메뉴 건너뛰기




Volumn 33, Issue 10, 1997, Pages 1877-1883

Numerical Approximation of (n - 1)-Dimensional Stable Manifolds in Large Systems such as the Power System

Author keywords

Large systems; Nonlinear systems; Power systems; Stability

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; ELECTRIC POWER SYSTEM INTERCONNECTION; LARGE SCALE SYSTEMS; NUMERICAL METHODS; SYSTEM STABILITY;

EID: 0031250947     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(97)00094-0     Document Type: Article
Times cited : (32)

References (14)
  • 1
    • 0000666655 scopus 로고
    • On the optimal stabilization of nonlinear systems
    • Al'brect, E. G. (1961). On the optimal stabilization of nonlinear systems. J. Appl. Math. Mech., 25, 154-1266.
    • (1961) J. Appl. Math. Mech. , vol.25 , pp. 154-1266
    • Al'brect, E.G.1
  • 2
    • 0023854584 scopus 로고
    • Stability regions of nonlinear autonomous dynamical systems
    • Chiang, H. D., M. Hirsch and F. Wu (1988). Stability regions of nonlinear autonomous dynamical systems. IEEE Trans. Automat. Control, 33(1), pp. 16-27.
    • (1988) IEEE Trans. Automat. Control , vol.33 , Issue.1 , pp. 16-27
    • Chiang, H.D.1    Hirsch, M.2    Wu, F.3
  • 3
    • 0347470000 scopus 로고
    • Power system transient stability assessment using the transient energy function method
    • Academic Press, New York
    • Fouad A. A. and V. Vittal (1991). Power system transient stability assessment using the transient energy function method. In Control and Dynamic Systems: Advances in Theory and Applications, Vol. 43, Part 3, Academic Press, New York, pp. 115-183.
    • (1991) Control and Dynamic Systems: Advances in Theory and Applications , vol.43 , Issue.3 PART , pp. 115-183
    • Fouad, A.A.1    Vittal, V.2
  • 4
    • 0011314250 scopus 로고
    • Computation of invariant manifolds
    • Ed. P. J. Holmes SIAM, Philadelphia
    • Hassard, B. D. (1980) Computation of invariant manifolds. In New Approaches to Nonlinear Problems in Dynamics, Ed. P. J. Holmes SIAM, Philadelphia, pp. 27-41.
    • (1980) New Approaches to Nonlinear Problems in Dynamics , pp. 27-41
    • Hassard, B.D.1
  • 5
    • 0029190829 scopus 로고
    • Center manifold computations in bifurcation analysis of large systems such as the power system
    • Seattle, WA
    • Ji, W. and V. Venkatasubramanian (1995). Center manifold computations in bifurcation analysis of large systems such as the power system. Proc. Amer. Control Conf., Seattle, WA, pp.1573-15579.
    • (1995) Proc. Amer. Control Conf. , pp. 1573-15579
    • Ji, W.1    Venkatasubramanian, V.2
  • 6
    • 0029189814 scopus 로고
    • Local approximation of stability boundary of a power system using the real normal form of vector fields
    • Seattle, WA
    • Saha, S., V. Vittal, W. Kliemann and A. A. Fouad (1995). Local approximation of stability boundary of a power system using the real normal form of vector fields. Proc. IEEE Int. Symp. on Circuits and Systems, Seattle, WA, pp. 2330-2333.
    • (1995) Proc. IEEE Int. Symp. on Circuits and Systems , pp. 2330-2333
    • Saha, S.1    Vittal, V.2    Kliemann, W.3    Fouad, A.A.4
  • 7
    • 0020906148 scopus 로고
    • Analytic expressions for the unstable manifold at equilibrium points in dynamical systems of differential equations
    • Salam, F. M. A., A. Arapostathis and P. Varaiya (1983). Analytic expressions for the unstable manifold at equilibrium points in dynamical systems of differential equations. Proc. IEEE Conf. on Decision and Control, pp. 1389-1392.
    • (1983) Proc. IEEE Conf. on Decision and Control , pp. 1389-1392
    • Salam, F.M.A.1    Arapostathis, A.2    Varaiya, P.3
  • 8
    • 84968514104 scopus 로고
    • Differential dynamical systems
    • Smale, S. (1967). Differential dynamical systems. Bull. Amer. Math. Soc., 73, 747-817.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 747-817
    • Smale, S.1
  • 9
    • 0042529232 scopus 로고
    • Analytic expressions of unstable manifolds
    • Ushiki, S. (1980). Analytic expressions of unstable manifolds. Proc. Japan Academy, A56, 239-244.
    • (1980) Proc. Japan Academy , vol.A56 , pp. 239-244
    • Ushiki, S.1
  • 10
    • 0022188508 scopus 로고
    • Direct methods for transient stability analysis of power systems: Recent results
    • Varaiya, P. V., F. F. Wu and R. Chen (1985). Direct methods for transient stability analysis of power systems: recent results. Proc. IEEE, 73(12), 1703-1715.
    • (1985) Proc. IEEE , vol.73 , Issue.12 , pp. 1703-1715
    • Varaiya, P.V.1    Wu, F.F.2    Chen, R.3
  • 11
    • 0023548228 scopus 로고
    • New results on stability monitoring on the large electric power systems
    • Los Angeles
    • Zaborszky, J., G. Huang and B. Zheng (1987). New results on stability monitoring on the large electric power systems. Proc. IEEE Conf. on Decision and Control, Los Angeles, pp. 30-40.
    • (1987) Proc. IEEE Conf. on Decision and Control , pp. 30-40
    • Zaborszky, J.1    Huang, G.2    Zheng, B.3
  • 12
    • 0023982340 scopus 로고
    • A counter-example on a theorem by Tsolas et al. and an independent result by Zaborszky et al
    • Zaborszky, J., G. Huang and B. Zheng (1988a). A counter-example on a theorem by Tsolas et al. and an independent result by Zaborszky et al. IEEE Trans. Automat. Control, 33(3), 316-318.
    • (1988) IEEE Trans. Automat. Control , vol.33 , Issue.3 , pp. 316-318
    • Zaborszky, J.1    Huang, G.2    Zheng, B.3
  • 13
    • 0023828953 scopus 로고    scopus 로고
    • On the phase portraits of a class of large nonlinear dynamic systems such as the power system
    • Zaborszky, J., G. Huang, B. Zheng and T. C. Leung (1998). On the phase portraits of a class of large nonlinear dynamic systems such as the power system. IEEE Trans. Automat. Control, 33 (1), 4-15.
    • (1998) IEEE Trans. Automat. Control , vol.33 , Issue.1 , pp. 4-15
    • Zaborszky, J.1    Huang, G.2    Zheng, B.3    Leung, T.C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.