|
|
Reduced-Order Model of Grid-Connected Converter System Based on Balanced Realization Theory |
Xu Jiancheng, Sun Jianjun, Zhong Peijun, Yin Yaozong, Zha Xiaoming |
School of Electrical Engineering and Automation Wuhan University Wuhan 430072 China |
|
|
Abstract The complex and high-order characteristics of the full-order model of the grid-connected converter system limit its application in theoretical analysis. The establishment of a suitable reduced-order model is an important way to simplify the theoretical analysis of the grid-connected converter system. The existing order reduction method mainly obtains the order reduction model at a certain time scale by simplifying the dynamic characteristics of the model at other time scales. The accuracy of the model is not high. To this end, this paper proposes a method for reducing the order of grid-connected converter systems based on balanced realization theory. This method obtains the corresponding Gramian matrix by solving its Lyapunov equation, and then obtains an equivalent balanced system. On this basis, according to the Hankle singular value of the balanced system, key state variables in the balanced system are retained to achieve system reduction. In this paper, voltage source converter (VSC) were used as examples. Based on the proposed method, reduced-order models of single and multiple grid-connected converters system considering the connection impedance between the converters were established. Matlab/Simulink time-domain simulation shows that the proposed method can achieve effective and accurate order reduction for grid-connected converter systems.
|
Received: 18 November 2019
|
|
|
|
|
[1] 袁小明, 程时杰, 胡家兵. 电力电子化电力系统多尺度电压功角动态稳定问题[J]. 中国电机工程学报, 2016, 36(19): 5145-5154, 5395. Yuan Xiaoming, Cheng Shijie, Hu Jiabing.Multi- time scale voltage and power angle dynamics in power electronics dominated large power systems[J]. Proceedings of the CSEE, 2016, 36(19): 5145-5154, 5395. [2] 钟佩军, 孙建军, 司学振, 等. 基于电压扰动源的并网逆变器输出阻抗测量方法[J]. 电工技术学报, 2019, 34(22): 4739-4750. Zhong Peijun, Sun Jianjun, Si Xuezheng, et al.Measurement method of inverter output impedance based on voltage disturbance source[J]. Transa- ctions of China Electrotechnical Society, 2019, 34(22): 4739-4750. [3] 赵强松, 陈莎莎, 周晓宇, 等. 用于并网逆变器谐波抑制的重复-比例复合控制器分析与设计[J]. 电工技术学报, 2019, 34(24): 5189-5198. Zhao Qiangsong, Chen Shasha, Zhou Xiaoyu, et al.Analysis and design of combination controller based on repetitive control and proportional control for harmonics suppression of grid-tied inverters[J]. Transactions of China Electrotechnical Society, 2019, 34(24): 5189-5198. [4] Enrico De Tuglie, Silvio Marcello Iannone, Francesco Torelli.A coherency recognition based on structural decomposition procedure[J]. IEEE Transaction on Power Systems, 2008, 23(2): 555-563. [5] 李承昱, 许建中, 赵成勇, 等. 基于虚拟同步发电机控制的VSC类同调等值方法[J]. 电工技术学报, 2016, 31(13): 111-119. Li Chengyu, Xu Jianzhong, Zhao Chengyong, et al.Coherency equivalence method for voltage source converter based on virtual synchronous generator[J]. Transactions of China Electrotechnical Society, 2016, 31(13): 111-119. [6] 廖书寒, 查晓明, 黄萌, 等. 适用于电力电子化电力系统的同调等值判据[J]. 中国电机工程学报, 2018, 38(9): 2589-2598, 2827. Liao Shuhan, Zha Xiaoming, Huang Meng, et al.Coherency criterion applicable to power electronics dominated large power systems[J]. Proceedings of the CSEE, 2018, 38(9): 2589-2598, 2827. [7] 刘永强, 杨志辉, 唐云, 等. 多时间尺度电力系统的模型降阶及稳定性分析(一): 基本理论[J]. 电力系统自动化, 2003, 27(1): 5-10. Liu Yongqiang, Yang Zhihui, Tang Yun, et al.Order reduction and stability analysis for multi-time scale power systems: part one fundamental theory[J]. Automation of Electric Power Systems, 2003, 27(1): 5-10. [8] 刘永强, 雷文, 吴捷, 等. 