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

Siyu Tao, Qingshan Xu, Andrés Feijóo, Stefanie Kuenzel and Neeraj Bokde
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Siyu Tao: School of Electrical Engineering, Southeast University, Nanjing 210096, China
Qingshan Xu: School of Electrical Engineering, Southeast University, Nanjing 210096, China
Andrés Feijóo: Departamento de Enxeñería Eléctrica, Universidade de Vigo, Campus de Lagoas, 36310 Vigo, Spain
Stefanie Kuenzel: Department of Electronic Engineering, Royal Holloway, University of London, Egham TW20 0EX, UK
Neeraj Bokde: Department of Electronics and Communication Engineering, Visvesvaraya National Institute of Technology, Nagpur 440010, India

Energies, 2019, vol. 12, issue 13, 1-14

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 the wake effects and terrain features are taken into consideration. A three-parameter (3-P) logistic function is used to represent the wind turbine (WT) power curve. Wake effects are simulated by means of the Jensen’s wake model. Wind shear effect is used to simulate the influence of the terrain on the WTs located at 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 four types of terrain slopes are analyzed. Finally, simulations applying the Monte Carlo method on different sample sizes are provided to validate the proposed model. The simulation results indicate that this approximated formulation is a possible substitute for WF output power estimation, especially for the scenario where WTs are built on a terrain with gradient.

Keywords: logistic function; Monte Carlo method; power curve; probability density function; terrain gradient; wake effect; Weibull distribution (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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