关联维数和Kolm ogorov熵在航空发动机故障诊断中的应用

Application of Correlation Dimension and Kolmogorov Entropy in Aeroengine Fault Diagnosis

总结了关联维数和K o lm ogorov熵的计算方法,给出详细的计算步骤,并通过对某型发动机在不同状态下关联维数和K o lm ogorov熵的计算和混沌特性分析,提出一种将关联维数和K o lm ogorov熵结合使用的新的故障诊断手段。实验结果表明:由于不同故障的动力学产生机制不同,通常也具有不同的关联维数和K o l-m ogorov熵,故关联维数和K o lm ogorov熵可用于故障的特征提取。

The algorithm for the calculation of correlation dimension and Kolmogorov entropy was introduced. According to the analysis of chaos identity and the correlation dimension and Kolmogorov entropy of some engine, a new method of fault diagnosis that integrated correlation dimension with Kolmogorov entropy was proposed. The results show that the different fault has different correlation dimension and Kolmogorov entropy because of their different kinetics mechanisms,and thus correlation dimension and Kolmogorov entropy can be used to identify the fault symptoms.