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Correlation Analyses of the Temperature Time Series Data from the Heat Box for Energy Modeling in the Automobile Drying Process

자동차 건조 공정 에너지 예측 모형을 위한 공조기 온도 시계열 데이터의 상관관계 분석

  • Lee, Chang-Yong (Dept. of Industrial and Systems Engineering, Kongju National University) ;
  • Song, Gensoo (Dept. of Industrial and Systems Engineering, Kongju National University) ;
  • Kim, Jinho (Dept. of Industrial and Systems Engineering, Kongju National University)
  • 이창용 (공주대학교 산업시스템공학과) ;
  • 송근수 (공주대학교 산업시스템공학과) ;
  • 김진호 (공주대학교 산업시스템공학과)
  • Received : 2014.05.20
  • Accepted : 2014.06.11
  • Published : 2014.06.30

Abstract

In this paper, we investigate the statistical correlation of the time series for temperature measured at the heat box in the automobile drying process. We show, in terms of the sample variance, that a significant non-linear correlation exists in the time series that consist of absolute temperature changes. To investigate further the non-linear correlation, we utilize the volatility, an important concept in the financial market, and induce volatility time series from absolute temperature changes. We analyze the time series of volatilities in terms of the de-trended fluctuation analysis (DFA), a method especially suitable for testing the long-range correlation of non-stationary data, from the correlation perspective. We uncover that the volatility exhibits a long-range correlation regardless of the window size. We also analyze the cross correlation between two (inlet and outlet) volatility time series to characterize any correlation between the two, and disclose the dependence of the correlation strength on the time lag. These results can contribute as important factors to the modeling of forecasting and management of the heat box's temperature.

Keywords

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