A Wide Range Robust PSS Design Based on Power System Pole-Placement Using Linear Matrix Inequality

Mohammad Ataei; Rahmat-Allah Hooshmand; Moein Parastegari

doi:10.2478/v10187-012-0033-7

Abstract

In this paper, a new method for robust PSS design based on the power system pole placement is presented. In this stabilizer, a feedback gain matrix is used as a controller. The controller design is proposed by formulating the problem of robust stability in a Linear Matrix Inequality (LMI) form. Then, the feedback gain matrix is designed based on the desired region of the closed loop system poles. This stabilizer shifts the poles of the power system in different operational points into the desired regions in s-plane, such that the response of the power system will have proper damping ratio in all the operational points. The uncertainties of the power system parameters are also considered in this robust technique. Finally, in order to show the advantages of the proposed method in comparison with conventional PSS, some simulation results are provided for a power system case study in different operational points.

References

ANDERSON, P. M.—FOUAD, A. A.: Power System Control and Stability, IEEE Press, 2002.10.1109/9780470545577
Search in Google Scholar
YU, Y. N.: Electric Power System Dynamic Stability, Academic press, 1983.
Search in Google Scholar
ATAEI, M.—HOOSHMAND, R.—PARASTEGARI, M.: Self-Tuning Power System Stabilizer Design Based on Pole Assignment and Pole-Shifting Techniques, Journal of Applied Sciences 8 No. 8 (2008), 1406-1415.10.3923/jas.2008.1406.1415
Search in Google Scholar
WERNER, H.—KORBA, P.—YANG, T. C.: Robust Tuning of Power System Stabilizers Using LMI-Techniques, IEEE Trans. on Control Systems Technology 11 No. 1 (Jan 2003), 147-152.10.1109/TCST.2002.806449
Search in Google Scholar
SOLIMAN, M.—EMARA, H.—ELSHAFEI, A.—BAHGAT, A.—MALIK, O. P.: Robust Output Feedback Power System Stabilizer Design: an LMI Approach, IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, July 2008, pp. 1-8.10.1109/PES.2008.4596450
Search in Google Scholar
CHILALI, M.—GAHINET, P.: H∞ Design with Pole Placement Constraints: An LMI approach, IEEE Trans. on Automatic Control 41 No. 3 (Mar 1996), 358-367.10.1109/9.486637
Search in Google Scholar
RAO, P. S.—SEN, I.: Robust Pole Placement Stabilizer Design Using Linear Matrix Inequalities, IEEE Trans. Power Systems 15 No. 1 (Feb 2000), 313-319.10.1109/59.852138
Search in Google Scholar
GUPTA, R.—BHATIA, D.: Comparison of Robust Fuzzy Logic and Fast Output Sampling Feedback Based Power System Stabilizer for SMIB, IEEE International Conf. on Industrial Technology, Dec 2006, pp. 1031-1036.10.1109/ICIT.2006.372298
Search in Google Scholar
CHOW, J. T.—HARRIS, P.—OTHMAN, H. A.—SNNCHEAGUSCA, J. J.—TERWILLIGER, C. E.: Robust Control Design of Power System Stabilizers Using Multivariable Frequency Domain Techniques, in Proc. 29th IEEE Conf. on Decision and Control, Hawai, Dec 1990, pp. 2067-2073.10.1109/CDC.1990.203988
Search in Google Scholar
SCAVONI, F. E.—de SILVA, A. S.—NETO, A. T.—CAMPAGNOLO, J. M.: Design of Robust Power System Controllers using Linear Matrix Inequalities, Proc. 2001 IEEE Porto Power Tech Conf., vol. 2, Sep 2001, pp. 1-6.
Search in Google Scholar
JIANYING, H. G.—RONG, X.—WEIGUO, L.—SHUANQIN, X.: H Infinity Controller Design of the Synchronous Generator, International Conference on Intelligent Computation Technology and Automation (ICICTA), vol. 1, Oct 2008, pp. 370-374.
Search in Google Scholar
DEHGHANI, M.—NIKRAVESH, S. K. Y.: Robust Tuning of PSS Parameters Using the Linear Matrix Inequalities Approach, IEEE Power Tech 2007 Lausanne, July 2007, pp. 322-326.10.1109/PCT.2007.4538337
Search in Google Scholar
JOO, K. S.—MOON, K. S.—HYUN, Y.—KOOK-HUN, K.: Low-Order Robust Power System Stabilizer for Single-Machine Systems: an LMI Approach, 32nd Annual IEEE Conf. on Industrial Electronics, IECON 2006, Nov 2006, pp. 742-747.
Search in Google Scholar
GUPTA, R.—BANDYOPADHYAY, B.—KULKARNI, A. M.: Design of Power System Stabilizer for Single-Machine System using Robust Periodic Output Feedback Controller, Proc. 2003 IEE Generator Transmission Distribution Conf., vol. 150, Mar 2003, pp. 211-216.
Search in Google Scholar
JIANYING, G.—RONG, X.—WEIGUO, L.—SHUANQIN, X.: H∞ Controller Design of the Synchronous Generator, International Conf on Intelligent Computation Technology and Automation (ICICTA), vol. 1, Oct 2008, pp. 370-374.
Search in Google Scholar
SHIAU, J. K.—CHOW, J. H.—BOUKARIM, G.: Power Swing Damping Controller Design using Linear Matrix Inequality Algorithm, Proc. IEEE Conf Control Application, vol. 2, Sep 1996, pp. 727-732.
Search in Google Scholar
El-RAZAZ, Z. S.—MANDOR, M. E. D.—ALI, E. S.: Damping Controller Design for Power Systems Using LMI and GA Techniques, Proceedings of the 41st International Universities Power Engineering Conf., vol. 2, Sep 2006, pp. 500-506.10.1109/UPEC.2006.367528
Search in Google Scholar
JUHUA,—KROGH, B. H.—ILIC, M. D.: Saturation-Induced Frequency Instability in Electric Power Systems, IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, July 2008, pp. 1-7.
Search in Google Scholar
BEVRANI, H.—HIYAMA, T.: Stability and Voltage Regulation Enhancement using an Optimal Gain Vector, Proc. IEE Power Engineering Society Conf., June 2006, pp. 1-8.10.1109/PES.2006.1708999
Search in Google Scholar
BOYD, S.—FERON, E.—BALAKRISHNAN, V.—GHAOUI, E. L.: Linear Matrix Inequalities in System and Control Theory, Studies in Applied Mathematics, SIAM, Philadelphia PA, 1994.10.1137/1.9781611970777
Search in Google Scholar
GAHINET, P.—NEMIKOVSKI, A.—LAUR, A. J.—CHILALI, M.: LMI Control Toolbox for use with Matlab, The Mathworks Inc., Natick, MA, 1995.
Search in Google Scholar
CHILALI, M.—GAHINET, P.: H∞ Design with Pole Placement Constraints: An LMI Approach, IEEE Trans. Automatic Control 41 No. 3 (Mar 1996), 358-367.10.1109/9.486637
Search in Google Scholar

A Wide Range Robust PSS Design Based on Power System Pole-Placement Using Linear Matrix Inequality

Abstract

Paradigm

My account