MODAL ANALYSIS FOR VOLTAGE STABILITY : Application at Base Case and Point of Collapse

Voltage stability has become an important issue to many power systems around the world, the large Brazilian interconnected system being no exception. There is a great interest in the development and application of computational tools and methodologies to voltage stability problems detected in power system planning and operation studies [1-31]. Various methodologies have been proposed in the last decade, together with system models to properly simulate the voltage stability phenomena.

[1]  M. G. Lauby,et al.  A comprehensive computer program package for small signal stability analysis of power systems , 1990 .

[2]  P. Kundur,et al.  Voltage stability analysis using static and dynamic approaches , 1993 .

[3]  I. Dobson,et al.  New methods for computing a closest saddle node bifurcation and worst case load power margin for voltage collapse , 1993 .

[4]  F. L. Pagola,et al.  On Sensitivities, Residues and Participations. Applications to Oscillatory Stability Analysis and Control , 1989, IEEE Power Engineering Review.

[5]  T. Smed,et al.  Feasible eigenvalue sensitivity for large power systems , 1993 .

[6]  H. Yee,et al.  An efficient improvement of the AESOPS algorithm for power system eigenvalue calculation , 1994 .

[7]  J. Deuse,et al.  Dynamic simulation of voltage collapses , 1993 .

[8]  N. Martins Efficient Eigenvalue and Frequency Response Methods Applied to Power System Small-Signal Stability Studies , 1986, IEEE Transactions on Power Systems.

[9]  Djalma M. Falcao,et al.  Fast small-signal stability assessment using parallel processing , 1994 .

[10]  M.A. Pai,et al.  An explanation and generalization of the AESOPS and peals algorithms , 1991, IEEE Power Engineering Review.

[11]  N. Martins,et al.  Determination of suitable locations for power system stabilizers and static VAr compensators for damping electromechanical oscillations in large scale power systems , 1989, Conference Papers Power Industry Computer Application Conference.

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

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

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

[15]  D. Hill,et al.  Voltage stability indices for stressed power systems , 1993 .

[16]  M. K. Pal Voltage stability conditions considering load characteristics , 1992 .

[17]  F. Alvarado,et al.  Computation of closest bifurcations in power systems , 1994 .

[18]  Wilsun Xu,et al.  Voltage stability analysis using generic dynamic load models , 1994 .

[19]  Jack J. Dongarra,et al.  Matrix Eigensystem Routines - EISPACK Guide, Second Edition , 1976, Lecture Notes in Computer Science.

[20]  R. Criado,et al.  Secondary voltage control based on a robust multivariable PI controller , 1994 .

[21]  N. Martins,et al.  Efficient methods for finding transfer function zeros of power systems , 1991, [Proceedings] Conference Papers 1991 Power Industry Computer Application Conference.

[22]  David J. Hill,et al.  Nonlinear dynamic load models with recovery for voltage stability studies , 1993 .

[23]  P. Kundur,et al.  Practical considerations in voltage stability assessment , 1993 .

[24]  V. A. Venikov Transient Phenomena in Electrical Power Systems , 1964 .

[25]  F. L. Alvarado,et al.  Bifurcations in nonlinear systems-computational issues , 1990, IEEE International Symposium on Circuits and Systems.

[26]  Fernando L. Alvarado,et al.  SVC placement using critical modes of voltage instability , 1993 .

[27]  José Ignacio,et al.  Selective Modal Analysis for Electric Power Systems , 1980 .

[28]  Alan Jennings,et al.  Matrix Computation for Engineers and Scientists , 1977 .

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