Calculation of Stability Region

Proceedings of the IEEE Conference on Decision and Control

Volumn 6, Issue , 2003, Pages 5615-5620

  Cheng, Daizhan ^a   Ma, Jin ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATION THEORY; ELECTRIC POWER SYSTEMS; MATRIX ALGEBRA; TENSORS; TRAJECTORIES; VECTORS;

STABILITY REGION; TAYLOR EXPANSION;

SYSTEM STABILITY;

EID: 1542378353     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1271897     Document Type: Conference Paper

References (10)

1. D. Cheng, Semi-tensor product of matrices and its application to Morgen's problem, Chinese Science, series F, Vol. 44, No. 3, 2001, 195-212.
2. D. Cheng, Matrix and Polynomial Approach to Dynamic Control Systems, Science Press, 2002.
3. H.D. Chiang, M. Hirsch and F. Wu, Stability regions of nonlinear autonomous dynamical systems, IEEE Trans. Automat. Contr., Vol. 33, No. 1, pp 16-27, 1988.
4. H.D. Chiang, F.F. Wu, Foundations of the potential energy boundary surface method for power system transient stability analysis, IEEE Trans. Circ. Sys., Vol. 35, No. 6, pp 712-728, 1988.
5. H.D. Chiang, C.C. Chu, G. Cauley, Direct stability analysis of electric power systems using energy functions: theory, applications, and perspective, Proceedings of IEEE Vol. 83, No. 11, pp 1497-1529, 1995.
6. J.R. Magnus, H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, Revised Ed., John Wiley & Sons, 1999.
7. S. Saha, A.A. Fouad, W.H. Kliemamm, V. Vittal, Stability boundary approximation of a power system using the real normal form of vector fields, IEEE Trans, Power Sys., Vol. 12, No. 2, 797-802, 1997.
8. P.V. Varaiya, F.F. Wu and R. Chen, Direct methods for transient stability analysis of power systems: cecent results, Proc. IEEE, Vol. 73, No. 12, 1985, pp 1703-1715.
9. V. Venkatasubramanian, and W. Ji, Numerical approximation of (n - 1)-dimensional stable manifolds in large systems such as the power system, Automatica, Vol. 33, No. 10, 1997, 1877-1883.
10. J.G. Zaborszky, J.G. Huang, B. Zheng and T.C. Leung, On the phase protraits of a class of large nonlinear dynamic systems such as the power systems, IEEE Trans. Autom. Contr., Vol. 33, No. 1, pp 4-15, 1988.