Fast computation of electric field and capacitance matrix of transformer windings with boundary element method and adaptive cross approximation. Issue 9 (14th August 2019)

• Record Type: Journal Article
• Authors: Drandić, Ana; Trkulja, Bojan
• Is Part Of: IET electric power applications. Volume 13:Issue 9(2019)
• Page Start: 1422
• Page End: 1427
• Publication Date: 2019-08-14
• Subjects: transformer windings -- integral equations -- approximation theory -- boundary‐elements methods -- computational electromagnetics -- electric fields -- power transformers -- matrix algebra -- geometry; electrostatic solver -- finite element method -- adaptive cross approximation algorithm -- computational costs -- transformer geometry -- integral equations approach -- transformer design -- boundary element method -- transformer windings -- capacitance matrix -- electric field; Electric power -- Periodicals; Electric power systems -- Periodicals; 621.305
• DOI: 10.1049/iet-epa.2018.5680
• Languages: English
• ISSNs: 1751-8660

Abstract

Abstract : Accurate and fast computation of electric fields is of great interest in transformer design. This article presents a fast and precise method of computation of electric field of transformer windings based on the boundary element method and integral equations approach. Additionally, computation of the capacitance matrix of a transformer geometry is presented. Proposed methodology depends on the knowledge of the transformer geometry. Improvement in computational costs and memory requirements of the developed electrostatic solver is achieved by implementation of the adaptive cross approximation algorithm. Results are benchmarked against commercial software based on the finite element method and applicability of the developed solver is proven.