Abstract

This paper proposes a dynamic multi-level optimal design method for power transformer design optimization (TDO) problems. A response surface generated by second-order polynomial regression analysis is updated dynamically by adding more design points, which are selected by Shifted Hammersley Method (SHM) and calculated by finite-element method (FEM). The updating stops when the accuracy requirement is satisfied, and optimized solutions of the preliminary design are derived simultaneously. The optimal design level is modulated through changing the level of error tolerance. Based on the response surface of the preliminary design, a refined optimal design is added using multi-objective genetic algorithm (MOGA). The effectiveness of the proposed optimal design method is validated through a classic three-phase power TDO problem.

Highlights

  • Power transformers have been serving as the main electric equipment in alternating current power systems since last century

  • Constraints used in transformer design optimization (TDO) studies are classified into two types, the first of which includes international technical specifications on different aspects of transformer properties, such as IEC 60076-1 on general property, IEC 60076-2 on temperature-rise, IEC 60076-3 on insulation and IEC 60076-5 on stability.[3]

  • Determination of refinement points is achieved by Shifted Hammersley Method (SHM), which provides a global overview of the optimization problem including global and local extrema through generating a large number of samples from the response surface and sorting them based on objectives and constraints

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Summary

INTRODUCTION

Power transformers have been serving as the main electric equipment in alternating current power systems since last century. They still play a vital role in modern High Voltage Direct Current system as a connector between systems. With the continuous advance in power industry, transformer design has received considerable attention.[1,2,3,4] its optimization studies remain a major challenge because of numerous design variables, complicated geometries and conflicting constrained objectives.

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