6533b824fe1ef96bd127fffa
RESEARCH PRODUCT
Fractional Spectral Moments for Digital Simulation of Multivariate Wind Velocity Fields
Giulio CottoneGiulio CottoneMario Di Paolasubject
FOS: Computer and information sciencesMultivariate wind velocity fieldMultivariate statisticsStatistical Mechanics (cond-mat.stat-mech)Fractional spectral momentRenewable Energy Sustainability and the EnvironmentMechanical EngineeringMathematical analysisFOS: Physical sciencesGeneralized Taylor formWhite noiseFunction (mathematics)Digital simulation of Gaussian stationary processeFractional calculuStatistics - ComputationTransfer functionWind speedFractional calculusSuperposition principleSettore ICAR/08 - Scienza Delle CostruzioniComputation (stat.CO)Condensed Matter - Statistical MechanicsLinear filterCivil and Structural EngineeringMathematicsdescription
In this paper, a method for the digital simulation of wind velocity fields by Fractional Spectral Moment function is proposed. It is shown that by constructing a digital filter whose coefficients are the fractional spectral moments, it is possible to simulate samples of the target process as superposition of Riesz fractional derivatives of a Gaussian white noise processes. The key of this simulation technique is the generalized Taylor expansion proposed by the authors. The method is extended to multivariate processes and practical issues on the implementation of the method are reported.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-12-16 |