油纸绝缘老化评估的Davidson-Cole模型参数提取方法
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摘要
针对目前变压器油纸绝缘老化状态评估中的纸板聚合度测定破坏性取样、介电响应法测量没有定量判据等问题,提出一种基于Davidson-Cole模型的现场绝缘老化状态定量评估方法。首先仿真研究Davidson-Cole模型参数提取方法,借助现场测量的去极化电流数据,计算出油纸绝缘等值电路参数与频域复介电常数,并利用所得数据绘制Davidson-Cole图,采用多变量最小二乘拟合方法得出松弛时间、介电常数变化量等Davidson-Cole模型参量。实验研究了油纸绝缘不同老化程度的Davidson-Cole模型,采用非线性拟合方法对其老化状态进行Davidson-Cole模型参量提取并分析参数变化,研究结果表明,模型参数与老化程度有直接关系,仿真结果与实验结果一致,对变压器油纸绝缘老化状态评估有参考价值。
Aiming at problems of destructive sampling for measuring polymerization degree of insulating board,non-quantitative criterion for dielectric response measurement in present aging assessment of transformer oil-paper insulation,a quantitative on-site insulation assessment method was proposed on the basis of Davidson-Cole model.The extraction method of Davidson-Cole model parameters was studied.Using the on-site testing data of depolarization current,equivalent circuit parameters and frequency domain complex permittivity of oil-paper insulation were calculated,and Davidson-Cole graphs was plotted.The DavidsonCole model parameters,such as relaxation time,permittivity change,were fitted by using multivariable least squares method.The Davidson-Cole model parameters with difference aging degree in oil-paper insulation were investigated,meanwhile,the extraction method of nonlinear fitting was adopted,and changing rules of Davidson-Cole model parameters were analyzed in detail.It is shown that Davidson-Cole modelparameters have some relationship with the degree of aging,and the simulation results are consistent with experimental results.The study is helpful to aging assessment of oil-paper insulation in power transformers.
Aiming at problems of destructive sampling for measuring polymerization degree of insulating board,non-quantitative criterion for dielectric response measurement in present aging assessment of transformer oil-paper insulation,a quantitative on-site insulation assessment method was proposed on the basis of Davidson-Cole model.The extraction method of Davidson-Cole model parameters was studied.Using the on-site testing data of depolarization current,equivalent circuit parameters and frequency domain complex permittivity of oil-paper insulation were calculated,and Davidson-Cole graphs was plotted.The DavidsonCole model parameters,such as relaxation time,permittivity change,were fitted by using multivariable least squares method.The Davidson-Cole model parameters with difference aging degree in oil-paper insulation were investigated,meanwhile,the extraction method of nonlinear fitting was adopted,and changing rules of Davidson-Cole model parameters were analyzed in detail.It is shown that Davidson-Cole modelparameters have some relationship with the degree of aging,and the simulation results are consistent with experimental results.The study is helpful to aging assessment of oil-paper insulation in power transformers.
引文
[1]吴巧巧,周志强,陈文,等.油纸绝缘系统局放光纤传感检测方法[J].哈尔滨理工大学学报,2016,21(4):96-100.WU Qiaoqiao,ZHOU Zhiqiang,CHEN Wen,et al.Partial discharge fiber sensing detection method for oil-paper insulation system[J].Journal of Harbin University of Science and Technology,2016,21(4):96-100.
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[9]刘君,吴广宁,周利军,等.变压器油纸绝缘微水扩散暂态的电介质频率响应[J].中国电机工程学报,2013,33(1):171-178.LIU Jun,WU Guangning,ZHOU Lijun,et al.Dielectric frequency response of oil-paper composite insulation with transient moisture equilibrium[J].Proceedings of the CSEE.2013,33(1):171
[10]Saha T K,Purkait P.Investigation of polarization and depolarization current measurements for the assessment of oil-paper insulation of aged transformers[J].IEEE Transactions on Dielectrics and Electrical Insulation,2004,11(1):144-154.
[11]王飞风,张沛红,高铭泽.纳米碳化硅/硅橡胶复合物介电性研究[J].哈尔滨理工大学学报,2015,20(3):82-85.WANG Feifeng,ZHANG Peihong,GAO Mingze.Research on the dielectric characteristics of nano-Si C/Silicone rubber composites[J].Journal of Harbin University of Science and Technology,2015,20(3):82-85.
