Condition Maintenance Decision of Wind Turbine Gearbox Based on Stochastic Differential Equation

Hongsheng Su, Dantong Wang and Xuping Duan
Additional contact information
Hongsheng Su: School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
Dantong Wang: School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
Xuping Duan: School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

Energies, 2020, vol. 13, issue 17, 1-13

Abstract: Maintenance decision analysis is necessary to ensure the safe and stable operation of wind turbine equipment. To address gearboxes with a high failure rate in wind turbines, this paper establishes a new stochastic differential equation model of gearbox state transition to maximize the utilization of gearboxes. This model divides the state of the gearbox into two parts: internal degradation and external random interference. Weibull distribution and polynomial approximation were used to construct the internal degradation model of the gearbox. The external random interference is simulated by Brownian motion. On the basis of the analysis of monitoring data, the parameters of the gearbox state model were solved using the Newton–Raphson iterative method and entropy method. The state change of the gearbox was simulated in MATLAB, and the residual value between the predicted state and the real state was calculated. Compared with the state transformation model constructed by the traditional ordinary differential equation and the gamma distribution, the Weibull polynomial approximation stochastic model can better reflect the state of the device. With reliability set as the decision goal, the maintenance time of the gearbox is predicted, and the validity of the model is verified through case analysis.

Keywords: stochastic differential equation; Weibull distribution; polynomial approximation; entropy method; reliability (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://www.mdpi.com/1996-1073/13/17/4480/pdf (application/pdf)
https://www.mdpi.com/1996-1073/13/17/4480/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:13:y:2020:i:17:p:4480-:d:406545

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().