采用改进Davidson-Cole介电模型的变压器油纸绝缘状态分析
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摘要
为利用频域介电谱准确分析变压器油纸绝缘状态,引入考虑直流电导率与跳跃电导率的改进DavidsonCole介电模型。运用测量的频域介电谱数据参数化改进Davidson-Cole介电模型,将其转化为非线性优化问题。选用混合蛙跳优化算法对改进Davidson-Cole介电模型参数进行辨识,得到了弛豫时间τ、圆弧不对称度β和直流电导率σ_(dc)等特征参数。研究了老化与受潮对油纸绝缘试样的改进Davidson-Cole模型参数的影响特性,结果表明β与糠醛含量、σ_(dc)与水分含量有着良好的指数关系;τ与糠醛含量、水分含量有着良好的对数关系。通过线性拟合获得了糠醛含量、水分含量与模型参数的量化关系式,其拟合优度较高,因此可利用改进Davidson-Cole模型定量评估变压器油纸绝缘状态。
In order to accurately analyze the state of transformer oil paper insulation using FDS( Frequency-domain Dielectric Spectroscopy),an improved Davidson-Cole dielectric model considering DC conductivity and hopping conductivity is proposed. The Davidson-Cole dielectric model is improved by parameterizing the measured FDS data and then transformed into a nonlinear optimization problem. The mixed frog leaping optimization algorithm is adopted to identify the parameters of the improved Davidson-Cole dielectric model,by which,the characteristic parameters such as relaxation time τ,asymmetry of circular arc β and DC conductivity σdcare obtained. The influences of aging and moisture on the parameters of modified Davidson-Cole dielectric model for oil paper insulation samples are researched. The research results show that β has good exponential relationship with furfural content,σdchas good exponential relationship with moisture content,and τ has good logarithmic relationship with furfural content and moisture content. Quantitative functions of relationship between furfural content,moisture content and model parameters are obtained by linear fitting. These quantitative functions have high goodness of fit,so the improved Davidson-Cole dielectric model can be used to quantitatively evaluate the state of transformer oil paper insulation.
In order to accurately analyze the state of transformer oil paper insulation using FDS( Frequency-domain Dielectric Spectroscopy),an improved Davidson-Cole dielectric model considering DC conductivity and hopping conductivity is proposed. The Davidson-Cole dielectric model is improved by parameterizing the measured FDS data and then transformed into a nonlinear optimization problem. The mixed frog leaping optimization algorithm is adopted to identify the parameters of the improved Davidson-Cole dielectric model,by which,the characteristic parameters such as relaxation time τ,asymmetry of circular arc β and DC conductivity σdcare obtained. The influences of aging and moisture on the parameters of modified Davidson-Cole dielectric model for oil paper insulation samples are researched. The research results show that β has good exponential relationship with furfural content,σdchas good exponential relationship with moisture content,and τ has good logarithmic relationship with furfural content and moisture content. Quantitative functions of relationship between furfural content,moisture content and model parameters are obtained by linear fitting. These quantitative functions have high goodness of fit,so the improved Davidson-Cole dielectric model can be used to quantitatively evaluate the state of transformer oil paper insulation.
引文
[1]杨丽君,齐超亮,邓帮飞,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):310-317.
[2]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.
[3]黎成林,曹保江,孙健翔,等.基于FDS的变压器油浸纸老化程度与水分含量评估方法[J].电力自动化设备,2017,37(1):217-223.LI Chenglin,CAO Baojiang,SUN Jianxiang,et al. FDS-based assessment of aging degree and moisture content for oil-paper in transformer[J]. Electric Power Automation Equipment,2017,37(1):217-223.
[4]陈伟根,杜杰,凌云,等.变压器油纸绝缘气隙放电能量-小波矩特征及放电过程划分[J].电力自动化设备,2014,34(6):89-95.CHEN Weigen,DU Jie,LING Yun,et al. Energy-wavelet moment characteristics of air-gap discharge in oil-paper insulation of transformer and partition of discharge process[J]. Electric Power Automation Equipment,2014,34(6):84-95.
[5] LINHJELL D,LUNDGAARD L,GAFVERT U. 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.
