Abstract
This chapter presents the application of structured singular value theory (μ) for robust decentralized load frequency control design. System uncertainties and practical constraints are properly considered during a synthesis procedure. The robust performance is formulated in terms of the structured singular value for measuring of control performance within a systematic approach. In this chapter, a decentralized robust model predictive control (MPC)‐based frequency control design is introduced. The MPC controller uses a feed‐forward control strategy to reject the impact of load change. The proposed controller is applied to a three control area power system and the obtained results are compared with the application of ILMI‐based robust PI controller.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Chiu, Y. Arkun, A methodology for sequential design of robust decentralized control systems. Automatica 28, 997–1001 (1992)
J. C. Doyle, Analysis of feedback systems with structured uncertainties. IEE Proc. D 129, 242–250 (1982)
M. Djukanovic, M. Khammash, V. Vittal, Structured singular value theory based stability robustness of power systems, in Proceedings of IEEE Conference on Decision and Control, pp. 2702–2707, 1997
H. Bevrani, Robust load frequency controller in a deregulated environment: A μ-synthesis approach, in Proceedings of IEEE International Conference on Control applications, pp. 616–621, 1999
S. Skogestad, I. Postlethwaite, Multivariable Feedback Control (Wiley, New York, 2000), pp. 397–448
M. Hovd, S. Skogestad, Sequential design of decentralised controllers. Automatica 30, 1601–1607 (1994)
G.J. Balas, J.C. Doyle, K. Glover, A. Packard, R. Smith, μ-Analysis and Synthesis Toolbox for Use with MATLAB (The MathWorks, Natick, 1995)
M. Djukanovic, M. Khammash, V. Vittal, Sequential synthesis of structured singular value based decentralized controllers in power systems. IEEE Trans. Power Syst. 14, 635–641 (1999)
T. Hiyama, Design of decentralised load-frequency regulators for interconnected power systems. IEE Proc. C 129, 17–23 (1982)
T.C. Yang, H. Cimen, Q.M. Zhu, Decentralised load frequency controller design based on structured singular values. IEE Proc. Gener. Transm. Distrib. 145(1), 7–14 (1998)
T.C. Yang, Z.T. Ding, H. Yu, Decentralized power system load frequency control beyond the limit of diagonal dominance. Electr. Power Energy Syst. 24, 173–184 (2002)
H. Bevrani, Y. Mitani, K. Tsuji, Robust load frequency regulation in a new distributed generation environment, in Proceedings of 2003 IEEE-PES General Meeting (CD Record), Toronto, Canada, 2003
L. Wang, Model Predictive Control System Design and Implementation Using MATLAB (Springer, New York, 2008)
A.N. Venkat, I.A. Hiskens, J.B. Rawlings, S.J. Wright, Distributed MPC strategies with application to power system automatic generation control. IEEE Trans. Control Syst. Technol. 16(6), 1192–1206 (2008)
M. Shiroei, A.M. Ranjbar, T. Amraee, A functional model predictive control approach for power system load frequency control considering generation rate constraint. Euro. Trans. Electr. Power (2011). doi:10.1002/etep.653
T.H. Mohammed, H. Bevrani, A.A. Hassan, T. Hiyama, Decentralized model predictive based load frequency control in an interconnected power system. Energy Convers. Manag. 52(2), 1208–1214 (2011)
Q. Shafiee, H. Bevrani, Power System Load-Frequency Predictive Control, Technical report (in Persian), University of Kurdistan, Sanandaj, Iran, June 2010
H. Mohamed, J. Morel, H. Bevrani, A.A. Hassan, T. Hiyama, Model predictive based load frequency control design concerning wind turbines. Int. J. Electr. Power Energy Syst. 43(1), 859–867 (2012)
T.H. Mohamed, J. Morel, H. Bevrani, A.A. Hassan, Y.S. Mohamed, T. Hiyama, Decentralized model predictive-based load-frequency control in an interconnected power system concerning wind turbines. IEEJ Trans. Electr. Electron. Eng. 7, 487–494 (2012)
Q. Shafiee, A Morattab, H. Bevrani, Decentralized model predictive load-frequency control for multi-are interconnected power systems, in 19th Iranian Conference on Electrical Engineering ICEE-2011, Tehran, Iran, 2011
A Morattab, Q. Shafiee, H. Bevrani, Decentralized model predictive load frequency control of deregulated power systems in tough situations, in IEEE PES Trondheim PowerTech 2011, Trondheim, Norway
J. M. Maciejowski, Predictive Control with Constraints (Prentice Hall, London, 2002)
M. Saaj, B. Bandyopadhyay, H. Unbehauen, A new algorithm for discrete-time sliding-mode control using fast output sampling feedback. IEEE Trans. Ind. Electron. 49(3), 518–523 (2002)
K. Vrdoljak, N. Peric, I. Petrovic, Sliding mode based load-frequency control in power systems. Electr. Power Syst. Res. 80(5), 514–527 (2010)
H. Bevrani, Y. Mitani, K. Tsuji, Robust decentralized Load Frequency Control using an iterative linear matrix inequalities algorithm. IEE Proc. Gener. Transm. Distrib. 151(3), 347–354 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bevrani, H. (2014). Application of μ-Theory and MPC in Frequency Control Synthesis. In: Robust Power System Frequency Control. Power Electronics and Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-07278-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-07278-4_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07277-7
Online ISBN: 978-3-319-07278-4
eBook Packages: EnergyEnergy (R0)