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Volumn 18, Issue 2, 2003, Pages 753-760

A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems

Author keywords

Continuation method; Performance indices; Power flow equations; Q limit index; Reactive power limits; Saddle node bifurcation; Voltage collapse

Indexed keywords

BIFURCATION (MATHEMATICS); ELECTRIC POTENTIAL; OPTIMIZATION; PLANNING; REACTIVE POWER;

EID: 0037843101     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2003.811203     Document Type: Article
Times cited : (28)

References (41)
  • 1
    • 0001795886 scopus 로고
    • An efficient algorithm for the determination of certain bifurcation points
    • J. P. Abbott, "An efficient algorithm for the determination of certain bifurcation points," J. Comput. Appl. Math, vol. 4, no. 1, pp. 19-27, 1978.
    • (1978) J. Comput. Appl. Math , vol.4 , Issue.1 , pp. 19-27
    • Abbott, J.P.1
  • 2
    • 0026821376 scopus 로고
    • The continuation power flow: A tool for steady state voltage stability analysis
    • Feb.
    • V. Ajjarapu and C. Christy, "The continuation power flow: A tool for steady state voltage stability analysis," IEEE Trans. Power Syst., vol. 7, pp. 416-423, Feb. 1992.
    • (1992) IEEE Trans. Power Syst. , vol.7 , pp. 416-423
    • Ajjarapu, V.1    Christy, C.2
  • 4
    • 0038228324 scopus 로고    scopus 로고
    • Numerical continuation, and computation of normal forms
    • B. Fiedler, G. Iooss, and N. Kopell, Eds. Amsterdam, The Netherlands
    • W. J. Beyn, A. Champneys, E. Doedel, W. Govaerts, A. K. Yu, and B. Sandstede, "Numerical continuation, and computation of normal forms," in Handbook of Dynamical Systems II, B. Fiedler, G. Iooss, and N. Kopell, Eds. Amsterdam, The Netherlands, 2002, pp. 149-219.
    • (2002) Handbook of Dynamical Systems II , pp. 149-219
    • Beyn, W.J.1    Champneys, A.2    Doedel, E.3    Govaerts, W.4    Yu, A.K.5    Sandstede, B.6
  • 5
    • 0032072452 scopus 로고    scopus 로고
    • First and second order methods for voltage collapse assessment and security enhancement
    • May
    • A. Berizzi, P. Finazzi, D. Dosi, P. Marannino, and S. Costi, "First and second order methods for voltage collapse assessment and security enhancement," IEEE Trans. Power Syst., vol. 13, pp. 543-551, May 1998.
    • (1998) IEEE Trans. Power Syst. , vol.13 , pp. 543-551
    • Berizzi, A.1    Finazzi, P.2    Dosi, D.3    Marannino, P.4    Costi, S.5
  • 6
    • 0027544699 scopus 로고
    • Point of collapse and continuation methods for large AC/DC systems
    • Feb.
    • C. A. Canizares and F. L. Alvarado, "Point of collapse and continuation methods for large AC/DC systems," IEEE Trans. Power Syst., vol. 8, pp. 1-8, Feb. 1993.
    • (1993) IEEE Trans. Power Syst. , vol.8 , pp. 1-8
    • Canizares, C.A.1    Alvarado, F.L.2
  • 7
    • 0030211962 scopus 로고    scopus 로고
    • Comparison of performance indices for detection of proximity to voltage collapse
    • Aug.
    • C. A. Canizares, A. Z. de Souza, and V. H. Quintana, "Comparison of performance indices for detection of proximity to voltage collapse," IEEE Trans. Power Syst., vol. 11, pp. 1441-1450, Aug. 1996.
    • (1996) IEEE Trans. Power Syst. , vol.11 , pp. 1441-1450
    • Canizares, C.A.1    De Souza, A.Z.2    Quintana, V.H.3
  • 8
    • 85048807761 scopus 로고    scopus 로고
    • Voltage stability indices
    • IEEE/Power Eng. Soc. PSS Subcommittee Special Publication; ch. 4
    • C. A. Canizares, "Voltage stability indices," in Voltage Stability Assessment, Procedures and Guides: IEEE/Power Eng. Soc. PSS Subcommittee Special Publication, 2002, ch. 4.
    • (2002) Voltage Stability Assessment, Procedures and Guides
    • Canizares, C.A.1
  • 10
    • 0009901652 scopus 로고    scopus 로고
    • An analysis of Seydel's test function methods for nonlinear power flow equations
