A new approach of point estimate method for probabilistic load flow

Abstract This paper analyses the power system load flow using new point estimate method considering uncertainties, which may happen in the power system. These uncertainties may arise from different sources, such as load demands or generation unit outages. A novel probabilistic load flow based on new point estimate method has been proposed in this paper. The proposed method surpasses the previous point estimate methods when generalizing the approach to multiple random variables with various probabilistic distributions. Addressing the results of Monte Carlo simulation method as reference, the new point estimate method is applied to IEEE 14-bus test system and the advantages of this new method have been presented. The results reveal that the proposed point estimate method has less computational burden and time comparing than Monte Carlo simulation method while the accuracy remains at a high level.

[1]  R.N. Allan,et al.  Probabilistic Load Flow Considering Dependence Between Input Nodal Powers , 1984, IEEE Transactions on Power Apparatus and Systems.

[2]  Zou Bin,et al.  A Three-point Estimate Method for Solving Probabilistic Power Flow Problems with Correlated Random Variables , 2012 .

[3]  F. Jurado,et al.  Probabilistic load flow for photovoltaic distributed generation using the Cornish–Fisher expansion , 2012 .

[4]  Gary W. Chang,et al.  Power System Analysis , 1994 .

[5]  Oluwabukola A. Oke,et al.  A new probabilistic load flow method for systems with wind penetration , 2011, 2011 IEEE Trondheim PowerTech.

[6]  Ying Wang,et al.  Improved probabilistic point estimation schemes for uncertainty analysis , 2009 .

[7]  G. Carpinelli,et al.  Point estimate schemes for probabilistic three-phase load flow , 2010 .

[8]  M.G. Da Silva,et al.  Probabilistic Assessment of Available Transfer Capability Based on Monte Carlo Method With Sequential Simulation , 2007, IEEE Transactions on Power Systems.

[9]  Ronald N. Allan,et al.  Probabilistic techniques in AC load flow analysis , 1977 .

[10]  Zhou Xiaoxin,et al.  Probabilistic Power Flow Calculation Using Sigma-Point Transform Algorithm , 2006, 2006 International Conference on Power System Technology.

[11]  H. Hong An efficient point estimate method for probabilistic analysis , 1998 .

[12]  K. D. Srivastava,et al.  The probabilistic approach to substation bus short-circuit design , 1981 .

[13]  J. Aguado,et al.  Cumulant-based probabilistic optimal power flow (P-OPF) with Gaussian and gamma distributions , 2005, IEEE Transactions on Power Systems.

[14]  Reuven Y. Rubinstein,et al.  Simulation and the Monte Carlo method , 1981, Wiley series in probability and mathematical statistics.

[15]  Julio Usaola,et al.  Probabilistic load flow with correlated wind power injections , 2010 .

[16]  Roy Billinton,et al.  Reliability Evaluation of Engineering Systems , 1983 .

[17]  Chun-Lien Su,et al.  Probabilistic load-flow computation using point estimate method , 2005 .

[18]  J. Morales,et al.  Point Estimate Schemes to Solve the Probabilistic Power Flow , 2007, IEEE Transactions on Power Systems.

[19]  Yan-Gang Zhao,et al.  New Point Estimates for Probability Moments , 2000 .

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

[21]  G. Carpinelli,et al.  Point estimate schemes for probabilistic load flow analysis of unbalanced electrical distribution systems with wind farms , 2010, Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010.