结合Tikhonov正则化的电压行波精确检测方法
|
摘要
为解决行波信号经过专用电压行波传感器传变后不能真实反映一次侧行波波形特征的问题,提出了一种结合Tikhonov正则化理论的电压行波精确检测方法。该方法选取集中参数传递函数模型作为专用电压行波传感器的正演传递模型,然后利用离散反卷积方法进行电压行波波形反演,并引入Tikhonov正则化理论解决反演过程中出现的病态问题,实现电压行波的精确检测。仿真和实验综合测试结果验证了该检测方法在微弱故障情况下能够有效可靠地检测行波信号,及其在不同故障情况下的适用性,有望促进行波保护技术的实用化。
The traveling wave form in secondary side cannot reflect true traveling wave characteristics in primary side after the traveling wave signal is transferred through voltage traveling wave sensor. In order to solve this problem, a voltage traveling wave accurate detection method based on Tikhonov regularization theory is proposed. In this method, a lumped parameter transfer function model is selected, and discrete deconvolution method is used to perform voltage wave inversion. In inversion process, Tikhonov regularization theory is introduced to solve the ill-posed problem during the inversion, and accurate detection of the voltage traveling wave is realized. Simulation and experimental results verify applicability of the proposed method in different fault conditions. It can detect traveling wave signal effectively and reliably even in the case of weak faults, and it is expected to promote practical application of traveling wave protection.
The traveling wave form in secondary side cannot reflect true traveling wave characteristics in primary side after the traveling wave signal is transferred through voltage traveling wave sensor. In order to solve this problem, a voltage traveling wave accurate detection method based on Tikhonov regularization theory is proposed. In this method, a lumped parameter transfer function model is selected, and discrete deconvolution method is used to perform voltage wave inversion. In inversion process, Tikhonov regularization theory is introduced to solve the ill-posed problem during the inversion, and accurate detection of the voltage traveling wave is realized. Simulation and experimental results verify applicability of the proposed method in different fault conditions. It can detect traveling wave signal effectively and reliably even in the case of weak faults, and it is expected to promote practical application of traveling wave protection.
引文
[1]王绍部,舒乃秋,龚庆武,等.计及TA传变特性的输电线路行波故障定位研究[J].中国电机工程学报,2006,26(2):88-92.Wang Shaobu,Shu Naiqiu,Gong Qingwu,et al.Study on traveling wave fault location reckoning with transfer characteristic of TA[J].Proceedings of the CSEE,2006,26(2):88-92(in Chinese).
[2]许飞,董新洲,王宾,等.考虑二次回路暂态传变特性的单端组合测距算法及其应用[J].中国电机工程学报,2015,35(20):5210-5219.Xu Fei,Dond Xinzhou,Wang Bin,et al.Single-ended assembled fault location method and application considering secondary circuit transfer characteristics[J].Proceedings of the CSEE,2015,35(20):5210-5219(in Chinese).
[3]姜博,董新洲,施慎行.基于单相电流行波的配电线路单相接地故障选线方法[J].中国电机工程学报,2014,34(34):6216-6227.Jiang Bo,Dong Xinzhou,Shi Shenxing.A method of single phase to ground fault feeder selection based on single phase current traveling wave for distribution lines[J].Proceedings of the CSEE,2014,34(34):6216-6227(in Chinese).
[4]曾祥君,刘正谊,屈明志,等.互感器暂态行波传输特性仿真分析与实验测试[J].长沙理工大学学报(自然科学版),2004,1(1):71-75.Zeng Xiangjun,Liu Zhengyi,Qu Mingzhi,et al.Simulative analysis and experimental test of the transmission characteristics of transient traveling-wave in transformer[J].Journal of Changsha University of Science and Technology(Natural Science Edition),2004,1(1):71-75(in Chinese).
[5]周超,何正友,罗国敏.电磁式电压互感器暂态仿真及行波传变特性分析[J].电网技术,2007,31(2):84-89.Zhou Chao,He Zhengyou,Luo Guomin.Transient simulation of electromagnetic potential transformer and analysis on its traveling wave transfer characteristics[J].Power System Technology,2007,31(2):84-89(in Chinese).
[6]甘磊,张哲,尹项根.基于电容式电压互感器二次信号的行波故障定位方法[J].电网技术,2006,30(5):101-105.Gan Lei,Zhang Zhe,Yin Xianggen.Travelling-wave fault location method based on secondary signal of CVT[J].Power system technology,2006,30(5):101-105(in Chinese).
[7]Valentinas D,Hans E.High-frequency model of the Rogowski coil with a small number of turns[J].IEEE Transactions on Instrumentation and Measurement,2007,56(6):2284-2288.
[8]向岷江.基于罗氏线圈的行波传变特性与应用技术研究[D].济南:山东大学,2013.
[9]李泽文,刘柏罕,范彩兄,等.基于Rogowski线圈的新型电压行波传感器[J].电力系统自动化,2016,40(9):94-99.Li Zewen,Liu Bohan,Fan Caixiong,et al.Rogowski coil based voltage traveling wave sensor[J].Automation of Electric Power Systems,2016,40(9):94-99(in Chinese).