[6]刘骥,尹梦涵,李秀婧,等.油纸绝缘老化评估的Davidson-Cole模型参数提取方法[J].电机与控制学报,2017,21(3):63-70.LIU Ji,YIN Menghan,LI Xiujing,et al. Parameters extraction of Davidson-Cole model on aging assessment of oil-paper insulation[J].Electric Machines and Control,2017,21(3):63-70.
[7]董明,刘媛,任明,等.水分含量与分布对油纸绝缘频域介电谱影响的有限元仿真与研究[J].高电压技术,2014,40(11):3403-3410.DONG Ming,LIU Yuan,REN Ming,et al. Impacts of Moisture content and distribution on frequency domain spectroscopy of oil-paper insulation system by FEM approach[J]. High Voltage Engineering,2014,40(11):3403-3410.
[8]FOFANA I,WASSERBERG V,BORSI H,et al. Challenge of mixed insulating liquids for use in high-voltage transformers[J]. IEEE Transactions on Electrical Insulation Magazine,2002,18(4):5-16.
[9]周利军,李先浪,王晓剑,等.基于回复电压曲线的油纸绝缘状态评估[J].高电压技术,2014,40(2):489-496.ZHOU Lijun,LI Xianlang,WANG Xiaojian,et al. Status assessment of oil-paper insulation based on recovery voltage method[J]. High Voltage Engineering,2014,40(2):489-496.
[10]杨丽君,邓帮飞,廖瑞金,等.应用时-温-水分叠加方法改进油纸绝缘热老化寿命模型[J].中国电机工程学报,2011,31(31):196-203.YANG Lijun,DENG Bangfei,LIAO Ruijin,et al. Improvement of lifetime model on thermal aging of oil-paper insulation by timetemperature-moisture superposition method[J]. Proceedings of the CSEE,2011,31(31):196-203.
[11]闰春江.油浸电力变压器固体绝缘老化的诊断及其应用[D].西安:西安交通大学,2003.RUN Chunjiang. Diagnosis and its application of immersed power transformers solid insulation aging[D]. Xi'an:Xi'an Jiaotong University,2003.
[12]林元棣,廖瑞金,张镱议,等.换油对变压器油中糠醛含量和绝缘纸老化评估的影响及修正[J].电工技术学报,2017,32(13):255-263.LIN Yuangeng,LIAO Ruijin,ZHANG Yiyi,et al. Effects and corrections of oil replacement upon furfural content in insulating oil and aging assessment of insulation paper of power transformers[J].Transactions of China Electrotechnical Society,2017,32(13):255-263.
[13]PAHLAVANPOUR P,EKLUND,MARTINS M A. Insulating paper ageing and furfural formation[C]∥Proceedings of 2003 Electrical Insulation and Electrical Manufacturing&Coil Winding Technology Conference. Indianapolis,India:IEEE,2003:283-288.
[14]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.
[15]SAHA T K,PURKAIT P. Investigation of an expert system for the condition assessment of transformer insulation based on dielectric response measurements[J]. IEEE Transactions on Power Delivery,2004,19(3):1127-1134.
[16]廖瑞金,杨丽君,郑含博,等.电力变压器油纸绝缘热老化研究综述[J].电工技术学报,2012,27(5):1-12.LIAO Ruijin,YANG Lijun,ZHENG Hanbo,et al. Reviews on oilpaper insulation thermal aging in power transformers[J]. Transactions of China Electrotechnical Society,2012,27(5):1-12.
[17]SAHA T K,PURKAIT P. Investigation of an expert system for the condition assessment of transformer insulation based on dielectric response measurements[J]. IEEE Transactions on Power Delivery,2004,19(3):1127-1134.
[2]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.
[3]黎成林,曹保江,孙健翔,等.基于FDS的变压器油浸纸老化程度与水分含量评估方法[J].电力自动化设备,2017,37(1):217-223.LI Chenglin,CAO Baojiang,SUN Jianxiang,et al. FDS-based assessment of aging degree and moisture content for oil-paper in transformer[J]. Electric Power Automation Equipment,2017,37(1):217-223.
