Parameter dependent control Lyapunov function for series and shunt FACTS devices considering uncertain power system model

In this paper, a parameter dependent control Lyapunov function (PDCLF) is used to design a robust nonlinear feedback control law for series and shunt FACTS devices. The feedback control law is robust with respect to noise in the feedback signal and parametric uncertainties in the magnitude of transmission line power flow. The nonlinear FACTS controller is designed to damp interarea oscillations of a two-area system increasing the power system stability margin

[1]  K. Uma Rao,et al.  Discrete control of series compensation for stability improvement in power systems , 1997 .

[2]  Joe H. Chow,et al.  A robust decentralized control design for damping controllers in FACTS applications , 1995, Proceedings of International Conference on Control Applications.

[3]  Rujing Zhou,et al.  A new decentralized nonlinear voltage controller for multimachine power systems , 1998 .

[4]  D. Hill,et al.  Nonlinear output stabilization control for multimachine power systems , 2000 .

[5]  V. Jurdjevic,et al.  Controllability and stability , 1978 .

[6]  Joe H. Chow,et al.  Concepts for design of FACTS controllers to damp power swings , 1995 .

[7]  Daniel K. Reitan,et al.  Improvement of Power System Transient Stability Using Optimal Control: Bang-Bang Control of Reactance , 1970 .

[8]  D. N. Kosterev,et al.  Bang-bang series capacitor transient stability control , 1995 .

[9]  P. Aylett.  The energy-integral criterion of transient stability limits of power systems , 1958 .

[10]  F. Pourboghrat,et al.  Local sliding control for damping interarea power oscillations , 2004, IEEE Transactions on Power Systems.

[11]  Eduardo Sontag.  A Lyapunov-Like Characterization of Asymptotic Controllability , 1983, SIAM Journal on Control and Optimization.

[12]  R. R. Mohler,et al.  Variable-structure facts controllers for power system transient stability , 1992 .

[13]  Damien Ernst,et al.  A control strategy for controllable series capacitor in electric power systems , 2001, Autom..

[14]  Donald A. Pierre.  Nonlinear VAr control for damping multivariable swing equations , 1988 .

[15]  U. Gabrijel,et al.  Direct Methods for Transient Stability Assessment in Power Systems Comprising Controilable Series Devices , 2002, IEEE Power Engineering Review.

[16]  M. Ghandhari,et al.  A Robust Control Strategy for Shunt and Series Reactive Compensators to Dame Electromechanical Oscillations , 2001, IEEE Power Engineering Review.

[17]  Mehrdad Ghandhari,et al.  Improving power system dynamics by series-connected FACTS devices , 1997 .

[18]  Z. Artstein.  Stabilization with relaxed controls , 1983 .

[19]  Yi Guo,et al.  Nonlinear decentralized control of large-scale power systems , 2000, Autom..

[20]  M. Ghandhari,et al.  Control Lyapunov Functions for Controllable Series Devices , 2001, IEEE Power Engineering Review.