Application of RBFEM to Fast Optimization Design of Electric Field

MA Ai-qing1; JIANG Xiu-chen2; JIA Yi-fan3

doi:10.13296/j.1001-1609.hva.2010.03.019

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Application of RBFEM to Fast Optimization Design of Electric Field

更新时间：2025-04-26

- Application of RBFEM to Fast Optimization Design of Electric Field
- High VoltageApparatus Vol. 46, Issue 3, Pages: 88-91(2010)
- 作者机构：
  
  1. 上海电力学院电力与自动化学院
  2. 上海交通大学电气工程系
  3. 瑞典查尔姆斯理工大学
- 作者简介：
- 基金信息：
- DOI：10.13296/j.1001-1609.hva.2010.03.019
  CLC： TM51
- Published：2010
- 稿件说明：
移动端阅览
[1]马爱清,江秀臣,贾一凡.RBFEM在电场快速优化设计中的应用[J].高压电器,2010,46(03):88-91.

MA Ai-qing1, JIANG Xiu-chen2, JIA Yi-fan3. Application of RBFEM to Fast Optimization Design of Electric Field[J]. High voltageapparatus, 2010, 46(3): 88-91.
[1]马爱清,江秀臣,贾一凡.RBFEM在电场快速优化设计中的应用[J].高压电器,2010,46(03):88-91. DOI： 10.13296/j.1001-1609.hva.2010.03.019.

MA Ai-qing1, JIANG Xiu-chen2, JIA Yi-fan3. Application of RBFEM to Fast Optimization Design of Electric Field[J]. High voltageapparatus, 2010, 46(3): 88-91. DOI： 10.13296/j.1001-1609.hva.2010.03.019.

摘要

针对高压电器设备电场优化设计常用有限元法（FEM）结合非线性规划法

设计变量改变后需要不断重复FEM的一系列计算过程

存在着大量的重复计算

从而引起计算量大大增加。为此

笔者引入了缩减基有限元法（RBFEM）

推导了基于缩减基法的有限元方程。RBFEM通过计算维数大大减小的缩减基矩阵

使得整个优化过程的计算量大大减小。利用该算法

对500 kV电力变压器设备的绝缘结构进行了优化设计

每计算一次有限元方程

缩减基法需要的时间是FEM的1/4

可大大提高优化效率。同时和利用商业有限元软件计算优化后变压器绝缘结构的电场强度值比较

误差不超过1%

验证了该算法的有效性。

Abstract

To simplify the computation task in optimization design of high voltage electric field

the RBFEM（Reduced-Basis FEM） is introduced

and the formulas of RBFEM are derived.The order of reduced-basis matrix is much smaller than the number of nodes.By computing the reduced-basis matrix the computational effort of the entire optimization design is cut down without significantly lowering the accuracy of the FEM solution.The novel algorithm is applied to design the outside insulation of 500 kV power transformer

and the results show that the algorithm is efficient for fast optimization design of electric field.

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