基于频响复数值及数字图像处理技术的变压器绕组变形分类方法
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摘要
为了在利用频率响应法诊断变压器绕组状态时准确解读检测结果,降低对分析人员的经验要求,提出了基于频响复数值及数字图像处理(DIP)技术的变压器绕组变形分类方法。该方法以频响测量数据的幅值和相位为依据,将变压器绕组的频响特性在极坐标上进行表示,并引入费歇尔判别法(FDA)和数字图像处理技术中的灰度投影法来实现不同绕组变形故障的分类。通过建模获得了多组绕组变形数据,然后利用提出的方法对40组检验样本进行状态分类,结果表明:不同类型样本在投影空间中的分布具有较为明显的区分,没有出现错误分类的情况。试验结果表明,提出的方法对于变压器绕组变形故障具有很好的分类效果,有利于实现电力变压器绕组状态诊断智能化。
In order to accurately analyze the test results and decrease the experience requirements for analysts when using the frequency response method to diagnose transformer winding condition, a method for classification of transformer winding deformation based on complex values of frequency response and digital image processing(DIP) techniques was proposed. The frequency response characteristics of normal and deformed windings were represented in polar coordinates on the basis of amplitude and phase angle of frequency response measurement data. Moreover, the Fisher discriminant analysis(FDA) and the gray projection method which is one of digital image processing techniques were used in the proposed classification method to realize the classification of different winding deformation faults. The data of winding deformation were obtained by modeling. Then the proposed method was used to classify 40 groups of test samples, and the results show that the distribution of different types of samples in projection space has obvious distinction andno misclassification occurs. The test results show that the method proposed in this paper has a good classification effect on transformer winding fault, which is beneficial to realize the intelligent diagnosis of transformer winding condition.
In order to accurately analyze the test results and decrease the experience requirements for analysts when using the frequency response method to diagnose transformer winding condition, a method for classification of transformer winding deformation based on complex values of frequency response and digital image processing(DIP) techniques was proposed. The frequency response characteristics of normal and deformed windings were represented in polar coordinates on the basis of amplitude and phase angle of frequency response measurement data. Moreover, the Fisher discriminant analysis(FDA) and the gray projection method which is one of digital image processing techniques were used in the proposed classification method to realize the classification of different winding deformation faults. The data of winding deformation were obtained by modeling. Then the proposed method was used to classify 40 groups of test samples, and the results show that the distribution of different types of samples in projection space has obvious distinction andno misclassification occurs. The test results show that the method proposed in this paper has a good classification effect on transformer winding fault, which is beneficial to realize the intelligent diagnosis of transformer winding condition.
引文
[1]孙翔,何文林,詹江杨,等.电力变压器绕组变形检测与诊断技术的现状与发展[J].高电压技术,2016,42(4):1207-1220.SUN Xiang, HE Wenlin, ZHAN Jiangyang, et al. Current status anddevelopment of test and diagnostic technique of transformer windingdeformation[J]. High Voltage Engineering, 2016, 42(4):1207-1220.
[2]BAGHERIM,NADERIMS,BLACKBURNT,etal.Frequencyresponse analysis and short-circuit impedance measurement in detec-tion of winding deformation within power transformers[J]. ElectricalInsulation Magazine, 2013, 29(3):33-40.
[3]DICK E P, ERVEN C C. Transformer diagnostic testing by frequuencyresponse analysis[J]. IEEE Transactions on Power Apparatus&Sys-tems, 1978, 97(6):2144-2153.
[4]YAO C, ZHAO Z, CHEN Y, et al. Transformer winding deformationdiagnostic system using online high frequency signal injection by ca-pacitivecoupling[J].IEEETransactionsonDielectrics&ElectricalInsulation, 2014, 21(4):1486-1492.
[5]张宁,朱永利,张蒙,等.基于VFTO特性的变压器绕组变形在线检测方法[J].华北电力大学学报,2016,43(5):8-13.ZHANG Ning, ZHU Yongli, ZHANG Meng, et al. On-line detectionmethod for transformer winding deformation based on characteristicsof VFTO[J]. Journal of North China Electric Power University, 2016,43(5):8-13.
[6]RYBEL T D, SINGH A, VANDERMAAR J A, et al. Apparatus foronline power transformer winding monitoring using bushing tap injec-tion[J]. IEEE Transactions on Power Delivery, 2009, 24(3):996-1003.
[7]桂峻峰,高文胜,谈克雄.用结构参数法研究变压器绕组变形判据[J].清华大学学报(自然科学版),2004,44(1):93-96.GUIJunfeng,GAOWensheng,TANKexiong.Criterionfortrans-formerwindingdeformationcalculatedbythestructuralparametermethod[J].JournalofTsinghuaUniversity(ScienceandTechnologyEdition), 2004, 44(1):93-96.
[8]BAGHERI M, PHUNG B T, BLACKBURN T. Transformer frequencyresponseanalysis:mathematicalandpracticalapproachtointerpretmidfrequencyoscillations[J].IEEETransactionsonDielectricandElectric Insulation, 2013, 20(6):1962-1970.
[9]MITCHELL S D, WELSH J S. Modeling power transformers to sup-porttheinterpretationoffrequency-responseanalysis[J].IEEETransactions on Power Delivery, 2011, 26(4):2705-2717.
[10]GHANIZADEHAJ,GHAREHPETIANGB.ANNandcross-correlation based features for discrimination between electricalandmechanicaldefectsandtheirlocalizationintransformerwind-ing[J].IEEETransactionsonDielectricsandElectricalInsulation,2014, 21(5):2374-2382.
[11]RAHIMPOURE,TENBOHLENS.Experimentalandtheoreticalinvestigation of disc space variation in real high-voltage windings us-ing transfer function method[J]. IET Electric Power Applications, 2010,4(6):451-461.
[12]RAHIMPOURE,GORZIND.Anewmethodforcomparingthetransferfunctionoftransformersinordertodetectthelocationandamountofwindingfaults[J].ElectricalEngineering,2006,88(5):411-416.
[13]RAHIMPOURE,JABBARIM,TENBOHLENS.Mathematicalcomparison methods to assess transfer functions of transformers to de-tectdifferenttypesofmechanicalfaults[J].IEEETransactionsonPower Delivery, 2010, 25(4):2544-2555.
[14]BIGDELIM,VAKILIANM,RAHIMPOURE,etal.Transformerwindingfaultsclassificationbasedontransferfunctionanalysisbysupportvectormachine[J].IETElectricPowerApplications,2012,6(5):268-276.
[15]SAMIMIMH,TENBOHLENS,AKMALAAS,etal.Usingthecomplexvaluesofthefrequencyresponsetoimprovepowertrans-formerdiagnostics[C]∥24thIranianConferenceonElectricalEngineering.[S.l.]:[s.n.], 2016:1689-1693.
[16]HASHEMNIA N, ABU-SIADA A, ISLAM S. Improved power trans-formerwindingfaultdetectionusingFRAdiagnosticspart1:axialdisplacementsimulation[J].IEEETransactionsonDielectricsandElectrical Insulation, 2015, 22(1):556-563.
[17]HASHEMNIA N, ABU-SIADA A, ISLAM S. Improved power trans-formerwindingfaultdetectionusingFRAdiagnosticspart2:radialdeformation simulation[J]. IEEE Transactions on Dielectrics and Elec-trical Insulation, 2015, 22(1):564-570.
[18]孙辉.快速灰度投影算法及其在电子稳像中的应用[J].光学精密工程,2007,15(3):412-416.SUN Hui. Fast gray projection algorithm and its application in elec-tronic image stabilization[J]. Optics and Precision Engineering, 2007,15(3):412-416.
[19]RAYENS W S. Discriminant analysis and statistical pattern recogni-tion[J]. Journal of the Royal Statistical Society, 2005, 168(3):635-636.
[2]BAGHERIM,NADERIMS,BLACKBURNT,etal.Frequencyresponse analysis and short-circuit impedance measurement in detec-tion of winding deformation within power transformers[J]. ElectricalInsulation Magazine, 2013, 29(3):33-40.
[3]DICK E P, ERVEN C C. Transformer diagnostic testing by frequuencyresponse analysis[J]. IEEE Transactions on Power Apparatus&Sys-tems, 1978, 97(6):2144-2153.
[4]YAO C, ZHAO Z, CHEN Y, et al. Transformer winding deformationdiagnostic system using online high frequency signal injection by ca-pacitivecoupling[J].IEEETransactionsonDielectrics&ElectricalInsulation, 2014, 21(4):1486-1492.
