流场声学层析成像测量方法仿真和实验研究  

Numerical simulation and experimental study of flow field measurement based on acoustic tomography method

作　　者：孔倩 赵义豪 姜根山[3] 王哲 李鹏[1,2] Kong Qian;Zhao Yihao;Jiang Genshan;Wang Zhe;Li Peng(Department of Mathematics and Physics,North China Electric Power University,Baoding 071003,China;Hebei Key Laboratory of Physics and Energy Technology,North China Electric Power University,Baoding 071003,China;School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)

机构地区：[1]华北电力大学数理系,保定071003 [2]华北电力大学河北省物理学与能源技术重点实验室,保定071003 [3]华北电力大学数理学院,北京102206

出　　处：《仪器仪表学报》2024年第6期63-74,共12页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金(12104151,12274122);河北省自然基金(A2021502005);中央高校基本科研业务费专项(2021MS118)资助。

摘　　要：流速是实现工业生产过程在线监测和精准化控制的重要依据。为准确测得流场分布,提出了基于径向基函数结合均衡优化(RBF-EO)算法的流场声学层析成像方法。采用径向基函数逼近建立声学流场重建模型,利用均衡优化算法求解重建问题中的不适定方程。对典型的四角切圆速度场模型进行了数值模拟与算法的抗噪性检验,并将本算法与传统的重建方法:Tikhonov算法、SVD分解法和灰狼优化算法进行了比较。仿真结果表明该算法能够很好的反演出流场分布,具有较高的重建性能和良好的抗噪性。最后,在实验室进行了1.05 m×1.05 m的测量区域内的流场声学测量实验,并与飘带流场显示和风速仪测量结果进行了对比,结果显示,RBF-EO算法与风速仪测量结果在8个测点的平均误差为9.77%,验证了本文声波流场测量方法的可靠性。Flow velocity is an important basis for realizing online monitoring and precise control of industrial production processes.In order to accurately measure the distribution of the flow field,a reconstruction method based on the combination of radial basis function and equilibrium optimizer(RBF-EO)algorithm is proposed.The radial basis function is used to approximate and establish the model for reconstructing the acoustic velocity field,and the equilibrium optimizer algorithm is used to solve the ill-posed equations in the reconstruction problem.Numerical simulation and noise resistance test of the algorithm were conducted on a typical four-corner tangential velocity field model,and the algorithm was compared with traditional reconstruction methods such as Tikhonov algorithm,SVD decomposition method,and gray wolf optimization algorithm.The simulation results showed that the algorithm can well reconstruct the flow field distribution with higher reconstruction performance and better noise resistance.Finally,the acoustic measurement experiment of the flow field in the measurement area of 1.05 m×1.05 m was carried out in the laboratory.The results were compared with the strip display and anemometer,and the average relative error is 9.77%between RBF-EO algorithm and anemometer measurement results at 8 measurement points,which verifies the reliability of the acoustic flow field measurement method in this paper.

关 键 词：声波法 流场测量 声学层析成像 均衡优化算法 径向基函数 

分 类 号：TH811[机械工程—仪器科学与技术]