Optimal Design of Electrode Shapes by means of Boundary Element Electric Field Analysis

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  • 境界要素電界解析による電極形状の最適設計
  • キョウカイ ヨウソ デンカイ カイセキ ニ ヨル デンキョク ケイジョウ ノ

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In many high voltage switchgears used at substations, it is very important to determine the optimal shape of an electrode. A number of techniques have been used for the design of electrodes by combining the finite element or the boundary element method (BEM) with the direct search method or the conjugate gradient method. In these techniques, only one optimal shape is determined by searching the shape corresponding to the minimal objective function. It is not always the optimal design when the objective function has considerably different gradients in the vicinity of the minimal point. In addition, the predicted shape is not always the optimal one when there are multi-minima, because only one of them is predicted by the usual optimal design.<br>In the present paper, a new method which is proposed by the authors, is used. It is the method for determination of the "Optimal Region" satisfying the objective function after introduction of shape fluctuation criterion in work process. To determine the optimal region, a new computer code is developed by combining the usual BEM with the Powell method. Two dimensional problems for the optimal design of electrode shapes are analyzed by means of the proposed method. The optimal region is determined for arbitary shapes within the limits of the shape fluctuation criterion. It can be seen that the proposed method is useful, in particular, to guarantee the quality of high voltage switchgear, etc.

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