Probabilistic Power Flow Studies for Transmission Systems With Photovoltaic Generation Using Cumulants

By M. Fan, Vijay Vittal, Gerald Thomas Heydt, R. Ayyanar. IEEE Transactions on Power Systems, 2012

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Chance-Constrained Economic Dispatch With Non-Gaussian Correlated Wind Power Uncertainty (2017, methodology): “, Monte Carlo Simulation (MCS) [4], point estimation [5], and cumulant-based series expansion [6], these methods need improvement in efficiency and accuracy [7].”
Parzen Window Density Estimator-Based Probabilistic Power Flow With Correlated Uncertainties (2016, methodology): “Probabilistic power flow (PPF) characterizes the uncertainties by using probability distributions [12], [13].”
Chronological Probability Model of Photovoltaic Generation (2014, background): “In [10], the PV power is viewed as a function of the irradiance and cell operating temperature that are assumed to follow the Beta andNormal probability distributions, respectively.”
A Novel Probabilistic Optimal Power Flow Model With Uncertain Wind Power Generation Described by Customized Gaussian Mixture Model (2016, neutral): “Indeed, this linearization method for probabilistic analysis has been adopted frequently in extant literatures [25], [26].”
Basis-Adaptive Sparse Polynomial Chaos Expansion for Probabilistic Power Flow (2017, neutral): “transform method, cumulant method and its extended versions are the most commonly used ones [11], [12].”