    • K. Chen, A. Hussein, and H. B. Wan, "An analysis of Seydel's test function methods for nonlinear power flow equations," Int. J. Comput. Math., vol. 78, no. 1/2, pp. 451-470, 2001.
    • (2001) Int. J. Comput. Math. , vol.78 , Issue.1-2 , pp. 451-470
    • Chen, K.1    Hussein, A.2    Wan, H.B.3
  • 11
    • 0036502975 scopus 로고    scopus 로고
    • On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations
    • ____, "On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations," J. Comput. Appl. Math., vol. 140, no. 1-2, pp. 119-141, 2002.
    • (2002) J. Comput. Appl. Math. , vol.140 , Issue.1-2 , pp. 119-141
    • Chen, K.1    Hussein, A.2    Wan, H.B.3
  • 12
    • 0029307337 scopus 로고
    • Toward a practical performance index for predicting voltage collapse in electric power systems
    • May
    • H.-D. Chiang and R. Jean-Jumeau, "Toward a practical performance index for predicting voltage collapse in electric power systems," IEEE Trans. Power Syst., vol. 10, no. 2, pp. 584-592, May 1995.
    • (1995) IEEE Trans. Power Syst. , vol.10 , Issue.2 , pp. 584-592
    • Chiang, H.-D.1    Jean-Jumeau, R.2
  • 13
    • 0029307424 scopus 로고
    • A more efficient formulation for computation of the maximum loading points in electrical power systems
    • May
    • ____, "A more efficient formulation for computation of the maximum loading points in electrical power systems," IEEE Trans. Power Syst., vol. 10, pp. 635-646, May 1995.
    • (1995) IEEE Trans. Power Syst. , vol.10 , pp. 635-646
    • Chiang, H.-D.1    Jean-Jumeau, R.2
  • 14
    • 0031197260 scopus 로고    scopus 로고
    • New techniques to speed up voltage collapse computations using tangent vectors
    • Aug.
    • A. Z. de Souza, C. A. Canizares, and V. H. Quintana, "New techniques to speed up voltage collapse computations using tangent vectors," IEEE Trans. Power Syst., vol. 12, no. 3, pp. 1380-1387, Aug. 1997.
    • (1997) IEEE Trans. Power Syst. , vol.12 , Issue.3 , pp. 1380-1387
    • De Souza, A.Z.1    Canizares, C.A.2    Quintana, V.H.3
  • 16
    • 0024732820 scopus 로고
    • Toward a theory of voltage collapse in electric power systems
    • I. Dobson and H. D. Chiang, "Toward a theory of voltage collapse in electric power systems," System and Control Letters, vol. 13, pp. 253-262, 1989.
    • (1989) System and Control Letters , vol.13 , pp. 253-262
    • Dobson, I.1    Chiang, H.D.2
  • 17
    • 50349103355 scopus 로고
    • Voltage collapse precipitated by the immediate change in stability when generator reactive power limits are encountered
    • Sept.
    • I. Dobson and L. Lu, "Voltage collapse precipitated by the immediate change in stability when generator reactive power limits are encountered," IEEE Trans. Circuits Syst., pt. 1, vol. 39, pp. 762-766, Sept. 1992.
    • (1992) IEEE Trans. Circuits Syst. , vol.39 , Issue.PART 1 , pp. 762-766
    • Dobson, I.1    Lu, L.2
  • 18
    • 0030082657 scopus 로고    scopus 로고
    • Methods for contingency screening and ranking for voltage stability analysis of power systems
    • Feb.
    • G. C. Ejebe, G. D. Irisarri, S. Mokhtari, O. Obadina, P. Ristanovic, and J. Tong, "Methods for contingency screening and ranking for voltage stability analysis of power systems," IEEE Trans. Power Syst., vol. 11, pp. 350-356, Feb. 1996.
    • (1996) IEEE Trans. Power Syst. , vol.11 , pp. 350-356
    • Ejebe, G.C.1    Irisarri, G.D.2    Mokhtari, S.3    Obadina, O.4    Ristanovic, P.5    Tong, J.6
  • 24
    • 0037890833 scopus 로고    scopus 로고
    • Voltage collapse margin sensitivity methods applied to the power system of Southwest England
    • NGC
    • S. Greene and I. Dobson, "Voltage Collapse Margin Sensitivity Methods Applied to the Power System of Southwest England," NGC, 1998.
    • (1998)
    • Greene, S.1    Dobson, I.2
  • 25
    • 0031079074 scopus 로고    scopus 로고
    • Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters
    • Feb.
