An Efficient Geometric Parametrization Technique for the Continuation Power Flow through the Tangent Predictor

A. Bonini Neto, D.A. Alves

Abstract


This paper presents a new parameterization scheme to the continuation power flow that allows the complete tracing of P-V curves and the computation of the maximum loading point of power system, without ill-conditioning problems of the Jacobian matrix and without the exchange of parameter. The objective is to present the technique in a clear and didactic way.

References


[1] V. Ajjarapu, C. Christy, The continuation power flow: a tool for steady state voltage stability analysis, IEEE Trans. on Power Systems PS-7 (1992), 416-423.

D.A. Alves, L.C.P. da Silva, C.A. Castro, V.F. da Costa, Continuation load flow method parameterized by power losses, in “Proc. IEEE Power Engineering Society Winter Meeting”, pp. 1123-1128, 2000.

D.A. Alves, L.C.P. da Silva, C.A. Castro, V.F. da Costa, Parameterized fast decoupled power flow methods for obtaining the maximum loading point of power systems - part-I: mathematical modeling, Electric Power Systems Research, 69 (2004), 93-104.

C.A. Ca˜nizares, F.L. Alvarado, C.L. DeMarco, I. Dobson, W.F. Long, Point of collapse methods applied to ac/dc power systems, IEEE Trans. on Power Systems, PS-7 (1992), 673-683.

H.D. Chiang, A.J. Flueck, K.S. Shah, N. Balu, CPFLOW: a practical tool for tracing power systems steady-state stationary behaviour due to load and generation variations, IEEE Trans. on Power Systems, PS-10 (1995), 623-633.

K. Iba, H. Suzuki, M. Egawa, T. Watanabe, Calculation of critical loading condition with nose curve using homotopy continuation method, IEEE Trans. on Power Systems, PS-6 (1991), 585-593.

Y. Mansour, “Suggested Techniques for Voltage Stability Analysis”, IEEE Power Engineering Subcommittee Report, 93TH0620-5-PWR, 1993.

T.J. Overbye, R.P. Klump, Effective calculation of power systems low-voltage solutions, IEEE Trans. on Power Systems, PS-11 (1996), 75-82.

Reactive Power Reserve Work Group, “Final Report: Voltage Stability Criteria, Undervoltage Load Shedding Strategy, and Reactive Power Reserve Monitoring Methodology”, 1999.

R. Seydel, “From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis”, Springer - Verlag, New York, 2th edn., 1994.




DOI: https://doi.org/10.5540/tema.2008.09.02.0185

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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