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LQR and LQG based optimal switching techniques for PSS and UPFC in power systems

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Abstract

Selection of better optimized unified power flow controller (UPFC) control inputs along with simultaneous coordinated design of power system stabilizer (PSS) is a challenge in the present scenario of power systems. Hence, in this paper, four sets of experiments performed are presented. First set of experiments are without disturbance scenario where switching is done using linear quadratic regulators (LQR’s). Second set is for power systems with disturbances using linear quadratic gaussian (LQG). Switching control algorithms presented here are tested on the single machine infinite bus (SMIB) linearised Phillips Heffron model of power system using MATLAB/SIMULINK® platform.

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References

  1. A. M. Yousef, A M. Kassem. Optimal power system stabilizer based enhancement of synchronizing and damping torque coefficients. WSEAS Transactions on Power Systems, 2012, 7(2): 70–79.

    Google Scholar 

  2. H. N. Al-Duwaisha, Z. M. Al-Hamouz. A neural network based adaptive sliding mode controller: application to a power system stabilizer. Energy Conversion and Management, 2011, 52(2): 1533–1538

    Article  Google Scholar 

  3. G. X. Athanasius, Hemanshu R. Pota, V. Ugrinovskii. Robust decentralized switching power system stabilisers for interconnected power grids: stability us. IFAC Proceedings Volumes, 2008, 41(2): 8419–8424.

    Article  Google Scholar 

  4. V. Bandal, B. Bandyopadhyay, A. M. Kulkarni. Output feedback fuzzy sliding mode control technique based power system stabilizer (PSS) for single machine infinite bus (SMIB) system. IEEE International Conference on Industrial Technology, Hong Kong: IEEE, 2005: 341–346

    Google Scholar 

  5. K. Davooodi, S. Patilkulkarni. Hybrid Modeling and Control of Power Systems with PSS Operating over Wide Range of Operating Conditions. IEEE International Conference on Power Systems, New Delhi: IEEE, 2016: DOI 10.1109/ICPES.2016.7584243.

    Google Scholar 

  6. H. F. Wang. A unified model for the analysis of FACTS devices in damping power system oscillations–Part III: Unified power flow controller. IEEE Transactions on Power Delivery, 2000, 15(3): 978–983.

    Article  MathSciNet  Google Scholar 

  7. H. Shayeghi, H. A. Shayanfar, S. Jalilzadeh, et al. Design of output feedback UPFC controller for damping of electromechanical oscillations using PSO. Energy Conversion and Management, 2009, 50(10): 2554–2561.

    Article  Google Scholar 

  8. N. Tambey, M. L. Kotharir. Unified power flow controller (UPFC) based damping controllers for damping low frequency oscillations in a power system. Maturitas, 2003, 72(1): 35–41.

    Google Scholar 

  9. A. K. Baliarsingh, S. Panda, A. K. Mohanty, et al. UPFC supplementary controller design using real-coded genetic algorithm for damping low frequency oscillations in power systems. International Journal of Electrical and Computer Engineering, 2013, 7(4): 759–761.

    Google Scholar 

  10. K. M. Son, J. K. Park. On the robust LQG control of TCSC for damping power system oscillations. IEEE Transactions on Power Systems, 2000, 15(4): 1306–1312

    Article  Google Scholar 

  11. A. Elahi, A. Gholizadeh, A. Aghae. Linear quadratic Gaussian control for UPFC auxiliary stabilizer. Science International, 2014, 26(5): 2353–2356.

    Google Scholar 

  12. P. Pourbeik, M. J. Gibbard. Simultaneous coordination of powersystem stabilizers and FACTS device stabilizers in a multimachine power system for enhancing dynamic performance. IEEE Transaction on Power Systems, 1998, 13(2): 473–479.

    Article  Google Scholar 

  13. L. J. Cai, I. Erlich. Simultaneous coordinated tuning of PSS and FACTS damping controllers in large power systems. IEEE Transaction on Power Systems, 2005, 20(1): 294–300.

    Article  Google Scholar 

  14. L. Yathisha, S. S. P. Kulkarni. Optimal switched feedback controller design for the simultaneous coordinated design of UPFC and PSS in power system. Journal of Electrical Engineering, 2016, 16(4): 414–421

    Google Scholar 

  15. A. M. Yousef, M. K. Ei-Sherbiny. Improvement Of synchronizing and damping torque coefficients based LQR power system stabilizer. International Conference on Electrical, Electronic and Computer Engineering, Cairo, Egypt: IEEE, 2004: 753–758

    Google Scholar 

  16. A. Alfi, M. Khosravi. Optimal power system stabilizer design to reduce low frequency oscillations via an improved system optimization algorithm. International Journal on Technical and Physical Problems of Engineering, 2012, 4(2): 24–33.

    Google Scholar 

  17. Al. Olimat, K. S. Farhoud, J. K. Hurtig. Power system stabilizers with fuzzy logic switching. Power Systems Conference and Exposition, Atlanta: IEEE, 2006: 2152–2157

    Google Scholar 

  18. B. D. O. Anderson, J. B. Moore. Optimal Control: Linear Quadratic Methods. New York: Dover Publications, 2007.

    Google Scholar 

  19. L. Yathisha, S. P. Kulkarni. Optimum LQR switching approach for the improvement of STATCOM performance. Proceedings of the Third International Conference on Trends in Information, Telecommunication and Computing, New York: Springer, 2013: 259–266

    Chapter  Google Scholar 

  20. S. Skogestad, I. Postlethwaite. Multivariable Feedback Control Analysis and Design. 2nd ed. New York: John Wiley & Sons, 2001.