    • S. Greene, I. Dobson, and F. L. Alvarado, "Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters," IEEE Trans. Power Syst., vol. 12, pp. 262-272, Feb. 1997.
    • (1997) IEEE Trans. Power Syst. , vol.12 , pp. 262-272
    • Greene, S.1    Dobson, I.2    Alvarado, F.L.3
  • 26
    • 0033079515 scopus 로고    scopus 로고
    • Contingency ranking for voltage collapse via sensitivities from a single nose curve
    • Feb.
    • ____, "Contingency ranking for voltage collapse via sensitivities from a single nose curve," IEEE Trans. Power Syst., vol. 14, pp. 232-240, Feb. 1999.
    • (1999) IEEE Trans. Power Syst. , vol.14 , pp. 232-240
    • Greene, S.1    Dobson, I.2    Alvarado, F.L.3
  • 27
    • 0036474058 scopus 로고    scopus 로고
    • Sensitivity of transfer capability margins with a fast formula
    • Feb.
    • ____, "Sensitivity of transfer capability margins with a fast formula," IEEE Trans. Power Syst., vol. 17, pp. 34-40, Feb. 2002.
    • (2002) IEEE Trans. Power Syst. , vol.17 , pp. 34-40
    • Greene, S.1    Dobson, I.2    Alvarado, F.L.3
  • 28
  • 29
    • 0038228323 scopus 로고    scopus 로고
    • Efficient computational methods for a practical performance index and the exact voltage collapse point in electrical power systems
    • R. Jean-Jumeau, H.-D. Chiang, and R. T. Thomas, "Efficient computational methods for a practical performance index and the exact voltage collapse point in electrical power systems," in Proc. 31st Conf. Decision Contr., Tucson, AZ, USA, 1992.
    • Proc. 31st Conf. Decision Contr., Tucson, AZ, USA, 1992
    • Jean-Jumeau, R.1    Chiang, H.-D.2    Thomas, R.T.3
  • 33
    • 0000863468 scopus 로고
    • The calculation of turning points of nonlinear equations
    • G. Moore and A. Spence, "The calculation of turning points of nonlinear equations," SIAM J. Numer. Anal., vol. 17, pp. 567-576, 1980.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 567-576
    • Moore, G.1    Spence, A.2
  • 34
    • 0030214348 scopus 로고    scopus 로고
    • Application of an optimization method for determining the reactive margin from voltage collapse in reactive power planning
    • Aug.
    • C. J. Parker, I. F. Morrison, and D. Sutanto, "Application of an optimization method for determining the reactive margin from voltage collapse in reactive power planning," IEEE Trans. Power Syst., vol. 11, pp. 1473-1481, Aug. 1996.
    • (1996) IEEE Trans. Power Syst. , vol.11 , pp. 1473-1481
    • Parker, C.J.1    Morrison, I.F.2    Sutanto, D.3
  • 35
    • 0002274823 scopus 로고
    • Numerical computation of branch points in nonlinear equations
    • R. Seydel, "Numerical computation of branch points in nonlinear equations," Numer. Math., vol. 33, pp. 339-352, 1979.
    • (1979) Numer. Math. , vol.33 , pp. 339-352
    • Seydel, R.1
  • 36
    • 0001608607 scopus 로고
    • On detecting stationary bifurcations
    • ____, "On detecting stationary bifurcations," Int. J. Bifurcations and Chaos, vol. 1, no. 2, pp. 335-337, 1991.
    • (1991) Int. J. Bifurcations and Chaos , vol.1 , Issue.2 , pp. 335-337
    • Seydel, R.1
  • 38
    • 0000799232 scopus 로고    scopus 로고
    • On a class of bifurcation test functions
    • ____, "On a class of bifurcation test functions," Chaos, Solitons & Fractals, vol. 8, no. 6, pp. 851-855, 1997.
    • (1997) Chaos, Solitons & Fractals , vol.8 , Issue.6 , pp. 851-855
    • Seydel, R.1
  • 40
    • 0037890831 scopus 로고    scopus 로고
    • Numerical methods for bifurcation problems
    • M. Ainsworth, J. Levesley, and M. Marletta, Eds. New York: Springer-Verlag
    • A. Spence and I. G. Graham, "Numerical methods for bifurcation problems," in The Graduate Student's Guide to Numerical Analysis '98, M. Ainsworth, J. Leesley, and M. Marletta, Eds. New York: Springer-Verlag, 1999.
    • (1999) The Graduate Student's Guide to Numerical Analysis '98
    • Spence, A.1    Graham, I.G.2
  • 41


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.