Author(s)

Wenbing Wu, Jinquan Xiong, Yupeng Wu, Rihua Liu

Department of Mathmatics and Computer Science, Nanchang Normal University, Nanchang, China.

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  dimensional spectrum is 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.

Three Order Cumulants, Differential, Coupled, 1½ Dimensional Spectrum, Fault Diagnosis

Wu, W. , Xiong, J. , Wu, Y. and Liu, R. (2018) The Application of Coupled Three Order Cumulants’ Differential Feature in Fault Diagnosis. International Journal of Modern Nonlinear Theory and Application, 7, 77-87. doi: 10.4236/ijmnta.2018.72006.