A Modified Reynolds-Averaged Navier–Stokes-Based Wind Turbine Wake Model Considering Correction Modules

Yuan Li, Zengjin Xu, Zuoxia Xing, Bowen Zhou, Haoqian Cui, Bowen Liu and Bo Hu
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Yuan Li: School of Science, Shenyang University of Technology, Shenyang 110870, China
Zengjin Xu: School of Chemical Equipment, Shenyang University of Technology, Shenyang 110870, China
Zuoxia Xing: School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, China
Bowen Zhou: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
Haoqian Cui: Fuxin Electric Power Supply Company, State Grid Liaoning Electric Power Co. Ltd., Fuxin 123000, China
Bowen Liu: School of Science, Shenyang University of Technology, Shenyang 110870, China
Bo Hu: State Grid Liaoning Electric Power Co. Ltd., Shenyang 110004, China

Energies, 2020, vol. 13, issue 17, 1-19

Abstract: Increasing wind power generation has been introduced into power systems to meet the renewable energy targets in power generation. The output efficiency and output power stability are of great importance for wind turbines to be integrated into power systems. The wake effect influences the power generation efficiency and stability of wind turbines. However, few studies consider comprehensive corrections in an aerodynamic model and a turbulence model, which challenges the calculation accuracy of the velocity field and turbulence field in the wind turbine wake model, thus affecting wind power integration into power systems. To tackle this challenge, this paper proposes a modified Reynolds-averaged Navier–Stokes (MRANS)-based wind turbine wake model to simulate the wake effects. Our main aim is to add correction modules in a 3D aerodynamic model and a shear-stress transport (SST) k-ω turbulence model, which are converted into a volume source term and a Reynolds stress term for the MRANS-based wake model, respectively. A correction module including blade tip loss, hub loss, and attack angle deviation is considered in the 3D aerodynamic model, which is established by blade element momentum aerodynamic theory and an improved Cauchy fuzzy distribution. Meanwhile, another correction module, including a hold source term, regulating parameters and reducing the dissipation term, is added into the SST k - ω turbulence model. Furthermore, a structured hexahedron mesh with variable size is developed to significantly improve computational efficiency and make results smoother. Simulation results of the velocity field and turbulent field with the proposed approach are consistent with the data of real wind turbines, which verifies the effectiveness of the proposed approach. The variation law of the expansion effect and the double-hump effect are also given.

Keywords: Reynolds-averaged Navier–Stokes method; wind turbine wake model; 3D aerodynamic model; turbulence model; correction modules (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: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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