An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties

作者: Wei Gu , Lizi Luo , Tao Ding , Xiaoli Meng , Wanxing Sheng

DOI: 10.1016/J.IJEPES.2014.01.025

关键词: Power flowDistribution systemAffine arithmeticCarry (arithmetic)AlgorithmMathematicsRadial distributionUpper and lower boundsInterval arithmetic

摘要: Abstract This letter presents an algorithm for radial distribution system power flow in the presence of uncertainties. To reduce overestimation bounds yielded by correlation variables interval arithmetic (IA), affine (AA) is applied this study to carry out tests flow. Compared with based on IA, proposed narrows gap between upper and lower solution. IEEE 33-bus 69-bus test systems are used demonstrate effectiveness algorithm.

参考文章(9)
Antonios G. Marinopoulos, Minas C. Alexiadis, Petros S. Dokopoulos, Energy losses in a distribution line with distributed generation based on stochastic power flow Electric Power Systems Research. ,vol. 81, pp. 1986- 1994 ,(2011) , 10.1016/J.EPSR.2011.06.006
L.E.S. Pereira, V.M. da Costa, A.L.S. Rosa, Interval arithmetic in current injection power flow analysis International Journal of Electrical Power & Energy Systems. ,vol. 43, pp. 1106- 1113 ,(2012) , 10.1016/J.IJEPES.2012.05.034
Sachin Singh, T. Ghose, Improved radial load flow method International Journal of Electrical Power & Energy Systems. ,vol. 44, pp. 721- 727 ,(2013) , 10.1016/J.IJEPES.2012.08.005
Biswarup Das, Radial distribution system power flow using interval arithmetic International Journal of Electrical Power & Energy Systems. ,vol. 24, pp. 827- 836 ,(2002) , 10.1016/S0142-0615(01)00092-8
Alfredo Vaccaro, Claudio A. Canizares, Kankar Bhattacharya, A Range Arithmetic-Based Optimization Model for Power Flow Analysis Under Interval Uncertainty IEEE Transactions on Power Systems. ,vol. 28, pp. 1179- 1186 ,(2013) , 10.1109/TPWRS.2012.2214405
Miguel Heleno, Jean Sumaili, José Meirinhos, Mauro A. da Rosa, A linearized approach to the Symmetric Fuzzy Power Flow for the application to real systems International Journal of Electrical Power & Energy Systems. ,vol. 54, pp. 610- 618 ,(2014) , 10.1016/J.IJEPES.2013.08.007
M. Mohammadi, A. Shayegani, H. Adaminejad, A new approach of point estimate method for probabilistic load flow International Journal of Electrical Power & Energy Systems. ,vol. 51, pp. 54- 60 ,(2013) , 10.1016/J.IJEPES.2013.02.019
Luiz Henrique de Figueiredo, Jorge Stolfi, Affine Arithmetic: Concepts and Applications Numerical Algorithms. ,vol. 37, pp. 147- 158 ,(2004) , 10.1023/B:NUMA.0000049462.70970.B6
Alfredo Vaccaro, Claudio A. Canizares, Domenico Villacci, An Affine Arithmetic-Based Methodology for Reliable Power Flow Analysis in the Presence of Data Uncertainty IEEE Transactions on Power Systems. ,vol. 25, pp. 624- 632 ,(2010) , 10.1109/TPWRS.2009.2032774