06_application_SVM - 360 S. Banerjee et al.: Optimization...

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S. Banerjee et al.: Optimization of Support Insulators Used in HV Systems Using Support Vector Machine 1070-9878/07/$25.00 © 2007 IEEE 360 Optimization of Support Insulators Used in HV Systems Using Support Vector Machine S. Banerjee, A. Lahiri Department of Electrical Engineering Calcutta Institute of Engineering and Management Kolkata 700 040, West Bengal, India and K. Bhattacharya Jadavpur University Department of Electrical Engineering Kolkata 700 032, West Bengal, India ABSTRACT In this paper support vector machine (SVM) has been used for optimization of electric field along the support insulators used in high voltage (HV) systems. To illustrate the effectiveness of SVM in optimizing electric field problems, two axi-symmetric cases have been considered one having an insulator with a contour that is quarter ellipse and the second one having a porcelain core solid insulator. The training and the test data for the SVM have been prepared by electrostatic field computation using indirect boundary element method (BEM). It is observed that once the SVM is trained it is able to give results with mean absolute error of less than 1.5 % when compared with the analytically obtained results. The SVM designed for insulator contour optimization is first trained with the results obtained from electric field computation for some predetermined contours of the arrangements under consideration. Then the trained SVM is used to produce an optimized insulator contour in such a way that the desired stress distribution can be obtained on the insulator surface. The results obtained from the present study show that the trained SVM is adequately efficient to optimize insulator contours in order to have the desired stress distribution along the insulator surface. Index Terms - Support vector machine, optimization, support insulators. 1 INTRODUCTION PREVIOUSLY an insulating system was designed on the basis of elements of simple geometric forms. This classical approach of designing insulating systems resulted in non- uniform stress distribution and hence was not a very cost effective method. Better economy demands uniform stress distribution over both the electrode as well as the insulator contours. Electric stress distribution in a HV system arrangement cannot always be realized with simple geometries such as rings, cylinders or spheres. Since electric stresses largely depend on the geometric shapes, to obtain uniform stress distribution for contours with complex geometries, optimization of the electrode and the insulator contours are almost mandatory. In the literature [1-6] different methods of optimizing electrodes and insulator contours have been proposed. But all of these were carried out iteratively by linear interpolation to obtain the desired distribution of stress as far as practicable.
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This note was uploaded on 06/08/2011 for the course ELECTRICAL 124 taught by Professor Ghjk during the Spring '11 term at Institute of Technology.

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06_application_SVM - 360 S. Banerjee et al.: Optimization...

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