Abstract：Twelve-pulse diode rectifiers with high-resistance grounding type have been widely used in various isolated power systems such as ship and aircraft. It is hard to model the dynamic behavior of pole-to-ground (P-to-G) DC fault of twelve-pulse diode rectifier because of many diode conduction combinations, complex and short transient process. In order to solve this problem, a dynamic mathematical modeling approach based on switch function and principle of harmonic balance is proposed. A large signal mathematical model of twelve-pulse diode rectifier with P-to-G DC fault is established, which is in the form of a set of non-linear state equations. The proposed modeling method is validated through comparison of mathematical model and physical experiment. The mathematical model is effective and can accurately reflect the transient behavior of P-to-G DC fault and the steady-state average characteristics before and after the P-to-G DC fault.
李春, 马凡, 付立军, 沈建清, 孙文. 十二脉波不控整流器直流单极接地短路的动态数学模型[J]. 电工技术学报, 2020, 35(7): 1529-1537.
Li Chun, Ma Fan, Fu Lijun, Shen Jianqing, Sun Wen. Dynamic Mathematical Model of Twelve-Pulse Diode Rectifier with Pole-to-Ground DC Fault. Transactions of China Electrotechnical Society, 2020, 35(7): 1529-1537.
[1] 孟凡刚, 杨世彦, 杨威. 多脉波整流技术综述[J]. 电力自动化设备, 2012, 32(2): 9-22. Meng Fangang, Yang Shiyan, Yang Wei.Overview of multiplex rectification technology[J]. Power Automation Equipment, 2012, 32(2): 9-22. [2] 马伟明. 电力集成技术[J]. 电工技术学报, 2005, 20(1): 16-20. Ma Weiming.Power system integration technique[J]. Transaction of China Electrotechnical Society, 2005, 20(1): 16-20. [3] Jacobson B, Walker J.Grounding considerations for DC and mixed DC and AC power systems[J]. Naval Engineers Journal, 2007, 119(2): 49-62. [4] Infante D.Guiding the selection of physical experiments for the validation of a model designed to study grounding in dc distribution systems[D]. Gainesville: University of Florida, 2011. [5] Wang Yunchao, Yu Zhanqing, He Jinliang, et al.Performance of shipboard medium-voltage DC system of various grounding modes under monopole ground fault[J]. IEEE Transactions on Industry Applications, 2015, 51(6): 5002-5009. [6] 赵西贝, 许建中, 卢铁兵, 等. 采用架空线的MMC-HVDC单极接地过电压分析[J]. 电力系统自动化, 2018, 42(7): 44-49. Zhao Xibei, Xu Jianzhong, Lu Tiebing, et al.Overvoltage Analysis on Overhead Line based MMC-HVDC System under Single-pole-to-ground[J]. Automation of Electric Power Systems, 2018, 42(7): 44-49. [7] 戴志辉, 黄敏, 苏怀波. 基于MMC的环状直流配网在不同接地方式下的故障特性分析[J]. 电力系统保护与控制, 2019, 47(1): 1-10. Dai Zhihui, Huang Min, Su Huaibo.Analysis on fault characteristics of MMC-based ring DC distribution networks under different grounding modes[J]. Power System Protection and Control, 2019, 47(1): 1-10. [8] 陈继开, 孙川, 李国庆, 等. 双极MMC-HVDC系统直流故障特性研究[J]. 电工技术学报, 2017, 32(10): 53-60. Chen Jikai, Sun Chuan, Li Guoqing, et al.Study on characteristics of DC fault in bipolar MMC-HVDC system[J]. Transactions of China Electrotechnical Society, 2017, 32(10): 53-60. [9] 徐铭铭, 肖立业, 林良真. 直流配电网单极接地故障定位方法[J]. 电工电能新技术, 2015, 34(11): 55-62. Xu Mingming, Xiao Liye, Lin Liangzhen.Unipolar grounding fault location method for DC distribution network[J]. Advanced Technology of Electrical Engineering and Energy, 2015, 34(11): 55-62. [10] 孙刚, 时伯年, 赵宇明, 等. 基于MMC的柔性直流配电网故障定位及保护配置研究[J]. 电力系统保护与控制, 2015, 43(22): 127-133. Sun Gang, Shi Bonian, Zhao Yuming, et al.Research on the fault location method and protection configuration strategy of MMC based DC distribution grid[J]. Power System Protection and Control, 2015, 43(22): 127-133. [11] 张青云, 马凡, 江汉红. 经电阻接地的直流电力系统接地故障保护方法[J]. 船电技术, 2015, 35(8): 1-5. Zhang Qingyun, Ma Fan, Jiang Hanhong.A method of grounding fault protection in DC power system with grounding resistance[J]. Marine Electric, 2015, 35(8): 1-5. [12] Kimback E W. Transient overvoltages caused by monopolar ground fault on bipolar DC line: theory and simlation[J]. IEEE Transactions on power Apparatus and Systems, 1970, PAS-89(4): 584-592. [13] 张紫光, 付媛, 王毅. 基于VSC的直流电网输电线路单极接地故障分析[J]. 现代电力, 2017, 34(1): 82-88. Zhang Ziguang, Fu Yuan, Wang Yi.Pole-to-ground fault analysis of transmission lines in VSC based DC power grids[J]. Modern Electric Power, 2017, 34(1): 82-88. [14] 戴志辉, 葛红波, 严思齐, 等. 柔性直流配电网故障分析[J]. 电工技术学报, 2018, 33(8): 1863-1874. Dai Zhihui, Ge Hongbo, Yan Siqi, et al.Fault analysis of flexible DC distribution system[J]. Transactions of China Electrotechnical Society, 2018, 33(8): 1863-1874. [15] Yang Jin, Fletcher J E, O'Reilly J. Short-circuit and ground fault analyses and location in VSC-based DC network cables[J]. IEEE Transactions on Industrial Electronics, 2012, 59(10): 3827-3837. [16] 罗永捷, 徐罗那, 熊小伏, 等. MMC-MTDC系统直流单极对地短路故障保护策略[J]. 电工技术学报, 2017, 32(增刊1): 98-106. Luo Yongjie, Xu Luona, Xiong Xiaofu, et al.Pole-to-ground DC fault protection of MMC-MTDC systems[J]. Transactions of China Electrotechnical Society, 2017, 32(S1): 98-106. [17] 汪楠楠, 姜崇学, 王佳成, 等. 采用直流断路器的对称单极多端柔性直流故障清除策略[J]. 电力系统自动化, 2019, 43(06): 181-189. Wang Nannan, Jiang Chongxue, Wang Jiacheng, et al.Fault Elimination Strategy of Symmetric Single-pole VSC-MTDC Based on DC Circuit Breaker, Automation of Electric Power Systems, 2019, 43(06): 181-189. [18] Han Liqiu, Wang Jiabin, Howe D.State-space average modelling of 6- and 12-pulse diode rectifiers[C]// IEEE European Conference on Power Electronics and Applications, Aalborg, Denmark, 2007: 5047-5056. [19] 王宇. 基于Matlab/Simulink的12脉波整流电路谐波分析[J]. 电气技术, 2013, 14(10): 25-27. Wang Yu.Analysis for 12-pulse rectifier on Matlab/Simulink[J]. Electrical Engineering, 2013, 14(10): 25-27. [20] 秦萌涛, 宋文武, 黄琛. 舰用12脉波整流器直流侧谐波分析[J]. 舰船科学技术, 2015, 37(2): 101-106. Qin Mengtao, Song Wenwu, Huang Chen.Harmonic analysis of 12-pulse rectifier for ship at the DC side[J]. Ship Science and Technology, 2015, 37(2): 101-106. [21] Zhang Gaifan, Ma Weiming.Transient analysis of synchronous machines[M]. Wuhan: Hubei Science and Technology Press, 2001. [22] 赵小军, 张晓欣, 李慧奇, 等. 基于谐波平衡法的变压器直流偏磁电路-磁路频域耦合模型[J]. 电工技术学报, 2014, 29(9): 211-218. Zhao Xiaojun, Zhang Xiaoxin, Li Huiqi, et al.Frequency Domain Coupled Model between Magnetic and Electric Circuits of DC Biased Transformers by Harmonic Balance Method[J]. Transactions of China Electrotechnical Society. 2014, 29(9): 211-218.
2020, Vol. 35 
