Decentralized robust control strategy of islanded DC-MG based on convex polytopic model

Abstract

Abstract: In an isolated DC microgrid with a general topology composed of multiple distributed generation units, distributed generation unit plug and play, sudden load changes, and topology changes will affect the stable operation of the system. To solve the problem, various uncertainties in the islanded DC microgrid are described using a convex polytope mode. The asymptotic stability conditions of the distributed generation unit subsystem and microgrid system are obtained based on the extended linear matrix inequality constraints, and the dynamic performance of the distributed generation unit is improved by closed-loop pole position constraints. On this basis, the convex optimization problem of distributed generation units is solved, and a decentralized robust controller for isolated DC microgrids based on a convex polyhedron model is obtained. The simulation results show that compared with the performance of a decentralized Robust control system based on a parameter deterministic model, the proposed method can effectively restrain the voltage fluctuation of the DC microgrid system, thus improving the stability of the DC microgrid system.

Key words: DC microgrid, decentralized control, convex polytopic model, linear matrix inequality, plug and play

CLC Number:

TM712

WANG Xiao-lan, ZHANG Liang-liang, GUO Tong-ji. Decentralized robust control strategy of islanded DC-MG based on convex polytopic model[J]. Journal of Lanzhou University of Technology, 2025, 51(6): 90-98.

References

[1] 李霞林,郭力,王成山,等.直流微电网关键技术研究综述[J].中国电机工程学报,2016,36(1):2-17.
[2] 吴卫民,何远彬,耿攀,等.直流微网研究中的关键技术[J].电工技术学报,2012,27(1):98-106.
[3] 王成山,李微,王议锋,等.直流微电网母线电压波动分类及抑制方法综述[J].中国电机工程学报,2017,37(1):84-98.
[4] 吴丽珍,刘腾飞,郝晓弘.孤岛微电网电压不平衡补偿及负序电流均分协同控制策略[J].兰州理工大学学报,2019,45(3):77-84.
[5] 董继军,陈浩,周雪松,等.直流微电网孤岛运行控制策略研究[J].电力系统保护与控制,2020,48(17):115-121.
[6] 姜碧佳,叶远茂.直流微电网的控制技术综述[J].广东电力,2020,33(5):1-10.
[7] NASIRIAN V,DAVOUDI A,LEWIS F L,et al.Distributed adaptive droop control for DC distribution systems[J].IEEE Transactions on Energy Conversion,2014,29(4):944-956.
[8] MEHDI M,SAAD M,JAMALI S Z,et al.Output feedback based robust controller for uncertain DC islanded microgrid[J].Transactions of the Institute of Measurement and Control,2020,42(6):1239-1251.
[9] MEHDI M,JAMALI S Z,KHAN M O,et al.Robust control of a DC microgrid under parametric uncertainty and disturbances[J].Electric Power Systems Research,2020,179:106074.
[10] 王晓兰,侯天玉,宫玮丽,等.基于Tube不变集的直流微电网鲁棒模型预测控制[J].电力系统保护与控制,2020,48(17):9-17.
[11] SADABADI M S,SHAFIEE Q.Scalable robust voltage control of DC microgrids with uncertain constant power loads[J].IEEE Transactions on Power Systems Electric Power,2020,35(1):508-515.
[12] TUCCI M,RIVERSO S,VASQUEZ J C,et al.A decentralized scalable approach to voltage control of DC islanded microgrids[J].IEEE Transactions on Control Systems Technology,2016,24(6):1965-1979.
[13] VENKATASUBRAMANIAN V,SCHATTLER H,ZABORSZKY J,et al.Fast time-varying phasor analysis in the balanced three-phase large electric power system[J].IEEE Transactions on Automatic Control,1995,40(11):1975-1982.
[14] TUCCI M,RIVERSO S,FERRARI-TRECATE G.Line-independent plug-and-play controllers for voltage stabilization in DC microgrids[J].IEEE Transactions on Control Systems Technology,2018,26(3):1115-1123.
[15] SHAFIEE-RAD M,SADABADI M S,SHAFIEE Q,et al.Robustst decentralized voltage control for uncertain DC microgrids[J].International Journal of Electrical Power and Energy Systems,2021,125:106468.
[16] 徐式蕴,孙华东,易俊,等.基于凸多面体理论的交直流系统鲁棒分散协调控制[J].中国电机工程学报,2015,35(23):5968-5975.
[17] SADABADI M S,SHAFIEE Q,KARIMI A.Plug-and-Play voltage stabilization in inverter interfaced microgrids via a robust control strategy[J].IEEE Transactions on Control Systems Technology,2017,25(3):781-791.
[18] 支娜,张辉,肖曦,等.分布式控制的直流微电网系统级稳定性分析[J].中国电机工程学报,2016,36(2):368-378.
[19] 陈柔伊,张尧,钟庆,等.不确定互联电力系统的分散鲁棒控制[J].电工技术学报,2009,24(10):139-146.
[20] DERAKHSHAN S,SHAFIEE-RAD M,SHAFIEE Q,et al.Decentralized voltage control of autonomous DC microgrids with robust performance approach[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2021,9(5):5508-5520.
[21] 俞立.鲁棒控制:线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.