Virtual Inertia Parameter Feasible Region Based High-frequency Oscillation Suppression of DC Microgrid

doi:10.11930/j.issn.1004-9649.202402023

Abstract

Abstract:

Addressing the issue of high-frequency oscillation instability in DC microgrids caused by unreasonable virtual inertia control parameters, a low-pass filter equivalent modeling approach is proposed. This approach establishes a reduced-order model of the DC microgrid and its voltage closed-loop transfer function. From the perspective of ensuring the small-signal stability of the DC microgrid, the concept of a feasible region for virtual inertia parameters is defined in the parameter space, with droop coefficients and low-pass filter control bandwidth as the primary parameters. Based on the zeros and poles obtained from the voltage closed-loop transfer function, a method for solving the feasible region of virtual inertia parameters is proposed. This feasible region provides practical guidance for the design of virtual inertia control parameters in DC microgrids. Finally, a simulation case of a DC microgrid based on a switching model is built using PLECS software. Multiple simulation results have verified the effectiveness of the reduced-order model and the feasible region of virtual inertia control parameters.

Key words: direct current microgrid, reduced order model, high frequency oscillation, virtual inertia parameters, feasible region

Rui WANG, Xueshen ZHAO, Xinhui ZHANG, Ke PENG, Honglu XU, Haoyue SUN. Virtual Inertia Parameter Feasible Region Based High-frequency Oscillation Suppression of DC Microgrid[J]. Electric Power, 2024, 57(10): 123-132.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202402023

https://www.electricpower.com.cn/EN/Y2024/V57/I10/123

Figures/Tables 20

Fig.1 Topology of the DC microgrid

Fig.2 Two typical virtual inertia control strategies

Fig.3 Simulation results of high-frequency oscillations in DC microgrid

Fig.4 Topology of the reduced-order model

Fig.5 Simulation results of high-frequency oscillations in the reduced-order model

Fig.6 Frequency domain response curve of transfer functions Gud(s) and Guiu(s) (group 1 parameters)

Fig.7 Zero pole distribution of transfer function Guiu(s) (first set of parameters)

Fig.8 Flow for characterizing the feasible region of virtual inertia parameters

Fig.9 The feasible region of virtual inertia parameters

Table 1 Four sets of virtual inertia parameters

下垂系数	第1组	第2组	第3组	第4组
K_d	0.52	0.25	0.52	0.63
ω_f	7000	7000	1000	7000

Fig.10 Frequency domain response curve of the second set of parameters

Fig.11 The swept principle of the transfer function Guiu(s)

