improving the computation time without any loss ofaccuracy.keywords: boundary chargemethod, surface charge method, 3-D field computation, numerical integration,computation time, potential coefficient, charge density
Published Version
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