Accepted Manuscript Title: Thermal Performance Investigation and Optimization of Buildings with Integrated Phase Change Materials and Solar Photovoltaic Thermal Collectors Author: Wenye Lin Zhenjun Ma Paul Cooper M. Imroz Sohel Luwei Yang PII: DOI: Reference:
S0378-7788(16)30040-8 http://dx.doi.org/doi:10.1016/j.enbuild.2016.01.041 ENB 6415
To appear in:
ENB
Received date: Revised date: Accepted date:
27-10-2015 14-1-2016 29-1-2016
Please cite this article as: W. Lin, Z. Ma, P. Cooper, M.I. Sohel, L. Yang, Thermal Performance Investigation and Optimization of Buildings with Integrated Phase Change Materials and Solar Photovoltaic Thermal Collectors, Energy and Buildings (2016), http://dx.doi.org/10.1016/j.enbuild.2016.01.041 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
Thermal Performance Investigation and Optimization of Buildings with
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Integrated Phase Change Materials and Solar Photovoltaic Thermal
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Collectors
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Wenye Lin1, Zhenjun Ma*,1, Paul Cooper1, M. Imroz Sohel1, Luwei Yang2
Sustainable Buildings Research Centre (SBRC), University of Wollongong, New South Wales, 2522, Australia
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Technical Institute of Physics and Chemistry (TIPC), Chinese Academy of Sciences (CAS),
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Beijing, 100190, China
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*Corresponding Author: Phone: 61 02 4221 4143; Email:
[email protected]
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Abstract: This paper presents the thermal performance investigation and optimization of
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buildings with integrated phase change materials (PCMs) and solar photovoltaic thermal
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(PVT) collectors. PCMs are embedded into building envelopes to increase local thermal mass
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while PVT collectors are used to generate both electricity and low grade thermal energy for
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winter space heating. The thermal performance of a typical Australian house with PVT
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collectors and three different types of PCMs is simulated and analyzed by comparing with
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that of the house using PVT collectors only, using PCMs only, and without using PVT
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collectors and PCMs. The results showed that using PVT collectors and PCMs
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simultaneously can substantially improve the indoor thermal performance of the house. The
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Coefficients of Thermal Performance Enhancement (CTPE) of the house using PVT
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collectors and PCMs of RT18HC, SP21E and SP24E with a thickness of 20 mm were
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improved to 43.4, 48.8 and 46.2% respectively, compared to that of the house using the
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PCMs only (-9.1, 2.6 and 0.2% for RT18HC, SP21E and SP24E, respectively). The CTPE of
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the house can be increased to 70.2% if Taguchi method is used to determine the optimal air
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flow rate of PVT collectors, thickness of PCM layers, PCM type and additional wall
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insulation. The optimization results also showed that the additional wall insulation of the
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house was a critical factor affecting the thermal performance of the PCM enhanced buildings
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with PVT collectors.
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Keywords: Photovoltaic thermal collectors; Phase change materials; Thermal performance
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enhancement; Taguchi method; Optimization
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Nomenclature
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A
heat transfer area (m2)
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CTPE
Coefficient of Thermal Performance Enhancement
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cp
specific heat capacity [J/(kg·K)]
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Gt
total solar radiation (W/m2)
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h
specific enthalpy (J/kg)
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hamb
convective heat transfer coefficient between ambient and exterior surface of
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d
building envelopes [W/(m2·K)]
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IAM
incident angle modifier
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m
mass (kg)
te
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n
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Nf,s
Ac ce p
air mass flow rate (kg/s)
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number of observations in a trail test
number of factors which significantly affect the objective response heat flow rate (W)
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heat flux (W/m2)
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S/N
signal to noise ratio (dB)
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T
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Ts
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Tl
upper temperature limit of the hysteresis region
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t
time (s)
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tot
total time of concern (s)
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W
width (m)
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x
the coordinate direction along the PVT length
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y
objective response
temperature (oC)
lower temperature limit of the hysteresis region
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Greek letters
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ηp
electrical efficiency
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ρref
reflectance of PV panel
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φ
weighting factor
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Subscripts
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amb
ambient
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c
convective
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cooling
cooling curve of PCM h-T relationship
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eq
equivalent
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f
working fluid
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f-r
direction from the working fluid to the roof insulation
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heating
heating curve of PCM h-T relationship
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L
heat loss
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l
liquid
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opt
optimal level
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p
PV panel
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pre
prediction
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p-f
direction from PV panel to working fluid
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p-r
direction from PV panel to roof insulation
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r
roof insulation, or long wave radiation
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rs
roof space
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r-rs
direction from the roof insulation to the roof space
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s
solid
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Superscripts
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k
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time step
1. Introduction
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Energy consumption of the building sector represents over 40% of the primary energy
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usage in many International Energy Agency (IEA) member countries [1]. A significant
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proportion of this consumption was due to the ever growing demand for better indoor thermal
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comfort [2, 3]. With the population increase and economic growth, energy use in buildings is
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predicted to continue to increase [2]. Many efforts have therefore been made on the 3
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development and deployment of low energy technologies and cost effective solutions to
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promote building energy efficiency and sustainability [4-7]. Solar photovoltaic thermal (PVT) collectors, which can generate electricity and low grade
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thermal energy simultaneously, have attracted increasing attention [8, 9]. The utilization of
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the low grade thermal energy generated by PVT collectors may provide an alternative
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solution for effective space heating and other functional purposes, and can thereby reduce
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building energy consumption. Air-based PVT collectors can generate hot air which can be
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used for direct space heating or can be ducted into Heating, Ventilation and Air Conditioning
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(HVAC) units for pre-conditioning the ventilation air. Shahsavar et al. [10], for instance,
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proposed a building integrated photovoltaic thermal (BIPVT) setup to pre-heat the incoming
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ventilation air prior to entering the air handling unit (AHU) in winter and to cool the PV
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panels by using the exhaust air from the building in summer. A PVT-heat pump hybrid system
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was described by Bazilian et al. [11], in which the heated air from the PVT collectors was
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used as the heat source of the heat pump in winter. Kamthania et al. [12] evaluated the
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performance of a hybrid PVT double pass facade for space heating. The results showed that
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the room temperature in a typical winter day was 5-6oC higher than the ambient air
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temperature. However, the use of PVT alone is hard to continuously control building indoor
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thermal comfort as solar energy is intermittent [11].
