An alternative LQR-based excitation controller design for power systems to enhance small-signal stability

This paper presents a new approach to design excitation controller for power systems to enhance small-signal stability. Partial feedback linearization scheme is used to design the controller for a linearized power system model which transforms a part of this model into a new system through linear coordinate transformation. In this paper, the excitation control law as a function of state variables is determined from the dynamics of the partly transformed new system provided that the controller stabilizes the remaining dynamics of the system which are not transformed through feedback linearization. The stability of the remaining dynamics is also discussed in this paper. Since the proposed control scheme uses state variables as feedback, it is analogous to a linear quadratic regulator (LQR) based excitation controller. Therefore, the performance of the proposed scheme is evaluated on a single machine infinite bus (SMIB) system and compared to that of an LQR controller.

[1]  Hemanshu R. Pota,et al.  Nonlinear DSTATCOM controller design for distribution network with distributed generation to enhance voltage stability , 2013 .

[2]  Jorge A. Solsona,et al.  Comparison among nonlinear excitation control strategies used for damping power system oscillations , 2012 .

[3]  Hemanshu R. Pota,et al.  A New Method to Design Robust Power Oscillation Dampers for Distributed Synchronous Generation Systems , 2013 .

[4]  Aly Mousaad Aly,et al.  On the evaluation of the efficacy of a smart damper: a new equivalent energy-based probabilistic approach , 2008 .

[5]  P. Kundur,et al.  Power system stability and control , 1994 .

[6]  Ian A. Hiskens,et al.  Robust, adaptive or nonlinear control for modern power systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[7]  M. J. Hossain,et al.  Investigation of critical parameters for power systems stability with dynamic loads , 2010, IEEE PES General Meeting.

[8]  Lei Wang,et al.  Recent applications of linear analysis techniques , 2001 .

[9]  M. J. Hossain,et al.  Partial Feedback Linearizing Excitation Controller for Multimachine Power Systems to Improve Transient Stability , 2014, IEEE Transactions on Power Systems.

[10]  Hemanshu R. Pota,et al.  Effects of large dynamic loads on power system stability , 2013 .

[11]  Marija D. Ilic,et al.  Feedback linearizing excitation control on a full-scale power system model , 1994 .

[12]  Seema Singh,et al.  A decentralized nonlinear feedback controller with prescribed degree of stability for damping power system oscillations , 2007 .

[13]  Janos Turi,et al.  Applications of exact linearization techniques for steady-state stability enhancement in a weak AC/DC system , 1992 .

[14]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[15]  M. J. Hossain,et al.  Nonlinear excitation controller for power systems using Zero dynamic design approach , 2011, 2011 North American Power Symposium.

[16]  Md. Apel Mahmud,et al.  Selection of output function in nonlinear feedback linearizing excitation control for power systems , 2011, 2011 Australian Control Conference.

[17]  Charles Concordia,et al.  Concepts of Synchronous Machine Stability as Affected by Excitation Control , 1969 .

[18]  Erik A. Johnson,et al.  Dissipativity analysis of the base isolated benchmark structure with magnetorheological fluid dampers , 2011 .

[19]  A. T. Alouani,et al.  Nonlinear stabilizing controller for a single machine infinite-bus power system , 1995, Proceedings of International Conference on Control Applications.

[20]  Hemanshu R. Pota,et al.  Transient stability enhancement of multimachine power systems using nonlinear observer-based excitation controller , 2014 .

[21]  A. Isidori.  Nonlinear Control Systems , 1985 .

[22]  Hemanshu R. Pota,et al.  Full-order nonlinear observer-based excitation controller design for interconnected power systems via exact linearization approach , 2012 .

[23]  Wladyslaw Mielczarski,et al.  Nonlinear field voltage control of a synchronous generator using feedback linearization , 1994, Autom..

[24]  Kevin A. Snook,et al.  縦方向電界場中で曲げたPIN-PMN-PT単結晶の強度 , 2011 .

[25]  Frank L. Lewis,et al.  Adaptive optimal control for continuous-time linear systems based on policy iteration , 2009, Autom..

[26]  H. Kaufman,et al.  Stabilizing a multimachine power system via decentralized feedback linearizing excitation control , 1993 .

[27]  M. Aldeen,et al.  Multimachine power system stabiliser design based on new LQR approach , 1995 .

[28]  Zhihua Qu,et al.  Multi machine power system excitation control design via theories of feedback linearization control and nonlinear robust control , 2000, Int. J. Syst. Sci..

[29]  M. J. Hossain,et al.  Effect of large dynamic loads on interconnected power systems with power oscillation damping controller (PODC) , 2010, 2010 20th Australasian Universities Power Engineering Conference.