High-voltage field computation using bi-cubic surface splines

Vetter, C. P.; Singer, H.

doi:10.1049/cp:19990600

Cited by 3 publications

(2 citation statements)

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“…In the BEM the surface is discretised by a number of elements, called patches. In our case cubic spline functions are chosen to model the surface (Vetter and Singer, 1999). The spline function is derived from a meshed set of contour points in the three-dimensional space, which represent the designed geometry.…”

Section: Geometric Model and Boundary Conditionsmentioning

confidence: 99%

“…Earlier work has shown solutions for two-dimensional problems (Singer et al, 1974) and three-dimensional constructions with geometric standard bodies (Gutfleisch, 1989;Singer et al, 1994). While some standard high-voltage configurations can be solved by those methods using cylindrical, toroidal, spherical and other bodies, complex geometries require the use of bi-cubic spline functions to mathematically represent the geometries (Vetter and Singer, 1999). Applying appropriate electrical boundary conditions, the potential and field integral equations have to be solved.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Gaussian quadrature over surface splines in high‐voltage field computation

Vetter

Singer²

2000

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Integral equation methods are very often used for high-voltage field computation. This paper describes an adaptive Gaussian quadrature method for solving potential and field related integrals. Based on computer-aided design, the high-voltage configuration is modelled using bi-cubic spline functions for the description of the boundary surfaces. This problem definition requires a numerical solution of the governing integral equations. Standard Gauss-Legendre quadrature is improved by an adaptive approach. The describing surfaces are subdivided under distance-dependant aspects. Hence, different rules of Gaussian quadrature are examined and compared to analytically obtained results. The solution is used to compute the potential and field strength on the electrode or insulator contour. The accuracy and the speed-up of the new method is demonstrated by several calculations.

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Section: Geometric Model and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%