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A new hybrid model to foretell thermal power efficiency from energy performance certificates at residential dwellings applying a Gaussian process regression

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Abstract

An energy performance certificate (EPC) provides information on the energy performance of an energy system. The objective of this research aimed at obtaining a predictive model for early detection of thermal power efficiency (TPE) for energy conversion and preservation in buildings. This article expounds a sound and solid nonparametric Bayesian technique known as Gaussian process regression (GPR) approach, based on a set of data collected from different dwellings in an oceanic climate. Firstly, this model introduces the relevance of each predictive variable on energy performance in residential buildings. The second result refers to the statement that we can predict successfully the TPE by using this model. A coefficient of determination equal to 0.9687 was thus established in order to predict the TPE from the observed data, using the GPR approach in combination with the differential evolution (DE) optimiser. The concordance between experimental observed data and the predicted data from the best-proposed novel hybrid DE/GPR-relied model demonstrated here the adequate efficiency of this innovative approach.

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References

  1. Bourdeau M, Zhai XQ, Nefzaoui E, Guo X, Chatellier P (2019) Modelling and forecasting building energy consumption: a review of data-driven techniques. Sustain Cities Soc 48:101533

    Google Scholar 

  2. Harish VSKV, Kumar A (2016) A review on modeling and simulation of building energy systems. Renew Sust Energ Rev 56:1272–1292

    Google Scholar 

  3. European Commission (2002) Directive 2002/91/EC of the European parliament and of the council of 16 December 2002 on the energy performance of buildings, Official Journal of the European Communities

  4. Paredes-Sánchez BM, Paredes-Sánchez JP, García Nieto PJ (2020) Energy multiphase model for biocoal conversion systems by means of a nodal network. Energies 13:2728–2740

    Google Scholar 

  5. Paredes-Sánchez JP, Conde M, Gómez MA, Alves D (2018) Modelling hybrid thermal systems for district heating: a pilot project in wood transformation industry. J Clean Prod 194:726–734

    Google Scholar 

  6. Li Y, Kubicki S, Guerriero A, Rezgui Y (2019) Review of building energy performance certification schemes towards future improvement. Renew Sust Energ Rev 113:109244

    Google Scholar 

  7. Khayatian F, Sarto L, Dall’O’ G (2016) Application of neural networks for evaluating energy performance certificates of residential buildings. Energy Build 125:45–54

    Google Scholar 

  8. Son H, Kim C (2015) Early prediction of the performance of green building projects using pre-project planning variables: data mining approaches. J Clean Prod 109:144–151

    Google Scholar 

  9. Melo AP, Versage RS, Sawaya G, Lamberts R (2016) A novel surrogate model to support building energy labelling system: a new approach to assess cooling energy demands in commercial buildings. Energy Build 131:233–247

    Google Scholar 

  10. Hensen JLM, Lamberts R (2019) Building performance simulation for design and operation. Routledge, New York

    Google Scholar 

  11. de Wilde P (2018) Building performance analysis. Wiley-Blackwell, New York

    Google Scholar 

  12. Rasmussen CE (2003) Gaussian processes in machine learning: summer school on machine learning. Springer, Berlin

    Google Scholar 

  13. Ebden M (2015) Gaussian processes: a quick introduction. https://arxiv.org/pdf/1505.02965.pdf. Accessed 27 May 2020

  14. Dym H, McKean HP (2008) Gaussian processes, function theory, and the inverse spectral problem. Dover, New York

    MATH  Google Scholar 

  15. Storn R, Price K (1997) Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359

    MathSciNet  MATH  Google Scholar 

  16. Price K, Storn RM, Lampinen JA (2005) Differential evolution: a practical approach to global optimization. Springer, Berlin

    MATH  Google Scholar 

  17. Feoktistov V (2006) Differential evolution: in search of solutions. Springer, New York

    MATH  Google Scholar 

  18. Rocca P, Oliveri G, Massa A (2011) Differential evolution as applied to electromagnetics. IEEE Antennas Propag 53(1):38–49

    Google Scholar 

  19. Man K-F, Tang K-S, Kwong S (1999) Genetic algorithms: concepts and designs. Springer, New York

    MATH  Google Scholar 

  20. Haupt RL, Haupt SE (2004) Practical genetic algorithms. Wiley-Interscience, New York

    MATH  Google Scholar 

  21. Goldberg DE (2008) Genetic algorithms in search, optimization and machine learning. Dorling Kindersley Pvt Ltd, London

    Google Scholar 

  22. Eiben AE, Smith JE (2015) Introduction to evolutionary computing. Springer, New York

    MATH  Google Scholar 

  23. Kramer O (2017) Genetic algorithm essentials. Springer, Berlin

    MATH  Google Scholar 

  24. Matthies H, Strang G (1979) The solution of nonlinear finite element equations. Int J Numer Meth Eng 14(11):1613–1626

