An explicit solution of the power balance equations of structure preserving power system models

IEEE Transactions on Power Systems

Volumn 24, Issue 2, 2009, Pages 759-765

  Dib, Wissam ^a   Barabanov, Andrey E ^b   Ortega, Romeo ^a   Lamnabhi Lagarrigue, Françoise ^a  

^a CNRS   (France)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Differential algebraic equations; Power systems; Structure preserving model

Indexed keywords

ALGEBRAIC CONSTRAINTS; ALGEBRAIC EQUATIONS; CONTROL LAWS; DIFFERENTIAL ALGEBRAIC EQUATIONS; DOMAIN OF ATTRACTION; DYNAMIC BEHAVIORS; EXPLICIT SOLUTIONS; MULTI MACHINE POWER SYSTEM; POWER BALANCE EQUATIONS; POWER FLOW BALANCE; POWER SYSTEM MODEL; POWER SYSTEMS; STRUCTURE PRESERVING MODEL; STRUCTURE-PRESERVING; TRANSIENT STABILIZATION;

DIFFERENTIAL EQUATIONS; ELECTRIC POWER TRANSMISSION NETWORKS; MODEL STRUCTURES; POWER TRANSMISSION; SYSTEMS ANALYSIS;

ALGEBRA;

EID: 67349248481     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2008.2012191     Document Type: Article

References (13)

1. R. Ortega, M. Galaz, A. Astolfi, Y. Sun, and T. Shen, "Transient stabilization of multimachine power systems with nontrivial transfer conductances," IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 60-75, Jan. 2005.
2. P. Kundur, Power System Stability and Control. New York: McGraw-Hill, 1994.
3. M. A. Pai, Energy Function Analysis for Power System Stability. Norwell, MA: Kluwer, 1989.
4. H. D. Chiang, "Study of the existence of energy functions for power systems with losses," IEEE Trans. Circuits Syst., vol. CAS-36, no. 11, pp. 1423-1429, Nov. 1989.
5. N. G. Bretas and L. F. C. Alberto, "Lyapunov function for power systems with transfer conductances: Extension of the invariance principle," IEEE Trans. Power Syst., vol. 18, no. 2, pp. 769-777, May 2003.
6. A. Bergen and D. Hill, "A structure preserving model for power system stability analysis," IEEE Trans. Power App. Syst., vol. PAS-100, no. 1, pp. 25-35, Jan. 1981.
7. A. Giusto, R. Ortega, and A. Stankovic, "On transient stabilization of power systems: A power-shaping solution for structure-preserving models," in Proc. 45th IEEE Conf. Decision and Control, San Diego, CA, 2006.
8. Y. Z. Sun, Y. H. Song, and X. Li, "Novel energy-based Lyapunov function for controlled power systems," IEEE Power Eng. Rev., vol. 20, no. 5, pp. 55-57, May 2000.
9. W. Dib, A. Barabanov, R. Ortega, and F. Lamnabhi-Lagarrigue, "On transient stability of multi-machine power systems: A "globally" convergent controller for structure-preserving models," in Proc. Int. Federation Automatic Control World Congr., Seoul, Korea, Jul. 2008.
10. N. A. Tsolas, A. Arapostathis, and P. P. Varaiya, "A structure preserving energy function for power system transient stability analysis," IEEE Trans. Circuits Syst., vol. 32, no. 10, pp. 1041-1049, Oct. 1985.
11. P. Varaiya, F. Wu, and R. Chen, "Direct methods for transient stability analysis of power systems: Recent results," Proc. IEEE, vol. 73, no. 12, pp. 1703-1714, Dec. 1985.
12. P. M. Anderson and A. A. Fouad, Power Systems Control and Stability Ames, IA: The Iowa State Univ. Press, 1977.
13. F. Milano, "An open source Power System Analysis Toolbox," IEEE Trans. Power Syst., vol. 20, no. 3, pp. 1199-1206, Aug. 2005.