基于正交试验的空心线圈偏心误差影响因素敏感性分析
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摘要
空心线圈偏心误差影响变电站保护、测量和计量单元功能的实现。为了研究偏心误差影响因素敏感性,建立线圈传感模型,计算理想情况下的线圈互感;针对绕组均匀和不均匀这2种情况,分析了互感和偏心距离、不均匀度、相对位置的关系,仿真结果表明如果载流体不偏心,则不均匀度不会影响偏心误差,否则偏心误差将随着各影响因素的变化而变化。提出基于正交试验法的影响因素敏感性评价方法,通过方差分析研究各影响因素的敏感程度,试验结果表明,各影响因素对偏心误差均有显著影响,其中偏心距离的影响程度最大,不均匀度的影响程度最小。
The eccentricity error of air-core coil affects the function realization of protection,measurement and metering units in substations. In order to study the sensitivity of eccentricity error's influencing factors,the sensing model of coil is established and the mutual inductance of coil in the ideal condition is calculated. The relationships between the mutual inductance and the eccentric distance,the inhomogeneity and the relative position are analyzed under the conditions of even windings and uneven windings. The simulative results show that,if the conductor is not deviating from the center,the inhomogeneity has no effects on the eccentricity error,otherwise,the error will vary with the change of each influencing factor. A sensitivity evaluation method of influencing factors is proposed based on the orthogonal test,which analyzes the sensitivity of each influencing factor by variance analysis. The results of tests show that the influencing factors all have significant effects on the eccentricity error,and the influence degree of the eccentric distance is the largest,while that of the inhomogeneity is the least.
The eccentricity error of air-core coil affects the function realization of protection,measurement and metering units in substations. In order to study the sensitivity of eccentricity error's influencing factors,the sensing model of coil is established and the mutual inductance of coil in the ideal condition is calculated. The relationships between the mutual inductance and the eccentric distance,the inhomogeneity and the relative position are analyzed under the conditions of even windings and uneven windings. The simulative results show that,if the conductor is not deviating from the center,the inhomogeneity has no effects on the eccentricity error,otherwise,the error will vary with the change of each influencing factor. A sensitivity evaluation method of influencing factors is proposed based on the orthogonal test,which analyzes the sensitivity of each influencing factor by variance analysis. The results of tests show that the influencing factors all have significant effects on the eccentricity error,and the influence degree of the eccentric distance is the largest,while that of the inhomogeneity is the least.
引文
[1]李振华,王忠东,卢树峰,等.基于空心线圈互感系数自校验原理的大电流校验系统[J].高电压技术,2014,40(8):2335-2342.LI Zhenhua,WANG Zhongdong,LU Shufeng,et al.Heavy current calibrtion system based on self-calibrating of mutual inductance of air-core coil[J].High Voltage Engineering,2014,40(8):2335-2342.
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[10]王黎明,贺旭.插板式PCB Rogowski线圈的计算与仿真[J].高电压技术,2013,39(5):1025-1033.WANG Liming,HE Xu.Calaculation and simulation of PCB-based Rogowski coil[J].High Voltage Engineering,2013,39(5):1025-1033.
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[12]王程远,陈幼平,张冈,等.PCB空心线圈位置误差分析与控制[J].中国电机工程学报,2008,28(15):103-108.WANG Chengyuan,CHEN Youping,ZHANG Gang,et al.Analysis and control on the position errors of PCB air-core coil[J].Proceedings of the CSEE,2008,28(15):103-108.
[13]MARRACCI M,TELLINI B,ZAPPACOSTA C,et al.Critical parameters for mutual inductance between Rogowski coil and primary conductor[J].IEEE Transactions on Instrumentation and Measurement,2011,60(2):625-632.
[14]FERKOVI C'L,ILI C'D,LENICˇEK I.Influence of axial inclination of the primary conductor on mutual inductance of a precise Rogowski coil[J].IEEE Transactions on Instrumentation and Measurement,2015,64(11):3045-3054.