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To overcome the intermittence of solar energy, the integration of phase change materials
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(PCMs) with PVT collectors may provide an alternative approach to maximizing the
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utilization of solar energy and improving the building thermal performance. PCMs with high
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energy storage densities and the characteristics to store thermal energy at a relatively constant
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temperature have been recognized as one of sustainable and environmentally-friendly
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technologies to reduce building energy consumption and provide better indoor thermal
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comfort [13, 14]. PCMs can be incorporated with building envelopes to increase building
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thermal mass to reduce the indoor temperature fluctuations of passive buildings and HVAC
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energy consumption of active buildings [15, 16]. PCMs can also be integrated with building
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HVAC systems as thermal energy storage units to provide functional purposes and enhance
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the system efficiency [17, 18]. For instance, using PCMs in brick constructive solutions for
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passive cooling was experimentally studied by Castell et al. [15]. Zhu et al. [16] reported the
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optimal control of air conditioned buildings with envelopes enhanced by PCMs. A PCM-
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based variable air volume (VAV) air conditioning system was proposed by Parameshwaran et
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al. [17], in which a storage tank with spherical PCM encapsulations was used to reduce the
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peak electricity consumption of the air conditioning system.
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A number of studies have also reported the use of PCMs beneath the PV panels for
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thermal regulation [19, 20], and the integration of PCMs with PVT collectors for space air
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conditioning [20, 21]. Huang [20], for example, examined the effect of using two PCMs on
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the thermal regulation of a building integrated PV system. The results showed that the solar-
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to-electrical conversion efficiency was improved due to the use of PCMs. Fiorentini et al. [21]
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reported the development and implementation of an innovative air conditioning system
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integrated with an air-based PVT collector and a PCM thermal storage. The thermal energy
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collected from the PVT collector can be temporarily stored in the PCM storage and used later
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for space air conditioning or can be directly used to condition the indoor space or
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precondition the ventilation air. A ceiling ventilation system integrated with PVT collectors
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and PCMs was studied by Lin et al. [22], in which the PCM was integrated into the ceiling as
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part of the ceiling insulation and, at the same time, as a centralized thermal storage to
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temporarily store the low grade thermal energy generated by the PVT collectors. The results
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obtained from the above studies showed that PVT and PCM integrated systems are effective
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in building thermal management if they are appropriately designed and optimized.
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Many studies have demonstrated that appropriate optimization is essential to maximize
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the performance of various engineering systems [23, 24]. Taguchi method as an experimental
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optimization technique using the orthogonal array to form a matrix of experiments for robust
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design [25, 26], has been extensively used for experimental design and determination of the
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optimal combination of multiple influential factors. For instance, Kuo et al. [27] used
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Taguchi method to optimize the multiple design parameters of a flat-plate solar collector
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process for manufacturing. Yi et al. [28] optimized the building configuration in the
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schematic phase by using Taguchi method to achieve maximum energy and emergy benefits.
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Taguchi method was also used for parameter optimization of a solar assisted ground source
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heat pump system [25, 26].
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Although there are many studies in the public domain on the use of PCMs in building
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envelopes and PVT collectors in buildings, it seems that the potential benefits of using PVT
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collectors in buildings with envelopes enhanced by PCMs have not been reported. This paper
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therefore presents the investigation on the use of the heated air derived from PVT collectors
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(named as PVT ventilation hereafter) to enhance the thermal performance of passive
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buildings (i.e. without using air-conditioning systems and/or other conventional heating
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devices) with PCMs integrated in the envelopes (named as PCM enhanced buildings in this
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study). Based on the results of the thermal performance investigation, Taguchi method is used
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to further optimize the performance of PCM enhanced buildings with PVT ventilation by
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identifying the near optimal levels of the influential factors, such as PVT air flow rate, PCM
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type and PCM thickness. The thermal performance investigation and optimization were
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carried out based on a typical Australian house using TRNSYS simulation program [29].
