Probabilistic Optimal Power Flow in Electricity Markets Based on a Two-Point Estimate Method

By Gregor Verbic, Claudio A. Cañizares. IEEE Transactions on Power Systems, 2006

334 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Safety, Risk, Reliability and Quality

View Paper: https://www.semanticscholar.org/paper/6f5589275daf5090252ba7393a50bb9bebea88c7

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Citations in the corpus

Probabilistic load flow in systems with wind generation (2009, methodology): “This method has been also applied to the probabilistic optimal power flow problem [11].”
Solving Probabilistic Optimal Power Flow Problem Using Quasi Monte Carlo Method and Ninth-Order Polynomial Normal Transformation (2014, methodology): “While the residual error introduced byHong’s PEM is still considerable for a strong nonlinear function, the resultant high-order statistical moments are of high error even for PPF [11], [12].”
A Novel Affine Arithmetic Method to Solve Optimal Power Flow Problems With Uncertainties (2014, methodology): “Another method to solve the P-OPF problem based on the two-point estimate method is proposed in [12] which alleviates the calculation of derivatives and thus improves the computational efficiency of the solution process.”
Chance Constrained Programming for Optimal Power Flow Under Uncertainty (2011, methodology): “two-point estimate method for POPF was proposed in [6] to ob-”
An Affine Arithmetic-Based Methodology for Reliable Power Flow Analysis in the Presence of Data Uncertainty (2010, background): “One main source of uncertainty nowadays is the variable nature of generation patterns due to competition [3], as well as weather and location which significantly affect wind- and solarpower sources [22].”
A Range Arithmetic-Based Optimization Model for Power Flow Analysis Under Interval Uncertainty (2013, background): “The difficulties arising from the prediction and modeling of electricity market behavior, governed mainly by somewhat unpredictable economic dynamics, represents another source of uncertainty in power flow analysis [2].”
Probabilistic Optimal Power Flow Considering Correlations of Wind Speeds Following Different Distributions (2014, methodology): “Probabilistic optimal power flow (POPF) is an effective tool in power system operation and planning considering stochastic uncertain factors [6]–[16].”
Analysis of Probabilistic Optimal Power Flow Taking Account of the Variation of Load Power (2008, methodology): “926437 the impact of participants’ behavior on electricity prices [1].”
A Novel Probabilistic Optimal Power Flow Model With Uncertain Wind Power Generation Described by Customized Gaussian Mixture Model (2016, neutral): “problem, and several typical approaches to compute P-OPF include two-point estimation [6], first-order second moment method [7], [8], cumulant method [9], [10], and so on.”
Point Estimate Schemes to Solve the Probabilistic Power Flow (2007, methodology): “This effect is also pointed out by the two previous works [27], [ 28 ] applying point estimate methods to power systems reported in Section I.”