In order to detect the aerodynamic instability of a multistage axial compressor more accurately and earlier, the harmonic Fourier mean amplitude analysis method and heterotopic variance analysis method are developed. The dynamic instability prediction performance of the two methods is studied on a low-speed and a high-speed two-stage axial compressor. The harmonic Fourier mean amplitude analysis method is suitable for predicting the aerodynamic instability of a multistage axial compressor in the form of a rotating stall. Compared with the traditional harmonic Fourier analysis methods, the harmonic Fourier mean amplitude analysis method can capture the detail of the pressure signal more accurately and it can effectively prevent instability misjudgment. The heterotopic variance analysis method is developed based on the conventional variance analysis method, and it can be used to distinguish whether the compressor is in the rotating stall or the surge state. The heterotopic variance analysis method can predict the aerodynamic instability ahead of the harmonic Fourier mean amplitude analysis method, and fewer circumferential measuring points were employed. The layout of the measuring points also influences the detection of the aerodynamic instability of the compressor. The aerodynamic instability of the high-speed axial compressor can be predicted earlier by employing measuring points at the compressor outlet.

中文翻译：

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多级轴流式压缩机气动失稳检测的分析方法

为了更准确、更早地检测多级轴流式压气机气动失稳，提出了谐波傅里叶平均振幅分析法和异位方差分析法。在低速和高速两级轴流式压缩机上研究了两种方法的动态失稳预测性能。谐波傅里叶平均振幅分析方法适用于预测多级轴流式压缩机以旋转失速形式出现的气动不稳定性。与传统的谐波傅里叶分析方法相比，谐波傅里叶平均幅度分析方法能够更准确地捕捉压力信号的细节，有效防止失稳误判。异位方差分析法是在常规方差分析法的基础上发展起来的，可用于区分压缩机是处于旋转失速还是喘振状态。异位方差分析方法比谐波傅里叶平均振幅分析方法更能预测气动不稳定性，并且采用较少的周向测量点。测量点的布置也影响压气机空气动力不稳定性的检测。通过在压气机出口处采用测量点，可以更早地预测高速轴流式压气机的空气动力学不稳定性。异位方差分析方法比谐波傅里叶平均振幅分析方法更能预测气动不稳定性，并且采用较少的周向测量点。测量点的布置也影响压气机空气动力不稳定性的检测。通过在压气机出口处采用测量点，可以更早地预测高速轴流式压气机的空气动力学不稳定性。异位方差分析方法比谐波傅里叶平均振幅分析方法更能预测气动不稳定性，并且采用较少的周向测量点。测量点的布置也影响压气机空气动力不稳定性的检测。通过在压气机出口处采用测量点，可以更早地预测高速轴流式压气机的空气动力学不稳定性。