    MathSciNet  MATH  Google Scholar 

  25. Nocedal J (1980) Updating quasi-Newton matrices with limited storage. Math Comput 35(151):773–782

    MathSciNet  MATH  Google Scholar 

  26. Liu DC, Nocedal J (1989) On the limited memory BFGS method for large scale optimization. Math Program 45:503–528

    MathSciNet  MATH  Google Scholar 

  27. Byrd RH, Lu P, Nocedal J, Zhu C (1994) A limited-memory algorithm for bound constrained optimization. SIAM J Sci Comp 16:1190–1208

    MathSciNet  MATH  Google Scholar 

  28. Zhu C, Byrd RH, Lu P, Nocedal J (1997) Algorithm 778: L-BFGS–B: Fortran subroutines for large-scale bound-constrained optimization. ACM T Math Software 23(4):550–560

    MathSciNet  MATH  Google Scholar 

  29. Rao SS (2009) Engineering optimization: theory and practice. Wiley, New York

    Google Scholar 

  30. Nesterov Y (2018) Lectures on convex optimization. Springer, Berlin

    MATH  Google Scholar 

  31. Rasmussen CE, Williams CKI (2005) Gaussian processes for machine learning. The MIT Press, Cambridge

    MATH  Google Scholar 

  32. Duan Y, Cooling C, Ahn JS, Jackson C, Flint A, Eaton MD, Bluck MJ (2019) Using a Gaussian process regression inspired method to measure agreement between the experiment and CFD simulations. Int J Heat Fluid Fl 80:108497

    Google Scholar 

  33. Wang S, Zhu L, Fuh JYH, Zhang H, Yan W (2020) Multi-physics modeling and Gaussian process regression analysis of cladding track geometry for direct energy deposition. Opt Laser Eng 127:105950

    Google Scholar 

  34. Akhlaghi YG, Zhao X, Shittu S, Badiei A, Cattaneo MEGV, Ma X (2019) Statistical investigation of a dehumidification system performance using Gaussian process regression. Energ Buildings 202:109406

    Google Scholar 

  35. Alghamdi AS, Polat K, Alghoson A, Alshdadi AA, Abd El-Latif AA (2020) Gaussian process regression (GPR) based non-invasive continuous blood pressure prediction method from cuff oscillometric signals. Appl Acoust 164:107256

    Google Scholar 

  36. Li X, Yuan C, Li X, Wang Z (2020) State of health estimation for Li-Ion battery using incremental capacity analysis and Gaussian process regression. Energy 190:116467

    Google Scholar 

  37. Zeng A, Ho H, Yu Y (2020) Prediction of building electricity usage using Gaussian Process Regression. J Build Eng 28:101054

    Google Scholar 

  38. Ambrogioni L, Maris E (2019) Complex-valued Gaussian process regression for time series analysis. Signal Process 160:215–228

    Google Scholar 

  39. Cai H, Jia X, Feng J, Li W, Hsu Y, Lee J (2020) Gaussian Process Regression for numerical wind speed prediction enhancement. Renew Energ 146:2112–2123

    Google Scholar 

  40. Gao A, Liao W (2019) Efficient gravity field modeling method for small bodies based on Gaussian process regression. Acta Astronaut 157:73–91

    Google Scholar 

  41. Gonçalves IG, Echer E, Frigo E (2020) Sunspot cycle prediction using warped Gaussian process regression. Adv Space Res 65(1):677–683

    Google Scholar 

  42. Sarkar D, Contal E, Vayatis N, Dias F (2016) Prediction and optimization of wave energy converter arrays using a machine learning approach. Renew Energ 97:504–517

    Google Scholar 

  43. Zhang J, Taflanidis AA, Scruggs JT (2020) Surrogate modeling of hydrodynamic forces between multiple floating bodies through a hierarchical interaction decomposition. J Comput Phys 408:109298

    MathSciNet  Google Scholar 

  44. Zhao H, Magoulès F (2012) A review on the prediction of building energy consumption. Renew Sustain Energy Rev 16:3586–3592

    Google Scholar 

  45. Ahmad T, Chen H (2020) A review on machine learning forecasting growth trends and their real-time applications in different energy systems. Sustain Cities Soc 54:102010

    Google Scholar 

  46. Jovanovic RZ, Sretenovic AA, Zivkovic BD (2015) Ensemble of various neural networks for prediction of heating energy consumption. Energy Build 94:189–199

    Google Scholar 

  47. Rampazzo M, Lionello M, Beghi A, Sisti E, Cecchinato L (2019) A static moving boundary modelling approach for simulation of indirect evaporative free cooling systems. Appl Energ 250:1719–1728

    Google Scholar 

  48. Chou JS, Bui DK (2014) Modeling heating and cooling loads by artificial intelligence for energy-efficient building design. Eng Build 82:437–446

    Google Scholar 

  49. Ahmad AS, Hassan MY, Abdullah MP, Rahman HA, Hussin F, Abdullah H, Saidur R (2014) A review on applications of ANN and SVM for building electrical energy consumption forecasting. Renew Sustain Energy Rev 33:102–109

    Google Scholar 

  50. Aydinalp-Koksal M, Ugursal VI (2008) Comparison of neural network, conditional demand analysis, and engineering approaches for modeling end-use energy consumption in the residential sector. Appl Eng 85:271–296

