A novel thermal turbulence reconstruction method using proper orthogonal decomposition and compressed sensing coupled based on improved particle swarm optimization for sensor arrangement

Zhenhuan Zhang, Xiuyan Gao, Qixiang Chen, Yuan Yuan
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Abstract

With the development of offshore wind turbine single power toward levels beyond 10 MW, the increase in heat loss of components in the nacelle leads to a high local temperature in the nacelle, which seriously affects the performance of the components. Accurate reconstruction and control of thermal turbulence in the nacelle can alleviate this problem. However, the physical environment of thermal turbulence in the nacelle is very complex. Due to the intermittent and fluctuating nature of turbulence, the turbulent thermal environment is highly nonlinear when coupled with the temperature field. This leads to large reconstruction errors in existing reconstruction methods. Therefore, we improve the sparse reconstruction method for compressed sensing (CS) based on the concept of virtual time using proper orthogonal decomposition (POD). The POD-CS method links the turbulent thermal environment reconstruction with matrix decomposition to ensure computational accuracy and computational efficiency. The improved particle swarm optimization (PSO) is used to optimize the sensor arrangement to ensure stability of the reconstruction and to save sensor resources. We apply this novel and improved PSO-POD-CS coupled reconstruction method to the thermal turbulence reconstruction in the nacelle. The effects of different basis vector dimensions and different sensor location arrangements (boundary and interior) on the reconstruction errors are also evaluated separately, and finally, the desired reconstruction accuracy is obtained. The method is of research value for the reconstruction of conjugate heat transfer problems with high turbulence intensity.
基于改进型粒子群优化传感器布置的适当正交分解与压缩传感耦合的新型热湍流重构方法
随着海上风力涡轮机单机功率向超过 10 兆瓦的水平发展,机舱内组件热损耗的增加导致机舱局部温度过高,严重影响了组件的性能。机舱内热湍流的精确重建和控制可以缓解这一问题。然而,机舱内热湍流的物理环境非常复杂。由于湍流的间歇性和波动性,当与温度场耦合时,湍流热环境是高度非线性的。这导致现有重建方法存在较大的重建误差。因此,我们基于虚拟时间的概念,利用适当的正交分解(POD)改进了压缩传感(CS)的稀疏重建方法。POD-CS 方法将湍流热环境重建与矩阵分解联系起来,以确保计算精度和计算效率。改进的粒子群优化(PSO)用于优化传感器布置,以确保重建的稳定性并节省传感器资源。我们将这种新颖的改进型 PSO-POD-CS 耦合重构方法应用于机舱内的热湍流重构。我们还分别评估了不同基向量维度和不同传感器位置布置(边界和内部)对重建误差的影响,最终获得了理想的重建精度。该方法对重建高湍流强度的共轭传热问题具有研究价值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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