Abstract
The rapid development of population, economy and technology currently has led to the fast increase in electric consumption. Therefore, efficient energy management and load forecasting have been flagged as a very important need for electric networks planning and operation. Recently, different techniques have been developed to deal with load forecasting. However, the stochastic nature and uncertainty characteristics of the electric load make demand forecasting a challenging task for electric utilities where no technique can be identified as the most efficient one. It becomes therefore relevant to identify the technique that best fits a specific dataset. Thus, in this paper we propose a comparative study of four techniques for long-term load forecasting, namely Box–Jenkins, multiple linear regressions, MLR and nonlinear autoregressive neuronal networks with and without exogenous variables, NARX and NAR. The study is conducted on the Tunisian electric consumption, and the performance of different techniques is evaluated as a function of historical data and forecasting period’s variations. Quantitative and qualitative assessments of results are reported in this study in order to pinpoint the strengths and weaknesses of the different assessed forecasting techniques.
Similar content being viewed by others
Abbreviations
- ϕ i :
-
Auto-regression coefficients
- θ i :
-
Moving average coefficients
- ε t :
-
Random error
- y(t):
-
Output signal
- w i, w o :
-
Weights matrices with respect to the input and the output
- b o, b i :
-
Biases matrices with respect to the input and the output
- w h1, w h1 :
-
Weights and biases matrices of the first hidden layer
- β i :
-
Regression parameters
- x(t):
-
Input signal
- d x, d y :
-
Input and output time offsets
- c ip :
-
Constants of simple linear regressions
- ARIMA:
-
Autoregressive integrated moving average
- EXGS:
-
Exports of goods and services
- GDP:
-
Gross domestic product
- IMGS:
-
Imports of goods and services
- IT:
-
Internet subscriptions
- MAPE:
-
Mean absolute percentage error
- MCS:
-
Mobile cellular subscriptions
- MLR:
-
Multiple linear regression
- NAR:
-
Nonlinear autoregressive neuronal networks
- NARX:
-
Nonlinear autoregressive neuronal networks with exogenous variables
- SSE:
-
Secondary school enrollment rate
- TF:
-
Fixed telephone lines
References
Conti J, Holtberg P, Diefenderfer J, LaRose A, Turnure JT, Westfall L (2016) International energy outlook 2016 with projections to 2040 (No. DOE/EIA-0484 (2016)). USDOE Energy Information Administration (EIA), Washington, DC (United States). Office of Energy Analysis
Cancelo JR, Espasa A, Grafe R (2008) Forecasting the electricity load from one day to one week ahead for the Spanish system operator. Int J Forecast 24(4):588–602
Dordonnat V, Pichavant A, Pierrot A (2016) GEFCom2014 probabilistic electric load forecasting using time series and semi-parametric regression models. Int J Forecast 32(3):1005–1011
Singh AK, Khatoon S, Muazzam M, Chaturvedi DK (2012) Load forecasting techniques and methodologies: a review. In: The 2nd IEEE international conference on power, control and embedded systems (ICPCES), pp 1–10
Hong T, Wilson J, Xie J (2014) Long term probabilistic load forecasting and normalization with hourly information. IEEE Trans Smart Grid 5(1):456–462
Suganthi L, Samuel AA (2012) Energy models for demand forecasting—a review. Renew Sustain Energy Rev 16(2):1223–1240
Hong T, Fan S (2016) Probabilistic electric load forecasting: a tutorial review. Int J Forecast 32(3):914–938
Ekonomou L, Oikonomou DS (2008) Application and comparison of several artificial neural networks for forecasting the Hellenic daily electricity demand load. In: Proceedings of the 7th WSEAS international conference on artificial intelligence, knowledge engineering and data bases, Cairo, Egypt, pp 29–31
Khuntia SR, Rueda JL, van der Meijden MA (2016) Forecasting the load of electrical power systems in mid-and long-term horizons: a review. IET Gener Transm Distrib 10(16):3971–3977
Ghods L, Kalantar M (2011) Different methods of long-term electric load demand forecasting, a comprehensive review. Iran J Electr Electron Eng 7(4):249–259
Hahn H, Meyer-Nieberg S, Pickl S (2009) Electric load forecasting methods: tools for decision making. Eur J Oper Res 199(3):902–907
Metaxiotis K, Kagiannas A, Askounis D, Psarras J (2003) Artificial intelligence in short term electric load forecasting: a state-of-the-art survey for the researcher. Energy Convers Manag 44(9):1525–1534
Yildiz B, Bilbao J, Sproul A (2017) A review and analysis of regression and machine learning models on commercial building electricity load forecasting. Renew Sustain Energy Rev 73:1104–1122
de Oliveira EM, Oliveira FLC (2018) Forecasting mid-long term electric energy consumption through bagging ARIMA and exponential smoothing methods. Energy 144:776–788
Mi J, Fan L, Duan X, Qiu Y (2018) Short-term power load forecasting method based on improved exponential smoothing grey model. Math Probl Eng 2018:11
Mohammed J, Bahadoorsingh S, Ramsamooj N, Sharma C (2017) Performance of exponential smoothing, a neural network and a hybrid algorithm to the short term load forecasting of batch and continuous loads. In: 2017 IEEE Manchester PowerTech, pp 1–6
