An LMI Approach with Pole Placement Objective for the Design of Robust SSSC Controller for Damping Inter-Area Mode Oscillation Considering Global Signal

  • Authors

    • Bhavin J Shah
    • G N Pillai
    • Pramod Agarwal
  • Inter- area mode oscillations, H∞ control, Linear Matrix Inequalities (LMI), Load composition uncertainties, Phasor Measurement Unit (PMU), Static Synchronous Series Capacitor (SSSC), Wide Area Measurements (WAMs), Wide Area Damping Controller (WADC).
  • This paper presents robust Static Synchronous Series Capacitor (SSSC) controller design using LMI approach with pole placement objective. The controller is designed for damping of inter-area mode oscillations in two area four machine test system considering a global signal. The control signals are obtained from wide area measurements (WAMs) system. Residue analysis is performed to decide best input signal to the controller. The mixed sensitivity approach in Linear Matrix Inequality (LMI) formulation is used to design thedamping controller. The uncertainty in load model composition results in the inaccurate estimation of the designed controller capability. So, different load model compositions including static and dynamic loads are considered here. Various contingency conditions are applied for testing the designed controller. The designed controller provides sufficient damping for such contingent conditions.


  • References

    1. [1] Hingorani NandGyugyiL.Understanding FACTS.NewYork, IEEE Press, 2000.Klein M, Rogers G and Kundur P. A fundamental study of Inter-area Oscillations. IEEE Trans Power Systems, Volume 6, Number 3, August 1991, pp 914-921.

      [2] Paserba J. Analysis and Control of Power System Oscillations.CIGRE Special Publication 38.01.07, Vol. Tech. Brochure 111,1996.

      [3] AbidoM A and Abdel-Magid YL. Analysis of power system stability enhancement via excitation and FACTS-based stabilizers.Electric Power Components and Systems, 32:75–91, 2004.

      [4] You R, Nehrir MH and Pierre DA. Controller design for SVC and TCSC to enhance damping of power system oscillations. Electric Power Components and Systems, 35:871–884, 2007.

      [5] IEEE Power Engineering Society, FACTS Applications, Publication 96TP116-0,IEEE Press, New York, 1996.

      [6] Varma RK and Sidhu T. Bibliographic Review of FACTS and HVDC Applications in Wind Power Systems. International Journal of Emerging Electric Power Systems, Vol. 7: No. 3, Article 7, Berkeley Electronic Press, USA, 2006.

      [7] Kamwa I,Gronding R and Hebert Y. Wide area measurement based stabilizing control of large power system- a decentralized/hierarchical approach. IEEE Trans Power System, Volume 21, number 1, pp. 136-53, February 2001.

      [8] Phadke A G. Synchronized phasor measurements—a historical overview.Transmission and Distribution Conference and Exhibition: Asia Pacific, pp. 416–479, Yokohama, Japan, October 2002.

      [9] Klein M, Le L, Rogers G, Farrokpay S and Balu N. H∞ damping controller design in the large power system. IEEE Trans Power Sys, Vol. 10, pp. 158-166, Feb. 1995.

      [10] Sefton J and Glover K. Pole/zero cancellation in the general H∞ problem with reference to a two-block design. Systems and Controls letters, Vol.14, pp. 295-306, 1990.

      [11] Gahinet P and Apkarian P. A linear matrix inequality approach to H∞ control", Int. J. Robust and Non-linear control, Vol.4, pp. 421-448,1994.

      [12] Rao P and Sen I. Robust pole placement stabilizer design using linear matrix inequality. IEEE Trans Power Sys, Vol. 15, pp. 313-319, Feb. 2000.

      [13] Ishimaru M, Yokoyama R, Shirai G and Niimura T. Robust thyristor controlled series capacitor controller design based on linear matrix inequality for a multi-machine power system. Int. J. of electrical power and energy systems, 24(2002), pp. 621-629.


      [14] Pal A, Thorp JS, Veda S S and Centeno V.A. Applying a robust control technique to damp low-frequency oscillations in the WECC. Int. J. of electrical power and energy systems, 44(2013), pp. 638-645.

      [15] FarsangiM M, Song YH and Tan M. Multi-objective design of damping controllers of FACTS devices via a mixed H2/ H∞ with regional pole placement. Int. J. of electrical power and energy systems, 25(2003), pp. 339-346.

      [16] Roger G., Power System Oscillations,Boston: MA: Kluwer, 2000.

      [17] Skogestad Sand Postlethwaite I.Multivariable Feedback Control: Analysis and Design. New York: Wiley, 2000.

      [18] Safonov M G and Chiang R Y. A Schur method for balanced load model reduction.

      [19] IEEE Trans on automatic control, Vol. AC-34, No.7, pp. 729-33, 1989.

      [20] Concordia C and Ihara S. Load representation in power system stability studies. IEEE Trans on power apparatus and systems, Vol. PAS-101, No.4, pp. 969-976, April 1982.

      [21] IEEE task force on load representation for dynamic performance. Load representation for dynamic performance analysis. IEEE Trans on Power Sys, Vol. 8, No.2, pp. 472-482, May 1993.

      [22] Kundur P. Power system stability and control. New York, McGraw Hill,1994.

  • Downloads

  • How to Cite

    J Shah, B., N Pillai, G., & Agarwal, P. (2018). An LMI Approach with Pole Placement Objective for the Design of Robust SSSC Controller for Damping Inter-Area Mode Oscillation Considering Global Signal. International Journal of Engineering & Technology, 7(3.12), 1017-1024.