[10]Bouhamidi A,Enkhbat R,Jbilou K.Conditional gradient Tikhonov method for a convex optimization problem in image restoration[J].Journal of Computational and Applied Mathematics,2014(255):580-592.
[11]吴彦霖.配电网故障波形反演及终端闭环检测技术研究[D].昆明:昆明理工大学,2016.
[12]张慧.求解线性离散不适定问题的改进Tikhonov算法[D].南京:南京航空航天大学,2015.
[13]许亿志.双指数函数拟合标准雷电波的改进方法[J].安全与电磁兼容,2013,25(4):69-72.Xu Yizhi.An improved method of double exponential function fitting standard lightning wave[J].Safety&EMC,2013,25(4):69-72(in Chinese).
[14]范春菊,姜军,郭煜华,等.输电线路行波故障测距技术的发展与应用[J].电力系统及其自动化学报,2017,29(4):129-134.Fan Chunju,Jiang Jun,Guo Yuhua,et al.Development and application of traveling wave fault location technology for transmission lines[J].Proceedings of the CSU-EPSA,2017,29(4):129-134(in Chinese).
[15]雷莉.基于小波能量谱的输电线路故障行波定位与保护方法[D].长沙:长沙理工大学,2007.
[16]高彬.基于时频分析的高压直流输电线路保护方法[D].成都:西南交通大学,2017.
[2]许飞,董新洲,王宾,等.考虑二次回路暂态传变特性的单端组合测距算法及其应用[J].中国电机工程学报,2015,35(20):5210-5219.Xu Fei,Dond Xinzhou,Wang Bin,et al.Single-ended assembled fault location method and application considering secondary circuit transfer characteristics[J].Proceedings of the CSEE,2015,35(20):5210-5219(in Chinese).
[3]姜博,董新洲,施慎行.基于单相电流行波的配电线路单相接地故障选线方法[J].中国电机工程学报,2014,34(34):6216-6227.Jiang Bo,Dong Xinzhou,Shi Shenxing.A method of single phase to ground fault feeder selection based on single phase current traveling wave for distribution lines[J].Proceedings of the CSEE,2014,34(34):6216-6227(in Chinese).
[4]曾祥君,刘正谊,屈明志,等.互感器暂态行波传输特性仿真分析与实验测试[J].长沙理工大学学报(自然科学版),2004,1(1):71-75.Zeng Xiangjun,Liu Zhengyi,Qu Mingzhi,et al.Simulative analysis and experimental test of the transmission characteristics of transient traveling-wave in transformer[J].Journal of Changsha University of Science and Technology(Natural Science Edition),2004,1(1):71-75(in Chinese).
[5]周超,何正友,罗国敏.电磁式电压互感器暂态仿真及行波传变特性分析[J].电网技术,2007,31(2):84-89.Zhou Chao,He Zhengyou,Luo Guomin.Transient simulation of electromagnetic potential transformer and analysis on its traveling wave transfer characteristics[J].Power System Technology,2007,31(2):84-89(in Chinese).
[6]甘磊,张哲,尹项根.基于电容式电压互感器二次信号的行波故障定位方法[J].电网技术,2006,30(5):101-105.Gan Lei,Zhang Zhe,Yin Xianggen.Travelling-wave fault location method based on secondary signal of CVT[J].Power system technology,2006,30(5):101-105(in Chinese).
[7]Valentinas D,Hans E.High-frequency model of the Rogowski coil with a small number of turns[J].IEEE Transactions on Instrumentation and Measurement,2007,56(6):2284-2288.
[8]向岷江.基于罗氏线圈的行波传变特性与应用技术研究[D].济南:山东大学,2013.
[9]李泽文,刘柏罕,范彩兄,等.基于Rogowski线圈的新型电压行波传感器[J].电力系统自动化,2016,40(9):94-99.Li Zewen,Liu Bohan,Fan Caixiong,et al.Rogowski coil based voltage traveling wave sensor[J].Automation of Electric Power Systems,2016,40(9):94-99(in Chinese).
[10]Bouhamidi A,Enkhbat R,Jbilou K.Conditional gradient Tikhonov method for a convex optimization problem in image restoration[J].Journal of Computational and Applied Mathematics,2014(255):580-592.
[11]吴彦霖.配电网故障波形反演及终端闭环检测技术研究[D].昆明:昆明理工大学,2016.
[12]张慧.求解线性离散不适定问题的改进Tikhonov算法[D].南京:南京航空航天大学,2015.
[13]许亿志.双指数函数拟合标准雷电波的改进方法[J].安全与电磁兼容,2013,25(4):69-72.Xu Yizhi.An improved method of double exponential function fitting standard lightning wave[J].Safety&EMC,2013,25(4):69-72(in Chinese).
[14]范春菊,姜军,郭煜华,等.输电线路行波故障测距技术的发展与应用[J].电力系统及其自动化学报,2017,29(4):129-134.Fan Chunju,Jiang Jun,Guo Yuhua,et al.Development and application of traveling wave fault location technology for transmission lines[J].Proceedings of the CSU-EPSA,2017,29(4):129-134(in Chinese).
[15]雷莉.基于小波能量谱的输电线路故障行波定位与保护方法[D].长沙:长沙理工大学,2007.
[16]高彬.基于时频分析的高压直流输电线路保护方法[D].成都:西南交通大学,2017.