comarison_FE_CSM_BEM - IEEE Transactions on Electrical...

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IEEE Transactions on Electrical Insulation Vol. 26 No. 3, June 1991 529 Comparative Analysis of Methods for Computing 2-D and 3-D Electric Fields H. Steinbigler, D. Haller Technical University of Munich, Germany A. Wolf Siemens AG, Munich, Germany ABSTRACT On the basis of four HV examples, electrical field calculations were performed using different computational methods. Three examples represent axisymmetric arrangements, one example is three-dimensional. The computations were performed using a boundary element program from the University of Sarajevo, a program based on the charge simulation method, developed at the Technical University of Munich, and the commercial finite element program ANSYS. 1. INTRODUCTION this. The examples presented could serve as benchmark problems for the application of different field calculation HERE are well-established concepts available for the T calculation of corona inception and spark breakdown voltages in gaseous dielectrics [l-41. The basis for the ap- plication of these concepts is the knowledge of the elec- tric field strength. The remarkable progress of computer technology within the last two decades now opens many interesting possibilities for the numerical calculation of electric fields in HV insulation systems, even for 3-D ar- rangements with complicated boundaries. This numer- ical field calculation can be integrated into concepts of computer-aided design and used for the optimization of HV apparatus. methods. 2. FIELD CALCULATION METHODS OR the calculation of 2-D and 3-D electric fields in F HV engineering, different methods are applied. The most important are the finite difference method (FDM), the charge simulation method (CSM), the finite element method (FEM) and the boundary element method (BEM). The principal task in the computation of electrical fields is to solve the Poisson equation E (1) P V.V@=-- There is a number of computer programs available for these calculations, but the application of these programs discretization. Compromises between accuracy, comput- ing time and amount of memory must be found. It is the needs SOme experience, particularly for the proper way Of In case of space-charge-free fields the equation reduces to the Laplace equation intention of this paper to give some help with respect to U*U9=Q (2) 0018-9367/91/0600-529$1.00 @ 1991IEEE Authorized licensed use limited to: INDIAN INSTITUTE OF TECHNOLOGY KANPUR. Downloaded on August 15,2010 at 13:22:39 UTC from IEEE Xplore. Restrictions apply.
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530 Steinbigler et al.: Methods for Computing 2-0 and 3-D Electric Fields Whereas in the past 3-D problems could be solved only on mainframe computers, nowadays superminis and work- stations offer the computer power required. However, computing times and the amount of memory to achieve the accuracy required, still play a dominating role. More- over, an important aspect for the acceptance of a program is the ease with which it can be used to describe a prob- lem. Because of the wide use of FEM programs in a large range of applications and the strength of their pre- and
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comarison_FE_CSM_BEM - IEEE Transactions on Electrical...

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