Open Access Open Access  Restricted Access Subscription or Fee Access

Stabilizing Controller Design for Transient Stability Improvement of Power Systems

(*) Corresponding author

Authors' affiliations



This paper presents a nonlinear excitation controller for power system. The non-linearity and interconnections in power system are eliminated by using direct feedback linearization technique. With this compensator design, only the bounds of the generator and the network parameters are to be known. The resulting feedback linearizing excitation controller guarantees the overall transient stability of the power system. Simulation results on the model depicts that the proposed controller can greatly enhance the power system transient stability regardless of the network parameter variations. In power system, fault is the main reason which transforms the system from stable to unstable. Few of the main parameters to be monitored during fault condition are power angle and terminal voltage whichcan depict the system behavior. The major objective is to prevent power system from losing synchronism after sudden fault and to restore the terminal voltage to pre-fault value. Power system is characterized with nonlinear behavior. The nonlinearity existing in power system is mainly due to the system elements. Direct feedback linearization is the technique which isused for linearizing the nonlinear power system. Here three phase short circuit fault is considered which occurs on one of the transmission line. Different controllers designed for stabilizing the linearized system has been discussed in this paper and comparative results have been shown in this paper through simulation results.
Copyright © 2014 Praise Worthy Prize - All rights reserved.


Electric Power System (EPS); Sliding Mode (SM); Direct Feedback Linearization (DFL)

Full Text:



B. C. Kuo, Automatic Control Systems, 5th ed. Englewood Cliffs: Prentice-Hall, 1987.

Y. Takashi, M. J. Rabins, and D. M. Auslander, Control and Dynamic Systems. Menlo Park, CA: Addison-Wesley, 1970.

J. G. Ziegler and N. B. Nichols, Optimum settings for automatic controllers, Trans. ASME, vol. 64, pp. 759-768, 1942.

C. C. Hang, K. J. Aström, and W. K. Ho, Refinements of the Ziegler–Nichols tuning formula, Proc. Inst. Elect. Eng., pt. D, vol.138, pp. 111–118, 1991.

C.W. deSilva, Intelligent Control and Fuzzy Logic Applications. Boca Raton, FL: CRC Press, 1995.

D. Driankov, Hellendoom, and M. Reinfrank, An Introduction to Fuzzy Control, 2nd ed. New York: Springer-Verlag, 1996.

M. Sugeno, An introductory survey of fuzzy control, Inform. Sci., vol.36, pp. 59–83, 1985.

Ghandakly A, Idowu P. Design of a model reference adaptive stabilizer for the exciter and governor loops of power generators. IEEE Trans Power Syst;5: 887–93. 1990.

Ghandakly A, Dai J. An adaptive synchronous generator stabilizer design by generalized multivariable pole shifting (GMPS) technique. IEEE Trans PowerSyst;7: 1239–44.1992.

Wu B, Malik OP. Multivariable adaptive control of synchronous machines in a multi-machine power system. IEEE Trans Power Syst; 21(2).2006.

Jain S, Khorrami F, Fardanesh K. Adaptive nonlinear excitation control of power systems with unknown interconnections. IEEE Trans Control SystTechnol1994;2(4).

Lahdhiri T, Alouani AT. On the robust control of synchronous generator. In:Proc American control conference. Philadelphia, Pennsylvania, June 1998. p. 3798–801.

Isidori A. Nonlinear control systems. 3rd ed. New York: Springer-Verlag; 1995.

Mielczarski W, Zajaczowski AM. Multivariable nonlinear controller for synchronous generator. Opt Control Applicat Methods;15:49–65. 1994

Landhiri T, Alouani AT. Design of a nonlinear excitation controller for synchronous generator using the concept of feedback linealization. In: Proc American control conference, New Mexico (USA); 1997.

King CA, Chapman JW, Ilic MD. Feedback linearizing excitation control on a full scale power system model. IEEE Trans Power Syst ;9: 1102–9.1994

Van der Schaft AJ. L2 gain and passivity techniques in non linear control. London, England: Springer Verlag; 1999.

Ortega R, Lor´ıa A, Nicklasson P, Sira-Ram´ırez H. Passivity-based control of Euler–Lagrange systems. London, England: Springer Verlag; 1998.

Wang W, Cheng J. Passivity-based sliding mode position control for induction motor drives. IEEE Trans Energy Convers 2005; 20(2).

