On Adapting Test Function Methods for Fast Detection of fold bifurcations in Power Systems

Test function methods are well known techniques to monitor a continuation method to determine if a fold (saddle-point) bifurcation point has been reached. Two such test functions due to [Abbott, 19...

[1]  Alexander J. Flueck,et al.  Look-ahead voltage and load margin contingency selection functions for large-scale power systems , 1997 .

[2]  A.C.Z. de Souza,et al.  New techniques to speed up voltage collapse computations using tangent vectors , 1997 .

[3]  R. Seydel ON DETECTING STATIONARY BIFURCATIONS , 1991 .

[4]  Fernando L. Alvarado,et al.  Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters , 1997 .

[5]  Ian Dobson,et al.  Towards a theory of voltage collapse in electric power systems , 1989 .

[6]  A.C.Z. de Souza,et al.  Comparison of performance indices for detection of proximity to voltage collapse , 1996 .

[7]  R. Seydel Numerical computation of branch points in nonlinear equations , 1979 .

[8]  G. C. Ejebe,et al.  Methods for contingency screening and ranking for voltage stability analysis of power systems , 1995 .

[9]  W. Govaerts BORDERED MATRICES AND SINGULARITIES OF LARGE NONLINEAR SYSTEMS , 1995 .

[10]  Ke Chen,et al.  An analysis of seydel' test function methods for nonlinear power flow equations , 2001, Int. J. Comput. Math..

[11]  Rüdiger Seydel On a class of bifurcation test functions , 1997 .

[12]  Hsiao-Dong Chiang,et al.  Toward a practical performance index for predicting voltage collapse in electric power systems , 1995 .

[13]  D. Hill,et al.  Fast calculation of a voltage stability index , 1992 .

[14]  J. Abbott An e cient algorithm for the determination of certain bifurcation points , 1978 .