考虑层间效应的复磁导率铁芯频变模型
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摘要
现有变压器铁芯模型的建立通常未能充分考虑层间效应的影响,针对该问题,建立了考虑层间效应的铁芯复磁导率2维模型,推导了基于该复磁导率的铁芯频变阻抗表达式。在此基础上应用改进矢量匹配法对铁芯频变阻抗表达式进行了有理函数逼近,然后应用电路综合方法建立了铁芯的6阶Foster电路模型。将所建模型与未考虑层间效应的复磁导率一维模型进行了对比分析,结果表明:考虑层间效应的2维模型所得阻抗值相比一维模型所得阻抗值要低,根据铁芯参数不同,其差值约为1.3%～4%。因此,建模时有必要考虑层间效应。论文研究为基于FRA的变压器绕组准确建模打下了基础,同时也可为变压器宽频建模提供参考。
The establishment of the existing transformer core model usually fails to fully consider the influence of the interlaminar effects. In order to solve this problem in transformer modeling, the influence of interlaminar effects on the complex permeability of the iron core was considered, and a two-dimensional model of the complex permeability of the iron core based on the Interlaminar effects was established. The modified vector fitting was used to fit the iron core frequency-dependent impedance expression. Then, a six-step Foster circuit model of the core is established by applying a circuit synthesis method, and it was compared with the one-dimension model of the complex permeability. The results show that the impedance value obtained by two-dimensional model considering the interlaminar effects is lower than that obtained by one-dimension model, the difference is about 1.3%～4% depending on the parameters of different cores.Therefore, it is necessary to consider the interlaminar effects in modeling. This paper lays the foundation for the accurate modeling of transformer winding based on FRA, and it also provides a reference for wideband modeling of transformers.
The establishment of the existing transformer core model usually fails to fully consider the influence of the interlaminar effects. In order to solve this problem in transformer modeling, the influence of interlaminar effects on the complex permeability of the iron core was considered, and a two-dimensional model of the complex permeability of the iron core based on the Interlaminar effects was established. The modified vector fitting was used to fit the iron core frequency-dependent impedance expression. Then, a six-step Foster circuit model of the core is established by applying a circuit synthesis method, and it was compared with the one-dimension model of the complex permeability. The results show that the impedance value obtained by two-dimensional model considering the interlaminar effects is lower than that obtained by one-dimension model, the difference is about 1.3%～4% depending on the parameters of different cores.Therefore, it is necessary to consider the interlaminar effects in modeling. This paper lays the foundation for the accurate modeling of transformer winding based on FRA, and it also provides a reference for wideband modeling of transformers.
引文
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[15]张重远,王增超,张欣,等.基于改进矢量匹配法的变压器铁芯频变涡流模型[J].高电压技术,2015,41(5):1618-1623.ZHANG Zhongyuan,WANG Zengchao,ZHANG Xin,et al.Transformer core modeling for frequency dependent eddy current based on modified vector fitting[J].High Voltage Engineering,2015,41(5):1618-1623.
[16]NOGAWA1 S,KUWATA1 M,NAKAU T,et al.Study of modeling method of lamination of reactor core[J].IEEE Transactions on Magnetics,2006,42(4):1455-1458.
[17]MITCHELL S D,WELSH J S.The influence of complex permeability on the broadband frequency response of a power transformer[J].IEEETransactions on Power Delivery,2010,25(2):803-813.
[18]BJERKAN E.High frequency modeling of power transformers:stresses and diagnostics[J].Department of Electrical Power Engineering,2005.
[19]FERGESTAD P I,HENRIKSEN T.Transient oscillations in multiwinding transformers[J].IEEE Transactions on Power Apparatus&Systems,1974,93(2):500-509.
[20]GUSTAVSEN B.Improving the pole relocating properties of vector fitting[J].IEEE Transactions on Power Delivery,2006,21(3):1587-1592.
[2]沈硕,刘娆,李晓萌,等.基于简化导纳矩阵的快速频率响应分析方法[J].高电压技术,2018,44(10):3284-3290.SHEN Shuo,LIU Rao,LI Xiaomeng,et al.Fast frequency response analysis based on reduced admittance matrix[J].High Voltage Engineering,2018,44(10):3284-3290.
