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Functional clustering and linear regression for peak load forecasting

Aldo Goia, Caterina May and Gianluca Fusai

International Journal of Forecasting, 2010, vol. 26, issue 4, 700-711

Abstract: In this paper we consider the problem of short-term peak load forecasting using past heating demand data in a district-heating system. Our data-set consists of four separate periods, with 198 days in each period and 24 hourly observations in each day. We can detect both an intra-daily seasonality and a seasonality effect within each period. We take advantage of the functional nature of the data-set and propose a forecasting methodology based on functional statistics. In particular, we use a functional clustering procedure to classify the daily load curves. Then, on the basis of the groups obtained, we define a family of functional linear regression models. To make forecasts we assign new load curves to clusters, applying a functional discriminant analysis. Finally, we evaluate the performance of the proposed approach in comparison with some classical models.

Keywords: Short-term; forecasting; Out-of-sample; Load; curve; Seasonality; Functional; regression; Functional; clustering; Functional; linear; discriminant; analysis (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (47)

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