[5]张宁,朱永利,张蒙,等.基于VFTO特性的变压器绕组变形在线检测方法[J].华北电力大学学报,2016,43(5):8-13.ZHANG Ning, ZHU Yongli, ZHANG Meng, et al. On-line detectionmethod for transformer winding deformation based on characteristicsof VFTO[J]. Journal of North China Electric Power University, 2016,43(5):8-13.
[6]RYBEL T D, SINGH A, VANDERMAAR J A, et al. Apparatus foronline power transformer winding monitoring using bushing tap injec-tion[J]. IEEE Transactions on Power Delivery, 2009, 24(3):996-1003.
[7]桂峻峰,高文胜,谈克雄.用结构参数法研究变压器绕组变形判据[J].清华大学学报(自然科学版),2004,44(1):93-96.GUIJunfeng,GAOWensheng,TANKexiong.Criterionfortrans-formerwindingdeformationcalculatedbythestructuralparametermethod[J].JournalofTsinghuaUniversity(ScienceandTechnologyEdition), 2004, 44(1):93-96.
[8]BAGHERI M, PHUNG B T, BLACKBURN T. Transformer frequencyresponseanalysis:mathematicalandpracticalapproachtointerpretmidfrequencyoscillations[J].IEEETransactionsonDielectricandElectric Insulation, 2013, 20(6):1962-1970.
[9]MITCHELL S D, WELSH J S. Modeling power transformers to sup-porttheinterpretationoffrequency-responseanalysis[J].IEEETransactions on Power Delivery, 2011, 26(4):2705-2717.
[10]GHANIZADEHAJ,GHAREHPETIANGB.ANNandcross-correlation based features for discrimination between electricalandmechanicaldefectsandtheirlocalizationintransformerwind-ing[J].IEEETransactionsonDielectricsandElectricalInsulation,2014, 21(5):2374-2382.
[11]RAHIMPOURE,TENBOHLENS.Experimentalandtheoreticalinvestigation of disc space variation in real high-voltage windings us-ing transfer function method[J]. IET Electric Power Applications, 2010,4(6):451-461.
[12]RAHIMPOURE,GORZIND.Anewmethodforcomparingthetransferfunctionoftransformersinordertodetectthelocationandamountofwindingfaults[J].ElectricalEngineering,2006,88(5):411-416.
[13]RAHIMPOURE,JABBARIM,TENBOHLENS.Mathematicalcomparison methods to assess transfer functions of transformers to de-tectdifferenttypesofmechanicalfaults[J].IEEETransactionsonPower Delivery, 2010, 25(4):2544-2555.
[14]BIGDELIM,VAKILIANM,RAHIMPOURE,etal.Transformerwindingfaultsclassificationbasedontransferfunctionanalysisbysupportvectormachine[J].IETElectricPowerApplications,2012,6(5):268-276.
[15]SAMIMIMH,TENBOHLENS,AKMALAAS,etal.Usingthecomplexvaluesofthefrequencyresponsetoimprovepowertrans-formerdiagnostics[C]∥24thIranianConferenceonElectricalEngineering.[S.l.]:[s.n.], 2016:1689-1693.
[16]HASHEMNIA N, ABU-SIADA A, ISLAM S. Improved power trans-formerwindingfaultdetectionusingFRAdiagnosticspart1:axialdisplacementsimulation[J].IEEETransactionsonDielectricsandElectrical Insulation, 2015, 22(1):556-563.
[17]HASHEMNIA N, ABU-SIADA A, ISLAM S. Improved power trans-formerwindingfaultdetectionusingFRAdiagnosticspart2:radialdeformation simulation[J]. IEEE Transactions on Dielectrics and Elec-trical Insulation, 2015, 22(1):564-570.
[18]孙辉.快速灰度投影算法及其在电子稳像中的应用[J].光学精密工程,2007,15(3):412-416.SUN Hui. Fast gray projection algorithm and its application in elec-tronic image stabilization[J]. Optics and Precision Engineering, 2007,15(3):412-416.
[19]RAYENS W S. Discriminant analysis and statistical pattern recogni-tion[J]. Journal of the Royal Statistical Society, 2005, 168(3):635-636.