Abstract：The harmonic characteristics are quite superior when CRT (controllable reactor of transformer type) operates in fixed-single-branch regulating mode. Matching an appropriate parameter for each current-limiting inductance is the key to implement the fixed-single-branch regulating mode. Based on the circuit equations expressed by the self and mutual inductances of CRT, the instantaneous expression of work winding current and the formula for calculating its fundamental RMS were derived. And then the definitions of regulating process and capacitance range were proposed. According to the regulating process of fixed-single-branch mode, an optimization model for calculating the current-limiting inductances was established following the principle of keeping continuous output power and minimum overlap among all the capacitance ranges, while the nonlinear equations for calculating the current-limiting inductances were also established on the basis of the ideal situation in literatures that the currents in different control windings are independently each other. Finally, an example was designed and solved by Matlab optimization tool. The results show that the parameters obtained in the ideal situation lead to a wide range of discontinuity to the output power, which are inadvisable; while the ones calculated by the proposed optimization model can implement the fixed-single-branch mode efficiently.
[1] 戴武昌, 陈东魁, 张威, 等. 大容量远距离交流输电系统无功平衡及稳态电压控制[J]. 电网技术, 2013, 37(4): 1101-1105. Dai Wuchang, Chen Dongkui, Zhang Wei, et al. Reactive power balance and steady voltage control of large-scale long-distance AC transmission system[J]. Power System Technology, 2013, 37(4): 1101-1105. [2] 刘振亚. 中国特高压交流输电技术创新[J]. 电网技术, 2013, 37(3): 1-8. Liu Zhenya. Innovation of UHVAC transmission technology in China[J]. Power System Technology, 2013, 37(3): 1-8. [3] 李斌, 李学斌, 丁茂生, 等. 特高压同杆双回线的环流不平衡及其影响[J]. 电工技术学报, 2012, 27(4): 202-209. Li Bin, Li Xuebin, Ding Maosheng, et al. Circulating unbalanced current and its influence of double-circuit UHV transmission lines[J]. Transactions of China Electrotechnical Society, 2012, 27(4): 202-209. [4] 周远翔, 关志成. 特、超高压输变电技术发展动态[J]. 高电压技术, 2001, 27(2): 47-49. Zhou Yuanxiang, Guan Zhicheng. The development of ultra high voltage transmission technology[J]. High Voltage Engineering, 2001, 27(2): 47-49. [5] 周孝信, 陈树勇, 鲁宗相. 电网和电网技术发展的回顾与展望——试论三代电网[J]. 中国电机工程学报, 2013, 33(22): 1-11. Zhou Xiaoxin, Chen Shuyong, Lu Zongxiang. Review and prospect for power system development and related technologies:a concept of three-generation power systems[J]. Proceedings of the CSEE, 2013, 33(22): 1-11. [6] 曾庆禹. 1000kV特高压输电系统输电能力研究[J]. 电网技术, 2012, 36(2): 1-6. Zeng Qingyu. Study on power transmission capability of 1000kV ultra high voltage transmission system[J]. Power System Technology, 2012, 36(2): 1-6. [7] 王久和, 慕小斌, 张百乐, 等. 光伏并网逆变器最大功率传输控制研究[J]. 电工技术学报, 2014, 29(6): 49-56. Wang Jiuhe, Mu Xiaobin, Zhang Baile, et al. Research on maximum power transfer control of photovoltaic grid connected inverters[J]. Transa- ctions of China Electrotechnical Society, 2014, 29(6): 49-56. [8] 秦晓辉, 郭强, 周勤勇, 等. 一种无功平衡与临界潮流快速分析方法及其在特高压可控高抗需求分析中的应用[J]. 