Xi Z, Cheng D. Passivity-based stabilization and H1control of the Hamiltonian control systems with dissipation and its applications to power systems. Int J Control; 73(18):1686–91, 2000

Ortega R, Stankovic A, Stefanov P. A passivation approach to power systems stabilization. In: Proc of IEEE symp on nonlinear control systems, June1998.

Huerta H, Loukianov AG, Canedo JM. Passivity-based sliding mode control of power system. In: Proc of VSS08, Antalya, Turquia, June 2008.

Khalil HK. Nonlinear systems. New Jersey: Prentice Hall, Inc. Simon and Schuster; 1996.

Pai MA. Energy function analysis for power systems stability. Kluwer Academic Publishers; 1989.

Bazanella AS, Silva AS, Kokotovic P. Lyapunov design of excitation control for synchronous machine. In: Proc 36th IEEE CDC, San Diego (CA, USA); p.211–6., 1997

Machowsky J, Robak S, Bialek JW, Bumby JR, Abi-Samra N. Decentralized stability-enhancing control of synchronous generator. IEEE Trans Power Syst; 15(4).2000

Hsu Y, Cheng Ch. Tuning of power system stabilizers using an artificial neural network. IEEE Trans Energy Convers ;6:612–9. 1991

Shamsollahi P, Malik OP. An adaptive power system stabilizer using on-line trained neural network. IEEE Trans Energy Convers ; 12(4):382–7. 1997

Venayagamoorthy GK, Harley RG, Wunsch DC. Dual heuristic programming excitation neurocontrol for generators in a multimachine power system. IEEE Trans Ind Applicat; 39(2).2003

Mohagheghi S, Valle Y, Venayagamoorthy GK, Harley RG. A proportional–integrator type adaptive critic design-based neuro-controller for a static compensator in a multi-machine power system. IEEE Trans Ind Electron;54(1).2007

Dash P, Mishra S, Liew A. Design of a fuzzy PI controller for power system applications. J Intell Fuzzy Syst ;3:155–63. 1995

Hoang P, Tomsovic K. Design and analysis of an adaptive fuzzy power system stabilizer. In: IEEE PES winter meeting;. p. 7.1996

Utkin VI. Sliding mode in control and optimization. London: Springer Verlag;1992.

Utkin VI, Guldner J, Shi J. Sliding mode control in electromechanical systems. London: Taylor & Francis; 1999.

Loukianov AG, Canedo JM, Utkin VI, Cabrera-Vazquez J. Discontinuous controller for power systems: sliding mode block control approach. IEEE Trans Ind Electron;51(2):340–53. 2004

Cabrera-Vazquez J, Loukianov AG, Canedo JM, Utkin VI. Robust controller for synchronous generator with local load via VSC.Int J Electr Power Energy Syst;29:348–459.2007

Bandal V, Bandyopadhyay B, Kulkarni AM. Decentralized sliding mode control technique based power system stabilizer (PSS) for multi-machine power system. In: Proc conference on control applications, Toronto, Canada, August2005.

R. Sepulchre, M. Jankovic, and P. Kokotovic. Constructive Nonlinear Control. Springer-Verlag, London, 1997.

Y. Wang and D. J. Hill. Robust nonlinear coordinated control of power systems. Automatica, 32:611-618, 1996.

Y. Wang, D. J. Hill, R. H. Middleton, and L. Gao. Transient stability enhancement and voltage regulation of power systems. IEEE Trans. Power Systems, 8:620-627, 1993.

Y. Wang, L. Xie, D. J. Hill, and R. H. Middleton, Robust nonlinear controller design for transient stability enhancement of power system. In Proc. Ofthe 31st IEEE Conf. of Decision and Control, pages1117-1122, Tuscon, Arizona, 1992.

L. Xie, M. Fu, and C. E. de Souza.H1 control and quadratic stabilization of systems with parameter uncertainty via output feedback. IEEE Trans. Automat. Contr., 37:1253-1256, 1992.

C. Zhu, R. Zhou, and Y. Wang. A new nonlinear voltage controller for power systems. Int. J. Electrical Power & Energy Systems, 19:19-27, 1997.

L. Gao, L. Chen, Y. Fan, and H. Ma. A nonlinear control design for power systems.Automatica,28:975-979, 1992.

Y. Guo, D. J. Hill, and Y. Wang. Global transient stability and voltage regulation for power systems. IEEE Transactions on Power Systems, 16(4):678-688, 2001.

Abdellah, A., Abdelhafid, A., Mostafa, R., Combining sliding mode and linear quadratic regulator to control the inverted pendulum, (2013) International Review of Automatic Control (IREACO), 6 (1), pp. 69-76.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize