A CASE STUDY ON MODELLING AND FORECASTING ELECTRICITY DEMAND DATA USING DOUBLE SEASONAL ARIMA
Keywords:
electricity demand, DSARIMA, estimation, forecasting, model identificationDOI:
https://doi.org/10.17654/0972361725057Abstract
The substantial electricity demand data necessitates modelling and forecasting using an extension of the Seasonal Autoregressive Integrated Moving Average (SARIMA), known as Double SARIMA (DSARIMA). DSARIMA is suitable since the electricity data exhibits two seasonalities. However, researchers often employed the multiplicative model to analyze seasonal data without considering the alternative models, additive and subset. Thus, this study incorporates all DSARIMA, additive, multiplicative, and subset models in forecasting electricity demand data while comparing different parameter estimation methods: Maximum Likelihood (ML) and least squares. The dataset from the United Kingdom for the years 2022 and 2023 was utilized in this study. The analysis accounted for seasonal patterns with half-hourly and weekly intervals, represented by 48 and 336 periods, respectively. The results reveal that the subset DSARIMA model with the least square estimation method produces the highest forecasting accuracy with the lowest Mean Absolute Percentage Error (MAPE) value compared to the other possible models for all forecasting horizons, ranging from one to four weeks. This study has demonstrated the significance of considering different DSARIMA models with alternative parameter estimation methods. This, ultimately, ensures more accurate and reliable predictions in double seasonal data.
Received: April 11, 2025
Revised: May 8, 2025
Accepted: July 3, 2025
References
[1] M. Azka, S. Wiradinata, M. Faisal and Suhartono, Double seasonal ARIMA for forecasting electricity demand of Kuaro Main Gate in East Kalimantan, IOP Conference Series: Materials Science and Engineering 846(1) (2020), 012064. https://doi.org/10.1088/1757-899x/846/1/012064.
[2] G. E. P. Box and G. M. Jenkins, Time Series Analysis: Forecasting and Control, Holden-Day, San Francisco, 1970.
[3] G. E. P. Box, G. M. Jenkins, G. C. Reinsel and G. M. Ljung, Time Series Analysis: Forecasting and Control, John Wiley and Sons, Inc., 2016.
[4] S. A. Dinata, M. Azka, M. Faisal, Suhartono, R. Yendra and M. D. Gamal, Short-term load forecasting double seasonal ARIMA methods: an evaluation based on Mahakam-East Kalimantan Data, AIP Conference Proceedings, 2020.
https://doi.org/10.1063/5.0017643.
[5] P. Goodwin and R. Lawton, On the asymmetry of the symmetric MAPE, International Journal of Forecasting 15(4) (1999), 405-408.
https://doi.org/10.1016/S0169-2070(99)00007-2.
[6] R. J. Hyndman and G. Athanasopoulos, Forecasting: Principles and Practice, 2nd ed., OTexts, Melbourne, Australia, 2018. OTexts.com/fpp2, Accessed on 31st January 2022.
[7] I. Mado, A. Rajagukguk, A. Triwiyatno and A. Fadllullah, Short-term electricity load forecasting model based DSARIMA, International Journal of Electrical, Energy and Power System Engineering 5(1) (2022), 6-11.
https://doi.org/10.31258/ijeepse.5.1.6-11.
[8] I. Mado, A. Soeprijanto and S. Suhartono, Applying the double seasonal ARIMA model for electrical power demand forecasting at PT, PLN Gresik Indonesia, International Journal of Electrical and Computer Engineering (IJECE) 8(6) (2018), 4892. http://doi.org/10.11591/ijece.v8i6.pp4892-4901.
[9] S. Makridakis, S. C. Wheelwrigt and V. Mcgee, Forecasting: Methods and Applications, 2nd ed., John Wiley and Sons, New York, 1983.
[10] SAS Institute Inc., SAS/ETS® 13.2 User’s Guide, Cary, NC: SAS Institute Inc., 2014.
[11] Suhartono, Time Series forecasting by using seasonal autoregressive integrated moving average: subset, multiplicative or additive model, J. Math. Stat. 7(1) (2011), 20-27. https://doi.org/10.3844/jmssp.2011.20.27.
[12] R. S. Tsay, Time series and forecasting: brief history and future research, J. Amer. Statist. Assoc. 95(450) (2000), 638-643.
[13] W. W. Wei, Time Series Analysis, Univariate and Multivariate Methods, 2nd ed., Pearson, Addison Wesley, New York, 2006.
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