[15]翟国富,梁慧敏,王嗥,等.基于正交试验设计的极化磁系统参数优化设计方法的研究[J].中国电机工程学报,2003,23(10):158-163.ZHAI Guofu,LIANG Huimin,WANG Hao,et al.Research on the parameters optium design of polarized magnetic system based on orthogonal design[J].Proceedings of the CSEE,2003,23(10):158-163.
[16]王其亚,翟国富,程贤科,等.基于正交试验设计的电磁继电器关键调整参数及优化方法[J].电工技术学报,2009,24(10):53-58.WANG Qiya,ZHAI Guofu,CHENG Xianke,et al.Key adjusted parameters and optium method of electromagnetic relay based on or-thogonal experimental design[J].Transactions of China Electrotechnological Society,2009,24(10):53-58.
[17]刘伟韬,刘士亮,姬保静.基于正交试验的底板破坏深度主控因素敏感性分析[J].煤炭学报,2015,40(9):1995-2001.LIU Weitao,LIU Shiliang,JI Baojing.Sensitivity analysis of controlling factors on failure depth of foor based on orthogonal experiment[J].Journal of China Coal Society,2015,40(9):1995-2001.
[18]韩小涛,黄澜涛,孙文文,等.基于PCB空心线圈和数字积分器的脉冲强磁场装置放电电流测量[J].电工技术学报,2012,27(12):13-19.HAN Xiaotao,HUANG Lantao,SUN Wenwen,et al.Discharge current measurement of pulsed high magnetic field facility based on PCB air-core coil and digital integrator[J].Transactions of China Electrotechnological Society,2012,27(12):13-19.
[19]程含渺,李红斌,陈刚,等.模拟量输入合并单元无同步信号校验技术[J].高电压技术,2016,42(7):2338-2344.CHENG Hanmiao,LI Hongbin,CHEN Gang,et al.Calibration technique in the absence of synchronization signals for merging unit with analogue input[J].High Voltage Engineering,2016,42(7):2338-2344.
[20]LUO P,LI H,LI Z.Two high accuracy digital integrators for Rogowski current transducers[J].Review of Scientific Instruments,2014,85(1):015102.
[21]ZHANG M,LI K,WANG J,et al.An on-site calibration system for electronic instrument transformers based on Lab VIEW[J].Metrology and Measurement Systems,2014,21(2):257-270.
[2]王永强,谢军,律方成,等.基于复合积分罗氏线圈的过电压监测方法[J].电网技术,2015,39(5):1450-1455.WANG Yongqiang,XIE Jun,LFangcheng,et al.An overvoltage monitoring method based on composite integral Rogowski coil[J].Power System Technology,2015,39(5):1450-1455.
[3]刘志恒,段雄英,廖敏夫,等.罗氏线圈电子式电流互感器积分特性研究[J].电力自动化设备,2017,37(3):191-196.LIU Zhiheng,DUAN Xiongying,LIAO Minfu,et al.Reserach on integral characteristic of ECT with Rogowski coil[J].Electric Power Automation Equipment,2017,37(3):191-196.
[4]RAMBOZ J D.Machinable Rogowski coil,design,and calibration[J].IEEE Transactions on Instrumentation and Measurement,1996,45(2):511-515.
[5]SAMIMI M H,MAHARI A,FARAHNAKIAN M A,et al.The Rogowski coil principles and applications:a review[J].IEEE Sensors Journal,2015,15(2):651-658.
[6]何瑞文,蔡泽祥,王奕,等.空心线圈电流互感器传变特性及其对继电保护的适应性分析[J].电网技术,2013,37(5):1471-1476.HE Ruiwen,CAI Zexiang,WANG Yi,et al.Analysis on transfer characteristics of air-core current transformer and its adaptability to relay protection[J].Power System Technology,2013,37(5):1471-1476.
[7]RAY W F,HEWSON C R.High performance Rogowski current transducers[C]∥Conference Record of the 2000 IEEE Industry Applications Conference.Rome,Italy:IEEE,2000:3083-3090.
[8]LUO P,LI Z,LI H,et al.A high-current calibration system based on indirect comparison of current transformer and Rogowski coil[J].Measurement Science&Technology,2013,52(24):5005.
