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• W1450762493 startingPage "873" @default.
• W1450762493 abstract "Wind and solar power generators are commonly described by a system of stochastic ordinary differential equations (SODEs) where random input parameters represent uncertainty in wind and solar energy. The existing methods for SODEs are mostly limited to delta-correlated random parameters, while the uncertainties from renewable generation exhibit colored noises. Here we use the probability density function (PDF) method, together with a novel large-eddy-diffusivity (LED) closure, to derive a closed-form deterministic partial differential equation (PDE) for the joint PDF of the SODEs describing a power generator with correlated-in-time power input. The proposed LED accurately captures the effect of nonzero correlation time of the power input on systems described by a divergent stochastic drift velocity. The resulting PDE is solved numerically. The accuracy of the PDF method is verified by comparison with Monte Carlo simulations." @default.
• W1450762493 created "2016-06-24" @default.
• W1450762493 creator A5011371760 @default.
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• W1450762493 date "2015-01-01" @default.
• W1450762493 modified "2023-10-11" @default.
• W1450762493 title "Probabilistic Density Function Method for Stochastic ODEs of Power Systems with Uncertain Power Input" @default.
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• W1450762493 doi "https://doi.org/10.1137/130940050" @default.
• W1450762493 hasPublicationYear "2015" @default.
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