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2. Building Description and Research Methodology
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2.1 Building description
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The case building concerned in this study is one of the ‘typical’ Australian dwelling
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designs that were considered as being ‘representative’ of the Australian residential building
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stock since 5 and 6 star regulations were introduced [30]. It is assumed that there are no air-
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conditioning systems and/or other conventional heating devices used in this case building.
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The floor plan of the house is shown in Fig. 1. The major specifications of the house
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envelopes are summarized in Table 1.
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In this study, it is also assumed that the air-based PVT collectors with a total area of 110
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m2 were installed on the whole north roof of the house with a roof angle of 22.5o, while the
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PCM layers were integrated into all the walls and ceiling of the house, as illustrated in Fig. 2.
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During the winter daytime, the heated air from the PVT collectors is directed into the house
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for space heating if the air temperature is higher than the indoor temperature. While during
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the night-time, the fan of the PVT system is switched off. As the major benefits of using the
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low grade heat derived from air-based PVT collectors is for space heating, the thermal
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performance analysis of the PCM enhanced building with PVT ventilation therefore focused
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on the winter heating conditions in this study, although night-time radiative cooling effect of
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PVT collectors in summer can also improve the thermal performance of PCM enhanced
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buildings.
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2.2 Outline of the research method
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The overall procedure employed to evaluate and optimize the thermal performance of
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PCM enhanced buildings with PVT ventilation is illustrated in Fig. 3. Based on the modelling
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system setup, a range of the test cases with different types of PCMs and various thicknesses
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of the PCM layers, as well as using or without using PVT ventilation were designed. The
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thermal performance of the house with each case was then simulated and compared with that
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of the baseline case without using the PVT ventilation and PCMs. According to the overall
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test results, further optimization using Taguchi method was conducted to improve the thermal
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benefits by using the PVT ventilation and PCMs in building envelopes. Finally, the
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confirmation test of using the optimal combination of the factors was conducted. The design
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of the test cases and the descriptions of the key performance indicator and Taguchi method
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are briefly presented in below sections.
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2.3 Design of the test cases A range of test cases, as summarized in Table 2, were first designed and tested to
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compare and evaluate the thermal performance of the PCM enhanced buildings with or
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without using the PVT ventilation. In these test cases, three different types of PCMs and four
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different thicknesses of the PCM layers were used. The PCMs considered were commercial
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PCMs from Rubitherm [31], including the organic PCM of RT18HC, and the inorganic PCMs
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of SP24E and SP21E.
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The thermo-physical properties of the three types of PCMs used are summarized in
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Table 3. The phase change temperature ranges of these three selected PCMs are close to the
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indoor thermal comfort temperature range. SP24E represents the PCMs whose phase change
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temperature is close to the upper limit of the thermostat temperature setting, and RT18HC has
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a phase change temperature close to the lower limit of the thermostat temperature setting. The
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phase change temperature of SP21E is close to the mean value of the upper and lower limits
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of the thermostat setting temperature. The thicknesses of the PCM layers tested were 5, 10,
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20 and 30 mm, respectively. In these test cases, the air mass flow rate of the PVT collectors
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used was 2000 kg/h. It is noteworthy that this study was mainly focused on the thermal
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performance enhancement of the house in terms of the indoor temperature variation. The
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effect of the air velocity on human thermal comfort was not considered.
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2.4 Description of the key performance indicator
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In order to evaluate the thermal performance of the PCM enhanced building with the
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PVT ventilation, a performance indicator, named as Coefficient of Thermal Performance
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Enhancement (CTPE), as shown in Eq. (1), slightly modified from a previous study [22], was
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used to facilitate the performance analysis. The thermal performance of the house without
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using the PVT ventilation and PCMs was used as the baseline condition and its CTPE was set
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as zero. It is worthwhile to note that only the lower limit of the indoor thermal comfort setting
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was used for the winter space heating conditions. However, the use of PVT ventilation may
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cause the overheating of the house in winter, which was not considered in this study. The
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integration term in the equation indicates that the sum of the shaded area below the lower
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limit of the thermal comfort temperature setting (Tsetting,low) illustrated in Fig. 4. tot
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indoor
0
tot
indoor
0
]
− Tsetting,low ) }dt
]
− Tsetting,low ) }dt
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∫ {− min[0, (T CTPE = 1 − ∫ {− min[0, (T
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(1)
where, Tindoor is the indoor air temperature, t is the time, and tot is the total time of concern.
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2.5 Description of Taguchi method
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Taguchi method is used to design the matrix of experiments for robust design of a system
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or process. Analysis of variance (ANOVA) and signal-to-noise (S/N) ratio are used for data
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analysis [32]. ANOVA is commonly applied to investigate the response significance of
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individual factors and identify the percentage contribution of each factor to the objective
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function. Based on the factors with high percentage contributions, the optimal performance of
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the system or process can be predicted by using Eq. (2) [33]. The sum of squares of factors,
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pure sum of squares of factors, variance of factors and percentage contribution of factors are
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the key statistic parameters used in ANOVA. The details on how to calculate these parameters
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can be found in Ref. [34].
