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《Journal of Northeastern University(Natural Science)》 2004-05
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Faults Diagnosis Based on Lyapunov Exponent and Phase Trajectory for a Generator Sets

HOU Rong-tao~1, CHU Xiang-zhi~2, REN Li-yi~1, WEN Bang-chun~1 (1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110004, China; 2. Tangshan College, Tangshan 063000, China. Correspondent: HOU Rong-tao, E-mail: rthou @ sohu.com)  
Based on chaos theory and the motional characteristics of non-linear dynamical systems, the fault diagnosis to a rotor of turbo-set generator was discussed. Three different running states of the generator rotor were studied in time series to determine the largest Lyapunov exponents from acquired time series, combining with the phase trajectory diagrams analyzed in the three states. The results showed that the largest Lyapunov exponents of time series obtained in the three different running states are different greatly form each other, with the types of the faults of the generator rotor thus revealed. The results were proved by the phase trajectories reconstructed with displacements and velocity shown by the time series data. It means that the largest Lyapunov exponent can be used as a quantified value to judge the motional characteristics of non-linear dynamical systems. So, a new and reliable method called as "Lyapunov exponent-phase trajectory" is proposed to diagnose and predict the faults of a turbo-generator set or other complex mechanisms.
【Fund】: 国家自然科学基金资助项目(50275024)
【CateGory Index】: TM311
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