Point of collapse and continuation methods for large AC/DC systems

The implementation of both point of collapse (PoC) methods and continuation methods for the computation of voltage collapse points (saddle-node bifurcations) in large AC/DC power systems is described. The performance of these methods is compared for real systems of up to 2158 buses. Computational details of the implementation of the PoC and continuation methods are detailed, and the unique problems encountered due to the presence of high-voltage direct-current (HVDC) transmission, area interchange power control, regulating transformers, and voltage and reactive power limits are discussed. The characteristics of a robust PoC power flow program are presented, and its application to detection and solution of voltage stability problems is demonstrated. >

[1]  Samuel D. Conte,et al.  Elementary Numerical Analysis: An Algorithmic Approach , 1975 .

[2]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[3]  B. J. Harker,et al.  Computer Modelling of Electrical Power Systems , 1983 .

[4]  R. Seydel From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis , 1988 .

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

[6]  G. Andersson,et al.  Analysis of HVDC converters connected to weak AC systems , 1990 .

[7]  Fernando L. Alvarado,et al.  Manipulation and Visualization of Sparse Matrices , 1990, INFORMS J. Comput..

[8]  M. Pai,et al.  Power system steady-state stability and the load-flow Jacobian , 1990 .

[9]  T.V. Cutsem,et al.  A method to compute reactive power margins with respect to v , 1991, IEEE Power Engineering Review.

[10]  T. Cutsem A method to compute reactive power margins with respect to v , 1991, IEEE Power Engineering Review.

[11]  V. Ajjarapu Identification of steady-state voltage stability in power systems , 1991 .

[12]  Yu Hen Hu,et al.  A direct method for computing a closest saddle node bifurcation in the load power parameter space of an electric power system , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[13]  C. Cañizares VOLTAGE COLLAPSE AND TRANSIENT ENERGY FUNCTION ANALYSES OF AC/DC SYSTEMS , 1991 .

[14]  K. Iba,et al.  Calculation of critical loading condition with nose curve using homotopy continuation method , 1991 .

[15]  Venkataramana Ajjarapu,et al.  The continuation power flow: a tool for steady state voltage stability analysis , 1991 .

[16]  I. Dobson Observations on the geometry of saddle node bifurcation and voltage collapse in electrical power systems , 1992 .

[17]  F. Alvarado,et al.  Point of collapse methods applied to AC/DC power systems , 1992 .

[18]  L. Lu,et al.  Computing an optimum direction in control space to avoid stable node bifurcation and voltage collapse in electric power systems , 1992 .

[19]  M. Szechtman,et al.  Transient AC voltage related phenomena for HVDC schemes connected to weak AC systems , 1992 .

[20]  Ian Dobson,et al.  Voltage collapse precipitated by the immediate change in stability when generator reactive power limits are encountered , 1992 .

[21]  Peter W. Sauer,et al.  Dynamic aspects of voltage/power characteristics (multimachine power systems) , 1992 .

[22]  B. Gao,et al.  Voltage Stability Evaluation Using Modal Analysis , 1992, IEEE Power Engineering Review.

[23]  I. Dobson,et al.  Observations on the Geometry of Saddle Node , 2022 .