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f ,s ) y pre = y + ∑ ( yopt,i − y )
N
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(2)
i =1
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where,
is the predicted response of the objective function, Nf,s is the number of the
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factors which significantly affect the objective response,
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responses of all experiments,
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factor at the corresponding optimal level. The importance of the factors is ranked by the
is the mean value of the objective
is the mean value of the objective responses of the ith
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percentage contribution. In Taguchi method, S/N ratio, a statistic for performance measurement combining the
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information of mean and variance [35], is often used to identify the most robust combination
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of the levels of individual factors. The combination of the factor levels is regarded as the near
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optimal parameters for the system or process of concern, according to which, the near optimal
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system or process performance can be achieved. In this study, the Coefficient of Thermal
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Performance Enhancement is used as the quality characteristic, and the higher-the-better, as
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illustrated in Eq. (3), is selected to calculate the S/N ratio.
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1 n 1 1 n 1 S / N = −10 log ∑ 2 = −10 log ∑ n j =1 y n j =1 CTPE 2 j j
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(3)
where, y is the objective response, n is the number of the observations in a trail test, and the
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subscript j is the jth observed value of the CTPE. The importance of the factors can be ranked
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by the difference between maximal and minimal S/N ratios of different factor levels.
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3. Model Description
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3.1 House model and PVT model
d te
To simplify the simulation, the house was modelled with two thermally separated zones
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(i.e. roof space and room space) using Google SketchUp and then imported into the TRNSYS
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Type 56 Multi-zone building component model.
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The PVT model used was a slightly updated dynamic model developed in a previous
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study [36]. The key governing equations used are presented in Eqs. (4)-(6). By using this
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PVT model, the outlet air temperature, the PV panel temperature and roof insulation
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temperature, electrical power generation and thermal energy collected can be easily
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determined.
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m& c p, f
dTf dx
= Wp (q& p− f − q& f −r )
(4)
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mp c p, p
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mr c p , r
dTp dt
= (1− ρref )⋅ IAM ⋅ (1 −η p )⋅ A ⋅ Gt − Q& L − Q& p− f − Q& p−r
(5)
dTr = Q& p −r + Q& f −r − Q& r −rs dt
(6)
where,
is the air mass flow rate, cp is the specific heat capacity, m is the mass, A is the heat
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transfer area, ρref is the reflectance of the PV panel, IAM is the incident angle modifier, Gt is
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the total solar radiation on the PV panel, ηp is the electrical efficiency, W is the width of the
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PVT collector,
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the PVT length, the subscripts f, p, r, L and rs indicate the working fluid, PV panel, roof
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insulation, heat loss and roof space, and subscripts p-f, p-r, f-r, r-rs indicate the heat transfer
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directions from the PV panel to the working fluid, from the PV panel to the roof insulation,
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from the working fluid to the roof insulation, and from the roof insulation to the roof space,
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respectively.
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3.2 Envelope-integrated PCM model
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is the heat flow rate, x is the coordinate direction along
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is the heat flux,
In order to integrate the PCM model within the house model, the corresponding
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envelopes in the house model were reduced to a single layer of the plasterboard, while the
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brick (or the external plasterboard layer of the ceiling) and additional insulation layer of the
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original house model were transplanted into the PCM model, as illustrated in Fig. 5. The
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PCM model integrated with the transplanted brick layer (or the extra plasterboard of the
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ceiling) and additional insulation layer is named as envelope-integrated PCM model hereafter.
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The envelope-integrated PCM model was developed using the finite difference method based
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on an enhanced enthalpy method, in which the heat transfer from outdoor and the heat flux
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through the building plasterboard layer were used as the exterior and interior boundary
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conditions, respectively. The governing equations of the energy balance can be obtained and
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discretised, based on the assumptions employed below.
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The dominant heat transfer within the envelopes is one-dimensional thermal conduction; 11
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The shrinkage cavity caused due to the density change during the phase change process is
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considered to be evenly distributed within each PCM element [37];
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The additional insulation layer is considered as a massless layer with the pure thermal
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resistance as only R-value of the additional insulation was provided in the ‘typical’
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Australian passive dwelling designs [30];
289
The PCM hysteresis phenomenon was simulated based on the method presented by Bony
290
and Cithelet [38] with separated heating and cooling curves to represent the h-T
291
relationships. However, the equivalent specific heat capacity (cp,eq) within the hysteresis
292
region is considered to be varied with the PCM thermal dynamic state, as shown in Fig. 6.
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The liquid and solid specific heat capacities of the PCM beyond the phase change region
294
are assumed to be constant.
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Based on the assumptions, the relationship between the enthalpy and temperature of the
296
PCM at the time step k+1 can be determined by Eq. (7), while the enthalpy of the PCM at the
297
time step k+1 can be determined based on the energy balance using the PCM thermodynamic
298
state at the time step k.
