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An energy-shaping approach to the design of excitation control of synchronous generators. (English) Zbl 1006.93560

Summary: In this paper we discuss the estimation of the domain of attraction of equilibria in power systems and propose a new passivity-based controller design methodology for excitation control of synchronous generators. The methodology goes beyond the widely popular damping injection (\(L_gV\)) schemes, to actually shape the total energy function via modification of the energy transfer between the mechanical and electrical components of the system. Applying the procedure it is shown that a, properly tuned, linear state feedback enlarges both the estimates and the actual domain of attraction, thus increasing critical clearing time for faults. This is illustrated in two case studies, including a benchmark comparison with the classical control scheme.

MSC:

93C95 Application models in control theory
93C10 Nonlinear systems in control theory
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[1] Anderson, P. M., & Fouad, A. A. (1993). Power systems control and stability; Anderson, P. M., & Fouad, A. A. (1993). Power systems control and stability
[2] Bazanella, A.; Kototovic, P.; e Silva, A. S., A dynamic extension for \(L_gV\) controllers, IEEE Transactions on Automatic Control, 44, 588-592 (1999) · Zbl 0958.93052
[3] Boyd, S., & Vandenberghe, L. (2000). Introduction to convex optimization with engineering applications; Boyd, S., & Vandenberghe, L. (2000). Introduction to convex optimization with engineering applications
[4] De Leon-Morales, J.; Busawon, K.; Acha-Daza, S., A robust observed-based controller for synchronous generators, International Journal of Electrical Power and Energy Systems, 23, 195-211 (2001) · Zbl 0972.93013
[5] Galaz, M., Ortega, R., & Bazanella, A. (2001). A consistent parameter estimator for excitation control of synchronous generators; Galaz, M., Ortega, R., & Bazanella, A. (2001). A consistent parameter estimator for excitation control of synchronous generators · Zbl 1055.93061
[6] Ghandhari, M.; Andersson, G.; Pavella, M.; Ernst, D., A control strategy for controllable series capacitor in electric power systems, Automatica, 37, 1575-1583 (2001) · Zbl 0999.93053
[7] King, C. A.; Chapman, J. W.; Ilic, M. D., Feedback linearizing excitation control on a full-scale power system model, IEEE Transactions on Power Systems, 9, 1102-1109 (1994)
[8] Kirschen, D. S., Bacher, R., & Heydt, G. T. (Eds.). (2000). Special issue on the technology of power system competition. Proceedings of the IEEE; Kirschen, D. S., Bacher, R., & Heydt, G. T. (Eds.). (2000). Special issue on the technology of power system competition. Proceedings of the IEEE
[9] Kundur, P., Power system stability and control (1994), McGraw-Hill: McGraw-Hill New York
[10] Liu, Q. J., Sun, Y. Z., Song, Y. H., & Tielong Shen. (2001). Nonlinear coordinated excitation and SMES controller based on Hamiltonian structure for multimachine power system. Transient stability improvement. Technical Report, Tsinghua University.; Liu, Q. J., Sun, Y. Z., Song, Y. H., & Tielong Shen. (2001). Nonlinear coordinated excitation and SMES controller based on Hamiltonian structure for multimachine power system. Transient stability improvement. Technical Report, Tsinghua University.
[11] Lu, Q.; Sun, Y. Z., Nonlinear stabilizing control of multimachine power systems, IEEE Transactions on Power Systems, 4, 236-241 (1989)
[12] Machowski, J.; Bialek, J. W.; Bumby, J. R., Power system dynamics and stability (1997), Wiley: Wiley New York
[13] Mielczarsky, W.; Zajaczkowski, A. M., Nonlinear field voltage control of a synchronous generator using feedback linearization, Automatica, 30, 1625-1630 (1994) · Zbl 0925.93788
[14] Moon, Y.; Choi, B.-K.; Roh, T.-H., Estimating the domain of attraction for power systems via a group of damping-reflected energy functions, Automatica, 36, 419-425 (2000) · Zbl 0968.93532
[15] Ortega, R., Stankovic A., & Stefanov, P. (1998). A passivation approach to power systems stabilization. IFAC symposium nonlinear control systems design; Ortega, R., Stankovic A., & Stefanov, P. (1998). A passivation approach to power systems stabilization. IFAC symposium nonlinear control systems design
[16] Ortega, R.; van der Schaft, A. J.; Maschke, B. M.; Escobar, G., Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems, Automatica, 38, 585-896 (2002) · Zbl 1009.93063
[17] Paganini, F.; Lesieutre, B., Generic properties, one-parameter deformations and the BCU method, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 46, 6, 760-763 (1999)
[18] Pai, M. A., Energy function analysis for power system stability (1989), Kluwer Academic Publishers: Kluwer Academic Publishers Boston, MA
[19] Sastry, S., Nonlinear systems: Analysis, stability and control (1999), Springer: Springer Berlin
[20] Shen, T., Ortega, R., Lu, Q., Mei, S., & Tamura, K. (2000). Adaptive \(L_2\)IEEE conference on decision and controlAsian J of Control; Shen, T., Ortega, R., Lu, Q., Mei, S., & Tamura, K. (2000). Adaptive \(L_2\)IEEE conference on decision and controlAsian J of Control
[21] Sun, Y. Z.; Song, Y. H.; Li, X., Novel energy-based Lyapunov function for controlled power systems, IEEE Power Engineering Review, 20, 5, 55-57 (2000)
[22] Tsolas, N. A.; Arapostathis, A.; Varaiya, P. P., A structure preserving energy function for power system transient stability analysis, IEEE Transactions on Circuits and Systems, 32, 1041-1049 (1985)
[23] Wang, Y.; Hill, D. J.; Middleton, R. H.; Gao, L., Transient stability enhancement and voltage regulation of power system, IEEE Transactions on Power Systems, 8, 620-627 (1993)
[24] Zaborsky, J.; Huang, G.; Zheng, B., A counterexample on a theorem by Tsolas et al. and an independent result by Zaborsky et al, IEEE Transactions on Automatic Control, 33, 316-317 (1988) · Zbl 0709.93502
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