    MATH  Google Scholar 

  21. H. Ye, Y. Liu. Design of model predictive controllers for adaptive damping of inter-area oscillations. Electrical Power and Energy Systems, 2013, 45(1): 509–518.

    Article  MathSciNet  Google Scholar 

  22. X. Yang, O.n Marjanovic. LQG control with extended Kalman filter for power systems with unknown time-delays. IFAC Proceedings Volumes, 2011, 44(1): 3708–3713.

    Article  Google Scholar 

  23. S. P. Azad, R. Iravani, T. J. E. Damping inter-area oscillations based on a model predictive control (MPC) HVDC supplementary controller. IEEE Transactions on Power Systems, 2013, 28(3): 3174–3183

    Article  Google Scholar 

  24. P. Tripathy, S. C. Srivastava, S. N. Singh. A divide-by-differencefilter based algorithm for estimation of generator rotor angle utilizing synchrophasor measurements. IEEE Transactions on Instrumentation and Measurement, 2010, 59(6): 1562–1570

    Article  Google Scholar 

  25. A. M. Yousef, M. Zahran. Improved power system stabilizer by applying LQG controller. Advances in Electrical and Computer Engineering, 2008, 8(1): 117–127.

    MathSciNet  Google Scholar 

  26. K. R. Santarelli, M. A. Dahleh. Comparison between a switching controller and two LTI controllers for a class of LTI plants. International Journal on Robust Nonlinear Control, 2008, 19(2): 1–33

    MathSciNet  MATH  Google Scholar 

  27. K. R. Santarelli, M. A. Dahleh. L 2 gain stability of switched output feedback controllers for a class of LTI systems. IEEE Transactions on Automatic Control, 2009, 54(7): 1504–1514

    Article  MathSciNet  MATH  Google Scholar 

  28. K. R. Santarelli, M. A. Dahleh. Optimal controller synthesis for a class of LTI systems via switched feedback. Systems & Control Letters, 2010, 59(3): 258–264

    Article  MathSciNet  MATH  Google Scholar 

  29. Z. D. SUN. Recent advances on analysis and design of switched linear systems. Control Theory and Technology, 2017, 15(3): 242–244.

    Article  Google Scholar 

  30. Z. H. Huang, C. Xiang, H. Lin, et al. A necessary and sufficient condition for stability of arbitrarily switched second-order LTI System: Marginally stable case. Proceedings of the 22nd IEEE International Symposium on Intelligent Control, Part of IEEE Multiconference on Systems and Control, Singapore: IEEE, 2007: 83–88

    Google Scholar 

  31. L. S. Devarakonda. Performance Based Switching Control for Single Input LTI Systems. M.Sc. thesis. Baton Rouge: Louisiana State University and Agricultural and Mechanical College, 2005.

    Google Scholar 

  32. J. L. Aravena, L. Devarakonda. Performance driven switching control. IEEE International Symposium on Industrial Electronics, 2006: DOI 10.1109/ISIE.2006.295564.

    Google Scholar 

  33. L. Yathisha, K. Davoodi, S. P. Kulkarni. Optimal switching control strategy for UPFC for wide range of operating conditions in power system. Proceedings of 3rd Indian Control Conference, Guwahati: IEEE, 2007: 225–232

    Google Scholar 

  34. L. Yathisha, S. P. Kulkarni. Application and comparison of switching control algorithms for power system stabilizer. IEEE International Conference on Industrial Instrumentation and Control, Pune: IEEE, 2015: 1300–1305

    Google Scholar 

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Acknowledgements

The authors appreciate Dr. P. K. Mahesh, Head of Electronics and Communication Department, Dr. L. Basavaraj, Principal, both from ATME College of Engineering, Mysore, and Dr. M. N. Shanmukhaswamy, Head of Electronics and Communication Department, Dr. Syed Shakeeb ur Rehman, Principal, both from Sri Jayachamarajendra College of Engineering, Mysore, for their moral support and encouragement during this research work.

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Correspondence to L. Yathisha.

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This work was supported by Sri Jayachamarajendra College of Engineering (JSSSTU), Mysuru, Karnataka, India.

L. YATHISHA received his M.Tech. degree in Industrial Electronics and Ph.D. degee in Control Systems from SJCE, Visvesvaraya Technological University (VTU), in 2017 and 2010, respectively. Since 2012 He has been working as Assistant Professor in the Department of Electronics and Communication Engineering, ATME College of Engineering (affiliated to VTU), Mysore, India. His areas of interests are power systems, control systems and hybrid control systems. E-mail: yathisha.171@gmail.com.

S. PATILKULKARNI received his Ph.D. degree from Old Dominion university, Norfolk, Virginia, U.S.A., in 2004. He is currently working as Professor in the Department of Electronics and Communication at Sri Jayachamarajendra College of Engineering (SJCE), JSS Science and Technology University, Mysore, India. His research interests include control systems, hybrid and stochastic systems, VLSI, signal and image processing. E-mail: sudarshan_ pk@sjce.ac.in.

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Yathisha, L., Patilkulkarni, S. LQR and LQG based optimal switching techniques for PSS and UPFC in power systems. Control Theory Technol. 16, 25–37 (2018). https://doi.org/10.1007/s11768-018-6174-x

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  • DOI: https://doi.org/10.1007/s11768-018-6174-x

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