Using Johnson Distribution for Automatic Threshold Setting in Wind Turbine Condition Monitoring System

Abstract

Setting optimal alarm thresholds in vibration based condition monitoring system is inherently difficult. There are no established thresholds for many vibration based measurements. Most of the time, the thresholds are set based on statistics of the collected data available. Often times the underlying probability distribution that describes the data is not known. Choosing an incorrect distribution to describe the data and then setting up thresholds based on the chosen distribution could result in sub-optimal thresholds. Moreover, in wind turbine applications the collected data available may not represent the whole operating conditions of a turbine, which results in uncertainty in the parameters of the fitted probability distribution and the thresholds calculated. In this study Johnson distribution is used to identify shape, location, and scale parameters of distribution that can best fit vibration data. This study shows that using Johnson distribution can eliminate testing or fitting various distributions to the data, and have more direct approach to obtain optimal thresholds. To quantify uncertainty in the thresholds due to limited data, implementations with bootstrap method and Bayesian inference are investigated.

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Document Details

Document Type
Technical Report
Publication Date
Dec 23, 2014
Accession Number
AD1002410

Entities

People

  • Georgios A. Skrimpas
  • Kun S. Marhadi

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Bayes Theorem
  • Bayesian Inference
  • Computational Science
  • Data Science
  • Distribution Functions
  • Gaussian Distributions
  • Generators
  • Information Science
  • Monte Carlo Method
  • Normal Distribution
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Wind Turbines

Readers

  • Aerodynamics.
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference