Abstract
Electric load forecasting has become crucial to the safe operation of power grids and cost reduction in the production of power. Although numerous electric load forecasting models have been proposed, most of them are still limited by poor effectiveness in the model training and a sensitivity to outliers. The limitations of current methods may lead to extra operational costs of a power system or even disrupt its power distribution and network safety. To this end, we propose a new hybrid load-forecasting model, which is based on a robust extreme-learning machine and an improved whale optimization algorithm. Specifically, Huber loss, which is insensitive to outliers, is proposed as the objective function in extreme learning machine (ELM) training. In addition, an improved whale optimization algorithm is designed for the robust ELM training, in which a cellular automaton mechanism is used to enhance the local search. To verify our improved whale optimization algorithm, some experiments were then conducted based on seven benchmark test functions. Due to the enhancement of the local search, the improved optimizer was around 7% superior to the basic. Finally, our proposed hybrid forecasting model was validated by two real electric load datasets (Nanjing and New South Wales), and the experimental results confirmed that the proposed hybrid load-forecasting model could achieve satisfying improvements in both datasets.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Kong W, Dong Z Y, Jia Y, Hill D J, Xu Y, Zhang Y (2017) Short-term residential load forecasting based on lstm recurrent neural network. IEEE Trans Smart Grid 10(1):841–851
Guo W, Che L, Shahidehpour M, Wan X (2021) Machine-learning based methods in short-term load forecasting. Electr J 34(1):106884
Zareipour H, Canizares C A, Bhattacharya K (2009) Economic impact of electricity market price forecasting errors: a demand-side analysis. IEEE Trans Power Syst 25(1):254–262
Xie J, Chen Y, Hong T, Laing T D (2016) Relative humidity for load forecasting models. IEEE Trans Smart Grid 9(1):191–198
Ouyang T, He Y, Li H, Sun Z, Baek S (2019) Modeling and forecasting short-term power load with copula model and deep belief network. IEEE Trans Emerg Top Comput Intell 3(2):127–136
Chen K, Chen K, Wang Q, He Z, Hu J, He J (2018) Short-term load forecasting with deep residual networks. IEEE Trans Smart Grid 10(4):3943–3952
Cui Z, Wu J, Ding Z, Duan Q, Lian W, Yang Y, Cao T (2021) A hybrid rolling grey framework for short time series modelling. Neural Comput Appl:1–15
Heydari A, Nezhad M M, Pirshayan E, Garcia D A, Keynia F, De Santoli L (2020) Short-term electricity price and load forecasting in isolated power grids based on composite neural network and gravitational search optimization algorithm. Appl Energy 277:115503
Xu W, Peng H, Zeng X, Zhou F, Tian X, Peng X (2019) A hybrid modelling method for time series forecasting based on a linear regression model and deep learning. Appl Intell 49(8):3002– 3015
Lindberg KB, Seljom P, Madsen H, Fischer D, Korpås M (2019) Long-term electricity load forecasting: Current and future trends. Util Policy 58:102–119
Dong M, Grumbach L (2019) A hybrid distribution feeder long-term load forecasting method based on sequence prediction. IEEE Trans Smart Grid 11(1):470–482
Al Mamun A, Sohel M, Mohammad N, Sunny M S H, Dipta D R, Hossain E (2020) A comprehensive review of the load forecasting techniques using single and hybrid predictive models. IEEE Access 8:134911–134939
Zhou M, Jin M (2017) Holographic ensemble forecasting method for short-term power load. IEEE Trans Smart Grid 10(1):425–434
Chitalia G, Pipattanasomporn M, Garg V, Rahman S (2020) Robust short-term electrical load forecasting framework for commercial buildings using deep recurrent neural networks. Appl Energy 278:115410
Zhang S, Wang Y, Zhang Y, Wang D, Zhang N (2020) Load probability density forecasting by transforming and combining quantile forecasts. Appl Energy 277:115600
Ye F, Zhang L, Zhang D, Fujita H, Gong Z (2016) A novel forecasting method based on multi-order fuzzy time series and technical analysis. Inf Sci 367:41–57
