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A Short Review of Different Optimal H∞ Robust FACTS Controller Designs

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A review of designing the Optimize Robust FACTS Controller to provide better dynamic performance in power system is presented. The design is carried out applying robustness criteria for stability and performance. Variations of system operation conditions are represented by uncertainty model. Besides, Linear Fractional Transformation (LFT) form together with model reduction techniques are used to design a low order controller which provides fast and stable response under all system conditions. Furthermore, comparison different H∞ robust approaches specify advantages and disadvantages of every method. It is shown that one method has more flexibility and convenience.
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FACTS; Optimal Robust Control; LQG; Mixed Sensitivity; µ Synthesis; Loop Shaping

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Y. H. Song, A. T. Johns, Flexible ac transmission systems (FACTS), IEE power and energy series 30, 1999.

IEEE WORKING GROUP, Static VAR compensator models for power flow and dynamic performance simulation, IEEE Trans. PWRS-9, (1), 1994, pp. 229-240

M. Parniani, M. R. Iravani, Voltage control stability and dynamic interaction phenomena of static VAR compensators, IEEE Trans. PWRS-10, (3), 1995, pp. 1592-1597.

F. F. Seyed, A. H. Rahim, J. M. BA Khashwain, Robust STATCOM controller design using PSO based automatic loop shaping procedure, Proceeding of the IEEE conference on control application, Toronto, Canada, 2005, pp.440-445.

M. Hedayati, H. Oraee, Assessment study of shunt facts devices for improving dynamic behavior of induction motors , IEEE Proc, PEDS, Kuala Lumpur, Malaysia , 2005.

F. Delfino, and R. Procopio, The use of the SSC as reactive power compensator, Electrical power quality and utilization journal, vol. XIII, No.2, 2007, pp.39-47.

F. Delfino, R. Procopio, An effective SSC control scheme for voltage sag compensation, IEEE Trans. PWRD-20, (3), 2005, pp.2100-2107.

M. M. FarsangI, Y. H. Song, W. L. Fanng, X. F. Wang, Robust facts control design using the H∞ method, IEE Proc, Gener. Transm. Distrb, 2002, 149, (3), pp.352-358.

M. Hedayati, Variable Structure Control (VSC) of FACTS for improving dynamic behavior of induction motors, Proc of Med Power Conference, Athens, Greece, 2002.

K. Lee Liou, Y. Yih Hsu, Damping of generator oscillations using static VAR compensators, IEEE Trans, Aerosp. Electron. Syst., 1986, 22, (5), pp. 605-617.

B. Pal, B. Chaudhuri, Robust control in power systems, Springer, 2005.

K. Zhou, J. Doyle, K. Glover, Robust and optimal control, Prentice Hall, 1995.

M. Green, D. Limebeer, Linear robust control, (Prentice Hall), 1996.

Q. Zhao, J. Njiang, Robust SVC controller design for improving power system damping, IEEE Trans.PWRS-10,(4), 1995, pp.1927-1932.

M. Parniani, M. R. Iravani, Optimal robust control design of static VAR compensator’, IEEE Proc., Gener, Transm, Distrib1998, 145, (3), pp. 301-307.

M. Yue, and R. Schlueter, A µ synthesis robust SVC control design, IEEE Trans, 2003, pp.705- 710.

S. Skogestad, I. Postethwaite, Multivariable feedback control, analysis and design, John Wiley, 1996.

M. M. Farsangi, Y. H. Song, and Y. Z. Sun, Supplementary control design of SVC and STATCOM using H∞ optimal robust control, Proc of International Conference on Electric Utility deregulation and Restructuring and Power Technology, London, England, 2000,pp.355-360.

W. Gu, F. Milano, P. Jiang, and G. Tang, Hopf bifurcations induced by SVC controllers: A didactic example, Elsevier, Electric Power Systems Research 77, 2007, pp. 234-240.

M. Klein, L. X. Le, G. J. Rogers, S. Farrokhpay, and N. J. BALU, H∞ Damping Controller Design in Large Power Systems, IEEE Trans on PWRS -10, (1), 1995.


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