On-line self-learning PID controller design of SSSC using self-recurrent wavelet neural networks

Conventionally, FACTS devices employ a proportional-integral (PI) controller as a supplementary controller. However, the conventional PI controller has many disadvantages. The present paper aims to propose an on-line self-learning PI-derivative (PID) controller design of a static synchronous series compensator for power system stability enhancement and to overcome the PI controller problems. Unlike the PI controllers, the proposed PID controller has a local nature because of its powerful adaption process, which is based on the back-propagation (BP) algorithm that is carried out through an adaptive self-recurrent wavelet neural network identifier (ASRWNNI). In fact, the PID controller parameters are updated in on-line mode using the BP algorithm based on the information provided by the ASRWNNI, which is a powerful and fast-acting identifier thanks to its local nature, self-recurrent structure, and stable training algorithm with adaptive learning rates based on the discrete Lyapunov stability theorem. The proposed control scheme is applied to a 2-machine, 2-area power system under different operating conditions and disturbances to demonstrate its effectiveness and robustness. Later on, the design problem is extended to a 4-machine, 2-area benchmark system and the results show that the interarea modes of the oscillations are well damped with the proposed approach.

On-line self-learning PID controller design of SSSC using self-recurrent wavelet neural networks

Conventionally, FACTS devices employ a proportional-integral (PI) controller as a supplementary controller. However, the conventional PI controller has many disadvantages. The present paper aims to propose an on-line self-learning PI-derivative (PID) controller design of a static synchronous series compensator for power system stability enhancement and to overcome the PI controller problems. Unlike the PI controllers, the proposed PID controller has a local nature because of its powerful adaption process, which is based on the back-propagation (BP) algorithm that is carried out through an adaptive self-recurrent wavelet neural network identifier (ASRWNNI). In fact, the PID controller parameters are updated in on-line mode using the BP algorithm based on the information provided by the ASRWNNI, which is a powerful and fast-acting identifier thanks to its local nature, self-recurrent structure, and stable training algorithm with adaptive learning rates based on the discrete Lyapunov stability theorem. The proposed control scheme is applied to a 2-machine, 2-area power system under different operating conditions and disturbances to demonstrate its effectiveness and robustness. Later on, the design problem is extended to a 4-machine, 2-area benchmark system and the results show that the interarea modes of the oscillations are well damped with the proposed approach.

