Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior

The use of grey-box models for short-time forecasting of buildings’ thermal behavior requires the determination of the models’ order since this order could influence the grey-box models’ performance. This paper presents an analysis of the optimal order of these models f...

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Main Authors: Nivine Attoue, Isam Shahrour, Hussein Mroueh, Rafic Younes
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/9/9/198
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author Nivine Attoue
Isam Shahrour
Hussein Mroueh
Rafic Younes
author_facet Nivine Attoue
Isam Shahrour
Hussein Mroueh
Rafic Younes
author_sort Nivine Attoue
collection DOAJ
description The use of grey-box models for short-time forecasting of buildings’ thermal behavior requires the determination of the models’ order since this order could influence the grey-box models’ performance. This paper presents an analysis of the optimal order of these models for different thermal conditions. The novelty of this work consists of considering the influence of the heating conditions on the determination of the performances of grey-box models. The analysis is based on experimental tests that were conducted in a room with different thermal conditions, related to the variation of the heating power. Experimental results were used for the determination of the optimal grey-box models’ order that minimizes the gap between the experimental results and the grey-box forecasting. Results show that the optimal grey-box models’ order depends on the buildings’ thermal conditions, but generally lies between two and three with an error less than 0.2 °C and a fit percent greater than 90%.
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spelling doaj.art-7b72a252c8924a128e8909d4bafe14992022-12-22T00:40:28ZengMDPI AGBuildings2075-53092019-08-019919810.3390/buildings9090198buildings9090198Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal BehaviorNivine Attoue0Isam Shahrour1Hussein Mroueh2Rafic Younes3Laboratory of civil engineering and geo-environment, Lille University, 59650 Villeneuve d’Ascq, FranceLaboratory of civil engineering and geo-environment, Lille University, 59650 Villeneuve d’Ascq, FranceLaboratory of civil engineering and geo-environment, Lille University, 59650 Villeneuve d’Ascq, FranceModeling Center, Lebanese University, Hadath 99000, LebanonThe use of grey-box models for short-time forecasting of buildings’ thermal behavior requires the determination of the models’ order since this order could influence the grey-box models’ performance. This paper presents an analysis of the optimal order of these models for different thermal conditions. The novelty of this work consists of considering the influence of the heating conditions on the determination of the performances of grey-box models. The analysis is based on experimental tests that were conducted in a room with different thermal conditions, related to the variation of the heating power. Experimental results were used for the determination of the optimal grey-box models’ order that minimizes the gap between the experimental results and the grey-box forecasting. Results show that the optimal grey-box models’ order depends on the buildings’ thermal conditions, but generally lies between two and three with an error less than 0.2 °C and a fit percent greater than 90%.https://www.mdpi.com/2075-5309/9/9/198grey-box modeloptimal orderbuilding thermal conditionsperformance
spellingShingle Nivine Attoue
Isam Shahrour
Hussein Mroueh
Rafic Younes
Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior
Buildings
grey-box model
optimal order
building thermal conditions
performance
title Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior
title_full Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior
title_fullStr Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior
title_full_unstemmed Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior
title_short Determination of the Optimal Order of Grey-Box Models for Short-Time Prediction of Buildings’ Thermal Behavior
title_sort determination of the optimal order of grey box models for short time prediction of buildings thermal behavior
topic grey-box model
optimal order
building thermal conditions
performance
url https://www.mdpi.com/2075-5309/9/9/198
work_keys_str_mv AT nivineattoue determinationoftheoptimalorderofgreyboxmodelsforshorttimepredictionofbuildingsthermalbehavior
AT isamshahrour determinationoftheoptimalorderofgreyboxmodelsforshorttimepredictionofbuildingsthermalbehavior
AT husseinmroueh determinationoftheoptimalorderofgreyboxmodelsforshorttimepredictionofbuildingsthermalbehavior
AT raficyounes determinationoftheoptimalorderofgreyboxmodelsforshorttimepredictionofbuildingsthermalbehavior