Abstract
Inter-area oscillations in power systems are triggered by, for example, disturbances such as variation in load demand or the action of voltage regulators due to a short circuit. The primary function of the damping controllers is to minimize the impact of these disturbances on the system within the limited dynamic rating of the actuator devices (excitation systems, FACTS-devices). In H ∞ control term, this is equivalent to designing a controller that minimizes the infinity norm of a chosen mix of closed-loop quantities.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Klein, M., Le, L.X., Rogers, G.J., Farrokpay, S., Balu, N.J.: H∞ damping controller design in large power system. IEEE Transactions on Power Systems 10(1), 158–166 (1995)
Zhao, Q., Jiang, J.: Robust SVC controller design for improving power system damping. IEEE Transactions on Power Systems 10(4), 1927–1932 (1995)
Kamwa, I., Trudel, G., Gerin-Lajoie, L.: Robust design and coordination of multiple damping controllers using non-linear constrained optimization. IEEE Transactions on Power Systems 15(3), 1084–1092 (2000)
Taranto, G.N., Chow, J.H.: A robust frequency domain optimization technique for tuning series compensation damping controllers. IEEE Transactions on Power Systems 10(3), 1219–1225 (1995)
Pal, B.C., Chaudhuri, B.: Robust Control in Power in Power Systems. Springer, USA (2005)
Boukarim, G.E., Wang, S., Chow, J.H., Taranto, G.N., Martins, N.: A comparison of classical, robust and decentralized control designs for multiple power system stabilizer. IEEE Transactions on Power Systems 15(4), 1287–1292 (2000)
Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control. John Wiley and Sons, UK (2001)
Zhou, K., Doyle, J., Glover, K.: Robust and Optimal Control. Prentice-Hall, USA (1995)
Sefton, J., Glover, K.: Pole/zero cancellations in the general H ∞ problem with reference to a two block design. Systems and Control Letters 14, 295–306 (1990)
Pal, B.C., Coonick, A.H., Jaimoukha, I.M., Zobaidi, H.: A linear matrix inequality approach to robust damping control design in power systems with superconducting magnetic energy storage device. IEEE Transaction on Power Systems 15(1), 356–362 (2000)
Gahinet, P., Apkarian, P.: A linear matrix inequality approach to H1 control. International Journal of Robust and Non-linear Control 4(4), 421–448 (1994)
Rao, P.S., Sen, I.: Robust pole placement stabilizer design using linear matrix inequalities. IEEE Transactions on Power Systems 15(1), 313–319 (2000)
Taranto, G.N., Wang, S., Chow, J.H., Martins, N.: Decentralized design of power system damping controllers using a linear matrix inequality algorithm. In: Proceedings of VI SEPOPE (1998)
Pal, B.C., Coonick, A.H., Cory, B.J.: Robust damping of inter area oscillations in power systems with superconducting magnetic energy storage devices. IEEE Proceedings on Generation Transmission and Distribution 146(6), 633–639 (1999)
Pal, B.C., Coonick, A.H., Cory, B.J.: Linear matrix inequality versus root-locus approach for damping inter-area oscillations in power systems. International Journal on Electrical Power Energy Systems 23(6), 481–489 (2001)
Chaudhuri, B., Pal, B.C., Zolotas, A.C., Jaimoukha, I.M., Green, T.C.: Mixed-sensitivity approach to H1 control of power system oscillations employing multiple facts devices. IEEE Transactions on Power Systems 18(3), 1149–1156 (2003)
Chaudhuri, B., Pal, B.C.: Robust damping of multiple swing modes employing global stabilizing signals with a TCSC. IEEE Transactions on Power Systems 19(1), 499–506 (2004)
Matlab Users Guide. The Math Works Inc., USA (1998)
Paserba, J.: Analysis and control of power system oscillation. CIGRE Special Publication 38.01.07, Technical Brochure 111 (1996)
Chilali, M., Gahinet, P.: Multi-objective output feedback control via LMI optimization. IEEE Transactions on Automatic Control 42(7), 896–911 (1997)
Scherer, C., Gahinet, P., Chilali, M.: H1 design with pole placement constraints: An LMI approach. IEEE Transactions on Automatic Control 41(3), 358–367 (1996)
Gahinet, P., Nemirovski, A., Laub, A.J., Chilali, M.: LMI Control Toolbox for use with Matlab. The Math Works Inc., USA (1995)
Using Simulink. The Math Works Inc., USA (2002)
Heydt, G.T., Liu, C.C., Phadke, A.G., Vittal, V.: Solutions for the crisis in electric power supply. IEEE Computer Applications in Power 14(3), 22–30 (2001)
Xie, Z., Manimaran, G., Vittal, V., Phadke, A.G., Centeno, V.: An information architecture for future power systems and its reliability analysis. IEEE Transactions on Power Systems 17(3), 857–863 (2002)
Chow, J.H., Sanchez-Gasca, J.J., Ren, H., Wang, S.: Power system damping controller design using multiple input signals. IEEE Control Systems Magazine 20(4), 82–90 (2000)
Zhong, Q.C.: H1 control of dead time systems based on a transformation. Automatica (39), 361–366 (2003)
Smith, O.J.M.: Closer control of loops with dead time. Chem. Eng. Progress 53(5), 217–219 (1957)
Smith, O.J.M.: Feedback Control Systems. McGraw-Hill Book Company Inc., USA (1958)
Wantanable, K., Ito, M.: A process-model control for linear systems with delay. IEEE Transactions on Automatic Control 26(6), 1261–1269 (1981)
Zhong, Q.-C., Weiss, G.: A unified smith predictor based on the spectral decomposition of the plant. International Journal of Control 77(15), 1362–1371 (2004)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Zhang, XP., Rehtanz, C., Pal, B. (2012). Linear Control Design and Simulation of Power System Stability with FACTS. In: Flexible AC Transmission Systems: Modelling and Control. Power Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28241-6_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-28241-6_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28240-9
Online ISBN: 978-3-642-28241-6
eBook Packages: EngineeringEngineering (R0)