Recursive Design of Nonlinear Disturbance Attenuation Control for STATCOM

  • Liu Feng (Institute of System Science) ;
  • Mei Shengwei (Department of Electrical Engineering, Tsinghua University) ;
  • Lu Qiang (Department of Electrical Engineering, Tsinghua University) ;
  • Goto Masno (Power System Division, Hitachi Ltd.)
  • Published : 2005.06.01

Abstract

In this paper, a nonlinear robust control approach is applied to design a controller for the Static Synchronous Compensator (STATCOM). A robust control dynamic model of STATCOM in a one-machine, infinite-bus system is established with consideration of the torque disturbance acting on the rotating shaft of the generator set and the disturbance to the output voltage of STATCOM. A novel recursive approach is utilized to construct the energy storage function of the system such that the solution to the disturbance attenuation control problem is acquired, which avoids the difficulty involved in solving the Hamilton-Jacobi-Issacs (HJI) inequality. Sequentially, the nonlinear disturbance attenuation control strategy of STATCOM is obtained. Simulation results demonstrate that STATCOM with the proposed controller can more effectively improve the voltage stability, damp the oscillation, and enhance the transient stability of power systems compared to the conventional PI+PSS controller.

Keywords

References

  1. L. Gyugri, N. G. Hingorani, P. R. Nanney et al. Advanced Static Var Compensator Using GateTurn-Off Thyristor for Utility Application, CIGRE Paris, August 1990
  2. C. Jianye, W. Zhonghong, et al. ‘The present research situation of STATCOM,’ Journal of Tsinghua University (Science and Tech.), vol. 37, no. 7, pp. 7-12, May 1997
  3. K. V. Patil, J. Senthil, J. Jiang, and R. M. Mathur, ‘Application of STATCOM for damping torsional oscillations in series compensated AC systems,’ IEEE Trans. on Energy Conversion, vol. 13, no. 3, pp. 237-243, September 1998
  4. M. Kristic, 1. Kanellakopoulos, and P. Kokotovic. Nonlinear and Adaptive Control Design, New Jersey, Prentice Hall, 1995
  5. S. Mori, K. Matsuno, T. Hasegawa, S. Ohnishi, M. Takeda, M. Seto, S. Murakami, and F. Tshiguro, ‘Development of a large static VAr generator using self-commutated inverter for improving power system stability,‘ IEEE Trans. on Power Systems, vol. 8, no. 1, pp. 371-377, 1993
  6. S. Chen and S. Yuanzhang, ‘The effects of applying nonlinear control of STATCOM to improve power system's damping ability,’ Power System Automation, vol. 21, no. 5,1997
  7. L. H. Walker, ‘10MW GTO converter for battery peaking service,‘ IEEE Trans. on Industry Applications, vol. 26, no. 1, pp. 63-72, 1990
  8. P. W. Lehn and M. R. Travani, ‘Experimental evaluation of STATCOM closed loop dynamics,’ IEEE Trans. on Power Delivery, vol. 13, no. 4, pp. 1378-1384, October 1998
  9. A. van der Schaft, L$_2$-Gain and Passivity Techniques in Nonlinear Control, Springer Press, London, 1996
  10. C. Byrnes, A. Isidori, and J. Willems, ‘Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems,’ IEEE Trans. on Automatic Control, vol. 36, no. 11, pp. 1228-1240, 1991
  11. L. Qiang and M. Shengwei, ‘Recursive design of nonlinear H’, excitation controller,' Science in China (Series E), vol. 43, no. 1, pp. 23-31, 2000
  12. Q. Lu, S. Mei, W. Hu, and Y. H. Song, 'Decentralized nonlinear $H_{\infty}\$ control based on regulation linearization,' lEE Proc. Generation, Transmission and Distribution, vol. 147, no. 4, pp. 245-251,2000
  13. Q. Lu, Y Sun, and S. Mei, Nonlinear Control Systems and Power System Dynamics, Kluwer Publisher, USA, 2001