A Novel Probablistic Strategy for Modeling Photovoltaic Based Distributed Generators

This paper presents a novel algorithm for modeling photovoltaic based distributed generators for the purpose of optimal planning of distribution networks. The proposed algorithm utilizes sequential Monte Carlo method in order to accurately consider the stochastic nature of photovoltaic based distributed generators. The proposed algorithm is implemented in MATLAB environment and the results obtained are presented and discussed.

Authors:

• Engy A. Mohamed
• Yasser G. Hegazy

Keywords:

• Comulative distribution function
• distributed generation
• Monte Carlo.

References:

[1] F.J. Ruiz-Rodriguez, J.C. Hernandez and F. Jurado “Probabilistic load
flow for radial distribution networks with photovoltaic generators” IET
Renew. Power Gener., Vol. 6, no. 2, pp. 110–121, 2012.
[2] Y.M. Atwa, E.F El saadany, M.A. salama and R. seethapathy, “Optimal
Renewable Resources Mix for Distribution System Energy Loss
Minimization” IEEE Trans. Power Syst., vol. 25, no. 1, pp. 360- 370,
Feb. 2010.
[3] A. Soroudi, M. Aien, and M. Ehsan “A Probabilistic Modeling of
Photovoltaic Modules and Wind Power Generation Impact On
Distribution Network”, IEEE system journal, vol. 6, no. 2, pp. 254-259,
JUN. 2012.
[4] Radwa Sayed, Y. G. Hegazy, and M. A. Mostafa “Modeling of
Photovoltaic Based Power Stations for Reliability Studies Using Markov
Chains” International Conference on Renewable Energy Research and
Applications, Madrid, Spain, 20-23 October 2013.
[5] G. Eason, B. Noble, and I.N. Sneddon, “On certain integrals of
Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247, pp. 529-551, April 1955.
(references)
[6] Z. Ren, W. Yan, , X. Zhao, , W. Li, and Juan Yu, “Chronological
Probability Model of Photovoltaic Generation” IEEE Trans. Power
Syst., vol. 29,no.3, pp. 1077-1088, May. 2014.
[7] F. Attivissimo, A. Di Nisio, M. Savino, and M. Spadavecchia
“Uncertainaity Analysis in Photovoltaic Cell Parameter Estimation”
IEEE Trans. On Instr. And measure., vol. 61, no. 5, pp.1334-1342, May.
2012.
[8] A. Y. Abdelaziz, Y. G. Hegazy, W. El-Khattam and M. M. Othman,
‘Optimal Allocation of Stochastically Dependent Renewable Energy
Based Distributed Generators in Unbalanced Distribution Networks’,
Elec. Power. Syst. Res, Vol. 119, pp. 34-44, Feb. 2015.
[9] Qian Zhao, Peng Wang, Lalit Goel, Yi Ding, Evaluation of nodal
reliability risk ina deregulated power system with photovoltaic power
penetration, IET Gener.Transm. Distrib. Vol. 3, pp.421–430, 2014.
[10] Pierluigi Siano, and Geev Mokryani, “Probabilistic Assessment of
Impact of Wind Energy Integration Into Distribution Network” , IEEE
Trans. Power Syst. , vol. 28,no. 4, pp. 4209-4217, Nov. 2013.