Co‐ordinated<i>H</i><sub>∞</sub>control of excitation and governor of hydroturbo‐generator sets: a Hamiltonian approach
Authors
Shengwei Mei, Feng Liu, Ying Chen, Qiang Lu
Abstract
This paper presents a co‐ordinatedH∞controller design of excitation and governor of hydroturbo‐generator sets, which is on the basis of the port‐controlled Hamiltonian (PCH) method. Firstly, the dissipative Hamiltonian realization is achieved via static state feedback, and sequentially the Hamiltonian controller is obtained based on the theory of PCH system with dissipation. Such control strategies fully consider the inherent nonlinearities and non‐minimum phase characteristic of the system dynamics, including the rigid water‐hammer phenomenon. Furthermore, the property of disturbance attenuation of this controller is revealed in the sense ofH∞. The selection of the disturbance attenuation level and the corresponding feedback gain is discussed as well. Then the effects of control input constraints are analysed, sequentially, applied to design the co‐ordinatedH∞saturating control of the considered system. Finally, digital simulations that performed on a one‐machine, infinite‐bus (OMIB) system have verified the effectiveness of the proposed co‐ordinated controllers. Copyright © 2004 John Wiley & Sons, Ltd.
Citation
- Journal: International Journal of Robust and Nonlinear Control
- Year: 2004
- Volume: 14
- Issue: 9-10
- Pages: 807–832
- Publisher: Wiley
- DOI: 10.1002/rnc.909
BibTeX
@article{Mei_2004,
title={{Co‐ordinatedH∞control of excitation and governor of hydroturbo‐generator sets: a Hamiltonian approach}},
volume={14},
ISSN={1099-1239},
DOI={10.1002/rnc.909},
number={9–10},
journal={International Journal of Robust and Nonlinear Control},
publisher={Wiley},
author={Mei, Shengwei and Liu, Feng and Chen, Ying and Lu, Qiang},
year={2004},
pages={807--832}
}
References
- Newton ME, Optimal control of turbo‐generator. International Journal of Control (1977)
- Lu, Q. & Sun, Y. Z. Nonlinear stabilizing control of multimachine systems. IEEE Trans. Power Syst. 4, 236–241 (1989) – 10.1109/59.32483
- Lu, Q., Sun, Y., Xu, Z. & Mochizuki, T. Decentralized nonlinear optimal excitation control. IEEE Trans. Power Syst. 11, 1957–1962 (1996) – 10.1109/59.544670
- Lu, Q., Sun, Y. & Mei, S. Nonlinear Control Systems and Power System Dynamics. (Springer US, 2001). doi:10.1007/978-1-4757-3312-9 – 10.1007/978-1-4757-3312-9
- Gao, L., Chen, L., Fan, Y. & Ma, H. A nonlinear control design for power systems. Automatica 28, 975–979 (1992) – 10.1016/0005-1098(92)90150-e
- Maschke, B. M. J., Ortega, R. & van der Schaft, A. J. Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation. Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) vol. 4 3599–3604 – 10.1109/cdc.1998.761738
- Byrnes, C. I., Isidori, A. & Willems, J. C. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. IEEE Trans. Automat. Contr. 36, 1228–1240 (1991) – 10.1109/9.100932
- Cheng, D., Xi, Z., Lu, Q. & Mei, S. Geometric structure of generalized controlled Hamiltonian systems and its application. Sci. China Ser. E-Technol. Sci. 43, 365–379 (2000) – 10.1007/bf02916984
- Cheng, D. & Spurgeon, S. Stabilization of Hamiltonian systems with dissipation. International Journal of Control 74, 465–473 (2001) – 10.1080/00207170010010551
- Sun, Y. Z., Song, Y. H. & Li, X. Novel energy-based Lyapunov function for controlled power systems. IEEE Power Eng. Rev. 20, 55–57 (2000) – 10.1109/39.841351
- Sun YZ, A new Lyapunov function for transient stability analysis of controlled power systems. IEEE Power Engineering Society Winter Meeting (2000)
- Xi, Z., Cheng, D., Lu, Q. & Mei, S. Nonlinear decentralized controller design for multimachine power systems using Hamiltonian function method. Automatica 38, 527–534 (2002) – 10.1016/s0005-1098(01)00233-3
- Xi, Z. & Cheng, D. Passivity-based stabilization and H 8 control of the Hamiltonian control systems with dissipation and its applications to power systems. International Journal of Control 73, 1686–1691 (2000) – 10.1080/00207170050201762
- van der Schaft, A. J. L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control. IEEE Trans. Automat. Contr. 37, 770–784 (1992) – 10.1109/9.256331