[12]Farahani M,Borsi H,Gockenbach E.Dielectric response studies on insulating system of high voltage rotating machines[J].IEEE Transactions on Dielectrics and Electrical Insulation,2006,13(1):383-393.
[13]张致,董明,杨双锁,等.频域谱技术用于油浸式电力变压器绝缘状态现场诊断[J].高电压技术,2009,35(7):1648-1653.ZHANG Zhi,DONG Ming,YANG Shuangsuo,et al.Application of frequency domain spectroscopy to the insulation diagnosis of oilimmersed power transformer on site[J].High Voltage Engineering,2009,35(7):1648-1653.
[14]Gubanski S M,Boss P,Csepes G,et al.Dielectric response metbods for diagnostics of power transformers[J].IEEE Electrical Insulation Magazine,2003,19(3):12-18.
[15]D Linhjell,L Lundgaard,U Gafvert.Dielectric response of mineral oil impregnated cellulose and the impact of aging[J].IEEE Transactions on Dielectrics and Electrical Insulation,2007,14(1):156-169.
[16]杨丽君,齐超亮,邓邦飞,等.采用修正Cole-Cole模型提取油纸绝缘频域介电谱的特征参量方法[J].高电压技术,2013,39(2):310-317.YANG Lijun,QI Chaoliang,DENG Bangfei,et al.Application of modified cole-cole model to extract characteristics of frequency dielectric spectroscopy of oil-paper insulation[J].High Voltage Engineering,2013,39(2):10-317.
[17]刘君,周利军,吴广宁.纳米改性变压器油纸复合绝缘频率响应特性[J].中国电机工程学报,2011,31(28):144-153.LIU Jun,ZHOU Lijun,WU Guangnin.Dielectric frequency response of oil-paper composite insulation modified by nanoparticles[J].Proceedings of the CSEE,2011,31(28):144-153.
[18]Setayeshmehr A,Fofana I,Eichler C,et al.Dielectric spectroscopic measurements on transformer oil-paper insulation under controlled laboratory conditions[J].IEEE Transactions on Dielectrics and Electrical Insulation,2008,15(4):1100-1111.
[19]Blennow J,Ekanayake C,Gubanski S M,et al.Field experiences with measurements of dielectric response in frequency domain for power transformer diagnostics[J].IEEE Transactions on Power Delivery,2006,21(2):681-688.
[20]贡春艳.极化去极化电流法和回复电压法融合的油纸绝缘老化状态评估[D].重庆:重庆大学,2013.
[21]T K Saha and P.Purkait.Understanding the impacts of moisture and thermal aging on transformer's insulation by dielectric response and molecular weight measurements[J].IEEE Transactions on Dielectrics and Electrical Insulation,2008,15(2):568
[22]T V Oommen.Moisture equilibrium charts for transformer insulation drying practice[J].IEEE Transactions on Power Apparatus and Systems,1984,103:3063-3067.
[2]林智勇,蔡金锭.油纸绝缘极化等效电路参数计算方法[J].电机与控制学报,2014,18(8):62-66.LIN Zhiyong,CAI Jinding.Novel method to calculate polarized equivalent circuit of oil-paper insulation[J].Electric Machines and Control,2014,18(8):62-66.
[3]蔡金锭,王凯.油纸绝缘变压器非标准极化谱的仿真研究[J].电机与控制学报,2014,18(9):49-53.CAI Jinding,WANG Kai.Research on non-standard polarization spectrum of oil-paper insulation transforers[J].Electric Machines and Control,2014,18(9):49-53.
[4]张秋也,朱学成,高自伟,等.温度对油、纸介电参数及复合电场分布的影响[J].哈尔滨理工大学学报,2015,20(6):59-64.ZHANG Qiuye,ZHU Xuecheng,GAO Ziwei,et al.Influence of temperature on dielectric parameters of oil&pressboard and the electric field distribution of oil-paper insulation under compound voltage[J].Journal of Harbin University of Science and Technology,2015,20(6):59-64.
[5]WEI J L,ZHANG G J,DONG M,et al.Research progress on insulation condition estimation for oil-immersed power transformer[C]//Proceedings of 2008 International Symposium on Electrical Insulating Materials(ISEIM2008),Yokkaichi,Japan:IEEJ,2008:32-35.
[6]Ekanayake C,Gubanski S M,Graczkowski A,et al.Frequency response of oil impregnated pressboard and paper samples for estimating moisture in transformer insulation[J].IEEE Transactions on Power Delivery,2006,21(3):1309-1317.
