Expansion of system operating range by an interpolated LPV FACTS controller using multiple Lyapunov functions

In this paper, a new gain-scheduling control design approach is applied to a supplementary damping controller (SDC) design for a FACTS device in the IEEE 50-machine system. The power system model with the FACTS device is linearized at different operating points to obtain an LPV open-loop model, whose state-space entries depend continuously on a time-varying parameter vector. A synthesis procedure for an improved LPV controller using multiple parameter-dependent Lyapunov functions and an interpolation scheme is presented and applied to the static VAr compensator (SVC) SDC design. Comparisons from simulation results are presented among the interpolated LPV controller designed using multiple parameter-dependent Lyapunov functions (MLPV SDC), the LPV controller designed using a single parameter-dependent Lyapunov function (SLPV SDC), and a conventional controller designed using the Root-locus method (RL SDC), which show that with an interpolated MLPV SDC for the SVC device, the system can achieve better robustness in an extended operating range

[1]  S.E.M. de Oliveira,et al.  Synchronizing and damping torque coefficients and power system steady-state stability as affected by static VAr compensators , 1994 .

[2]  A. Packard,et al.  Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback , 1994 .

[3]  P. Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[4]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[5]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[6]  Qian Liu,et al.  LPV supplementary damping controller design for a thyristor controlled series capacitor (TCSC) device , 2006, IEEE Transactions on Power Systems.

[7]  T. Higgins,et al.  Modal Control: Theory and Applications , 1972 .

[8]  P. Gahinet,et al.  H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..

[9]  Bikash C. Pal,et al.  A linear matrix inequality approach to robust damping control design in power systems with superconducting magnetic energy storage device , 2000 .

[10]  Fen Wu,et al.  Induced L2‐norm control for LPV systems with bounded parameter variation rates , 1996 .

[11]  R. L. Hauth,et al.  Application of a Static VAR System to Regulate System Voltage in Western Nebraska , 1978, IEEE Transactions on Power Apparatus and Systems.

[12]  Fen Wu,et al.  LPV Controller Interpolation for Improved Gain-Scheduling Control Performance , 2002 .

[13]  Vijay Vittal,et al.  Transient Stability Test Systems for Direct Stability Methods , 1992 .

[14]  Joe H. Chow,et al.  Power swing damping controller design using an iterative linear matrix inequality algorithm , 1999, IEEE Trans. Control. Syst. Technol..

[15]  Imad M. Jaimoukha,et al.  Mixed-sensitivity approach to H/sub /spl infin// control of power system oscillations employing multiple FACTS devices , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[16]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[17]  M. Khammash,et al.  Decentralized power system stabilizer design using linear parameter varying approach , 2004, IEEE Transactions on Power Systems.