中国电机工程学报, 2013, 33(19): 102-111. Qin Xiaohui, Guo Qiang, Zhou Qinyong, et al. Fast analysis method of reactive power balancing and critical power flow and application to study controllable shunt reactors requirement in UHV grid[J]. Proceedings of the CSEE, 2013, 33(19): 102- 111. [9] 熊虎, 向铁元, 詹昕, 等. 特高压交流输电系统无功与电压的最优控制策略[J]. 电网技术, 2012, 36(3): 34-39. Xiong Hu, Xiang Tieyuan, Zhan Xin, et al. An optimal control strategy of reactive power and voltage for UHVAC power transmission system[J]. Power System Technology, 2012, 36(3): 34-39. [10] 江渝, 王恒, 郑群英, 等. 一种可调电感控制线路潮流的方法[J]. 电工技术学报, 2011, 26(9): 196- 200. Jiang Yu, Wang Heng, Zheng Qunying, et al. Control method of power flow with adjustable inductor[J]. Transactions of China Electrotechnical Society, 2011, 26(9): 196-200. [11] 孙媛媛, 尹志明, 郑伟杰, 等. 晶闸管可控电抗器的谐波产生特性研究[J]. 电工技术学报, 2012, 27(7): 267-273. Sun Yuanyuan, Yin Zhiming, Zheng Weijie, et al. Study of the harmonic producing characteristics of the thyristor controlled reactors[J]. Transactions of China Electrotechnical Society, 2012, 27(7): 267- 273. [12] 田铭兴, 杨雪凇, 顾生杰, 等. 基于MATLAB的磁饱和式可控电抗器的仿真模型参数及过渡时间分析[J]. 电力自动化设备, 2013, 33(6): 47-51. Tian Mingxing, Yang Xuesong, Gu Shengjie, et al. Analysis of simulation model parameters and transition time based on MATLAB for magnetically- saturated controllable reactor[J]. Electric Power Automation Equipment, 2013, 33(6): 47-51. [13] 周腊吾, 朱英浩, 周之光. 特高压可控并联电抗器的调节范围[J]. 电工技术学报, 2006, 21(12): 116- 121. Zhou Lawu, Zhu Yinghao, Zhou Zhiguang. Regulating range of UHV controlled shunt reactor[J]. Transactions of China Electrotechnical Society, 2006, 21(12): 116-121. [14] 田铭兴. 变压器式可控电抗器的基本理论研究[D]. 西安: 西安交通大学, 2005. [15] 张宇, 陈乔夫, 程路, 等. 基于磁通补偿的高压大容量可控电抗器[J]. 电工技术学报, 2009, 24(3): 93-98. Zhang Yu, Chen Qiaofu, Cheng Lu, et al. A high- voltage and large-capacity controllable reactor based on magnetic flux compensating[J]. Transactions of China Electrotechnical Society, 2009, 24(3): 93-98. [16] 刘海涛, 张卫星, 刘瑜, 等. 变压器式可控电抗器的控制绕组无功容量分析[J]. 电力系统及其自动化学报, 2006, 18(6): 70-72. Liu Haitao, Zhang Weixing, Liu Yu, et al. Reactive power capacitance analysis for controllable shunting reactors of transformer type[J]. Proceedings of the CSU-EPSA, 2006, 18(6): 70-72. [17] 丁洪发, 朱庆春. 混合变压器式可控电抗器及其仿真[J]. 继电器, 2005, 33(10): 25-30. Ding Hongfa, Zhu Qingchun. Controllable shunt reactors of hybrid transformer type and its simu- lations[J]. Relay, 2005, 33(10): 25-30. [18] 田铭兴, 杨秀川, 原东昇. 多并联支路型可控电抗器短路电抗对支路电抗和电流的影响[J]. 电工技术学报, 2014, 29(7): 237-243. Tian Mingxing, Yang Xiuchuan, Yuan Dongsheng. Short-circuit reactances of a controllable reactor of multi-parallel branch type’s influence on its branch reactances and currents[J]. Transactions of China Electrotechnical Society, 2014, 29(7): 237-243. [19] 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 Electro- technical Society, 2014, 29(5): 239-245. [20] 陈昊, 邓广静, 王玉荣. 电抗器间隔断路器后置式接线所引起二次问题研究[J]. 电力系统保护与控制, 2014, 42(18): 122-126. Chen Hao, Deng Guangjing, Wang Yurong. Research on the secondary side problem caused by breaker rear-wiring pattern in reactor interval[J]. Power System Protection and Control, 2014, 42(18): 122-126.
2017, Vol. 32 
