Robustness of distributed averaging control in power systems: Time delays & dynamic communication topology

被引:73
作者
Schiffer, Johannes [1 ]
Doerfler, Florian [2 ]
Fridman, Emilia [3 ,4 ]
机构
[1] Univ Leeds, Sch Elect & Elect Engn, Leeds LS2 9JT, W Yorkshire, England
[2] Swiss Fed Inst Technol, Swiss Fed Inst Technol, Automat Control Lab, CH-8092 Zurich, Switzerland
[3] Tel Aviv Univ, IL-69978 Tel Aviv, Israel
[4] ITMO Univ, 49 Ave Kronverkskiy, St Petersburg 197101, Russia
基金
欧盟地平线“2020”; 以色列科学基金会;
关键词
Power system stability; Cyber-physical systems; Time delays; Distributed control; PORT-HAMILTONIAN SYSTEMS; SWITCHING TOPOLOGY; STABILITY; NETWORKS; MICROGRIDS; CONSENSUS; AGENTS;
D O I
10.1016/j.automatica.2017.02.040
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Distributed averaging-based integral (DAI) controllers are becoming increasingly popular in power system applications. The literature has thus far primarily focused on disturbance rejection, steady-state optimality and adaption to complex physical system models without considering uncertainties on the cyber and communication layer nor their effect on robustness and performance. In this paper, we derive sufficient delay-dependent conditions for robust stability of a secondary-frequency-DAI-controlled power system with respect to heterogeneous communication delays, link failures and packet losses. Our analysis takes into account both constant as well as fast-varying delays, and it is based on a common strictly decreasing Lyapunov-Krasovskii functional. The conditions illustrate an inherent trade-off between robustness and performance of DAI controllers. The effectiveness and tightness of our stability certificates are illustrated via a numerical example based on Kundur's four-machine-two-area test system. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:261 / 271
页数:11
相关论文
共 51 条
[31]  
Pedersen R, 2016, 2016 EUROPEAN CONTROL CONFERENCE (ECC), P1782, DOI 10.1109/ECC.2016.7810549
[32]  
Schiffer J., 2015, THESIS
[33]  
Schiffer J, 2016, 2016 EUROPEAN CONTROL CONFERENCE (ECC), P1487, DOI 10.1109/ECC.2016.7810500
[34]   Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation [J].
Schiffer, Johannes ;
Fridman, Emilia ;
Ortega, Romeo ;
Raisch, Joerg .
AUTOMATICA, 2016, 74 :71-79
[35]   A survey on modeling of microgrids-From fundamental physics to phasors and voltage sources [J].
Schiffer, Johannes ;
Zonetti, Daniele ;
Ortega, Romeo ;
Stankovic, Aleksandar M. ;
Sezi, Tevfik ;
Raisch, Joerg .
AUTOMATICA, 2016, 74 :135-150
[36]  
Schiffer J, 2015, IEEE DECIS CONTR P, P6391, DOI 10.1109/CDC.2015.7403226
[37]   Conditions for stability of droop-controlled inverter-based microgrids [J].
Schiffer, Johannes ;
Ortega, Romeo ;
Astolfi, Alessandro ;
Raisch, Joerg ;
Sezi, Tevfik .
AUTOMATICA, 2014, 50 (10) :2457-2469
[38]  
Schiffer J, 2013, IEEE DECIS CONTR P, P2334, DOI 10.1109/CDC.2013.6760229
[39]   Synchronization and power sharing for droop-controlled inverters in islanded microgrids [J].
Simpson-Porco, John W. ;
Doerfler, Florian ;
Bulbo, Francesco .
AUTOMATICA, 2013, 49 (09) :2603-2611
[40]  
Stegink T., 2016, IEEE T AUTOMATIC CON, P1