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In this paper, different shapes of the boundary surfaces within the power transformers are reviewed. The surface charge distribution function on the two surface elements, which have the majority of usage, are recognized and the resultant potential and electric field intensity equations are derived. A numerical interpolation idea is presented and extended to evaluate the values of the existing integrals within the equations. Fulfilment of this idea removes the problems due to the singularity of the integrands and it leads to a shorter computation time for the boundary element method. This idea is applied to a typical problem and results are compared with the corresponding values obtained using the numerical integration. Finally, the electric field within the interior space of a power transformer is estimated using the developed computer program based on the boundary element method.

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