López J C, Rider M J, Wu Q (2018) Parsimonious short-term load forecasting for optimal operation planning of electrical distribution systems. IEEE Trans Power Syst 34(2):1427– 1437
Hafeez G, Alimgeer K S, Khan I (2020) Electric load forecasting based on deep learning and optimized by heuristic algorithm in smart grid. Appl Energy 269:114915
Wu Z, Zhao X, Ma Y, Zhao X (2019) A hybrid model based on modified multi-objective cuckoo search algorithm for short-term load forecasting. Appl Energy 237:896–909
Ye M, Wang H (2020) Robust adaptive integral terminal sliding mode control for steer-by-wire systems based on extreme learning machine. Comput Electr Eng 86:106756
Talaat M, Farahat MA, Mansour N, Hatata AY (2020) Load forecasting based on grasshopper optimization and a multilayer feed-forward neural network using regressive approach. Energy 196:117087
Alipour M, Aghaei J, Norouzi M, Niknam T, Hashemi S, Lehtonen M (2020) A novel electrical net-load forecasting model based on deep neural networks and wavelet transform integration. Energy 205:118106
Ribeiro G T, Mariani V C, dos Santos Coelho L (2019) Enhanced ensemble structures using wavelet neural networks applied to short-term load forecasting. Eng Appl Artif Intell 82:272–281
Sheng Z, Wang H, Chen G, Zhou B, Sun J (2020) Convolutional residual network to short-term load forecasting. Appl Intell:1–15
Elattar E E, Sabiha N A, Alsharef M, Metwaly M K, Abd-Elhady A M, Taha Ibrahim BM (2020) Short term electric load forecasting using hybrid algorithm for smart cities. Appl Intell 50:3379–3399
Bedi J, Toshniwal D (2020) Energy load time-series forecast using decomposition and autoencoder integrated memory network. Appl Soft Comput 93:106390
Maldonado S, Gonzalez A, Crone S (2019) Automatic time series analysis for electric load forecasting via support vector regression. Appl Soft Comput 83:105616
Wu J, Wang Y-G, Tian Y-C, Burrage K, Cao T (2021) Support vector regression with asymmetric loss for optimal electric load forecasting. Energy 223:119969
Fan G-F, Peng L-L, Hong W-C, Sun F (2016) Electric load forecasting by the svr model with differential empirical mode decomposition and auto regression. Neurocomputing 173:958–970
Li G, Li Y, Roozitalab F (2020) Midterm load forecasting: A multistep approach based on phase space reconstruction and support vector machine. IEEE Syst J 14(4):4967–4977
Wu J, Cui Z, Chen Y, Kong D, Wang Y-G (2019) A new hybrid model to predict the electrical load in five states of australia. Energy 166:598–609
Jnr E O-N, Ziggah Y Y, Relvas S (2021) Hybrid ensemble intelligent model based on wavelet transform, swarm intelligence and artificial neural network for electricity demand forecasting. Sustainable Cit Soc 66:102679
Li J, Deng D, Zhao J, Cai D, Hu W, Zhang M, Huang Q (2020) A novel hybrid short-term load forecasting method of smart grid using mlr and lstm neural network. IEEE Transactions on Industrial Informatics
Liang Y, Niu D, Hong W-C (2019) Short term load forecasting based on feature extraction and improved general regression neural network model. Energy 166:653–663
Tang X, Dai Y, Wang T, Chen Y (2019) Short-term power load forecasting based on multi-layer bidirectional recurrent neural network. IET Gener Transmiss Distrib 13(17):3847–3854
Chitalia G, Pipattanasomporn M, Garg V, Rahman S (2020) Robust short-term electrical load forecasting framework for commercial buildings using deep recurrent neural networks. Appl Energy 278:115410
Dong Y, Ma X, Fu T (2021) Electrical load forecasting: A deep learning approach based on k-nearest neighbors. Appl Soft Comput 99:106900
Fekri M N, Patel H, Grolinger K, Sharma V (2021) Deep learning for load forecasting with smart meter data: Online adaptive recurrent neural network. Appl Energy 282:116177
Yin L, Xie J (2021) Multi-temporal-spatial-scale temporal convolution network for short-term load forecasting of power systems. Appl Energy 283:116328
Yang J, Cao J, Wang T, Xue A, Chen B (2020) Regularized correntropy criterion based semi-supervised elm. Neural Netw 122:117–129
