特高压变压器空载直流偏磁计算精度分析

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摘要针对特高压变压器直流偏磁计算问题,提出一种空载简化电路模型下的分段解析法,为直流偏磁数值计算奠定基础。根据特高压变压器简化电路模型,推导励磁电流解析式。电感随着电流的变化,分两段取值;电感的取值通过比较电流计算值与临界电流值的大小来判断。设置临界电流误差判据来判别电流计算值是否达到临界电流。分析计算表明,当电阻为实际电阻时,临界电流误差判据严格,可获得直流分量的准确解,临界电流误差判据宽松时,直流分量与准确解出现较大误差,甚至计算错误;通过人为增大串联电阻值,临界电流误差判据可相对宽松,从而获得直流分量近似准确解。在此基础上,以解析解的计算结果为基准,对比分析四阶龙格库塔法数值解。结果表明,步长较大相当于临界电流误差判据宽松,必须加大电阻,直流分量才可与准确解接近;步长较小相当于临界电流误差判据严格,电阻可不必太大。在特高压变压器直流偏磁数值计算中,可通过人为增大串联电阻值和适当减小计算步长来获得较为准确的直流偏磁特性。

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关键词 ：特高压变压器直流偏磁, 简化电路模型, 解析解, 误差判据

Abstract：Due to the problem about DC-biased computation on UHV transformer, a new segmented analytical method for simplified circuit model of no load has been proposed. It lays the foundation for the numerical calculation. According to the simplified circuit model of no load, analytical formula is derived. With the change of the current, inductance is in two stages. The inductance value is determined by comparing the calculated current value with the critical current value. A critical current error criterion is set to determine whether the calculated current value reaches the critical current. The calculated result shows that the accurate solution of dc component can be obtained under a low resistance and a small error criterion. Instead, with a larger error criterion, the values of dc component vary greatly with accurate solutions, even exist wrong solutions. Finally, based on the above analytical solutions, the numerical solutions of the fourth Runge-Kutta are analyzed. The results show that it is necessary to increase the resistance when the time step is large, corresponding to a large error criterion; while the resistance may not be too much with a smaller time step, corresponding to a smaller error criterion. An accurate numerical solution can be obtained with an appropriate time step and an artificially increased resistance in the calculation of UHV DC bias transformer.

Key words： DC-biased UHV transformer simplified circuit model analytical solution error criterion

收稿日期: 2016-02-22 出版日期: 2017-03-01

PACS:

TM153+.1

基金资助:国家重点研发计划专项资助项目（2016YFC0800103）

通讯作者: 谭瑞娟女,1988 年生,博士研究生,主要从事电磁场数值计算和电力系统电磁兼容的研究。E-mail: tlanlan1988@126.com

作者简介: 王泽忠男,1960年生,教授,博士生导师,主要从事电磁场分析计算、电力系统电磁兼容和电磁测量等科学研究和教学工作。E-mail: wzzh@ncepu.edu.cn

引用本文:

谭瑞娟, 王泽忠, 邓涛, 胥建文, 李书连. 特高压变压器空载直流偏磁计算精度分析[J]. 电工技术学报, 2017, 32(4): 162-169. Tan Ruijuan, Wang Zezhong, Deng Tao, Xu Jianwen, Li Shulian. Accuracy Analysis for DC-Biased UHV Transformer in No-Load. Transactions of China Electrotechnical Society, 2017, 32(4): 162-169.

链接本文:

https://dgjsxb.ces-transaction.com/CN/Y2017/V32/I4/162

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