Application of Bifurcation Theory to Voltage Stability in Power System

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In order to study on the problem of voltage stability of power system, this paper describes the static bifurcation analysis and the dynamic bifurcation analysis in voltage stabilization analysis of power system and its relationship with the voltage stability,discusses the voltage instability caused by two main bifurcation formal definition, the occurrence of the conditions and the calculation of the bifurcation point, and points out advantages and disadvantages of various algorithms. Finally the paper looks forward to further study of the bifurcation theory in terms of voltage stability.

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643-646

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Ke Chen, Anwar Hussein, Martin E. Bradley, and Haibin Wan. A Performance- Index Guided Continuation Method for Fast Computation of Saddle-Node Bifurcation in Power System. IEEE Trans on Power System, 2003, 18 (2): 753~760.

DOI: 10.1109/tpwrs.2003.811203

Google Scholar

[2] Andre Arthur Perleberg Lerm et al. Multiparameter Bifurcation Analysis of the South Brazilian Power System. IEEE Trans on Power Systems, 2003, 18 (2): 737~746.

DOI: 10.1109/tpwrs.2003.811195

Google Scholar

[3] Seydel R. From equilibrium to chaos, Practical bifurcation and stability analysis. Elsevier science publishing, Co. Inc. , (1988).

Google Scholar

[4] Seydel R. Numerical computation of branch points in nonlinear equations. Numerische Mathematik, 1979, Vol. 33: 981~991.

DOI: 10.1007/bf01398649

Google Scholar

[5] Ajjarapu V. Identification of steady-state voltage stability in power system. Int. J. Energy. Syst. , 1991, Vol. 33: 43~46.

Google Scholar

[6] Carpaneto E G, Chicco G et al. A Newton-Raphson method for steady state voltage stability assessment. Proc. Bulk Power Syst. , MD: 1991, PP. 341~345.

Google Scholar

[7] Chiang H D, Jumeau R J. A more efficient formulation for computation of the maximum loading in electric power system. IEEE Trans on Power Systems, 1995, 10(2).

DOI: 10.1109/59.387898

Google Scholar

[8] Jarjis J, Galiana F D, Quantitative analysis of steady state stability in power networks. IEEE PAS, 1981, Vol. 100, PP. 318~326.

DOI: 10.1109/tpas.1981.316845

Google Scholar

[9] Kwatny H G. Stability enhancement via secondary voltage regulation. In Proc. Bulk Power Syst., Voltage phenomenon: Voltage stability and security, Deep Creek Lake, MD ECC. Inc., 1991, p.147~155.

Google Scholar

[10] Lu J, Liu C W, Thorp J S. New methods for computing a saddle node bifurcation point for voltage collapse analysis. IEEE Trans on Power Systems, 1995, Vol. 10, p.978~985.

DOI: 10.1109/59.387942

Google Scholar

[11] Wasserstorm E. Numerical solutions by the continuation method. SIAM Rev., 1973, Vol. 15, pp., 89~119.

Google Scholar

[12] Canizares C A, Alvarado F L. Point of collapse and continuation methods for large AC/DC systems. IEEE Trans on Power Systems, 1992, Vol. 7, p.1~7.

DOI: 10.1109/59.221241

Google Scholar

[13] Ajjarapu V A, Christy C. The continuation power flow: A tool for solution around the maximum loading point. IEEE Trans on Power Systems, 1992, Vol. 7, p.416~423.

DOI: 10.1109/59.141737

Google Scholar

[14] Flatabo N et al. Advanced analytical tools in evaluating power system dynamic and security performance, Results of a questionnaire, I symposium of specialists in electric operational planning, Organized by electrobras, 1993, 15(1): 45~53.

Google Scholar

[15] Mees A I, Chua L. The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems. IEEE Trans. CAS, 1979, Vol. 26, p.235~254.

DOI: 10.1109/tcs.1979.1084636

Google Scholar

[16] Moiola J, Chen G. Computations of limit cycles via higher order harmonic balance approximations. IEEE Trans. Autom Contr., 1993, Vol. 38, p.782~790.

DOI: 10.1109/9.277247

Google Scholar