Integrated Wind Farm Power Curve and Power Curve Distribution Function Considering the Wake Effect and Terrain Gradient

Siyu Tao; Qingshan Xu; Andres Feijoo; Stefanie Kuenzel; Neeraj Bokde

doi:10.3390/en12132482

Integrated Wind Farm Power Curve and Power Curve Distribution Function Considering the Wake Effect and Terrain Gradient

Siyu Tao, Qingshan Xu, Andres Feijoo, Stefanie Kuenzel, Neeraj Bokde

Research output: Contribution to journal › Article › peer-review

Abstract

This work presents a computational method for the simulation of wind speeds and for the calculation of the statistical distributions of wind farm (WF) power curves, where wake effects and terrain features are taken into consideration. A three-parameter (3-P) Logistic function is used to represent wind turbine (WT) power curve. Wake effects are simulated by means of Jensen’s wake model. Wind shear effect is used to simulate the influence of the terrain for WTs located on different altitudes. An analytical method is employed for deriving the probability density function (PDF) of the WF power output, based on the Weibull distribution for describing the cumulative wind speed behavior. The WF power curves for the cases of four types of terrain slopes are analyzed. Finally, simulations with the help of the Monte Carlo method with different sample sizes are provided to validate the proposed model. The simulation results indicate that this approximated formulation can be a kind of substitute for WF output power estimation especially for the scenario where WTs are built on a terrain with gradient.

Original language	English
Article number	2482
Pages (from-to)	1-14
Number of pages	14
Journal	Energies
Volume	12
Issue number	13
DOIs	https://doi.org/10.3390/en12132482
Publication status	Published - 27 Jun 2019

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10.3390/en12132482Licence: CC BY

Cite this

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title = "Integrated Wind Farm Power Curve and Power Curve Distribution Function Considering the Wake Effect and Terrain Gradient",

abstract = "This work presents a computational method for the simulation of wind speeds and for the calculation of the statistical distributions of wind farm (WF) power curves, where wake effects and terrain features are taken into consideration. A three-parameter (3-P) Logistic function is used to represent wind turbine (WT) power curve. Wake effects are simulated by means of Jensen{\textquoteright}s wake model. Wind shear effect is used to simulate the influence of the terrain for WTs located on different altitudes. An analytical method is employed for deriving the probability density function (PDF) of the WF power output, based on the Weibull distribution for describing the cumulative wind speed behavior. The WF power curves for the cases of four types of terrain slopes are analyzed. Finally, simulations with the help of the Monte Carlo method with different sample sizes are provided to validate the proposed model. The simulation results indicate that this approximated formulation can be a kind of substitute for WF output power estimation especially for the scenario where WTs are built on a terrain with gradient. ",

author = "Siyu Tao and Qingshan Xu and Andres Feijoo and Stefanie Kuenzel and Neeraj Bokde",

year = "2019",

month = jun,

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T1 - Integrated Wind Farm Power Curve and Power Curve Distribution Function Considering the Wake Effect and Terrain Gradient

AU - Tao, Siyu

AU - Xu, Qingshan

AU - Feijoo, Andres

AU - Kuenzel, Stefanie

AU - Bokde, Neeraj

PY - 2019/6/27

Y1 - 2019/6/27

N2 - This work presents a computational method for the simulation of wind speeds and for the calculation of the statistical distributions of wind farm (WF) power curves, where wake effects and terrain features are taken into consideration. A three-parameter (3-P) Logistic function is used to represent wind turbine (WT) power curve. Wake effects are simulated by means of Jensen’s wake model. Wind shear effect is used to simulate the influence of the terrain for WTs located on different altitudes. An analytical method is employed for deriving the probability density function (PDF) of the WF power output, based on the Weibull distribution for describing the cumulative wind speed behavior. The WF power curves for the cases of four types of terrain slopes are analyzed. Finally, simulations with the help of the Monte Carlo method with different sample sizes are provided to validate the proposed model. The simulation results indicate that this approximated formulation can be a kind of substitute for WF output power estimation especially for the scenario where WTs are built on a terrain with gradient.

AB - This work presents a computational method for the simulation of wind speeds and for the calculation of the statistical distributions of wind farm (WF) power curves, where wake effects and terrain features are taken into consideration. A three-parameter (3-P) Logistic function is used to represent wind turbine (WT) power curve. Wake effects are simulated by means of Jensen’s wake model. Wind shear effect is used to simulate the influence of the terrain for WTs located on different altitudes. An analytical method is employed for deriving the probability density function (PDF) of the WF power output, based on the Weibull distribution for describing the cumulative wind speed behavior. The WF power curves for the cases of four types of terrain slopes are analyzed. Finally, simulations with the help of the Monte Carlo method with different sample sizes are provided to validate the proposed model. The simulation results indicate that this approximated formulation can be a kind of substitute for WF output power estimation especially for the scenario where WTs are built on a terrain with gradient.

U2 - 10.3390/en12132482

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