Alleviation of Electric Field Intensity in High-Voltage System by Topology and Shape Optimization of Dielectric Material Using Continuum Design Sensitivity and Level Set Method

Abstract

A new design method for topology and shape optimization to preserve high-voltage systems is proposed. The level set technique for the topology optimization is employed with the finite-element method. For the velocity field in the level set equation, the continuum sensitivity formula is used for accurate information of the electric field effect on the topology and shape variation. This technique is applied to three practical examples and the optimum designs of insulating dielectric for the systems are obtained. The optimum designs could suppress troubles, such as thermal deterioration or electrical breakdown, in the systems.Index Terms-Design optimization, finite-element methods, high-voltage system, level set method, sensitivity analysis.

Topology optimization for a station class surge arrester model

“…being obtained as described here. The sensitivities ∂J=∂φ are directly obtained by differentiating Equation (7), that is,…”

“…Most applications of topology optimization regard elasticity problems, 4 and photonic devices, 5 and acoustic wave propagation, 6 while only few works have been published so far that employ topology optimization for high-voltage devices. 7,8 The focus of this work is on topology optimization for capacitive field-grading layouts of a station class arrester. The objective of the optimization problem is to homogenize the electric field strength along the axis of symmetry of a twodimensional axisymmetric station class surge arrester.…”

Finite difference method for electric field optimization in high voltage power transformer bushings using engineering simulation and 3D design program

“…Up to now, several 3D dimensional electrode profiles with quasi-uniform electric field have been obtained using conformal mapping and experiments. They are noted as a finite difference method profile and finite element method profile [7,8].…”

Hybrid K Based Influential Parameter Determination and Design Optimization of 220 kV High Voltage Insulator

“…Genetic algorithm is used for contour optimization of a suspension type insulator with the aim to Manuscript received 5 December, 2018; accepted 8 April, 2019. minimize the electrical stress [7], [8]. For operation of composite insulators the electric stress on the surface of the insulator is a major factor [9], [10]. In [11], the electrical stress is calculated for 1000 kV insulator using boundary element method and 3-D software package.…”