    Google Scholar 

  51. Amasyali K, El-Gohary NM (2018) A review of data-driven building energy consumption prediction studies. Renew Sustain Eng Rev 81:1192–1205

    Google Scholar 

  52. Yoon YR, Moon HJ (2018) Energy consumption model with energy use factors of tenants in commercial buildings using Gaussian process regression. Energy Build 168:215–224

    Google Scholar 

  53. Gray FM, Schmidt M (2016) Thermal building modelling using Gaussian processes. Energy Build 119:119–128

    Google Scholar 

  54. Mustapa RF, Dahlan NY, Yassin AIM, Nordin AHM (2020) Quantification of energy savings from an awareness program using NARX-ANN in an educational building. Energy Build 215:109899

    Google Scholar 

  55. Asturian Energy Foundation (FAEN) (2020) Technical report. http://www.faen.es/ceee/estadisticas/ceee_estadisticas_municipios.html. Accessed 29 May 2020

  56. Spanish Institute for Diversification and Energy Saving (IDAE) (2019) Technical software. https://energia.gob.es/desarrollo/EficienciaEnergetica/CertificacionEnergetica/DocumentosReconocidos/Paginas/procedimientos-certificacion-proyecto-terminados.aspx. Accessed 26 May 2020

  57. Rychlik I, Johannesson P, Leadbetter MR (1997) Modelling and Statistical Analysis of ocean-wave data using transformed Gaussian processes. Mar Struct 10(1):13–47

    Google Scholar 

  58. Bishop CM (2011) Pattern recognition and machine learning. Springer, New York

    MATH  Google Scholar 

  59. Li M, Sadoughi M, Hu Z, Hu C (2020) A hybrid Gaussian process model for system reliability analysis. Reliab Eng Syst Safe 197:106816

    Google Scholar 

  60. Daemi A, Kodamana H, Huang B (2019) Gaussian process modelling with Gaussian mixture likelihood. J Process Contr 81:209–220

    Google Scholar 

  61. Ciaburro G (2017) MATLAB for machine learning. Packt Publishing, Birmingham

    Google Scholar 

  62. Lantz B (2019) Machine learning with R: expert techniques for predictive modeling. Packt Publishing, Birmingham

    Google Scholar 

  63. Simon D (2013) Evolutionary optimization algorithms. Wiley, New York

    Google Scholar 

  64. Yang X, Cui Z, Xiao R, Gandomi AH, Karamanoglu M (2013) Swarm intelligence and bio-inspired computation: theory and applications. Elsevier, London

    Google Scholar 

  65. Liu J, Lampinen J (2002) On setting the control parameter of the differential evolution method. In: Proceedings of the 8th international conference on soft computing, MENDEL, Brno, Czech Republic, pp 11–18

  66. Knafl GJ, Ding K (2016) Adaptive regression for modeling nonlinear relationships. Springer, Berlin

    MATH  Google Scholar 

  67. McClave JT, Sincich TT (2016) Statistics. Pearson, New York

    MATH  Google Scholar 

  68. GPy (2014) A Gaussian process framework in python. http://github.com/SheffieldML/GPy. Accessed 25 May 2014

  69. Stone JV (2016) Bayes’ rule with python: a tutorial introduction to Bayesian analysis. Sebtel Press, London

    Google Scholar 

  70. Seeger M (2000) Bayesian model selection for support vector machines, Gaussian processes and other kernel classifiers. In: NIPS’99 Proceedings of the 12th International Conference on Neural Information Processing Systems, MIT Press, Cambridge, MA, USA, vol. 12, pp 603–609

  71. Piironen J, Vehtari A (2016) Projection predictive model selection for Gaussian processes. IEEE 26th International Workshop on Machine Learning for Signal Processing (MLSP). IEEE Publisher, Vietri sul Mare, pp 1–6

    Google Scholar 

  72. Paananen T, Piironen J, Andersen MR, Vehtari A (2019) Variable selection for Gaussian processes via sensitivity analysis of the posterior predictive distribution. In: Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics (AISTATS), Proceedings of Machine Learning Research (PMLR), Naha, Okinawa, Japan, pp 1743–1752

  73. Ye H, Ren Q, Hu X, Lin T, Shi L, Zhang G, Li X (2018) Modeling energy-related CO2 emissions from office buildings using general regression neural network. Resour Conserv Recy 129:168–174

    Google Scholar 

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Acknowledgements

The authors gratefully acknowledge the computational help supplied by the Department of Mathematics at University of Oviedo and financial help of the Research Projects PGC2018-098459-B-I00 and FC-GRUPIN-IDI/2018/000221, both partial funding from European Regional Development Fund (ERDF). In this sense, the authors acknowledge the collaboration based on the Research Project FUO-118-19. Likewise, it is mandatory to thank Anthony Ashworth their revision of English grammar and spelling of this article.

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Correspondence to Paulino José García-Nieto.

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García-Nieto, P.J., García-Gonzalo, E., Paredes-Sánchez, J.P. et al. A new hybrid model to foretell thermal power efficiency from energy performance certificates at residential dwellings applying a Gaussian process regression. Neural Comput & Applic 33, 6627–6640 (2021). https://doi.org/10.1007/s00521-020-05427-z

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