The Application of Coupled Three Order Cumulants' Differential Feature in Fault Diagnosis

Wu Wenbing, Xiong Jinquan
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Abstract

Complex three order cumulant has different definition forms. Different forms conclude different information. For studying the effection of frequency in the coupled signals to fault diagnosis, the differential method to the three order cumulants of coupled signals is adopted. By using the differential of complex three order cumulants before and after respectively, then their 1 1/2 dimensional spectrum calculated, and the results are used to fault diagnosis. The experimental results show that, the increase frequency item in three order cumulants after differentiated impacts on the results of fault diagnosis, and the degree of effection is relative to the differential times. And the correct rate of fault diagnosis can be raised by changing the differential times of three order cumulants.
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耦合三阶累积量的微分特征在故障诊断中的应用
复三阶累积量有不同的定义形式。不同的形式总结出不同的信息。为了研究耦合信号中频率对故障诊断的影响,对耦合信号的三阶累积量采用微分法。分别利用复三阶累积量前后的微分,计算其1 1/2维谱,并将结果用于故障诊断。实验结果表明,三阶累积量的频次增加项对故障诊断结果有不同程度的影响,且影响程度与不同次数有关。通过改变三阶累积量的微分次数,可以提高故障诊断的正确率。
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