Journal
APPLIED MATHEMATICAL MODELLING
Volume 102, Issue -, Pages 268-284Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2021.09.041
Keywords
Remaining useful life; Heavy tail; Long-range dependence; Fractional Levy stable motion
Funding
- major project of Ministry of Science and Technology of the Peoples Republic of China [2020AAA0109301]
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This paper introduces a new heavy tail degradation model, utilizing fractional L e acute accent vy stable motion as a diffusion term for predicting remaining useful life. Additionally, variational mode decomposition is employed to address the issue of unclear degradation trends in vibration signals.
In practice, the processes of degradation of inductive components and produced have longrange dependence characteristic, whereby the future degradation evolution is related to both current and previous states. Most known prediction models consider the degradation increments independent and the long-range dependence is not reflected. On the contrary, the heavy tail model can reveal the long-range dependence characteristic of the degradation processes.The contribution of this paper is to propose a new heavy tail degradation model, in which the fractional L e acute accent vy stable motion is used as a diffusion term to establish a degradation model with power rate drift. The difference iterative form of the fractional L e acute accent vy stable motion degradation model is, then, used to predict the remaining useful life. In the paper, this is applied to actual bearing degradation data and its prediction performance is analyzed. Variational mode decomposition is used to solve the problem that the degradation trend is not obvious for the vibration signals. (c) 2021 Elsevier Inc. All rights reserved.
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