变压器绕组梯形等效电路频率响应的稀疏列表算法研究  

Sparse Tableau Algorithm for Frequency Response of Transformer Winding Ladder Equivalent Circuit

作　　者：王薇[1] 王松 曾鑫海 岳洁 董玮 杨彬 WANG Wei;WANG Song;ZENG Xinhai;YUE Jie;DONG Wei;YANG Bin(Department of Power and Electrical Engineering,Northwest A&F University,Yangling 712100,China;State Grid Shaanxi Electric Power Research Institute,Xi’an 710100,China)

机构地区：[1]西北农林科技大学动力与电气系,陕西杨凌712100 [2]国网陕西电力科学研究院,陕西西安710100

出　　处：《智慧电力》2023年第7期102-107,共6页Smart Power

基　　金：国家自然科学基金资助项目(52009114);陕西省自然科学基金资助项目(2023-JC-QN-0438)。

摘　　要：准确计算变压器绕组等效电路频率响应是开展频率响应分析(FRA)仿真研究的基础。研究了双绕组变压器梯形等效电路频率响应的稀疏列表算法。首先,依据图论与绕组梯形等效电路各支路电压、电流及电气元件的约束条件,构建了稀疏列表方程;其次,求解稀疏列表方程,并计算了不同FRA测试接线形式下的FRA曲线;最后,通过算例验证了所述方法的正确性。该方法仅需一次矩阵求解,即可同时获得各支路的电压、电流向量及各节点电压向量,避免了因接线形式变化而需要的多次矩阵求解过程,实现了不同接线形式下FRA曲线的快速获取。To accurately calculate the frequency response of transformer winding equivalent circuit is the basis for studying frequency response analysis(FRA)simulation method.The sparse tableau method is investigated for calculating the FRA curves of equivalent circuit of two-winding transformer.Firstly,based on the graph theory and the relationship between branch voltage,branch current and the constraints of electrical components,the sparse tableau equation of the equivalent circuit is constructed.Then,the FRA curves with different FRA test connections are obtained by solving the equation.Finally,the accuracy of the proposed method is validated through case analysis.This method can obtain the branch voltage vector,branch current vector,and the node voltage vector at the same time only by solving the sparse tableau matrix once.It avoids the multiple matrix solution process caused by the change of test connections and it can rapidly get the FRA curves under different FRA test connections.

关 键 词：变压器 频率响应 稀疏列表法 梯形等效电路 

分 类 号：TM411[电气工程—电器]