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基于灰狼优化支持向量回归的气动系统机器学习建模及小波奇异谱的失稳识别策略

Aerodynamic System Machine Learning Modeling with Gray Wolf Optimization Support Vector Regression and Instability Identification Strategy of Wavelet Singular Spectrum.

作者信息

Zhang Mingming, Kong Pan, Xia Aiguo, Tuo Wei, Lv Yongzhao, Wang Shaohong

机构信息

Faculty of Science, Beijing University of Technology, Beijing 100124, China.

Key Laboratory of Modern Measurement and Control Technology, Beijing Information Science and Technology University, Beijing 100192, China.

出版信息

Biomimetics (Basel). 2023 Mar 23;8(2):132. doi: 10.3390/biomimetics8020132.

Abstract

The prediction of a stall precursor in an axial compressor is the basic guarantee to the stable operation of an aeroengine. How to predict and intelligently identify the instability of the system in advance is of great significance to the safety performance and active control of the aeroengine. In this paper, an aerodynamic system modeling method combination with the wavelet transform and gray wolf algorithm optimized support vector regression (WT-GWO-SVR) is proposed, which breaks through the fusion technology based on the feature correlation of chaotic data. Because of the chaotic characteristic represented by the sequence, the correlation-correlation (C-C) algorithm is adopted to reconstruct the phase space of the spatial modal. On the premise of finding out the local law of the dynamic system variety, the machine learning method is applied to model the reconstructed low-frequency components and high-frequency components, respectively. As the key part, the parameters of the SVR model are optimized by the gray wolf optimization algorithm (GWO) from the biological view inspired by the predatory behavior of gray wolves. In the definition of the hunting behaviors of gray wolves by mathematical equations, it is superior to algorithms such as differential evolution and particle swarm optimization. In order to further improve the prediction accuracy of the model, the multi-resolution and equivalent frequency distribution of the wavelet transform (WT) are used to train support vector regression. It is shown that the proposed WT-GWO-SVR hybrid model has a better prediction accuracy and reliability with the wavelet reconstruction coefficients as the inputs. In order to effectively identify the sign of the instability in the modeling system, a wavelet singular information entropy algorithm is proposed to detect the stall inception. By using the three sigma criteria as the identification strategy, the instability early warning can be given about 102r in advance, which is helpful for the active control.

摘要

轴流压气机失速先兆的预测是航空发动机稳定运行的基本保障。如何提前预测并智能识别系统的不稳定性,对航空发动机的安全性能和主动控制具有重要意义。本文提出了一种将小波变换与灰狼算法优化支持向量回归(WT-GWO-SVR)相结合的气动系统建模方法,突破了基于混沌数据特征相关性的融合技术。由于序列所呈现的混沌特性,采用关联维数(C-C)算法重构空间模态的相空间。在找出动态系统变化局部规律的前提下,分别应用机器学习方法对重构后的低频分量和高频分量进行建模。作为关键部分,SVR模型的参数由灰狼优化算法(GWO)从受灰狼捕食行为启发的生物学角度进行优化。在通过数学方程定义灰狼的狩猎行为方面,它优于差分进化和粒子群优化等算法。为了进一步提高模型的预测精度,利用小波变换(WT)的多分辨率和等效频率分布来训练支持向量回归。结果表明,所提出的WT-GWO-SVR混合模型以小波重构系数作为输入具有更好的预测精度和可靠性。为了有效识别建模系统中不稳定性的征兆,提出了一种小波奇异信息熵算法来检测失速起始。以三倍标准差准则作为识别策略,可提前约102r给出不稳定性预警,这有助于主动控制。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0e25/10123602/a0140f4fff5d/biomimetics-08-00132-g001.jpg

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