基于高阶高斯函数的风力机三维尾流速度模型的研究与验证

魏宏; 赵振宙; 刘一格; 魏赏赏; 刘惠文; 刘岩; 罗乔

doi:10.13334/j.0258-8013.pcsee.240116

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基于高阶高斯函数的风力机三维尾流速度模型的研究与验证

可再生能源与储能 | 更新时间：2026-02-05

- 基于高阶高斯函数的风力机三维尾流速度模型的研究与验证
- Research and Verification of Three-dimensional Wake Velocity Model for Wind Turbine Based on High-order Gaussian Function
- 中国电机工程学报 2025年45卷第13期页码：5099-5105
- 作者机构：
  
  1. 河海大学电气与动力工程学院, 江苏省南京市 211100
  2. 南京工业职业技术大学江苏风力发电工程技术中心, 江苏省南京市 210023
- 作者简介：
  
  [ "魏宏(2000)，男，硕士研究生，主要研究方向为风力机尾流，1326272324@qq.com" ]
  赵振宙(1982)，男，教授、博导，主要研究方向为空气动力学、尾流控制等，joephy@163.com
- 基金信息：
  
  国家自然科学基金项目(52376179);国家自然科学基金项目(52106239);江苏省风力发电工程技术中心开放基金(ZK22-03-01)
- DOI：10.13334/j.0258-8013.pcsee.240116
  中图分类号： TK83
- 收稿：2024-01-16，
  
  网络首发：2024-03-23，
  
  纸质出版：2025-07-05
- 稿件说明：
移动端阅览
魏宏, 赵振宙, 刘一格, 等. 基于高阶高斯函数的风力机三维尾流速度模型的研究与验证[J]. 中国电机工程学报, 2025,45(13):5099-5105.

Hong WEI, Zhenzhou ZHAO, Yige LIU, et al. Research and Verification of Three-dimensional Wake Velocity Model for Wind Turbine Based on High-order Gaussian Function[J]. Proceedings of the CSEE, 2025, 45(13): 5099-5105.
魏宏, 赵振宙, 刘一格, 等. 基于高阶高斯函数的风力机三维尾流速度模型的研究与验证[J]. 中国电机工程学报, 2025,45(13):5099-5105. DOI： 10.13334/j.0258-8013.pcsee.240116.

Hong WEI, Zhenzhou ZHAO, Yige LIU, et al. Research and Verification of Three-dimensional Wake Velocity Model for Wind Turbine Based on High-order Gaussian Function[J]. Proceedings of the CSEE, 2025, 45(13): 5099-5105. DOI： 10.13334/j.0258-8013.pcsee.240116.

摘要

在自然条件下，风速在近尾流区尾流中心近似为顶帽形分布，在远尾流区的分布近似为高斯形。为了提高对尾流分布的预测精度，该文采用高阶高斯函数修正尾流速度分布，建立三维高阶高斯卷吸尾流模型。通过外场试验和风洞试验进行验证，结果表明，该模型能有效描述尾流的径向和垂向空间分布，在不同的风速下，径向相对误差最大为7.29%，最小为1.4%；垂向相对误差最大为7.64%，最小为3.87%，能够较好地预测整个尾流区域的三维分布。

Abstract

Under natural conditions

the wake velocity distribution approximates top-hat shape in the near wake center

and approximates Gaussian shape in the far wake.To improve the prediction accuracy of the wake distribution

a three-dimensional high-order Gaussian Laminar Elongated wake model is established by modifying the wake velocity distribution with high-order Gaussian function. Field tests and wind tunnel tests show that the proposed model can effectively describe the radial and vertical spatial distribution of wake flow. Under different wind speeds

the maximum radial relative error is 7.29% and the minimum is 1.4%; the maximum vertical relative error is 7.64% and the minimum is 3.87%

which means the proposed model can well predict velocity distribution in the whole wake region.

关键词

Keywords

references

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