Delay-dependent stability for load frequency control with constant and time-varying delays

IEEE Transactions on Power Systems

Volumn 27, Issue 2, 2012, Pages 932-941

  Jiang, L ^a   Yao, W ^a   Wu, Q H ^a   Wen, J Y ^b   Cheng, S J ^b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Constant time delay; delay margin; delay dependent stability; load frequency control; time varying delay

Indexed keywords

CONSTANT TIME DELAYS; DELAY MARGIN; DELAY-DEPENDENT STABILITY; LOAD-FREQUENCY CONTROL; TIME-VARYING DELAY;

CONTROLLERS; DELAY CONTROL SYSTEMS; ELECTRIC CONTROL EQUIPMENT; ELECTRIC FREQUENCY CONTROL; LINEAR MATRIX INEQUALITIES; PRESS LOAD CONTROL; STABILITY; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

ELECTRIC LOAD MANAGEMENT;

EID: 84860250348     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2011.2172821     Document Type: Article

References (28)

1. P.Kundur, Power System Stability and Control . New York: McGraw- Hill, 1994.
2. F. F. Wu, K. Moslehi, and A. Bose, " Power system control centers: past, present, and future," Proc. IEEE, vol. 93, no. 11, pp. 1890-1908, Nov. 2005. (Pubitemid 41619230)
3. I. P. Kumar and D. P. Kothari, " Recent philosophies of automatic generation control strategies in power systems " IEEE Trans. Power Syst., vol. 20, no. 1, pp. 346-357, Feb. 2005. (Pubitemid 40259454)
4. K. Tomsovic, D. E. Bakken, V. Venkatasubramanian, and A. Bose, "Designing the next generation of real-time control, communication, and computations for large power systems " Proc. IEEE , vol. 93, no. 5, pp. 965-979, May 2005. (Pubitemid 40891829)
5. S. Bhowmik, K. Tomsovic, and A. Bose, " Communication models for third party load frequency control," IEEE Trans. Power Syst. , vol. 19, no. 1, pp. 543-548, Feb. 2004.
6. D. Rerkpreedapong, A. Hasanovic, and A. Feliachi, " Robust load frequency control using genetic algorithms and linear matrix inequalities " IEEE Trans. Power Syst. , vol. 18, no. 2, pp. 855-861, May 2003.
7. H. Shayeghi, H. A. Shayanfar, and A. Jalili, " Multi-stage fuzzy PID power system automatic generation controller in deregulated environments " Energy Convers. Manage. , vol. 47, no. 18, pp. 2829-2845, Nov. 2006. (Pubitemid 44051721)
8. X. F. Yu and K. Tomsovic, " Application of linear matrix inequalities for load frequency control with communication delays " IEEE Trans. Power Syst. , vol. 19, no. 3, pp. 1508-1515, Aug. 2004.
9. K. Vrdoljak, I. Petrovic, and N. Peric, " Discrete-time sliding mode control of load frequency in power systems with input delay " in Proc. 12th Int. Power Electronics and Motion Control Conf., EPE-PEMC, Potoroz, Slovenia, Aug. 2006, pp. 567-572.
10. H. Bevrani and T. Hiyama, " A control strategy for LFC design with communication delays," in Proc. 7th Int. Power Engineering Conf. , Nov. 2, 2005, vol. 2, pp. 1087-1092.
11. H. Bevrani and T. Hiyama, " Robust decentralised PI based LFC design for time delay power systems," Energy Convers. Manage. , vol. 49, no. 2, pp. 193-204, Feb. 2008. (Pubitemid 350148108)
12. L. Yang et al. , " A preliminary study of AGC structure for a regional system considering communication delays," in Proc. IEEE Power and Energy Soc. General Meeting , Jun. 2005, pp. 618-623. (Pubitemid 41496986)
13. H. Bevrani and T. Hiyama, " On load-frequency regulation with time delays: design and real-time implementation " IEEE Trans. Energy Convers. , vol. 24, no. 1, pp. 292-300, Mar. 2009.
14. H. J. Jia and X. D. Yu, " A simple method for power system stability analysis with multiple time delays " in Proc. IEEE Power and Energy So. General Meeting , Jul. 20-24, 2008.
15. N. Olgac and R. Sipahi, " An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems " IEEE Trans. Autom. Control , vol. 47, no. 5, pp. 793-797, May 2002. (Pubitemid 34692263)
16. R. Sipahi and N. Olgac, " Complete stability robustness of third-order LTI multiple time-delay systems " Automatica , vol. 41, no. 8, pp. 1413-1422, Aug. 2005. (Pubitemid 40774097)
17. Z. Y. Liu, C. Z. Zhu, and Q. Y. Jiang, " Stability analysis of time delayed power system based on cluster treatment of characteristic roots method " in Proc. IEEE Power and Energy Soc. General Meeting , Jul. 20-24, 2008.
18. Y. He, Q. G. Wang, L. H. Xie, and C. Lin, " Further improvement of free-weighting matrices technique for systems with time-varying delay," IEEE Trans. Autom. Control , vol. 52, no. 2, pp. 293-299, Feb. 2007. (Pubitemid 46444284)
19. M.Wu, Y. He, J. H. She, and G. P. Liu, " Delay-dependent criterion for robust stability of time-varying delay systems " Automatica , vol. 40, no. 8, pp. 1435-1439, Aug. 2004.
20. S. Y. Xu and J. Lam, " On equivalence and efficiency of certain stability criteria for time-delay systems," IEEE Trans. Autom. Control , vol. 52, no. 1, pp. 95-101, Jan. 2007. (Pubitemid 46344002)
21. Y. He, M. Wu, and J. H. She, " Delay-dependent stability criteria for linear systems with multiple time delays " Proc. Inst. Elect. Eng.: Control Theory Appl., vol. 153, no. 4, pp. 447-452, Jul. 2006. (Pubitemid 43781898)
22. W. Yao, L. Jiang, Q. H.Wu, J. Y.Wen, and S. J. Cheng, " Delay-dependent stability analysis of the power system with a wide-area damping controller embedded " IEEE Trans. Power Syst., vol. 29, no. 1, pp. 233-240, Feb. 2011.
23. H. Bevrani, Robust Power System Frequency Control . New York: Springer, 2009.
24. V. Donde, M. A. Pai, and I. A. Hiskens, " Simulation and optimization of in an AGC after deregulation," IEEE Trans. Power Syst. , vol. 16, no. 3, pp. 481-489, Aug. 2001.
25. K. Vrdoljak, N. Perivc, and I. Petrovivc, " Sliding mode based loadfrequency control in power systems," Elect. Power Syst. Res. , vol. 80, no. 5, pp. 514-527, May 2010.
26. W. Tan and Z. Xu, " Robust analysis and design of load frequency controller for power systems," Elect. Power Syst. Res. , vol. 79, no. 5, pp. 846-853, 2009.
27. W. Tan, " Unified tuning of PID load frequency controller for power systems via IMC " IEEE Trans. Power Syst. , vol. 25, no. 1, pp. 341-350, Feb. 2010.
28. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox User's Guide . Natick, MA: MathWorks, 2000.