Pappas SS, Ekonomou L, Moussas VC, Karampelas P, Katsikas SK (2008) Adaptive load forecasting of the Hellenic electric grid. J Zhejiang Univ Sci A 9(12):1724–1730
Ekonomou L (2010) Greek long-term energy consumption prediction using artificial neural networks. Energy 35(2):512–517
Taylor JW (2010) Triple seasonal methods for short-term electricity demand forecasting. Eur J Oper Res 204(1):139–152
Khan AR, Mahmood A, Safdar A, Khan ZA, Khan NA (2016) Load forecasting, dynamic pricing and dsm in smart grid: a review. Renew Sustain Energy Rev 54:1311–1322
Tang N, Zhang D-J (2011) Application of a load forecasting model based on improved grey neural network in the smart grid. Energy Proc 12:180–184
AlRashidi M, El-Naggar K (2010) Long term electric load forecasting based on particle swarm optimization. Appl Energy 87(1):320–326
Kouhi S, Keynia F (2013) A new cascade NN based method to short-term load forecast in deregulated electricity market. Energy Convers Manag 71:76–83
Ekonomou L, Christodoulou CA, Mladenov V (2016) A short-term load forecasting method using artificial neural networks and wavelet analysis. Int J Power Syst 1:64–68
Tang L, Wang X, Wang X, Shao C, Liu S, Tian S (2019) Long-term electricity consumption forecasting based on expert prediction and fuzzy Bayesian theory. Energy 167:1144–1154
Shi ZB, Li Y, Yu T (2009) Short-term load forecasting based on LS-SVM optimized by bacterial colony chemotaxis algorithm. In: 2009 international conference on information and multimedia technology. IEEE, pp 306–309
Hong T, Fan S (2016) Probabilistic electric load forecasting: a tutorial review. Int J Forecast 32(3):914–938
Ghods L, Kalantar M (2011) Different methods of long-term electric load demand forecasting; a comprehensive review. Iran J Electr Electron Eng 7(4):249–259
Hermias JP, Teknomo K, Monje JCN (2017) Short-term stochastic load forecasting using autoregressive integrated moving average models and Hidden Markov Model. In: 2017 international conference on information and communication technologies (ICICT), pp 131–137
Bonetto R, Rossi M (2016) Parallel multi-step ahead power demand forecasting through nar neural networks. In: 2016 IEEE international conference on smart grid communications (SmartGridComm). IEEE, pp 314–319
Hashmi MU, Arora V, Priolkar JG (2015) Hourly electric load forecasting using nonlinear autoregressive with exogenous (narx) based neural network for the state of Goa, india. In: 2015 international conference on industrial instrumentation and control (ICIC), pp 1418–1423
Di Piazza A, Di Piazza MC, Vitale G (2016) Solar and wind forecasting by narx neural networks. Renew Energy Environ Sustain 1:39
Fu CW, Nguyen TT (2003) Models for long-term energy forecasting. In: Proceedings of IEEE power engineering society general meeting
Li Y, Niu D (2010) Application of principal component regression analysis in power load forecasting for medium and long term. In: Proceeding of the 3rd international conference on advanced computer theory and engineering
Yildiz B, Bilbao J, Sproul A (2017) A review and analysis of regression and machine learning models on commercial building electricity load forecasting. Renew Sustain Energy Rev 73:1104–1122
Amani P, Kihl M, Robertsson A (2011) Narx-based multi-step ahead response time prediction for database servers. In: 11th international conference on intelligent systems design and applications (ISDA), pp 813–818
https://data.worldbank.org/. Accessed 09 July 2018
Shahbaz M, Lean HH (2012) Does financial development increase energy consumption? The role of industrialization and urbanization in tunisia. Energy Policy 40:473–479
Fallahi F (2011) Causal relationship between energy consumption (ec) and gdp: a markovswitching (ms) causality. Energy 36(7):4165–4170
Hossain MS (2011) Panel estimation for CO2 emissions, energy consumption, economic growth, trade openness and urbanization of newly industrialized countries. Energy Policy 39(11):6991–6999
Cederborg J, Snöbohm S (2016) Is there a relationship between economic growth and carbon dioxide emissions? Södertörn University, School of Social Sciences, Economics
Hagan MT, Menhaj MB (1994) Training feed forward networks with the Marquardt algorithm. IEEE Trans Neural Netw 5:989–993
Alwakeel M, Shaaban Z (2010) Face Recognition based on haar wavelet transform and principal component analysis via Levenberg–Marquardt backpropagation neural network. Eur J Sci Res 42:25–31
Kaboli SHA, Selvaraj J, Rahim NA (2016) Long-term electric energy consumption forecasting via artificial cooperative search algorithm. Energy 115:857–871
Askarzadeh A (2014) Comparison of particle swarm optimization and other metaheuristics on electricity demand estimation: a case study of iran. Energy 72:484–491
https://www.nyiso.com/public/markets_operations/market_data/load_data/index.jsp. Accessed 9 July 2018
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Essallah, S., Khedher, A. A comparative study of long-term load forecasting techniques applied to Tunisian grid case. Electr Eng 101, 1235–1247 (2019). https://doi.org/10.1007/s00202-019-00859-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00202-019-00859-w