[3]SHIGEMITSU O,MASANORI K,GENYO U.Development of high frequency circuit model for oil-immersed power transformers and its application for lightning surge analysis[J].IEEE Transactions on Dielectrics and Electrical Insulation,2011,18(2):541-552.
[4]钱国超,王丰华,王劭菁,等.大型变压器绕组振动频响特性的试验研究[J].高电压技术,2018,44(3):821-826.QIAN Guochao,WANG Fenghua,WANG Shaojing,et al.Experimental research of vibration frequency response features of transformer winding[J].High Voltage Engineering,2018,44(3):821-826.
[5]NASIRI-ZARANDI R,MIRSALIM M.Finite-element analysis of an axial flux hysteresis motor based on a complex permeability concept considering the saturation of the hysteresis loop[J].IEEE Transactions on Industry Applications,2015,52(2):1390-1397.
[6]XU W,WANG Y.Two dimensional(2D)complex permeability characterization of thin film ferromagnetic material[C]∥Antenna Measurements&Applications.Syracuse,USA:IEEE,2017:1-4.
[7]CUELLAR C,TAN W,MARGUERON X,et al.Measurement method of the complex magnetic permeability of ferrites in high frequency[C]∥Instrumentation and Measurement Technology Conference.Graz,Austria:IEEE,2012:63-68.
[8]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 and development of test and diagnostic technique of transformer winding deformation[J].High Voltage Engineering,2016,42(4):1207-1220.
[9]TANG W H,SHINTEMIROV A,WU Q H.Detection of minor winding deformation fault in high frequency range for power transformer[C]∥Power and Energy Society General Meeting.Providence,USA:IEEE,2010:1-6.
[10]ABEYWICKRAMA K G,NILANGA B,DASZCZYNSKI T,et al.Determination of complex permeability of silicon steel for use in high-frequency modeling of power transformers[J].IEEE Transactions on Magnetics,2008,44(4):438-444.
[11]NILANGA K G,PODOLTSEV A D,SERDYUK Y V,et al.Infuence of core characteristics on inductance calculations for modeling of power transformers[C]∥International Conference on Industrial and Information Systems.Peradeniya,Sri Lanka:IEEE,2006:24-29.
[12]ABEYWICKRAMA K G,NILANGA B,DASZCZYNSKI T,et al.Determination of complex permeability of silicon steel for use in high-frequency modeling of power transformers[J].IEEE Transactions on Magnetics,2008,44(4):438-444.
[13]MITCHELL S D,WELSH J S.Modeling power transformers to support the interpretation of frequency-response analysis[J].IEEETransactions on Power Delivery,2011,26(4):2705-2717.
[14]张重远,王彦波,张林康,等.基于NICS脉冲信号注入法的变压器绕组变形在线监测装置研究[J].高电压技术,2015,41(7):2259-2267.ZHANG Zhongyuan,WANG Yanbo,ZHANG Linkang,et al.Research on an online monitoring device for transformer winding deformation using NICS pulse injection method[J].High Voltage Engineering,2015,41(7):2259-2267.
[15]张重远,王增超,张欣,等.基于改进矢量匹配法的变压器铁芯频变涡流模型[J].高电压技术,2015,41(5):1618-1623.ZHANG Zhongyuan,WANG Zengchao,ZHANG Xin,et al.Transformer core modeling for frequency dependent eddy current based on modified vector fitting[J].High Voltage Engineering,2015,41(5):1618-1623.
[16]NOGAWA1 S,KUWATA1 M,NAKAU T,et al.Study of modeling method of lamination of reactor core[J].IEEE Transactions on Magnetics,2006,42(4):1455-1458.
[17]MITCHELL S D,WELSH J S.The influence of complex permeability on the broadband frequency response of a power transformer[J].IEEETransactions on Power Delivery,2010,25(2):803-813.
[18]BJERKAN E.High frequency modeling of power transformers:stresses and diagnostics[J].Department of Electrical Power Engineering,2005.
[19]FERGESTAD P I,HENRIKSEN T.Transient oscillations in multiwinding transformers[J].IEEE Transactions on Power Apparatus&Systems,1974,93(2):500-509.
[20]GUSTAVSEN B.Improving the pole relocating properties of vector fitting[J].IEEE Transactions on Power Delivery,2006,21(3):1587-1592.