非均匀空心线圈偏心误差建模研究
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摘要
空心线圈的偏心误差关乎智能变电站的安全稳定运行以及电能的可靠计量。以往研究多集中于均匀空心线圈的偏心误差,对非均匀空心线圈的偏心误差研究不够深入。文中建立均匀和非均匀空心线圈的偏心误差模型,分析了互感系数和偏心距离、不均匀度、相对位置以及线圈结构等影响因素的关系,仿真结果表明了当载流体不偏心时,不均匀度不会影响偏心误差;当载流体偏心达到线圈内径的1/4时,不均匀度仅有0. 5°时便足以造成10%的互感系数误差。对3个不同参数的空心线圈进行了准确度试验,试验结果表明当偏心距离小于4 mm,空心线圈比差不超过0. 2%。偏心距离变化至16 mm,空心线圈比差的将超过了1%。空心线圈的角差不受偏心距离的影响。
Eccentricity error of air-core coil is of great importance to the stability and safety of smart substations,as well as the reliable metering of electrical energy. Previous research has been mostly conducted on air-core coil with even turns.On the contrary,few studies have been done on air-core coil with uneven turns. This paper modeled the eccentricity error of air-core coil with even turns and uneven turns respectively. The relationships between the mutual inductance and offcenter distance,inhomogeneity,relative position,and geometrical parameters were examined. The simulation results show that the eccentricity error will not be influenced by the inhomogeneity when the current-carrying conductor is centered.However,the error will be up to 10% under the condition of 0. 5° inhomogeneity and off-center distance of one quarter of coil inner radius. The experiments on the accuracy of three designed air-core coils with respect to off-center distance were carried out. The experimental results show that when the off-center distance is less than 4 mm,the ratio error will be less than 0. 2%. And when the distance reaches 16 mm,the error will exceed 1% to 32 mm. On the other hand,the phase difference remains almost unchanged during the experiments.
Eccentricity error of air-core coil is of great importance to the stability and safety of smart substations,as well as the reliable metering of electrical energy. Previous research has been mostly conducted on air-core coil with even turns.On the contrary,few studies have been done on air-core coil with uneven turns. This paper modeled the eccentricity error of air-core coil with even turns and uneven turns respectively. The relationships between the mutual inductance and offcenter distance,inhomogeneity,relative position,and geometrical parameters were examined. The simulation results show that the eccentricity error will not be influenced by the inhomogeneity when the current-carrying conductor is centered.However,the error will be up to 10% under the condition of 0. 5° inhomogeneity and off-center distance of one quarter of coil inner radius. The experiments on the accuracy of three designed air-core coils with respect to off-center distance were carried out. The experimental results show that when the off-center distance is less than 4 mm,the ratio error will be less than 0. 2%. And when the distance reaches 16 mm,the error will exceed 1% to 32 mm. On the other hand,the phase difference remains almost unchanged during the experiments.
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 calibration system based on self-calibration of mutual inductance of air-core coil[J]. High Voltage Engineering,2014,40(8):2335-2342.
[2]何瑞文,吕梦丽,蔡泽祥.适应继电保护暂态传变的空心线圈电流互感器积分技术研究[J].电测与仪表,2015,52(13):48-55.He Ruiwen,Lv Mengli,Cai Zhexiang. Research on the integral technology of the air-core current transformer applicable to relay protection transient transmission[J]. Electrical Measurement&Instrumentation,2015,52(13):48-55.
[3]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 transformer and its adaptability to relay protection[J]. Power System Technology,2013,37(5):1471-1476.
[4]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.
[5]罗苏南,田朝勃,赵希才.空心线圈电流互感器性能分析[J].中国电机工程学报,2004,24(3):113-118.Luo Sunan,Tian Chaobo,Zhao Xicai. Performance analysis of air-core current transformer[J]. Proceedings of the CSEE,2004,24(3):113-118.
[6]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(05):1025-1033.
[7] Chen Q,Li H B,Zhang M M,et al. Design and characteristics of two Rogowski coils based on printed circuit board[J]. IEEE Transactions on Instrumentation&Measurement,2006,55(3):939-943.
[8]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,Liui Wei,Ran Yunxi. Research on the interference of primary conductor eccentricity to the Rogowski coil[J]. High Voltage Appartus,2014,50(1):67-71.
[9]徐嘉龙,祝郦伟,王晓宇,等.基于多层可级联PCB空心线圈的磁场测量单元设计[J/OL].高压电器,2016,52(11):81-87.
[10]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.
[11]吴涛,周有庆,龚伟.采用PCB平面型空心线圈的电子式电流互感器性能分析[J].电网技术,2010,34(6):210-214.Wu Tao,Zhou Youqing,Gong Wei. Performance analysis on electronic current transformer based on PCB planar-type of air-core coil[J]. Power System Technology,2010,34(6):210-214.
[12]Luo P,Li H,Li Z. Two high accuracy digital integrators for Rogowski current transducers[J]. Review of Scientific Instruments,2014,85(01):015102.
[13]汪建,戴原骁. Rogowski线圈数字积分器的直流误差消除方法研究[J].电测与仪表,2016,53(24):80-86.Wang Jian,Dai Yuanxiao. Research on DC error elimination method of Rogowski coil digital integrator[J]. Electrical Measurement&Instrumentation,2016,53(24):80-86.
[14]姚东晓,吕利娟,倪传坤,等.应用于空心线圈电子式互感器的双环数字积分器设计[J].电力系统自动化,2016,40(6):96-100.Yao Dongxiao,Lv Lijuan,Ni Chuankun,et al. Dual loop digital integrator design for Rogowski coil electronic transformer[J]. Automation of Electric Power Systems,2016,40(6):96-100.
[15]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.
[16]范洁,程含渺,季欣荣,等.基于时间数字转换器的数字输出电子式互感器校验系统[J].电力自动化设备,2014,34(10):164-168.
[2]何瑞文,吕梦丽,蔡泽祥.适应继电保护暂态传变的空心线圈电流互感器积分技术研究[J].电测与仪表,2015,52(13):48-55.He Ruiwen,Lv Mengli,Cai Zhexiang. Research on the integral technology of the air-core current transformer applicable to relay protection transient transmission[J]. Electrical Measurement&Instrumentation,2015,52(13):48-55.
[3]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 transformer and its adaptability to relay protection[J]. Power System Technology,2013,37(5):1471-1476.
[4]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.
[5]罗苏南,田朝勃,赵希才.空心线圈电流互感器性能分析[J].中国电机工程学报,2004,24(3):113-118.Luo Sunan,Tian Chaobo,Zhao Xicai. Performance analysis of air-core current transformer[J]. Proceedings of the CSEE,2004,24(3):113-118.
[6]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(05):1025-1033.
[7] Chen Q,Li H B,Zhang M M,et al. Design and characteristics of two Rogowski coils based on printed circuit board[J]. IEEE Transactions on Instrumentation&Measurement,2006,55(3):939-943.
[8]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,Liui Wei,Ran Yunxi. Research on the interference of primary conductor eccentricity to the Rogowski coil[J]. High Voltage Appartus,2014,50(1):67-71.
[9]徐嘉龙,祝郦伟,王晓宇,等.基于多层可级联PCB空心线圈的磁场测量单元设计[J/OL].高压电器,2016,52(11):81-87.
[10]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.
[11]吴涛,周有庆,龚伟.采用PCB平面型空心线圈的电子式电流互感器性能分析[J].电网技术,2010,34(6):210-214.Wu Tao,Zhou Youqing,Gong Wei. Performance analysis on electronic current transformer based on PCB planar-type of air-core coil[J]. Power System Technology,2010,34(6):210-214.
[12]Luo P,Li H,Li Z. Two high accuracy digital integrators for Rogowski current transducers[J]. Review of Scientific Instruments,2014,85(01):015102.
[13]汪建,戴原骁. Rogowski线圈数字积分器的直流误差消除方法研究[J].电测与仪表,2016,53(24):80-86.Wang Jian,Dai Yuanxiao. Research on DC error elimination method of Rogowski coil digital integrator[J]. Electrical Measurement&Instrumentation,2016,53(24):80-86.
[14]姚东晓,吕利娟,倪传坤,等.应用于空心线圈电子式互感器的双环数字积分器设计[J].电力系统自动化,2016,40(6):96-100.Yao Dongxiao,Lv Lijuan,Ni Chuankun,et al. Dual loop digital integrator design for Rogowski coil electronic transformer[J]. Automation of Electric Power Systems,2016,40(6):96-100.
[15]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.
[16]范洁,程含渺,季欣荣,等.基于时间数字转换器的数字输出电子式互感器校验系统[J].电力自动化设备,2014,34(10):164-168.