Su B, Mu R, Long T, Li Y, Cui N (2020) Variational bayesian adaptive high-degree cubature huber-based filter for vision-aided inertial navigation on asteroid missions. IET Radar Sonar Navigation 14(9):1391–1401
Mirjalili S, Gandomi A H, Mirjalili S Z, Saremi S, Faris H, Mirjalili S M (2017) Salp swarm algorithm: A bio-inspired optimizer for engineering design problems. Adv Eng Softw 114:163–191
Wang R, Wang J, Xu Y (2019) A novel combined model based on hybrid optimization algorithm for electrical load forecasting. Appl Soft Comput 82:105548
Bo H, Nie Y, Wang J (2020) Electric load forecasting use a novelty hybrid model on the basic of data preprocessing technique and multi-objective optimization algorithm. IEEE Access 8:13858–13874
Mirjalili S, Mirjalili S M, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61
Xu J, Tan W, Li T (2020) Predicting fan blade icing by using particle swarm optimization and support vector machine algorithm. Comput Electr Eng 87:106751
Mirjalili S (2016) Dragonfly algorithm: a new meta-heuristic optimization technique for solving single-objective, discrete, and multi-objective problems. Neural Comput Appl 27(4):1053–1073
Mirjalili S (2015) The ant lion optimizer. Adv Eng Softw 83:80–98
Mirjalili S (2015) Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm. Knowl-Based Syst 89:228–249
Mirjalili S, Lewis A (2016) The whale optimization algorithm. Adv Eng Softw 95:51–67
Gao Y, Qian C, Tao Z, Zhou H, Wu J, Yang Y (2020) Improved whale optimization algorithm via cellular automata. In: 2020 IEEE International Conference on Progress in Informatics and Computing (PIC). IEEE, pp 34–39
Lu C, Gao L, Yi J (2018) Grey wolf optimizer with cellular topological structure. Expert Syst Appl 107:89–114
Ma J, Liu H, Peng C, Qiu T (2020) Unauthorized broadcasting identification: A deep lstm recurrent learning approach. IEEE Trans Instrum Meas 69(9):5981–5983
Zhang B, Tan R, Lin C-J (2020) Forecasting of e-commerce transaction volume using a hybrid of extreme learning machine and improved moth-flame optimization algorithm. Appl Intell:1–14
Ge J, Li H, Wang H, Dong H, Liu H, Wang W, Yuan Z, Zhu J, Zhang H (2019) Aeromagnetic compensation algorithm robust to outliers of magnetic sensor based on huber loss method. IEEE Sens J 19(14):5499–5505
Chen G, Li L, Zhang Z, Li S (2020) Short-term wind speed forecasting with principle-subordinate predictor based on conv-lstm and improved bpnn. IEEE Access 8:67955–67973
Zhang J, Teng Y-F, Chen W (2019) Support vector regression with modified firefly algorithm for stock price forecasting. Appl Intell 49(5):1658–1674
Acknowledgements
This work was supported by National Natural Science Foundation of China under Grants 61873130, 61833011 and 61833008, in part by the Natural Science Foundation of Jiangsu Province under Grant BK20191377 and BK20191376, in part by 1311 Talent Project of Nanjing University of Posts and Telecommunications, in part by Scientific Foundation of Nanjing University of Posts and Telecommunications (NUPTSF) under Grants NY220102, NY220194 and 2020XZZ11. Also, this work was supported by the Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS), grant number CE140100049.
Author information
Authors and Affiliations
Corresponding author
Additional information
Credit authorship contribution statement
Yang Yang: Project administration, Supervision, Investigation Zhenghang Tao: Software, Visualization, Writing - original draft. Yuchao Gao: Visualization, Writing - original draft. Chen Qian: Formal analysis, Writing - original draft Hu Zhou: Writing – review & editing. Zhe Ding: Writing- review & editing. Jinran Wu: Supervision, Project administration,Investigation, Writing – review & editing.
Declaration of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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
Yang, Y., Tao, Z., Qian, C. et al. A hybrid robust system considering outliers for electric load series forecasting. Appl Intell 52, 1630–1652 (2022). https://doi.org/10.1007/s10489-021-02473-5
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10489-021-02473-5