摘要
快速、准确计算变压器绕组集总参数等效电路的频率响应对基于频率响应分析法的变压器绕组变形仿真分析意义重大。为解决不同类型频率响应计算时需要多次方程求解的问题,本文将混合分析法应用到双绕组变压器集总参数等效电路的电压比、转移导纳以及入端阻抗的频率响应计算中,仅通过一次方程求解即可获得相应的频率响应。首先,利用广义支路对等效电路各支路进行描述,通过选取合适的基本割集矩阵,考虑各支路的电压电流约束关系,以树支电压和连支电流作为未知量,建立等效电路的混合矩阵方程;其次,通过求解混合矩阵方程,依据各类型频率响应函数的特点,计算三种类型的频率响应曲线;最后,利用两种数据指标将混合分析法与成熟电路仿真软件计算得到的频率响应曲线进行对比,计算结果表明:两种算法计算得到的三类频率响应曲线在整个扫频范围内一致性很好,对应的归一化相关系数值都接近于1,和平方比误差都接近于0。以上结果表明,本文所述的混合分析法仅通过一次方程求解即可获得三种不同类型的频率响应曲线,并验证了方法的正确性。
The fast and accurate frequency responses(FR)calculation of the lumped parameter equivalent circuit(LPEC)of transformer winding is of great significance to the simulation analysis of the winding deformation based on the frequency response analysis(FRA)method.To solve the problem that multiple equations need to be solved in the calculation of different types of FR,the mixed analysis method is applied to the FR calculation of the voltage ratio,transfer admittance and input impedance of LPEC of double winding transformer.The FRA curves can be obtained only by solving the equation for one time.Firstly,each branch of the LPEC is described by the generalized branch.By selecting the appropriate fundamental cut set matrix of the LPEC and considering the voltage and current constraints of each branch,the mixed matrix equation of the LPEC is established with the tree branch voltage and link branch current as unknowns.Secondly,by solving the mixed matrix equation,three types of FRA curves are calculated according to the characteristics of each type of FR function.Finally,the FRA curves obtained by mixed analysis method and the mature circuit simulation software are compared by using two numerical indices.The results show that the three types of FRA curves calculated by the two methods have good consistency in the whole frequency range.The values of the normalized correlation coefficient are close to 1,and the values of the sum squared ratio error are close to 0.It shows that the mixed analysis method proposed in this paper can be used to obtain three different types of FRA curves by solving the equation only once and the accuracy of the method is verified.
作者
王薇
王松
曾鑫海
孙国秀
董玮
刘闯
WANG Wei;WANG Song;ZENG Xinhai;SUN Guoxiu;DONG Wei;LIU Chuang(College of Water Resources and Architectural Engineering,Northwest A&F University,Xianyang 712100,China;Beijing Kedong Electric Power Control System Co.,Ltd.,Beijing 100192,China)
出处
《大电机技术》
2023年第3期58-65,共8页
Large Electric Machine and Hydraulic Turbine
基金
国家自然科学基金(52009114)
中央高校基本科研业务费(2452021050)
中国博士后科学基金面上资助项目(2021M692660)
水力发电设备国家重点实验室开放课题(SKLHE-ORF-202103)
陕西省自然科学基金青年项目(2023-JC-QN-0438)。
关键词
变压器
频率响应
混合分析法
集总参数等效电路
transformer
frequency response
mixed analysis method
lumped parameter equivalent circuit