[4]陈伟根,杜杰,凌云,等.变压器油纸绝缘气隙放电能量-小波矩特征及放电过程划分[J].电力自动化设备,2014,34(6):89-95.CHEN Weigen,DU Jie,LING Yun,et al. Energy-wavelet moment characteristics of air-gap discharge in oil-paper insulation of transformer and partition of discharge process[J]. Electric Power Automation Equipment,2014,34(6):84-95.
[5] LINHJELL D,LUNDGAARD L,GAFVERT U. 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.
[6]刘骥,尹梦涵,李秀婧,等.油纸绝缘老化评估的Davidson-Cole模型参数提取方法[J].电机与控制学报,2017,21(3):63-70.LIU Ji,YIN Menghan,LI Xiujing,et al. Parameters extraction of Davidson-Cole model on aging assessment of oil-paper insulation[J].Electric Machines and Control,2017,21(3):63-70.
[7]董明,刘媛,任明,等.水分含量与分布对油纸绝缘频域介电谱影响的有限元仿真与研究[J].高电压技术,2014,40(11):3403-3410.DONG Ming,LIU Yuan,REN Ming,et al. Impacts of Moisture content and distribution on frequency domain spectroscopy of oil-paper insulation system by FEM approach[J]. High Voltage Engineering,2014,40(11):3403-3410.
[8]FOFANA I,WASSERBERG V,BORSI H,et al. Challenge of mixed insulating liquids for use in high-voltage transformers[J]. IEEE Transactions on Electrical Insulation Magazine,2002,18(4):5-16.
[9]周利军,李先浪,王晓剑,等.基于回复电压曲线的油纸绝缘状态评估[J].高电压技术,2014,40(2):489-496.ZHOU Lijun,LI Xianlang,WANG Xiaojian,et al. Status assessment of oil-paper insulation based on recovery voltage method[J]. High Voltage Engineering,2014,40(2):489-496.
[10]杨丽君,邓帮飞,廖瑞金,等.应用时-温-水分叠加方法改进油纸绝缘热老化寿命模型[J].中国电机工程学报,2011,31(31):196-203.YANG Lijun,DENG Bangfei,LIAO Ruijin,et al. Improvement of lifetime model on thermal aging of oil-paper insulation by timetemperature-moisture superposition method[J]. Proceedings of the CSEE,2011,31(31):196-203.
[11]闰春江.油浸电力变压器固体绝缘老化的诊断及其应用[D].西安:西安交通大学,2003.RUN Chunjiang. Diagnosis and its application of immersed power transformers solid insulation aging[D]. Xi'an:Xi'an Jiaotong University,2003.
[12]林元棣,廖瑞金,张镱议,等.换油对变压器油中糠醛含量和绝缘纸老化评估的影响及修正[J].电工技术学报,2017,32(13):255-263.LIN Yuangeng,LIAO Ruijin,ZHANG Yiyi,et al. Effects and corrections of oil replacement upon furfural content in insulating oil and aging assessment of insulation paper of power transformers[J].Transactions of China Electrotechnical Society,2017,32(13):255-263.
[13]PAHLAVANPOUR P,EKLUND,MARTINS M A. Insulating paper ageing and furfural formation[C]∥Proceedings of 2003 Electrical Insulation and Electrical Manufacturing&Coil Winding Technology Conference. Indianapolis,India:IEEE,2003:283-288.
[14]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.
[15]SAHA T K,PURKAIT P. Investigation of an expert system for the condition assessment of transformer insulation based on dielectric response measurements[J]. IEEE Transactions on Power Delivery,2004,19(3):1127-1134.
[16]廖瑞金,杨丽君,郑含博,等.电力变压器油纸绝缘热老化研究综述[J].电工技术学报,2012,27(5):1-12.LIAO Ruijin,YANG Lijun,ZHENG Hanbo,et al. Reviews on oilpaper insulation thermal aging in power transformers[J]. Transactions of China Electrotechnical Society,2012,27(5):1-12.
[17]SAHA T K,PURKAIT P. Investigation of an expert system for the condition assessment of transformer insulation based on dielectric response measurements[J]. IEEE Transactions on Power Delivery,2004,19(3):1127-1134.