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( )
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( )
if h k = hheating T k , T k +1 ≥ T k , Ts < T k < Tl k +1 hheating T , or if T k ≥ Tl if h k = hheating T k , T k +1 < T k , Ts < T k < Tl h k +1 = c kp,eq T k +1 − T k + h k , or if hheating(T k ) < h k < hcooling(T k ) , Ts < T k < Tl k k k +1 k k or if h = hcooling T , T > T , Ts < T < Tl if h k = hcooling T k , T k +1 ≤ T k , Ts < T k < Tl k +1 hcooling T , or if T k ≤ Ts
(
( )
)
( )
( )
(7)
( )
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where, h is the specific enthalpy, hheating and hcooling represent the heating curve and cooling
301
curve respectively, cp,eq is the equivalent specific heat capacity within the hysteresis region, Ts
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and Tl are the lower and upper temperature limits of the hysteresis region respectively, the
303
superscript k represents the time step k, and the subscripts s and l indicate the solid and liquid,
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305 306 307
respectively. The equivalent specific heat capacity is calculated by Eq. (8), in which the weighting factor (i.e. φ) is related to the PCM thermodynamic state and can be determined by Eq. (9).
ckp,eq = ϕ k ⋅ c p,s + (1 − ϕ k )⋅ c p,l , if hheating(T k ) < h k < hcooling(T k ) , Ts < T k < Tl
(8)
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ϕ k = [c p,l T k + (hl − c p ,l Tl ) − h k ]/[c p,l T k + (hl − c p ,l Tl ) − c p , sT k ]
309
For a given PCM, its heating and cooling h-T relationships can be obtained from
311 312
4. Performance Testing and Discussions
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4.1 Setup of the test
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Differential Scanning Calorimetry (DSC) test data.
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(9)
As the living and sleeping spaces of the house were combined into one single air-node
315
(i.e. the room space) in the house model, the higher value of the lower limit of the thermal
316
comfort temperature settings for the living space and sleeping space defined in Australian
317
National House Energy Rating Scheme [39] for winter conditions was used as the lower
318
temperature requirement to maintain the thermal comfort of the house, as shown in Fig. 7.
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The test results from the whole winter period (i.e. from June to August) in Sydney
320
weather conditions were used to analyze the Coefficient of Thermal Performance
321
Enhancement of the house while the test results from seven consecutive winter days were
322
selected to illustrate the indoor temperature variations of the house due to the use of PCMs
323
and PVT collectors for space heating. The solar irradiations, ambient air temperatures and
324
outdoor air humidity ratios in these seven selected test days are illustrated in Fig. 8.
325
4.2 Validation of the envelope-integrated PCM model
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The experimental data reported by Kuznik and Virgone [40] was used to validate the
327
effectiveness of the envelope-integrated PCM model. In their experiments, the inside air
328
temperature at the center of the enclosure was measured by a PT100 sensor with a calculated
329
resolution of ±0.25oC. A model for the cubical enclosure integrated with the PCM tested in 13
Page 13 of 36
Ref. [40] was developed for model validation. The long wave radiations among the interior
331
walls of the enclosure, and between the exterior surface of the enclosure and the internal
332
walls of the climatic chamber, were considered as the extra heat flux on the boundaries of the
333
envelope-integrated PCM model. Fig. 9 shows the validation results. It can be seen that the
334
simulation data agreed well with the experimental data reported in [40] with relatively
335
smaller deviations when compared to the results using a single h-T relationship for both
336
heating and cooling processes presented in Kuznik et al. [41]. The maximum deviation
337
between the model prediction and the experimental data reported in [40] was around 0.4oC
338
and the root mean square of the deviation was around 0.2oC when the sinusoidal temperature
339
setting was applied for the climatic chamber. The validation results indicated that this
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envelope-integrated PCM model can simulate the phase change process of PCMs with an
341
acceptable accuracy.
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4.3 Thermal performance of the house using the PCMs only
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The Coefficients of Thermal Performance Enhancement (CTPEs) of the house by only
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using the different types of PCMs with different thicknesses (i.e. Test cases 2-5) were
345
compared with that of the original house without using the PVT ventilation and PCMs (i.e.
346
Test case 1) and the results are summarized in Table 4. The CTPEs of the house by using
347
RT18HC were -8.6, -13.6, -9.1 and -5.3% when the thicknesses of the PCM layer were 5, 10,
348
20 and 30 mm, respectively. The negative values of the CTPE indicated a decrease in indoor
349
thermal performance of the house as compared to that of the original house. This is mainly
350
due to the non-existence of air-conditioning systems and/or other conventional heating
351
devices in the house. Consequently,
352
daytime periods and night-time periods was lower than that of the thermal comfort
353
temperature setting, and the average temperature increase during the night-time was less than
354
the average temperature decrease during the daytime due to the use of PCMs.
Ac ce p
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the indoor temperature of the house during some
14
Page 14 of 36
The CTPEs of the house by using SP21E were -0.6, 0.7, 2.6 and 4.7% when the
356
thicknesses of the PCM layer were 5, 10, 20 and 30 mm, respectively. Similar values can also
357
be observed when SP24E was applied. Compared to RT18HC, the indoor thermal
358
performance was slightly improved. The above results indicated that using PCMs alone
359
cannot improve the indoor thermal performance of the house under Sydney winter heating
360
conditions, which coincided with the conclusion reported by Guichard et al. [42].
cr
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355
The indoor temperatures of the house by using the PCMs only and that of the original
362
house without using the PVT ventilation and PCMs (i.e. Test case 1) under the seven selected
363
consecutive winter days are shown in Fig. 10. To save the page size, the results for the
364
thicknesses of the PCM layer of 5 and 30 mm (i.e. Test case 2 and Test case 5) are presented
365
only. Compared to the baseline case (i.e. Test case 1), the indoor temperature fluctuations
366
decreased due to the use of the PCMs in the building walls and ceiling. However, there was
367
no clear difference in the indoor temperature during the night-time when the three different
368
types of PCMs with a thickness of 5 mm were used.
te
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361
Difference among the indoor temperatures by using SP24E, SP21E and RT18HC can be
370
observed when the thickness of the PCM layer increased to 30 mm. A clear discharging
371
process during the night-time can be observed when RT18HC was used as the indoor
372
temperature obviously increased when compared to that of the original house. However, the
373
storage capacity of SP24E may not be fully utilized due to its higher phase change
374
temperature. It is worthwhile to mention that as the phase change temperature of RT18HC
375
was lower than that of the thermal comfort temperature setting specified for the daytime, the
376
contribution of RT18HC for the indoor thermal performance enhancement was therefore
377
mainly from the night-time.
378
4.4 Thermal performance of the house using PCMs and PVT ventilation simultaneously
379
Table 5 summarizes the CTPEs of the house by using the PVT ventilation and PCMs
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Page 15 of 36
with different thicknesses (i.e. Test cases 7-10), using the PVT ventilation only (i.e. Test case
381
6), and that of the baseline case of the original house (i.e. Test case 1). The CTPE of the
382
house increased significantly when the PVT ventilation was used. Compared to the use of
383
RT18HC and SP24E, higher CTPEs of the house were achieved when SP21E was used. The
384
resulted CTPEs of the house were 43.3, 46.3, 48.8 and 53.1% when the thicknesses of SP21E
385
were 5, 10, 20 and 30 mm, respectively. The use of RT18HC showed a better performance in
386
terms of the CTPE (i.e.52.1%) than that of using SP24E (i.e. 48.4%) when the thickness of
387
the PCM layer was 30 mm. The use of the PVT ventilation and PCMs simultaneously can
388
greatly improve the indoor thermal performance, when compared with the house using the
389
PCMs only and using the PVT ventilation only. The above results indicated that the PVT
390
ventilation can effectively enhance the PCM storage performance through charging more
391
thermal energy into the PCMs during the daytime and using it later during the night-time for
392
space heating in winter.
d
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380
The comparison of the indoor temperatures of the house by using the PVT ventilation
394
only (i.e. Test case 6) and using the PVT ventilation and PCMs simultaneously with that of
395
the baseline case of the original house (i.e. Test case 1) under the same seven winter test days
396
are presented in Fig. 11. For the same reason, the results with the thicknesses of the PCM
397
layer of 5 and 30 mm (i.e. Test case 7 and Test case 10) are presented only. Compared to the
398
results presented in Fig. 10 by using the PCMs only, the indoor temperature of the house
399
increased significantly during the daytime when the heated air from the PVT collectors was
400
supplied to the house. However, during the night-time, the indoor temperature was only
401
slightly higher than that of using the PCMs only when the thickness of the PCM layer was 5
402
mm, due to the limited storage capacity of the PCMs used. When the PCM thickness
403
increased to 30 mm, an obvious increase in the indoor temperature can be observed during
404
the night-time as compared to that of using the PCMs only. However, SP24E still could not
Ac ce p
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Page 16 of 36
be fully charged during the daytime even with the PVT ventilation and its thermal benefit to
406
improve the indoor temperature during night-time was therefore limited.
407
In order to understand the thermodynamic state of the PCMs, the surface temperatures of the
408
PCM layer close to the plasterboard of the house model with the PVT ventilation are
409
presented and illustrated in Fig. 12. Only the results for the north wall, south wall and ceiling
410
with the PCM thickness of 20 mm are provided, as the north wall and south wall represent the
411
sunny side and shady side of the building envelopes respectively, and the ceiling of the house
412
was well insulated in comparison to the walls of the house (see Table 1). It can be seen that a
413
higher PCM surface temperature can be found in the ceiling when RT18HC was used. In the
414
wall, the temperature fluctuation was relative small when RT18HC was used, as compared to
415
that using SP21E and SP24E. This is because that a large amount of heat was charged in and
416
discharged from RT18HC at around its phase change temperature of 18oC, which is lower
417
than the phase change temperatures of SP21E and SP24E. Smaller PCM surface temperature
418
fluctuations in the ceiling were resulted when SP21E and SP24E were used, as compared to
419
that in the north wall and south wall, due to the better insulation of the ceiling. More clear
420
PCM charging and discharging processes can be found in the north wall and ceiling when
421
SP21E and SP24E were used, as compared to that of the south wall. This is due to the fact
422
that the north wall exposed to strong solar radiation during the daytime and more heat was
423
therefore charged into the PCM layers which reduced the temperature fluctuations while the
424
ceiling was better insulated. The above results illustrate that the insulation of the building
425
envelopes plays an important role in ensuring the effectiveness of the PCMs used.