Fig.12 Zero pole distribution of the second set of parameters

Fig.13 Frequency domain response curve of the third set of parameters

Fig.14 Zero pole distribution of the third set of parameters

Fig.15 Frequency domain response curve of the fourth set of parameters

Fig.16 Zero pole distribution of the fourth set of parameters

Fig.17 Simulation results for the second set of parameters

Fig.18 Simulation results for the third set of parameters

Fig.19 Simulation results for different lengths of DC lines

References 25

1	刘海涛, 熊雄, 季宇. 基于有限状态机转换矩阵建模的直流配电系统精细化控制[J]. 中国电力, 2021, 54 (10): 89- 96.
	LIU Haitao, XIONG Xiong, JI Yu. Precise control of DC distributed system based on finite state machine matrix modeling[J]. Electric Power, 2021, 54 (10): 89- 96.
2	袁宇波, 易文飞, 赵学深, 等. 一种基于泰勒展开的临界降阶直流配电系统稳定控制算法[J]. 中国电力, 2021, 54 (10): 73- 80.
	YUAN Yubo, YI Wenfei, ZHAO Xueshen, et al. A stabilization control method of supercritical reduced-order medium-voltage DC distribution system based on Taylor expansion[J]. Electric Power, 2021, 54 (10): 73- 80.
3	杨茂, 杨明. 高比例新能源电力系统功率预测及优化运行技术[J]. 东北电力大学学报, 2024, 44 (1): 5- 6.
4	明远山, 胡慧慧, 刘凯旋, 等. 孤岛模式下直流微网中储能单元SOC均衡控制策略[J]. 电力科学与技术学报, 2023, 38 (4): 57- 64.
	MING Yuanshan, HU Huihui, LIU Kaixuan, et al. Research on SOC balance control strategy of energy storage unit in DC microgrid in island mode[J]. Journal of Electric Power Science and Technology, 2023, 38 (4): 57- 64.
5	李瑞, 李占凯, 张福民, 等. 基于共识算法的直流微网群分布式优化调度策略[J]. 南方电网技术, 2022, 16 (1): 49- 57.
	LI Rui, LI Zhankai, ZHANG Fumin, et al. Distributed optimal scheduling strategy of DC microgrid cluster based on consensus algorithm[J]. Southern Power System Technology, 2022, 16 (1): 49- 57.
6	李鹏飞, 李霞林, 王成山, 等. 中低压柔性直流配电系统稳定性分析模型与机理研究综述[J]. 电力自动化设备, 2021, 41 (5): 3- 21.
	LI Pengfei, LI Xialin, WANG Chengshan, et al. Review of stability analysis model and mechanism research of medium-and low-voltage flexible DC distribution system[J]. Electric Power Automation Equipment, 2021, 41 (5): 3- 21.
7	王鑫, 杨德健, 金恩淑, 等. 双馈风电机的虚拟惯性控制优化策略[J]. 智慧电力, 2022, 50 (8): 1- 6, 81.
	WANG Xin, YANG Dejian, JIN Enshu, et al. Improved virtual inertial control strategy of doubly-fed induction generator[J]. Smart Power, 2022, 50 (8): 1- 6, 81.
8	杨继鑫, 王久和, 王勉, 等. 基于无源控制的光储直流微网虚拟惯性控制策略研究[J]. 发电技术, 2021, 42 (5): 576- 584.
	YANG Jixin, WANG Jiuhe, WANG Mian, et al. Research on virtual inertial control strategy of DC microgrid with photovoltaic and storage system based on passivity-based control[J]. Power Generation Technology, 2021, 42 (5): 576- 584.
9	姚广增, 彭克, 李海荣, 等. 柔性直流配电系统高频振荡降阶模型与机理分析[J]. 电力系统自动化, 2020, 44 (20): 29- 36.
	YAO Guangzeng, PENG Ke, LI Hairong, et al. Reduced-order model and mechanism analysis of high-frequency oscillation in flexible DC distribution system[J]. Automation of Electric Power Systems, 2020, 44 (20): 29- 36.
10	李鹏飞, 郭力, 王洪达, 等. 直流微电网高频振荡稳定问题的降阶建模及分析[J]. 电力自动化设备, 2021, 41 (5): 65- 72.
	LI Pengfei, GUO Li, WANG Hongda, et al. Reduced-order modeling and analysis of high-frequency oscillation stability in DC microgrid[J]. Electric Power Automation Equipment, 2021, 41 (5): 65- 72.
11	RASHIDIRAD N, HAMZEH M, SHESHYEKANI K, et al. High-frequency oscillations and their leading causes in DC microgrids[J]. IEEE Transactions on Energy Conversion, 2017, 32 (4): 1479- 1491. DOI
12	李鲁阳, 裴玮, 邓卫, 等. 改善直流配电网中VSC与线路交互失稳的有源阻尼策略[J]. 高电压技术, 2019, 45 (9): 2884- 2894.
