Voltage tracking design for electric power systems via SMC approach

This paper presents a output tracking design for regulating the load voltage of the electric power system. Based on a model of electric power system proposed by Dobson and Chiang (1988), the saddle-node bifurcation and Hopf bifurcations were observed (Wang, et al, 1994) by treating the reactive power as system parameter. Those bifurcations were found to lead to the appearance of the dynamic or the static voltage collapses of the power systems. In construct to the state feedback design at the bifurcation point via the tuning of the Static Var Compensator as proposed in (Saad, et al, 2005), a sliding mode control (SMC) scheme using SVC was employed in this study to construct a load voltage tracking design control law for regulating the load voltage and hence providing the stability of electric power systems. The numerical simulations demonstrated that the proposed control scheme not only could provide the regulation of the load voltage but also prevent and/or delay the appearance of bifurcation phenomena and chaotic behavior.

[1]  Yew-Wen Liang,et al.  Reliable Control of Nonlinear Systems via Variable Structure Scheme , 2006, IEEE Transactions on Automatic Control.

[2]  Der-Cherng Liaw,et al.  Three-Dimensional Guidance Law for Landing on a Celestial Object , 2000 .

[3]  Eyad H. Abed,et al.  Control of Nonlinear Phenomena at the Inception of Voltage Collapse , 1993, 1993 American Control Conference.

[4]  D. Hill,et al.  Studies of voltage stability via a nonlinear SVC control , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[5]  H. Ohtsuki,et al.  Reverse action of on-load tap changer in association with voltage collapse , 1991, IEEE Power Engineering Review.

[6]  Faa-Jeng Lin,et al.  Intelligent Sliding-Mode Control Using RBFN for Magnetic Levitation System , 2007, IEEE Transactions on Industrial Electronics.

[7]  Leon Y. Bahar,et al.  Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapse , 1986 .

[8]  Der-Cherng Liaw,et al.  Nonlinear Control for Missile Terminal Guidance , 2000 .

[9]  C.-C. Liu,et al.  Analysis of tap-changer dynamics and construction of voltage stability regions , 1988, 1988., IEEE International Symposium on Circuits and Systems.

[10]  R.J. Thomas,et al.  On voltage collapse in electric power systems , 1989, Conference Papers Power Industry Computer Application Conference.

[11]  Ian Dobson,et al.  Towards a theory of voltage collapse in electric power systems , 1989 .

[12]  R. Schlueter,et al.  Bifurcation subsystem and its application in power system analysis , 2004, IEEE Transactions on Power Systems.

[13]  S. C. Srivastava,et al.  Elimination of dynamic bifurcation and chaos in power systems using FACTS devices , 1998 .

[14]  E.H. Abed,et al.  Delaying instability and voltage collapse in power systems using SVCs with washout filter-aided feedback , 2005, Proceedings of the 2005, American Control Conference, 2005..

[15]  I. Dobson,et al.  A model of voltage collapse in electric power systems , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[16]  Vadim I. Utkin,et al.  On multi-input chattering-free second-order sliding mode control , 2000, IEEE Trans. Autom. Control..

[17]  Der-Cherng Liaw,et al.  Robust Stabilization of Axial Flow Compressor Dynamics Via Sliding Mode Design , 2001 .

[18]  Eyad H. Abed,et al.  Bifurcations, chaos, and crises in voltage collapse of a model power system , 1994 .

[19]  D. Torres-Lucio,et al.  Assessment of the SVC's effect on nonlinear instabilities and voltage collapse in electric power systems , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[20]  Der-Cherng Liaw,et al.  Bifurcation analysis of power systems with tap changer , 2005, Proceedings. 2005 IEEE Networking, Sensing and Control, 2005..

[21]  Chih-Min Lin,et al.  Fuzzy–Neural Sliding-Mode Control for DC–DC Converters Using Asymmetric Gaussian Membership Functions , 2007, IEEE Transactions on Industrial Electronics.