磁阀式可控电抗器磁化特性研究
|
摘要
磁阀式可控电抗器(MCR)的磁化特性是其理论计算的基础。通过对MCR工作特性的分析,首先基于MATLAB/cftool提出了一种用来描述MCR铁磁材料磁化特性的高精度拟合函数。结果发现,由于磁阀的存在,使得所提出的高精度拟合函数以及目前学者们所研究的具有相对高精度的拟合函数都没法应用到MCR磁化特性的求解之中。基于此,又提出了一种形式简单、精度较高的拟合函数。并求解了基于理想小斜率和基于该拟合函数的具有单级磁阀、双级磁阀和连续磁阀的MCR磁化特性。最后通过与实验数据的比较,发现该拟合函数不仅能够非常好的逼近铁磁材料的磁化曲线,而且基于该拟合函数求得的MCR的磁化曲线更贴近其实际磁化曲线,验证了理论分析的正确性。
The magnetization characteristic is foundation of theoretical calculation for magnetic-valve controllable reactor(MCR). Firstly, a higher-precision fitting function based on MATLAB/cftool is proposed by analyzing the mechanism of MCR, which is used for describing the magnetization characteristic of ferromagnetic material of MCR. It is found that higher-precision fitting function proposed by this paper and relatively high-accuracy fitting functions researched by scholars can hardly apply in solving magnetization characteristic of MCR due to the existence of magnetic-valve. According to the analysis above, a simple form and high precision fitting function is presented. And then deduce the magnetization characteristics of MCR with single-stage magnetic-valve, two-stage magnetic-valve and continuous magnetic-valve based on the fitting function and ideal small slope. Finally, comparing with experiment data is found that the fitting function can not only approximating the magnetization curve of ferromagnetic material very well, but also the magnetization curves of MCR solved based on the fitting function be closer to its actual magnetization curves, which confirm theoretical analysis.
The magnetization characteristic is foundation of theoretical calculation for magnetic-valve controllable reactor(MCR). Firstly, a higher-precision fitting function based on MATLAB/cftool is proposed by analyzing the mechanism of MCR, which is used for describing the magnetization characteristic of ferromagnetic material of MCR. It is found that higher-precision fitting function proposed by this paper and relatively high-accuracy fitting functions researched by scholars can hardly apply in solving magnetization characteristic of MCR due to the existence of magnetic-valve. According to the analysis above, a simple form and high precision fitting function is presented. And then deduce the magnetization characteristics of MCR with single-stage magnetic-valve, two-stage magnetic-valve and continuous magnetic-valve based on the fitting function and ideal small slope. Finally, comparing with experiment data is found that the fitting function can not only approximating the magnetization curve of ferromagnetic material very well, but also the magnetization curves of MCR solved based on the fitting function be closer to its actual magnetization curves, which confirm theoretical analysis.
引文
[1] CORZINE K A, KUHN T, SUDHOFF S D, et al. An improved method for incorporating magnetic saturation in the Q-D synchronous machine model[J]. IEEE Transactions on Energy Conversion, 1998,13(3):270-275.
[2] AYYADURAI P, PADMANABHAN S, ARULANANTHA P P. Modeling current transformer behavior using curve-fitting via optimization[C]//Intemational Symposium on Fundamentals of Electrical Engineering. Bucharest:IEEE,2014:1-6.
[3]潘超,王梦纯,蔡国伟,等.变压器直流偏磁场路耦合计算中的磁化曲线拟合[J].电力自动化设备,2014,34(4):49-52.PAN Chao, WANG Mengchun, CAI Guowei,et al. Magnetization curve fitting in field-circuit coupling computation for DC-biased transformer[J]. Electric Power Automation Equipment, 2014, 34(4):49-52.
[4]郑文.曲线拟合[D].重庆:西南大学,2008.ZHENG Wen. On the fitting of a curve[D]. Chongqing:Southwest University, 2008.
[5]张正辉.磁化曲线的拟合[J].微电机,1983,4(7):27-33.ZHANG Zhenghui. Fitting of magnetization curve[J]. Micromotors, 1983,4(7):27-33.
[6] WU Q H, CUI Z Z, LI L. Research on application of interpolation and fitting method in magnetization curve numeralization[C]//International Conference on Intelligent Control&Information Processing. Harbin:IEEE,2011:1076-1078.
[7]雷晰,邓占峰,徐桂芝,等.磁控型可控并联电抗器研究与实践[J].中国电机工程学报,2014, 34(20):225-231.LEI Xi, DENG Zhanfeng, XU Guizhi, et al. Research and practice of magnetically controlled shunt reactor[J]. Pro-ceedings of the CSEE,2014,34(20):225-231.
[8]田翠华,陈柏超.低谐波双级饱和磁控电抗器研究[J].电工技术学报,2006, 21(1):19-23.TIAN Cuihua, CHEN Baichao. Study of low distortion twostage saturable magnetically controlled reactor[J]. Transactions of China Electrotechnical Society,2006,21(1):19-23.
[9]徐杰,刘在祥,洪乃刚.低谐波双级饱和叠形磁控电抗器[J].高电压技术,2008, 34(4):816-819.XU Jie, LIU Zaixiang, HONG Naigang. Analysis of low distortion two-stage saturation combine type magnetically controlled reactor[J]. High Voltage Engineering, 2008, 34(4):816-819.
[10]陈绪轩,田翠华,陈柏超,等.多级饱和磁阀式可控电抗器谐波分析数学模型[J].电工技术学报,2011,26(3):57-64.CHEN Xuxuan,TIAN Cuihua, CHEN Baichao, et al. Mathematical model for harmonics analysis of the multi-stage saturable magnetic-valve controllable reactor[J]. Transactions of China Electrotechnical Society, 2011, 26(3):57-64.
[11]王异凡,陈国柱,张曙.一种连续磁阀式消弧线圈及其数学模型[J].电工技术学报,2014, 29(5):239-245.WANG Yifan,CHEN Guozhu, ZHANG Shu. A continuously magnetic valve arc-suppression coil and its modeling[J].Transactions of China Electrotechnical Society, 2014, 29(5):239-245.
[12]石鹏太,田铭兴,王兴龙.连续饱和型磁控电抗器数学模型及谐波的数值计算[J].高压电器,2015,51(7):20-25.SHI Pengtai,TIAN Mingxing, WANG Xinglong. Mathematical model and harmonics numerical calculation of continuous saturable magnetic-valve controllable reactor[J]. High Voltage Apparatus, 2015,51(7):20-25.
[13] CHEN B, KOKERNAK J. Thyristor controlled two-stage magnetic-valve reactor for dynamic var-compensation in electric railway power supply systems[C]//IEEE Applied Power Electronics Conference&Exposition. New Orleans, LA:IEEE,2000:1066-1072.
[14]田铭兴,石鹏太,马亚珍.n级饱和磁阀式可控电抗器结构特性和仿真方法[J].电力自动化设备,2016,36(2):95-101.TIAN Mingxing, SHI Pengtai, MA Yazhen. Structural prop-erty and simulation method of n-stage saturable magneticvalve controllable reactor[J]. Electric Power Automation Equipment, 2016,36(2):95-101.
[15]汤蕴璆,罗应立,梁艳萍.电机学[M].北京:机械工业出版社,2008:16-21.TANG Yunzhang,LUO Yingli,LIANG Yanping. Electromechanics[M]. Beijing:Machinery Industry Press, 2008:16-21.
[16] SANDEEP V, MURTHY S S. SINGH B. A comparative study on approaches to curve fitting of magnetization characteristics for induction generators[C]//IEEE International Conference on Power Electronics.Bengaluru:IEEE, 2012:1-6.
[17] TANG Q, WANG Z D, ANDERSON P I, et al. Approximation and prediction of ac magnetization curves for power transformer core analysis[J]. IEEE Transactions on Magnetics, 2015, 51(5):1-8.
[18]尹忠东.磁阀式可控电抗器的理论研究及应用[D].武汉:武汉水利电力大学,1997.YIN Zhongdong. Research on the theories and applications of magnetic valve controllable reactor[D]. Wuhan:Wuhan University of Hydraulic and Electric Engineering.
[19] CHEN X X, CHEN B C, TIAN C H, et al. Modeling and harmonic optimization of a two-stage saturable magnetically controlled reactor for an arc suppression coil[J]. IEEE Transactions on Industrial Electronics,2012, 59(7):2824-2831.
[20]陈绪轩,陈柏超,田翠华,等.双级饱和磁控电抗器谐波抑制优化技术[J].电工技术学报,2011, 31(5):71-75.CHEN Xuxuan, CHEN Baichao, TIAN Cuihua, et al.Optimization technique of harmonic suppression for TSMCR[J]. Electrical Power Automation Equipment, 2011,31(5):71-75.
[2] AYYADURAI P, PADMANABHAN S, ARULANANTHA P P. Modeling current transformer behavior using curve-fitting via optimization[C]//Intemational Symposium on Fundamentals of Electrical Engineering. Bucharest:IEEE,2014:1-6.
[3]潘超,王梦纯,蔡国伟,等.变压器直流偏磁场路耦合计算中的磁化曲线拟合[J].电力自动化设备,2014,34(4):49-52.PAN Chao, WANG Mengchun, CAI Guowei,et al. Magnetization curve fitting in field-circuit coupling computation for DC-biased transformer[J]. Electric Power Automation Equipment, 2014, 34(4):49-52.
[4]郑文.曲线拟合[D].重庆:西南大学,2008.ZHENG Wen. On the fitting of a curve[D]. Chongqing:Southwest University, 2008.
[5]张正辉.磁化曲线的拟合[J].微电机,1983,4(7):27-33.ZHANG Zhenghui. Fitting of magnetization curve[J]. Micromotors, 1983,4(7):27-33.
[6] WU Q H, CUI Z Z, LI L. Research on application of interpolation and fitting method in magnetization curve numeralization[C]//International Conference on Intelligent Control&Information Processing. Harbin:IEEE,2011:1076-1078.
[7]雷晰,邓占峰,徐桂芝,等.磁控型可控并联电抗器研究与实践[J].中国电机工程学报,2014, 34(20):225-231.LEI Xi, DENG Zhanfeng, XU Guizhi, et al. Research and practice of magnetically controlled shunt reactor[J]. Pro-ceedings of the CSEE,2014,34(20):225-231.
[8]田翠华,陈柏超.低谐波双级饱和磁控电抗器研究[J].电工技术学报,2006, 21(1):19-23.TIAN Cuihua, CHEN Baichao. Study of low distortion twostage saturable magnetically controlled reactor[J]. Transactions of China Electrotechnical Society,2006,21(1):19-23.
[9]徐杰,刘在祥,洪乃刚.低谐波双级饱和叠形磁控电抗器[J].高电压技术,2008, 34(4):816-819.XU Jie, LIU Zaixiang, HONG Naigang. Analysis of low distortion two-stage saturation combine type magnetically controlled reactor[J]. High Voltage Engineering, 2008, 34(4):816-819.
[10]陈绪轩,田翠华,陈柏超,等.多级饱和磁阀式可控电抗器谐波分析数学模型[J].电工技术学报,2011,26(3):57-64.CHEN Xuxuan,TIAN Cuihua, CHEN Baichao, et al. Mathematical model for harmonics analysis of the multi-stage saturable magnetic-valve controllable reactor[J]. Transactions of China Electrotechnical Society, 2011, 26(3):57-64.
[11]王异凡,陈国柱,张曙.一种连续磁阀式消弧线圈及其数学模型[J].电工技术学报,2014, 29(5):239-245.WANG Yifan,CHEN Guozhu, ZHANG Shu. A continuously magnetic valve arc-suppression coil and its modeling[J].Transactions of China Electrotechnical Society, 2014, 29(5):239-245.
[12]石鹏太,田铭兴,王兴龙.连续饱和型磁控电抗器数学模型及谐波的数值计算[J].高压电器,2015,51(7):20-25.SHI Pengtai,TIAN Mingxing, WANG Xinglong. Mathematical model and harmonics numerical calculation of continuous saturable magnetic-valve controllable reactor[J]. High Voltage Apparatus, 2015,51(7):20-25.
[13] CHEN B, KOKERNAK J. Thyristor controlled two-stage magnetic-valve reactor for dynamic var-compensation in electric railway power supply systems[C]//IEEE Applied Power Electronics Conference&Exposition. New Orleans, LA:IEEE,2000:1066-1072.
[14]田铭兴,石鹏太,马亚珍.n级饱和磁阀式可控电抗器结构特性和仿真方法[J].电力自动化设备,2016,36(2):95-101.TIAN Mingxing, SHI Pengtai, MA Yazhen. Structural prop-erty and simulation method of n-stage saturable magneticvalve controllable reactor[J]. Electric Power Automation Equipment, 2016,36(2):95-101.
[15]汤蕴璆,罗应立,梁艳萍.电机学[M].北京:机械工业出版社,2008:16-21.TANG Yunzhang,LUO Yingli,LIANG Yanping. Electromechanics[M]. Beijing:Machinery Industry Press, 2008:16-21.
[16] SANDEEP V, MURTHY S S. SINGH B. A comparative study on approaches to curve fitting of magnetization characteristics for induction generators[C]//IEEE International Conference on Power Electronics.Bengaluru:IEEE, 2012:1-6.
[17] TANG Q, WANG Z D, ANDERSON P I, et al. Approximation and prediction of ac magnetization curves for power transformer core analysis[J]. IEEE Transactions on Magnetics, 2015, 51(5):1-8.
[18]尹忠东.磁阀式可控电抗器的理论研究及应用[D].武汉:武汉水利电力大学,1997.YIN Zhongdong. Research on the theories and applications of magnetic valve controllable reactor[D]. Wuhan:Wuhan University of Hydraulic and Electric Engineering.
[19] CHEN X X, CHEN B C, TIAN C H, et al. Modeling and harmonic optimization of a two-stage saturable magnetically controlled reactor for an arc suppression coil[J]. IEEE Transactions on Industrial Electronics,2012, 59(7):2824-2831.
[20]陈绪轩,陈柏超,田翠华,等.双级饱和磁控电抗器谐波抑制优化技术[J].电工技术学报,2011, 31(5):71-75.CHEN Xuxuan, CHEN Baichao, TIAN Cuihua, et al.Optimization technique of harmonic suppression for TSMCR[J]. Electrical Power Automation Equipment, 2011,31(5):71-75.