Functional time series approach for forecasting very short-term electricity demand |
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Authors: | Han Lin Shang |
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Affiliation: | Department of Econometrics and Business Statistics , Monash University , VIC 3145 , Australia |
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Abstract: | This empirical paper presents a number of functional modelling and forecasting methods for predicting very short-term (such as minute-by-minute) electricity demand. The proposed functional methods slice a seasonal univariate time series (TS) into a TS of curves; reduce the dimensionality of curves by applying functional principal component analysis before using a univariate TS forecasting method and regression techniques. As data points in the daily electricity demand are sequentially observed, a forecast updating method can greatly improve the accuracy of point forecasts. Moreover, we present a non-parametric bootstrap approach to construct and update prediction intervals, and compare the point and interval forecast accuracy with some naive benchmark methods. The proposed methods are illustrated by the half-hourly electricity demand from Monday to Sunday in South Australia. |
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Keywords: | functional principal component analysis multivariate time series ordinary least-squares regression penalised least-squares regression roughness penalty seasonal time series |
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