多时间尺度电力系统的模型降阶及稳定性分析(二): 电力系统的降阶与中长期失稳[J]. 电力系统自动化, 2003, 27(2): 45-51. Liu Yongqiang, Lei Wen, Wu Jie, et al.Order reduction and stability analysis for multi-time scale power systems: part two order reduction and loss of mid-term and long-term stability[J]. Automation of Electric Power Systems, 2003, 27(2): 45-51. [9] 刘永强, 严正, 倪以信, 等. 双时间尺度电力系统动态模型降阶研究(一): 电力系统奇异摄动模型[J]. 电力系统自动化, 2002, 26(18): 1-5. Liu Yongqiang, Yan Zheng, Ni Yixin, et al.Study on the order reduction of two-time scale power system dynamic models: part one power system singular perturbation model[J]. Automation of Electric Power Systems, 2002, 26(18): 1-5. [10] 刘永强, 严正, 倪以信, 等. 双时间尺度电力系统动态模型降阶研究(二): 系统降阶与分析[J]. 电力系统自动化, 2002, 26(19): 1-6. Liu Yongqiang, Yan Zheng, Ni Yixin, et al.Study on the order reduction of two-time scale power system dynamic models: part two order reduction and analysis[J]. Automation of Electric Power Systems, 2002, 26(19): 1-6. [11] 马凡, 马伟明, 付立军. 一种多时间尺度降阶原则及其在交直流电力系统中的应用[J]. 中国电机工程学报, 2009, 29(13): 41-47. Ma Fan, Ma Weiming, Fu Lijun.A multi-time scale order reduction principle and its application in AC/DC power system[J]. Proceedings of the CSEE, 2009, 29(13): 41-47. [12] 康军, 马凡, 胡健, 等. 一种多时间尺度线性系统模型降阶的误差预测方法[J]. 电工技术学报, 2017, 32(3): 56-64. Kang Jun, Ma Fan, Hu Jian, et al.An error prediction method of model order reduction for multi-time scale linear system[J]. Transactions of China Electro- technical Society, 2017, 32(3): 56-64. [13] 马凡, 马伟明, 付立军, 等. 一种非线性多时间尺度系统模型降阶方法[J]. 中国电机工程学报, 2013, 33(16): 162-170, 5. Ma Fan, Ma Weiming, Fu Lijun, et al.A model order reduction method for nonlinear multi-time scale systems[J]. Proceedings of the CSEE, 2013, 33(16): 162-170, 5. [14] 赵洪山, 宋国维, 江全元. 利用平衡理论进行电力系统模型降阶研究[J]. 电工技术学报, 2010, 25(2): 127-133. Zhao Hongshan, Song Guowei, Jiang Quanyuan.Reduction of power system model using balanced realization method[J]. Transactions of China Electrotechnical Society, 2010, 25(2): 127-133. [15] Hahn J,Edgar F T.Balancing approach to minimal realization and model reduction of stable nonlinear systems[J]. Industrial and Engineering Chemistry Research, 2002, 41(9): 2204-2212. [16] Li Zhiwei, Lan Xiaoming, Zhao Hongshan.Empirical gramians model reduction of controlled nonlinear power systems[J]. Information Engineering Letters, 2011, 1(1): 38-44. [17] 赵洪山, 兰晓明, 周雪青. 基于平衡降阶模型的多机系统非线性励磁预测控制[J]. 中国电机工程学报, 2013, 33(22): 61-67, 11. Zhao Hongshan, Lan Xiaoming, Zhou Xueqing.Nonlinear excitation prediction control of multi- machine power systems based on balanced reduced model[J]. Proceedings of the CSEE, 2013, 33(22): 61-67, 11. [18] 张喆, 赵洪山, 李志为, 等. 平衡格莱姆方法在电力系统线性模型降阶中的应用[J]. 电工技术学报, 2013, 28(6): 201-207. Zhang Zhe, Zhao Hongshan, Li Zhiwei, et al.Power system linear model reduction based on the balanced Gramian method[J]. Transactions of China Electro- technical Society, 2013, 28(6): 201-207. [19] 赵洪山, 薛宁, 时宁. 非线性电力系统模型经验Gramian平衡降阶[J]. 电力自动化设备, 2014, 34(9): 21-26, 40. Zhao Hongshan, Xue Ning, Shi Ning.Empirical Gramian balanced reduction of nonlinear power system model[J]. Electric Power Automation Equipment, 2014, 34(9): 21-26, 40. [20] 辛焕海, 李子恒, 董炜, 等. 三相变流器并网系统的广义阻抗及稳定判据[J]. 中国电机工程学报, 2017, 37(5): 1277-1293. Xin Huanhai, Li Ziheng, Dong Wei, et al.Generalized-impedance and stability criterion for grid-connected converters[J]. Proceedings of the CSEE, 2017, 37(5): 1277-1293. [21] 杨苓, 陈燕东, 罗安, 等. 多机并联接入弱电网的改进型带阻滤波器高频振荡的抑制[J]. 电工技术学报, 2019, 34(10): 2079-2091. Yang Ling, Chen Yandong, Luo An, et al.Suppression method of high-frequency oscillation by improved notch filter for multi-parallel inverters connected to weak grid[J]. Transactions of China Electrotechnical Society, 2019, 34(10): 2079-2091. |
|
|
|