___

  • P.W. Sauer, M.A. Pai, Power System Dynamic and Stability, Hoboken, NJ, Prentice Hall, 1998.
  • M.R. Banaei, A. Kami, “Interline power flow controller (IPFC) based damping recurrent neural network controllers for enhancing stability”, Energy Conversion and Management, Vol. 52, pp. 2629–2636, 2011.
  • A.T. Al-Awami, Y.L. Abdel-Magid, M.A. Abido, “A particle-swarm-based approach of power system stability enhancement with unified power flow controller”, International Journal of Electrical Power & Energy Systems, Vol. 29, pp. 251–259, 2007.
  • H. Shayeghi, H.A. Shayanfar, S. Jalilzadeh, A. Safari, “A PSO based unified power flow controller for damping of power system oscillations”, Energy Conversion and Management, Vol. 50, pp. 2583–2592, 2009.
  • H. Shayeghi, H.A. Shayanfar, S. Jalilzadeh, A. Safari, “Design of output feedback UPFC controller for damping of electromechanical oscillations using PSO”, Energy Conversion and Management, Vol. 50, pp. 2554–2561, 2009.
  • H. Shayeghi, H.A. Shayanfar, S. Jalilzadeh, A. Safari, “Tuning of damping controller for UPFC using quantum particle swarm optimizer”, Energy Conversion and Management, Vol. 51, pp. 2299–2306, 2010.
  • M. Vilathgamuwa, X. Zhu, S.S. Choi, “A robust control method to improve the performance of a unified power flow controller”, Electric Power Systems Research, Vol. 55, pp. 103–111, 2000.
  • M.R. Banaei, A.R. Kami, “Improvement of dynamical stability using interline power flow controller”, Advances in Electrical and Computer Engineering, Vol. 10, pp. 42–49, 2010.
  • S. Panda, “Robust coordinated design of multiple and multi-type damping controller using differential evolution algorithm”, International Journal of Electrical Power & Energy Systems, Vol. 33, pp. 1018–1030, 2011.
  • S. Panda, “Multi-objective evolutionary algorithm for SSSC-based controller design”, Electric Power Systems Research, Vol. 79, pp. 937–944, 2009.
  • A. Kazemi, M.V. Sohrforouzani, “Power system damping using fuzzy controlled facts devices”, Electrical Power and Energy Systems, Vol. 28, pp. 349–357, 2006.
  • N.G. Hingorani, L. Gyugyi, Understanding FACTS Concepts and Technology of Flexible AC Transmission System, New York, IEEE Press, 2000.
  • K.J. Astrom, T. Hagglund, C.C. Hang, W.K. Ho, “Automatic tuning and adaptation for PID controllers – a survey”, Control Engineering Practice, Vol. 1, pp. 699–714, 1993.
  • P. Cominos, N. Munro, “PID controllers: recent tuning methods and design to specification”, IEE Proceedings Control Theory and Applications, Vol. 149, pp. 46–53, 2002.
  • J.G. Ziegler, N.B. Nichols, “Optimum setting for automatic controllers”, Transactions of the ASME, Vol. 64, pp. 759–765, 1942.
  • W.K. Ho, C.C. Hang, L.S. Cao, “Tuning of PID controllers based on gain and phase margin specifications”, Automatica, Vol. 31, pp. 497–502, 1995.
  • A.J. Isakson, S.F. Graebe, “Analytical PID parameter expressions for higher order systems”, Automatica, Vol. 35, pp. 1121–1130, 1999.
  • S. Skogestad, “Simple analytic rules for model reduction and PID controller tuning”, Journal of Process Control, Vol. 13, pp. 291–309, 2003.
  • B. Kristiansson, B. Lennartson, “Robust and optimal tuning of PI and PID controllers”, IEE Proceedings - Control Theory and Applications, Vol. 149, pp. 17–25, 2002.
  • E. Grassi, K. Tsakalis, S. Dash, S.V. Gaikwad, W. Macarthur, G. Stein, “Integrated system identification and PID controller tuning by frequency loop-shaping”, IEEE Transactions on Control Systems Technology, Vol. 9, pp. 285–294, 2001.
  • C. Lin, Q.G. Wang, T.H. Lee, “An improvement on multivariable PID controller design via iterative LMI approach”, Automatica , Vol. 40, pp. 519–525, 2004.
  • F. Zheng, Q.G. Wang, T.H. Lee, “On the design of multivariable PID controllers via LMI approach”, Automatica, Vol. 38, pp. 517–526, 2002.
  • M.T. Ho, “Synthesis of H1 PID controllers: a parametric approach”, Automatica, Vol. 39, pp. 1069–1075, 2003.
  • S.J. Ho, L.S. Shu, S.Y. Ho, “Optimizing fuzzy neural networks for tuning PID controllers using an orthogonal simulated annealing algorithm OSA”, IEEE Transactions on Fuzzy Systems, Vol. 14, pp. 421–434, 2006.
  • C. Vlachos, D. Williams, J.B. Gomm, “Solution to the Shell standard control problem using genetically tuned PID controllers”, Control Engineering Practice, Vol. 10, pp. 151–163, 2002.
  • C.C. Kao, C.W. Chuang, R.F. Fung, “The self-tuning PID control in a slider-crank mechanism system by applying particle swarm optimization approach”, Mechatronics, Vol. 16, pp. 513–522, 2006.
  • L.D.S. Coelho, “Tuning of PID controller for an automatic regulator voltage system using chaotic optimization approach”, Chaos, Solitons & Fractals, Vol. 39, pp. 1504–1514, 2009.
  • P. Shamsollahi, O.P Malik, “An adaptive power system stabilizer using on-line trained neural networks”, IEEE Transactions on Energy Conversion, Vol. 12, pp. 382–387, 1997.
  • P. Shamsollahi, O.P Malik, “Direct neural adaptive control applied to synchronous generator”, IEEE Transactions on Energy Conversion, Vol. 14, pp. 1341–1346, 1999.
  • J. He, O.P. Malik, “An adaptive power system stabilizer based on recurrent neural networks”, IEEE Transactions on Neural Networks, Vol. 12, pp. 413–418, 1997. 1000
  • T. Kobayashi, A. Yokoyama, “An adaptive neuro-control system of synchronous generator for power system stabilization”, IEEE Transactions on Energy Conversion, Vol. 11, pp. 621–630, 1996.
  • W. Liu, G.K. Venayagamoorthy, D.C. Wunsch 2nd, “Adaptive neural network based power system stabilizer design”, INNS-IEEE International Joint Conference on Neural Networks, pp. 2970–2975, 2003.
  • S.J. Yoo, J.B. Park, Y.H. Choi, “Stable predictive control of chaotic systems using self-recurrent wavelet neural network”, International Journal of Control, Automation, and Systems, Vol. 3, pp. 43–55, 2005.
  • R.J. Wai, J.M. Chang, “Intelligent control of induction servo motor drive via wavelet neural network”, Electric Power Systems Research, Vol. 61, pp. 67–76, 2002.
  • Y. Oussar, I. Rivals, L. Personnaz, G. Dreyfus, “Training wavelet networks for nonlinear dynamic input-output modeling”, Neurocomputing, Vol. 20, pp. 173–188, 1998.
  • J. Zhang, G. Walter, Y. Miao, W.N.W. Lee, “Wavelet neural networks for function learning”, IEEE Transactions on Signal Processing, Vol. 43, pp. 1485–1497, 1995.
  • Q. Zhang, A. Benveniste, “Wavelet networks”, IEEE Transactions on Neural Networks, Vol. 3, pp. 889–898, 1992. Y. Oussar, G. Dreyfus, “Initialization by selection for wavelet network training”, Neurocomputing, Vol. 34, pp. 131–143, 2000.
  • Lekutai G, “Adaptive self-tuning neuro wavelet network controllers”, PhD, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA, 1997.
  • S.J. Yoo, J.B. Park, Y.H. Choi, “Indirect adaptive control of nonlinear dynamic systems using self-recurrent wavelet neural networks via adaptive learning rates”, Information Sciences, Vol. 177, pp. 3074–3098, 2007.
  • K.S. Narendra, K. Parthasarathy, “Identification and control of dynamic system using neural network”, IEEE Transactions on Neural Networks, Vol. 1, pp. 4–27, 1990.
  • K.S. Narendra, K. Parthasarathy, “Gradient methods for the optimization of dynamical systems containing neural networks”, IEEE Transactions on Neural Networks, Vol. 2, pp. 252–262, 1991.
  • P. Kundur, Power System Stability and Control, New York, McGraw-Hill, 1993. 1001
Turkish Journal of Electrical Engineering and Computer Science-Cover
  • ISSN: 1300-0632
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK