基于改进矢量匹配法的雷电下变压器等效端口模型研究  

Model Study on Equivalent Port of Transformer Under Lighting Impulse Based on Improved Vector Fitting Method

作　　者：梁贵书[1] 荆永明[1] LIANG Guishu;JING Yongming(School of Electrical and Electronic Engineering,North China Electric Power University,Baoding 071003,China)

机构地区：[1]华北电力大学电气与电子工程学院,河北保定071003

出　　处：《华北电力大学学报（自然科学版）》2018年第5期11-20,共10页Journal of North China Electric Power University：Natural Science Edition

摘　　要：为了简化雷电冲击下变压器端口集中参数模型,可以通过矢量匹配法和导纳综合理论建立其等效电路模型。然而,尽管矢量匹配法高效稳定,但其拟合精度易受初始极点的影响。结合具有全局收敛特性的遗传算法提出了一种改进方法,将矢量匹配的最终均方误差作为遗传算法的目标函数,通过不断迭代找到最优初始极点。仿真结果表明,在逼近变压器端口导纳函数时,所提改进矢量匹配法较传统矢量匹配法具有更高的拟合精度且在相同拟合精度下可以降低电路阶次。此外,为了进一步验证等效模型的准确性,分别对同一变压器的三种不同模型施加相同标准冲击电压波,计算其端口电压,入波电流,绕组末端流出电流和经外壳流出电流,仿真结果显示三种模型响应信号可以吻合。In order to simplify the lumped parameter model of transformer under lighting impulse,a corresponding equivalent circuit model can be established on the basis of the vector fitting method and the admittance synthetical theory.However,although vector fitting method is efficient and stable,its fitting precision is vulnerable to initial pole.Therefore,this paper raised an improved method according to the genetic algorithm which is of global convergence.It took the final mean square error of the vector fitting as the objective function of genetic algorithm and found the optimal initial pole by continual iteration.The simulation result indicated that the improved vector fitting method had higher fitting precision when approaching admittance function of the transformer port and could reduce the circuit order under the same fitting precision.In addition,researchers inflicted the same standard impulse voltage on three different models of the same transformer and calculated the port voltage,the current intruded by lighting impulse wave,flowing current through winding terminals and shells respectively.The results show that response signals of three models were consistent,which further verify the correctness of the equivalent model.

关 键 词：变压器集中参数模型 矢量匹配法 遗传算法 导纳综合理论 雷电冲击 

分 类 号：TN711.1[电子电信—电路与系统]