Power Flow with Load Uncertainty

Authors

  • L.V. Barboza
  • G.P. Dimuro
  • R.H.S. Reiser

DOI:

https://doi.org/10.5540/tema.2004.05.01.0027

Abstract

This paper presents a methodology to solve load flow problems in which the load data are uncertain due to measurement errors. In order to deal with those uncertainties we apply techniques of Interval Mathematics. The algorithm uses the Interval Newton’s method to solve the nonlinear system of equations generated by the problem. The implementation was performed in theMatlabr environment using the Intlab toolbox. In order to assess the performance of the proposed algorithm, the method was applied to hypothetical electric systems. In this paper, we present results for a three-bus network.

References

[1] G. Alefeld and J. Herzberger, “Introduction to Interval Computations”, Academic Press, New York, 1983.

L.V. Barboza, “Power Flow”, in Class Notes, School of Engineering, Pelotas, 2002. (Available at http://atlas.ucpel.tche.br/lvb/cap3.PDF, in Portuguese)

L.G. Dias and M.E. El-Hawary, OPF Incorporating Load Models Maximizing Net Revenue, IEEE Trans. on Power Systems, 8, No. 1 (1993), 53-59.

A.F. Glimn and G.W. Stagg, Automatic Calculation of Load Flows, AIEE Trans. on Power Apparatus and Systems, 76, pt. III (1957), 817-828.

C.A. Gross, “Power System Analysis”, John Wiley, New York, 1986.

G.I. Hargreaves, “Interval Analysis in MATLAB”, Numerical Analysis Report no. 416, Manchester Centre for Computational Mathematics, 2002.

R.B. Kearfott and V.Kreinovich (eds.), “Applications of Interval Computations”, Kluwer, Boston, 1996.

R.E. Moore, “Methods and Applications of Interval Analysis”, SIAM, Philadelphia, 1979.

A. Neumaier, “Interval Methods for Systems of Equations”, Encyclopedia of Mathematics and its Applications 37, Cambridge University Press, 1990.

S.M. Rump, IntLab - Interval Laboratory, in “Developments in Reliable Computing” (T. Csendes, ed.), pp. 77-104, Kluwer, Boston, 1999.

G.W. Stagg and A.H. El-Abiad, “Computer Methods in Power System Analysis”, McGraw-Hill Kogakusha, Tokio, 1968.

J.E. Van Ness and J.H. Griffin, Elimination Methods for Load Flow Studies, AIEE Trans. on Power Apparatus and Systems, 80, pt. III (1961), 229-304.

Z.Wang and F.L. Alvarado, Interval Arithmetic in Power Flow Analysis, Trans. on Power Systems, 7, No. 3 (1992), 1341-1349.

J.B.Ward and H.W. Hale, Digital Computer Solution of Power-Flow Problems, AIEE Trans. on Power Apparatus and Systems, 75, pt. III (1956), 398-404.

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Published

2004-06-01

How to Cite

Barboza, L., Dimuro, G., & Reiser, R. (2004). Power Flow with Load Uncertainty. Trends in Computational and Applied Mathematics, 5(1), 27–36. https://doi.org/10.5540/tema.2004.05.01.0027

Issue

Vol. 5 No. 1 (2004)

Section

Original Article

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