Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation

It is challenging to apply heat flow through a thermal bridge, which requires the analysis of 2D or 3D heat transfer to building energy simulation (BES). Research on the dynamic analysis of thermal bridges has been underway for many years, but their utilization remains low in BESs. This paper propos...

Full description

Bibliographic Details
Main Authors: Heegang Kim, Myoungsouk Yeo
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/17/4422
_version_ 1797555390019272704
author Heegang Kim
Myoungsouk Yeo
author_facet Heegang Kim
Myoungsouk Yeo
author_sort Heegang Kim
collection DOAJ
description It is challenging to apply heat flow through a thermal bridge, which requires the analysis of 2D or 3D heat transfer to building energy simulation (BES). Research on the dynamic analysis of thermal bridges has been underway for many years, but their utilization remains low in BESs. This paper proposes a thermal bridge modeling and a dynamic analysis method that can be easily applied to BESs. The main idea begins with an analogy of the steady-state analysis of thermal bridges. As with steady-state analysis, the proposed method first divides the thermal bridge into a clear wall, where the heat flow is uniform, and the sections that are not the clear wall (the thermal bridge part). For the clear wall part, the method used in existing BESs is applied and analyzed. The thermal bridge part (TB part) is modeled with the linear time-invariant system (LTI system) and the system identification process is performed to find the transfer function. Then, the heat flow is obtained via a linear combination of the two parts. This method is validated by comparing the step, sinusoidal and annual outdoor temperature response of the finite differential method (FDM) simulation. When the thermal bridge was modeled as a third-order model, the root mean square error (RMSE) of annual heat flow with the FDM solution of heat flow through the entire wall was about 0.1 W.
first_indexed 2024-03-10T16:46:48Z
format Article
id doaj.art-4c8f9ae128434e23a6c99b65124370d9
institution Directory Open Access Journal
issn 1996-1073
language English
last_indexed 2024-03-10T16:46:48Z
publishDate 2020-08-01
publisher MDPI AG
record_format Article
series Energies
spelling doaj.art-4c8f9ae128434e23a6c99b65124370d92023-11-20T11:31:47ZengMDPI AGEnergies1996-10732020-08-011317442210.3390/en13174422Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and ValidationHeegang Kim0Myoungsouk Yeo1Department of Architecture and Architectural Engineering, Seoul National University, Seoul 08826, KoreaDepartment of Architecture and Architectural Engineering, Seoul National University, Seoul 08826, KoreaIt is challenging to apply heat flow through a thermal bridge, which requires the analysis of 2D or 3D heat transfer to building energy simulation (BES). Research on the dynamic analysis of thermal bridges has been underway for many years, but their utilization remains low in BESs. This paper proposes a thermal bridge modeling and a dynamic analysis method that can be easily applied to BESs. The main idea begins with an analogy of the steady-state analysis of thermal bridges. As with steady-state analysis, the proposed method first divides the thermal bridge into a clear wall, where the heat flow is uniform, and the sections that are not the clear wall (the thermal bridge part). For the clear wall part, the method used in existing BESs is applied and analyzed. The thermal bridge part (TB part) is modeled with the linear time-invariant system (LTI system) and the system identification process is performed to find the transfer function. Then, the heat flow is obtained via a linear combination of the two parts. This method is validated by comparing the step, sinusoidal and annual outdoor temperature response of the finite differential method (FDM) simulation. When the thermal bridge was modeled as a third-order model, the root mean square error (RMSE) of annual heat flow with the FDM solution of heat flow through the entire wall was about 0.1 W.https://www.mdpi.com/1996-1073/13/17/4422thermal bridgemodeling and dynamic analysissystem identification
spellingShingle Heegang Kim
Myoungsouk Yeo
Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation
Energies
thermal bridge
modeling and dynamic analysis
system identification
title Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation
title_full Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation
title_fullStr Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation
title_full_unstemmed Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation
title_short Thermal Bridge Modeling and a Dynamic Analysis Method Using the Analogy of a Steady-State Thermal Bridge Analysis and System Identification Process for Building Energy Simulation: Methodology and Validation
title_sort thermal bridge modeling and a dynamic analysis method using the analogy of a steady state thermal bridge analysis and system identification process for building energy simulation methodology and validation
topic thermal bridge
modeling and dynamic analysis
system identification
url https://www.mdpi.com/1996-1073/13/17/4422
work_keys_str_mv AT heegangkim thermalbridgemodelingandadynamicanalysismethodusingtheanalogyofasteadystatethermalbridgeanalysisandsystemidentificationprocessforbuildingenergysimulationmethodologyandvalidation
AT myoungsoukyeo thermalbridgemodelingandadynamicanalysismethodusingtheanalogyofasteadystatethermalbridgeanalysisandsystemidentificationprocessforbuildingenergysimulationmethodologyandvalidation