Non-linear mixed-effects models for time series forecasting of smart meter demand

被引:263
|
作者
Roach, Cameron [1 ]
Hyndman, Rob [1 ]
Ben Taieb, Souhaib [2 ]
机构
[1] Monash Univ, Dept Econometr & Business Stat, Clayton, Vic, Australia
[2] Univ Mons, Dept Comp Sci, Mons, Belgium
关键词
electricity; energy; mixed‐ effects models; smart meters; time series forecasting;
D O I
10.1002/for.2750
中图分类号
F [经济];
学科分类号
02 ;
摘要
Buildings are typically equipped with smart meters to measure electricity demand at regular intervals. Smart meter data for a single building have many uses, such as forecasting and assessing overall building performance. However, when data are available from multiple buildings, there are additional applications that are rarely explored. For instance, we can explore how different building characteristics influence energy demand. If each building is treated as a random effect and building characteristics are handled as fixed effects, a mixed-effects model can be used to estimate how characteristics affect energy usage. In this paper, we demonstrate that producing 1-day-ahead demand predictions for 123 commercial office buildings using mixed models can improve forecasting accuracy. We experiment with random intercept, random intercept and slope and non-linear mixed models. The predictive performance of the mixed-effects models are tested against naive, linear and non-linear benchmark models fitted to each building separately. This research justifies using mixed models to improve forecasting accuracy and to quantify changes in energy consumption under different building configuration scenarios.
引用
收藏
页码:1118 / 1130
页数:13
相关论文
共 50 条
  • [41] Distributed Bayesian Inference in Linear Mixed-Effects Models
    Srivastava, SanveshB
    Xu, Yixiang
    JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2021, 30 (03) : 594 - 611
  • [42] Fisher information matrix for non-linear mixed-effects models:: evaluation and application for optimal design of enoxaparin population pharmacokinetics
    Retout, S
    Mentré, F
    Bruno, R
    STATISTICS IN MEDICINE, 2002, 21 (18) : 2623 - 2639
  • [43] Frequentist model averaging for linear mixed-effects models
    Xinjie Chen
    Guohua Zou
    Xinyu Zhang
    Frontiers of Mathematics in China, 2013, 8 : 497 - 515
  • [44] Evaluating significance in linear mixed-effects models in R
    Steven G. Luke
    Behavior Research Methods, 2017, 49 : 1494 - 1502
  • [45] New variable selection for linear mixed-effects models
    Wu, Ping
    Luo, Xinchao
    Xu, Peirong
    Zhu, Lixing
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2017, 69 (03) : 627 - 646
  • [46] Non-linear mixed effects models for the evaluation of dissolution profiles
    Adams, E
    Coomans, D
    Smeyers-Verbeke, J
    Massart, DL
    INTERNATIONAL JOURNAL OF PHARMACEUTICS, 2002, 240 (1-2) : 37 - 53
  • [47] Financial time series forecasting using non-linear methods and Stacked Autoencoders
    Reiszel Pereira, Danilo Filippo
    de Moura Junior, Natanael Nunes
    Caloba, Luiz Pereira
    2018 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2018,
  • [48] A Newton procedure for conditionally linear mixed-effects models
    Shelley A. Blozis
    Behavior Research Methods, 2007, 39 : 695 - 708
  • [49] New variable selection for linear mixed-effects models
    Ping Wu
    Xinchao Luo
    Peirong Xu
    Lixing Zhu
    Annals of the Institute of Statistical Mathematics, 2017, 69 : 627 - 646
  • [50] Frequentist model averaging for linear mixed-effects models
    Chen, Xinjie
    Zou, Guohua
    Zhang, Xinyu
    FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (03) : 497 - 515