[7]Frimpong G,Gafvert U,Fuhr J.Measurement and modeling of dielectric response of composite oil/paper insulation[C]//Proceedings of the 5th International Conference on Properties and Applications of Dielectric Materials.Seoul,South Korea:IEEE,1997:86-89.
[8]Jota P R S,Islam S M.Jot a F G.Modeling the polarization spectrum in composite oil/paper insulation systems[J].IEEE Transactions on Dielectrics and Electrical Insulation,1999,6(2):145-151.
[9]刘君,吴广宁,周利军,等.变压器油纸绝缘微水扩散暂态的电介质频率响应[J].中国电机工程学报,2013,33(1):171-178.LIU Jun,WU Guangning,ZHOU Lijun,et al.Dielectric frequency response of oil-paper composite insulation with transient moisture equilibrium[J].Proceedings of the CSEE.2013,33(1):171
[10]Saha T K,Purkait P.Investigation of polarization and depolarization current measurements for the assessment of oil-paper insulation of aged transformers[J].IEEE Transactions on Dielectrics and Electrical Insulation,2004,11(1):144-154.
[11]王飞风,张沛红,高铭泽.纳米碳化硅/硅橡胶复合物介电性研究[J].哈尔滨理工大学学报,2015,20(3):82-85.WANG Feifeng,ZHANG Peihong,GAO Mingze.Research on the dielectric characteristics of nano-Si C/Silicone rubber composites[J].Journal of Harbin University of Science and Technology,2015,20(3):82-85.
[12]Farahani M,Borsi H,Gockenbach E.Dielectric response studies on insulating system of high voltage rotating machines[J].IEEE Transactions on Dielectrics and Electrical Insulation,2006,13(1):383-393.
[13]张致,董明,杨双锁,等.频域谱技术用于油浸式电力变压器绝缘状态现场诊断[J].高电压技术,2009,35(7):1648-1653.ZHANG Zhi,DONG Ming,YANG Shuangsuo,et al.Application of frequency domain spectroscopy to the insulation diagnosis of oilimmersed power transformer on site[J].High Voltage Engineering,2009,35(7):1648-1653.
[14]Gubanski S M,Boss P,Csepes G,et al.Dielectric response metbods for diagnostics of power transformers[J].IEEE Electrical Insulation Magazine,2003,19(3):12-18.
[15]D Linhjell,L Lundgaard,U Gafvert.Dielectric response of mineral oil impregnated cellulose and the impact of aging[J].IEEE Transactions on Dielectrics and Electrical Insulation,2007,14(1):156-169.
[16]杨丽君,齐超亮,邓邦飞,等.采用修正Cole-Cole模型提取油纸绝缘频域介电谱的特征参量方法[J].高电压技术,2013,39(2):310-317.YANG Lijun,QI Chaoliang,DENG Bangfei,et al.Application of modified cole-cole model to extract characteristics of frequency dielectric spectroscopy of oil-paper insulation[J].High Voltage Engineering,2013,39(2):10-317.
[17]刘君,周利军,吴广宁.纳米改性变压器油纸复合绝缘频率响应特性[J].中国电机工程学报,2011,31(28):144-153.LIU Jun,ZHOU Lijun,WU Guangnin.Dielectric frequency response of oil-paper composite insulation modified by nanoparticles[J].Proceedings of the CSEE,2011,31(28):144-153.
[18]Setayeshmehr A,Fofana I,Eichler C,et al.Dielectric spectroscopic measurements on transformer oil-paper insulation under controlled laboratory conditions[J].IEEE Transactions on Dielectrics and Electrical Insulation,2008,15(4):1100-1111.
[19]Blennow J,Ekanayake C,Gubanski S M,et al.Field experiences with measurements of dielectric response in frequency domain for power transformer diagnostics[J].IEEE Transactions on Power Delivery,2006,21(2):681-688.
[20]贡春艳.极化去极化电流法和回复电压法融合的油纸绝缘老化状态评估[D].重庆:重庆大学,2013.
[21]T K Saha and P.Purkait.Understanding the impacts of moisture and thermal aging on transformer's insulation by dielectric response and molecular weight measurements[J].IEEE Transactions on Dielectrics and Electrical Insulation,2008,15(2):568
[22]T V Oommen.Moisture equilibrium charts for transformer insulation drying practice[J].IEEE Transactions on Power Apparatus and Systems,1984,103:3063-3067.