2021
DOI: 10.3390/en14237952
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ARIMA Models in Electrical Load Forecasting and Their Robustness to Noise

Abstract: The paper addresses the problem of insufficient knowledge on the impact of noise on the auto-regressive integrated moving average (ARIMA) model identification. The work offers a simulation-based solution to the analysis of the tolerance to noise of ARIMA models in electrical load forecasting. In the study, an idealized ARIMA model obtained from real load data of the Polish power system was disturbed by noise of different levels. The model was then re-identified, its parameters were estimated, and new forecasts… Show more

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Cited by 60 publications
(27 citation statements)
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“…The ARIMA Model is especially appealing since it uses logical and well-organized processes to create models utilizing the autocorrelation and partial autocorrelation functions [35]. During load forecasting, the relatively weak response of the ARIMA model to sudden disturbances makes it more preferable to implement [36]. In this research, a simple model MA and an advanced model ARIMA have been considered.…”
Section: Comparison With Other Modelsmentioning
confidence: 99%
“…The ARIMA Model is especially appealing since it uses logical and well-organized processes to create models utilizing the autocorrelation and partial autocorrelation functions [35]. During load forecasting, the relatively weak response of the ARIMA model to sudden disturbances makes it more preferable to implement [36]. In this research, a simple model MA and an advanced model ARIMA have been considered.…”
Section: Comparison With Other Modelsmentioning
confidence: 99%
“…Common time series analysis methods include autoregressive moving average (ARMA), differential autoregressive moving average (ARIMA), generalized autoregressive conditional heteroskedasticity (GARCH), and so on. Reference [14] argued that there are different levels of noise disturbances in ARIMA forecasting short-term electricity loads, which require re-identification of the model before estimating parameters for the forecasting task, and that the model is able to determine the limit level of noise that the model can tolerate before crashing.…”
Section: Related Workmentioning
confidence: 99%
“…Time series methods rely on the historical load data and use statistical techniques to model the pattern of the load demand over time. Some famous examples of time series methods include ARIMA [6], Fuzzy series [7], and Multi-linear regression [8]. These methods assume that the future load demand will follow the same pattern as the past, with some random variation.…”
Section: Introductionmentioning
confidence: 99%