Ac ce p
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405
426
Based on the performance evaluation above, it is shown that using PVT ventilation can -
427
improve the CTPE of PCM enhanced buildings under Sydney winter heating conditions. The
428
thickness of the PCM layer and PCM types should be selected carefully to make full use of
429
the PCM thermal storage capacity. The optimization of the additional wall insulation of the
17
Page 17 of 36
430
original house may also assist in improving the performance of PCM enhanced buildings.
431
4.5 Optimization by using Taguchi method Based on the results from thermal performance investigation, further optimization using
433
Taguchi method was designed and conducted in order to achieve a higher CTPE through fully
434
utilizing the advantages of PVT ventilation and PCMs. The air flow rate of the PVT
435
ventilation, thickness of the PCM layer, PCM types and additional wall insulation are
436
considered as the control factors in the optimization, as shown in Table 6. Three levels were
437
considered for each individual factor. The air flow rates of the PVT collectors used were 1000,
438
2000 and 3000 kg/h and the thicknesses of the PCM layer were 10, 20 and 30 mm,
439
respectively. Three PCMs considered were RT18HC, SP21E and SP24E. The additional wall
440
insulation of the house used were 1.0, 2.0 and 3.0 m2·K/W, respectively. As there are four
441
control factors and three factor levels, Standard L9 (34) Taguchi Orthogonal Array was
442
selected to design the matrix of experiments, as shown in Table 7. The resulted CTPEs and
443
S/N ratios of each trail test are also provided in Table 7.
te
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432
The mean S/N ratios for each level of the control factors are summarized in Table 8. The
445
best combination of the control factor levels can be identified by selecting the levels with
446
highest S/N ratios. The identified optimal levels for the air flow rate of the PVT ventilation,
447
the thickness of the PCM layer, PCM type and additional wall insulation were 3000 kg/h, 30
448
mm, SP21E and 3.0 m2·K/W, respectively. To further investigate the significance of each
449
control factor to the objective response, the ANOVA was conducted and the results are
450
presented in Table 9. It can be seen that the additional wall insulation of the house and the
451
thickness of the PCM layer were the key factors which significantly influence the indoor
452
thermal performance of the PCM enhanced buildings. The percentage contributions of the
453
house additional wall insulation and the thickness of the PCM layer were 56.6% and 18.4%,
454
respectively.
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Page 18 of 36
The predicted objective response using Eq. (2) was 63.3%, when only considering the
456
significant factors of the additional wall insulation and the thickness of the PCM layer. A
457
conformation test was then conducted by using the optimal factor levels identified in Table 8.
458
The resulted CTPE of the house was 70.2%, which was higher than the predicted value due to
459
the consideration of all factors with their optimal levels. It was also much higher than the
460
highest CTPE presented in Table 5 (i.e. 53.1% in Test case 10 with SP21E PCM), indicating
461
the effectiveness of the optimization carried out.
462
5. Conclusions
us
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455
This paper investigated the thermal performance of buildings with integrated air-based
464
solar photovoltaic thermal collectors and phase change materials. The thermal energy derived
465
from the PVT collectors was used for space heating in winter conditions while PCMs were
466
laminated onto the building envelopes to increase local thermal mass. The thermal
467
performance of a typical Australian house with three different types of PCMs (i.e. organic
468
PCM of RT18HC, and the inorganic PCMs of SP24E and SP21E) and PVT collectors was
469
simulated and compared with that of the house using the PVT ventilation only, using the
470
PCMs only, and without using the PVT ventilation and PCMs.
M
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471
an
463
The results showed that using the PCMs in building envelops can reduce the indoor
472
temperature fluctuations. However, using the PCMs alone showed limited even no benefits to
473
the indoor thermal performance enhancement under Sydney winter heating conditions. The
474
Coefficients of Thermal Performance Enhancement (CTPEs) of the house due to the use of
475
RT18HC, SP21E and SP24E with the thickness of 20 mm were -9.1, 2.6 and 0.2%,
476
respectively. The use of the heated air from the PVT collectors can significantly increase the
477
indoor air temperature of the house during the winter daytime. The use of the PVT ventilation
478
and PCMs can substantially increase the indoor thermal performance of the house. The
479
CTPEs of the house increased to 43.4, 48.8, and 46.2% when the PVT ventilation with an air
19
Page 19 of 36
480
flow rate of 2000 kg/h and the PCMs of RT18HC, SP21E and SP24E with a thickness of 20
481
mm were used. The CTPE of the house was further improved through optimization using Taguchi
483
method. The optimal CTPE of the house was 70.2% when the PVT air flow rate was 3000
484
kg/h, the PCM thickness was 30 mm, the PCM type was SP21E and the additional wall
485
insulation was 3.0 m2·K/W, respectively. The additional wall insulation of the house was the
486
critical factor affecting the thermal performance of the PCM enhanced building with PVT
487
ventilation. Although both additional wall insulation and PCM layers can improve the
488
building thermal performance, additional wall insulation cannot replace the PCM layers as
489
PCMs can store a large amount of thermal energy and use it later and can therefore greatly
490
reduce the indoor temperature fluctuations.
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491
References
493
[1] IEA, ‘Modernising building energy codes to secure our global energy future’,
494
International Energy Agency,
, [accessed 04.11.13].