	LI Luyang, PEI Wei, DENG Wei, et al. Active damping strategy for improving VSC and line interaction instability in DC distribution network[J]. High Voltage Engineering, 2019, 45 (9): 2884- 2894.
13	LI X L, GUO L, ZHANG S H, et al. Observer-based DC voltage droop and current feed-forward control of a DC microgrid[J]. IEEE Transactions on Smart Grid, 2018, 9 (5): 5207- 5216. DOI
14	郭力, 冯怿彬, 李霞林, 等. 直流微电网稳定性分析及阻尼控制方法研究[J]. 中国电机工程学报, 2016, 36 (4): 927- 936.
	GUO Li, FENG Yibin, LI Xialin, et al. Stability analysis and research of active damping method for DC microgrids[J]. Proceedings of the CSEE, 2016, 36 (4): 927- 936.
15	朱晓荣, 孟凡奇. 含虚拟惯性控制的直流微电网稳定性分析[J]. 电网技术, 2020, 44 (1): 208- 218.
	ZHU Xiaorong, MENG Fanqi. Stability analysis of DC microgrid with virtual inertia control[J]. Power System Technology, 2020, 44 (1): 208- 218.
16	付媛, 李浩, 张祥宇. 基于振荡状态反馈的直流微网储能换流器的有源阻尼控制技术[J]. 高电压技术, 2021, 47 (3): 927- 937.
	FU Yuan, LI Hao, ZHANG Xiangyu. Active damping control of energy storage converter in DC microgrid based on oscillatory state feedback[J]. High Voltage Engineering, 2021, 47 (3): 927- 937.
17	朱晓荣, 韩丹慧. 基于虚拟惯性控制的直流微电网稳定性分析及其改进方法[J]. 电力自动化设备, 2019, 39 (12): 121- 127.
	ZHU Xiaorong, HAN Danhui. Stability analysis of DC microgrid based on virtual inertia control and its improved method[J]. Electric Power Automation Equipment, 2019, 39 (12): 121- 127.
18	徐李清, 郭春义, 杨硕. 联接低惯量交流系统的MMC与发电机之间的低频交互振荡模式研究[J]. 中国电机工程学报, 2023, 43 (9): 3402- 3415.
	XU Liqing, GUO Chunyi, YANG Shuo. Research on low frequency interactive oscillation mode between generator and MMC connected to low inertia AC system[J]. Proceedings of the CSEE, 2023, 43 (9): 3402- 3415.
19	ZHANG Z, FANG J Y, DONG C Y, et al. Enhanced grid frequency and DC-link voltage regulation in hybrid AC/DC microgrids through bidirectional virtual inertia support[J]. IEEE Transactions on Industrial Electronics, 2023, 70 (7): 6931- 6940. DOI
20	许津铭, 谢少军, 肖华锋. LCL滤波器有源阻尼控制机制研究[J]. 中国电机工程学报, 2012, 32 (9): 27- 33, 6.
	XU Jinming, XIE Shaojun, XIAO Huafeng. Research on control mechanism of active damping for LCL filters[J]. Proceedings of the CSEE, 2012, 32 (9): 27- 33, 6.
21	朱晓荣, 孟凡奇, 谢志云. 基于虚拟同步发电机的直流微网DC-DC变换器控制策略[J]. 电力系统自动化, 2019, 43 (21): 132- 140.
	ZHU Xiaorong, MENG Fanqi, XIE Zhiyun. Control strategy of DC-DC converter in DC microgrid based on virtual synchronous generator[J]. Automation of Electric Power Systems, 2019, 43 (21): 132- 140.
22	沈可心, 薛博文, 朱晓荣. 直流微网中直驱风机的类虚拟同步发电机惯性控制策略[J]. 高电压技术, 2023, 49 (6): 2526- 2537.
	SHEN Kexin, XUE Bowen, ZHU Xiaorong. Inertia control strategy of direct-driven wind generation system in DC microgrid based on analogous virtual synchronous generator[J]. High Voltage Engineering, 2023, 49 (6): 2526- 2537.
23	张纯江, 暴云飞, 孟宪慧, 等. 直流微网储能DC/DC变换器的自适应虚拟直流电机控制[J]. 电力系统保护与控制, 2023, 51 (1): 12- 20.
	ZHANG Chunjiang, BAO Yunfei, MENG Xianhui, et al. Adaptive virtual DC machine control for a DC microgrid energy storage DC/DC converter[J]. Power System Protection and Control, 2023, 51 (1): 12- 20.
24	朱琳, 赵学深, 郭力, 等. 计及换流器间动态交互的中压直流配电系统控制参数设计[J]. 电力系统自动化, 2022, 46 (3): 121- 128.
	ZHU Lin, ZHAO Xueshen, GUO Li, et al. Control parameter design of medium-voltage DC distribution system considering dynamic interaction between converters[J]. Automation of Electric Power Systems, 2022, 46 (3): 121- 128.
25	CUPELLI M, ZHU L, MONTI A. Why ideal constant power loads are not the worst case condition from a control standpoint[J]. IEEE Transactions on Smart Grid, 2015, 6 (6): 2596- 2606. DOI

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