Advanced Lightning, Power and Energy Research Centre (ALPER), Department of Electrical and Electronic Engineering, Faculty of Engineering, Universiti Putra Malaysia, Serdang, Selangor, Malaysia.
Institute of Advanced Technology (ITMA), Universiti Putra Malaysia, Serdang, Selangor, Malaysia.
PLoS One. 2020 Aug 27;15(8):e0236409. doi: 10.1371/journal.pone.0236409. eCollection 2020.
This paper proposes an alternative approach to extract transformer's winding parameters of resistance (R), inductance (L), capacitance (C) and conductance (G) based on Finite Element Method (FEM). The capacitance and conductance were computed based on Fast Multiple Method (FMM) and Method of Moment (MoM) through quasi-electrostatics approach. The AC resistances and inductances were computed based on MoM through quasi-magnetostatics approach. Maxwell's equations were used to compute the DC resistances and inductances. Based on the FEM computed parameters, the frequency response of the winding was obtained through the Bode plot function. The simulated frequency response by FEM model was compared with the simulated frequency response based on the Multi-conductor Transmission Line (MTL) model and the measured frequency response of a 33/11 kV, 30 MVA transformer. The statistical indices such as Root Mean Square Error (RMSE) and Absolute Sum of Logarithmic Error (ASLE) were used to analyze the performance of the proposed FEM model. It is found that the simulated frequency response by FEM model is quite close to measured frequency response at low and mid frequency regions as compared to simulated frequency response by MTL model based on RMSE and ASLE analysis.
本文提出了一种基于有限元方法（FEM）的变压器绕组参数（R、L、C 和 G）提取的替代方法。电容和电导基于快速多极子方法（FMM）和矩量法（MoM）通过准静电方法计算。交流电阻和电感基于 MoM 通过准静磁方法计算。麦克斯韦方程组用于计算直流电阻和电感。基于 FEM 计算的参数，通过波特图函数获得绕组的频率响应。通过 FEM 模型模拟的频率响应与基于多导体传输线（MTL）模型的模拟频率响应和 33/11 kV、30 MVA 变压器的实测频率响应进行了比较。根均方误差（RMSE）和绝对对数误差之和（ASLE）等统计指标用于分析所提出的 FEM 模型的性能。结果表明，与基于 MTL 模型的模拟频率响应相比，基于 RMSE 和 ASLE 分析，FEM 模型模拟的频率响应在低频和中频区域与实测频率响应非常接近。
