Probabilistic load flow with wind production uncertainty using cumulants and Cornish–Fisher expansion

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Modeling of Plug-in Hybrid Electric Vehicle Charging Demand in Probabilistic Power Flow Calculations (2012, methodology): “Up to 5-order Cornish-Fisher expansion [34] is employed to plot the CDF curves obtained by PPF, which is implemented with a recursive form of high performance [35], because Cornish-Fisher expansion performs better than the conventional Gram-Charlier expansion, especially when asymmetric distribution”
Dependent Discrete Convolution Based Probabilistic Load Flow for the Active Distribution System (2017, methodology): “By linearizing the AC power flow equations around the expected operation status, the probability distribution of a linear combination of multiple random variables can be calculated using convolution [10] and the cumulant method [11].”
Very‐short‐term probabilistic forecasting of wind power with generalized logit–normal distributions (2012, methodology): “Recently, some models for this relationship have been proposed (Pinson and Madsen, 2009; Bludszuweit et al., 2008; Usaola, 2009).”
Probabilistic load flow in systems with wind generation (2009, methodology): “However, for non-Gaussian PDF, Gram-Charlier A expansion series have serious convergence problems, and the Cornish-Fisher expansion gives better results without more computational burden [18].”