Application of probabilistic three-phase load flow for electrical distribution systems with photovoltaic generators

This paper shows how to solve a probabilistic three phase load flow in radial distribution networks with photovoltaic distributed generation (PDG). Voltage regulation is one of the principal problems to be addressed. This research study applies a three phase power flow combined with the Monte Carlo method to solve this problem. Load and PDG are modeled as random variables. A case study is presented. The results obtained show the decrease of the unbalance factor due to the presence of PDG.

[1]  Francisco Jurado,et al.  Binary Particle Swarm Optimization for Optimization of Photovoltaic Generators in Radial Distribution Systems Using Probabilistic Load Flow , 2011 .

[2]  R.N. Allan,et al.  Evaluation Methods and Accuracy in Probabilistic Load Flow Solutions , 1981, IEEE Transactions on Power Apparatus and Systems.

[3]  J. Jardini,et al.  Daily load profiles for residential, commercial and industrial low voltage consumers , 2000 .

[4]  Francisco Jurado,et al.  Optimal allocation and sizing for profitability and voltage enhancement of PV systems on feeders , 2007 .

[5]  F. Pilo,et al.  A multiobjective evolutionary algorithm for the sizing and siting of distributed generation , 2005, IEEE Transactions on Power Systems.

[6]  William Kersting,et al.  Distribution System Modeling and Analysis , 2001, Electric Power Generation, Transmission, and Distribution: The Electric Power Engineering Handbook.

[7]  Guido Carpinelli,et al.  Probabilistic three-phase load flow , 1999 .

[8]  W. H. Kersting Radial distribution test feeders , 1991 .

[9]  Barbara Borkowska,et al.  Probabilistic Load Flow , 1974 .

[10]  Yasuhiro Hayashi,et al.  Application of tabu search to optimal placement of distributed generators , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

[11]  Guido Carpinelli,et al.  Probabilistic three-phase load flow for unbalanced electrical distribution systems with wind farms , 2007 .

[12]  Ron Allan,et al.  Probabilistic load flow considering network outages , 1985 .

[13]  Ulas Eminoglu,et al.  Distribution Systems Forward/Backward Sweep-based Power Flow Algorithms: A Review and Comparison Study , 2008 .

[14]  George J. Anders,et al.  Probability Concepts in Electric Power Systems , 1990 .

[15]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[16]  Bruno O. Shubert,et al.  Random variables and stochastic processes , 1979 .

[17]  K.G.T. Hollands,et al.  A probability density function for the diffuse fraction, with applications , 1987 .

[18]  Mariano Giuseppe Ippolito,et al.  A new backward/forward method for solving radial distribution networks with PV nodes , 2008 .

[19]  J. Faiz,et al.  Precise derating of three-phase induction motors with unbalanced voltages , 2005, Fourtieth IAS Annual Meeting. Conference Record of the 2005 Industry Applications Conference, 2005..

[20]  Francisco Jurado,et al.  Probabilistic load flow for radial distribution networks with photovoltaic generators , 2011 .

[21]  George J. Cokkinides,et al.  A new probabilistic power flow analysis method , 1990 .

[22]  K. Hollands,et al.  A probability density function for the clearness index, with applications , 1983 .

[23]  I. Miller Probability, Random Variables, and Stochastic Processes , 1966 .

[24]  D. Shirmohammadi,et al.  A three-phase power flow method for real-time distribution system analysis , 1995 .

[25]  Ronald N. Allan,et al.  Probabilistic analysis of power flows , 1974 .

[26]  Ronald N. Allan,et al.  Probabilistic load flow using multilinearisations , 1981 .

[27]  Xiao-Ping Zhang,et al.  Asymmetrical three-phase load-flow study based on symmetrical component theory , 1994 .

[28]  W. H. Kersting,et al.  Radial distribution test feeders , 1991, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).