Fast computation of voltage stability security margins using nonlinear programming techniques

This paper presents a simple, fast, and efficient method for determining the maximum loading point (MLP) and the voltage stability security margin of electric power systems. The proposed method is based on nonlinear programming techniques. The MLP is accurately obtained after a few load change steps. The computational procedure involves two kinds of load changes. Initially, load increases toward the MLP are defined for minimizing an objective function based on sensitivities. In case an overestimated load increase drives the system outside the feasible (stable) operating region, another very simple optimization-based procedure aimed to minimize the power mismatches determines the load adjustment (curtailment) to pull the system back onto the feasibility boundary. Simulation results for small test to large realistic systems are shown to validate the proposed method.

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

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

[3]  C. Castro,et al.  A critical evaluation of step size optimization based load flow methods , 2000 .

[4]  T. Overbye.  A power flow measure for unsolvable cases , 1994 .

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

[6]  Carlos A. Castro,et al.  Fast method for computing power system security margins to voltage collapse , 2004 .

[7]  Olav Bjarte Fosso,et al.  A method for calculation of margins to voltage instability applied on the Norwegian system for maintaining required security level , 1993 .

[8]  T. Van Cutsem,et al.  Voltage instability: phenomena, countermeasures, and analysis methods , 2000, Proc. IEEE.

[9]  T. Carlsen,et al.  Voltage stability condition in a power transmission system calculated by sensitivity methods , 1990 .

[10]  Carson W. Taylor,et al.  Definition and Classification of Power System Stability , 2004 .

[11]  C. Castro,et al.  Parameterized fast decoupled load flow for tracing power systems bifurcation diagrams , 1999, 1999 IEEE Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.99CH36364).

[12]  T. Van Cutsem,et al.  Determination of secure operating limits with respect to voltage collapse , 1999 .

[13]  Yasuo Tamura,et al.  A Load Flow Calculation Method for Ill-Conditioned Power Systems , 1981, IEEE Transactions on Power Apparatus and Systems.

[14]  G. Lambert-Torres,et al.  Increasing the loadability of power systems through optimal-local-control actions , 2004, IEEE Transactions on Power Systems.

[15]  Ching-Tsai Pan,et al.  Fast calculation of a voltage stability index of power systems , 1997 .

[16]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[17]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[18]  P. Kundur,et al.  Power system stability and control , 1994 .

[19]  Venkataramana Ajjarapu,et al.  An optimal reactive power planning strategy against voltage collapse , 1994 .

[20]  G. Irisarri,et al.  Maximum loadability of power systems using interior point nonlinear optimization method , 1997 .

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

[22]  R. Fischl,et al.  Power system security assessment , 1984, IEEE Conference on Decision and Control.