[9]池立江,刘伟,冉允喜.一次导体偏心对罗氏线圈的干扰研究[J].高压电器,2014,50(1):67-71.CHI Lijiang,LIU Wei,RAN Yunxi.Research on the interference of primary conductor accentricity to the Rogowski coil[J].High Voltage Appartus,2014,50(1):67-71.
[10]王黎明,贺旭.插板式PCB Rogowski线圈的计算与仿真[J].高电压技术,2013,39(5):1025-1033.WANG Liming,HE Xu.Calaculation and simulation of PCB-based Rogowski coil[J].High Voltage Engineering,2013,39(5):1025-1033.
[11]FERKOVI C'L,ILI C'D,MALARIC R.Mutual inductance of a precise Rogowski coil in dependence of the position of primary conductor[J].IEEE Transactions on Instrumentation and Measurement,2009,58(1):122-128.
[12]王程远,陈幼平,张冈,等.PCB空心线圈位置误差分析与控制[J].中国电机工程学报,2008,28(15):103-108.WANG Chengyuan,CHEN Youping,ZHANG Gang,et al.Analysis and control on the position errors of PCB air-core coil[J].Proceedings of the CSEE,2008,28(15):103-108.
[13]MARRACCI M,TELLINI B,ZAPPACOSTA C,et al.Critical parameters for mutual inductance between Rogowski coil and primary conductor[J].IEEE Transactions on Instrumentation and Measurement,2011,60(2):625-632.
[14]FERKOVI C'L,ILI C'D,LENICˇEK I.Influence of axial inclination of the primary conductor on mutual inductance of a precise Rogowski coil[J].IEEE Transactions on Instrumentation and Measurement,2015,64(11):3045-3054.
[15]翟国富,梁慧敏,王嗥,等.基于正交试验设计的极化磁系统参数优化设计方法的研究[J].中国电机工程学报,2003,23(10):158-163.ZHAI Guofu,LIANG Huimin,WANG Hao,et al.Research on the parameters optium design of polarized magnetic system based on orthogonal design[J].Proceedings of the CSEE,2003,23(10):158-163.
[16]王其亚,翟国富,程贤科,等.基于正交试验设计的电磁继电器关键调整参数及优化方法[J].电工技术学报,2009,24(10):53-58.WANG Qiya,ZHAI Guofu,CHENG Xianke,et al.Key adjusted parameters and optium method of electromagnetic relay based on or-thogonal experimental design[J].Transactions of China Electrotechnological Society,2009,24(10):53-58.
[17]刘伟韬,刘士亮,姬保静.基于正交试验的底板破坏深度主控因素敏感性分析[J].煤炭学报,2015,40(9):1995-2001.LIU Weitao,LIU Shiliang,JI Baojing.Sensitivity analysis of controlling factors on failure depth of foor based on orthogonal experiment[J].Journal of China Coal Society,2015,40(9):1995-2001.
[18]韩小涛,黄澜涛,孙文文,等.基于PCB空心线圈和数字积分器的脉冲强磁场装置放电电流测量[J].电工技术学报,2012,27(12):13-19.HAN Xiaotao,HUANG Lantao,SUN Wenwen,et al.Discharge current measurement of pulsed high magnetic field facility based on PCB air-core coil and digital integrator[J].Transactions of China Electrotechnological Society,2012,27(12):13-19.
[19]程含渺,李红斌,陈刚,等.模拟量输入合并单元无同步信号校验技术[J].高电压技术,2016,42(7):2338-2344.CHENG Hanmiao,LI Hongbin,CHEN Gang,et al.Calibration technique in the absence of synchronization signals for merging unit with analogue input[J].High Voltage Engineering,2016,42(7):2338-2344.
[20]LUO P,LI H,LI Z.Two high accuracy digital integrators for Rogowski current transducers[J].Review of Scientific Instruments,2014,85(1):015102.
[21]ZHANG M,LI K,WANG J,et al.An on-site calibration system for electronic instrument transformers based on Lab VIEW[J].Metrology and Measurement Systems,2014,21(2):257-270.
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