495
[2] Perez-Lombard L., Ortiz J. and Pout C. 2008, ‘A review on buildings energy consumption
496
information’, Energy and Buildings, vol.40, pp.394-398.
497
[3] Lam J.C., Wan K.K.W., Tsang C.L., and Yang L. 2008, ‘Building energy efficiency in
498
different climates’, Energy Conversion and Management, vol.49, pp.2354-2366.
499
[4] Buker M.S. and Riffat S.B. 2015, ‘Recent developments in solar assisted liquid desiccant
500
evaporative cooling technology—A review’, Energy and Buildings, vol.96, pp.95-108.
501
[5] Ma Z.J. and Wang S.W. 2011, ‘Enhancing the performance of large primary-secondary
502
chilled water systems by using bypass check valve’, Energy, vol.36, pp.268-276.
503
[6] Kaln s S. and Jelle B.P. 2015, ‘Phase change materials and products for building
504
applications: A state-of-the-art review and future research opportunities’, Energy and
Ac ce p
te
d
492
20
Page 20 of 36
Buildings, vol.94, pp.150-176.
506
[7] Niu X.F., Xiao F. and Ma Z.J. 2012, ‘Investigation on capacity matching in liquid
507
desiccant and heat pump hybrid air-conditioning systems’, International Journal of
508
Refrigeration, vol.35, pp. 160-170.
509
[8] Zondag H.A. 2008, ‘Flat-plate PV-thermal collectors and systems: a review’, Renewable
510
and Sustainable Energy Review, vol.12, pp.891-959.
511
[9] Kumar R. and Rosen M.A. 2011, ‘A critical review of photovoltaic–thermal solar
512
collectors for air heating’, Applied Energy, vol.88, pp.3603-3614.
513
[10] Shahsavar A., Salmanzadeh M., Ameri M. and Talebizadeh P. 2011, ‘Energy saving in
514
building by using the exhaust and ventilation air for cooling of photovoltaic panels’, Energy
515
and Buildings, vol.43, pp.2219-2226.
516
[11] Bazilian M.D., Leenders F., van der Ree B.G.C. and Prasad D. 2001, ‘Photovoltaic
517
cogeneration in the building environment’, Solar Energy, vol.71, pp.57-69.
518
[12] Kamthania D. Nayak S. and Tiwari G.N. 2011, ‘Performance evaluation of a hybrid
519
photovoltaic thermal double pass facade for space heating’, Energy and Buildings, vol.43,
520
pp.2274-2281.
521
[13] Soares N., Costa J.J., Gaspar A.R. and Santos P. 2013, ‘Review of passive PCM latent
522
heat thermal energy storage systems towards buildings’ energy efficiency’, Energy and
523
Buildings, vol.59, pp.82-103.
524
[14] Zhu N., Wang S.W., Xu X.H. and Ma Z.J. 2010, ‘A simplified dynamic model of
525
building structures integrated with shaped-stabilized phase change materials’, International
526
Journal of Thermal Science, vol.49, pp.1722-1731.
527
[15] Castell A., Martorell I., Medrano M., Perez G. and Cabeza L.F. 2010, ‘Experimental
528
study of using PCM in brick constructive solutions for passive cooling’, Energy and
529
Buildings, vol.42, pp.534-540.
Ac ce p
te
d
M
an
us
cr
ip t
505
21
Page 21 of 36
[16] Zhu N., Wang S.W., Ma Z.J. and Sun Y.J. 2011, ‘Energy performance and optimal
531
control of air-conditioned buildings with envelopes enhanced by phase change materials’,
532
Energy conversion and Management, vol.52, pp.3197-3205.
533
[17] Parameshwaran R., Harikrishnan S., and Kalaiselvam S. 2010, ‘Energy efficient PCM-
534
based variable air volume air conditioning system for modern buildings’, Energy and
535
Buildings, vol.42, pp.1353-1360.
536
[18] Al-Abidi A.A., Mat S., Sopian K., Sulaiman M.Y., Mohammad A.T. 2013, ‘Experimental
537
study of PCM melting in triplex tube thermal energy storage for liquid desiccant air
538
conditioning system’, Energy and Buildings, vol.60, pp.270-279.
539
[19] Ho C.J., Tanuwijava A.O. and Lai C.M. 2012, ‘Thermal and electrical performance of a
540
BIPV integrated with a microencapsulated phase change material layer’, Energy and
541
Buildings, vol.50, pp.331-338.
542
[20] Huang M.J. 2011, ‘The effect of using two PCMs on the thermal regulation performance
543
of BIPV systems’, Solar Energy Mater Solar Cells, vol.95, pp.957-963.
544
[21] Fiorentini M., Cooper P. and Ma Z.J. 2015, ‘Development and optimization of an
545
innovative HVAC system with integrated PVT and PCM thermal storage for a net-zero
546
energy retrofitted house’, Energy and Buildings, vol.94, pp.21-32.
547
[22] Lin W.Y., Ma Z.J., Sohel M. I. and Cooper P. 2014, ‘Development and evaluation of a
548
ceiling ventilation system enhanced by solar photovoltaic thermal collectors and phase
549
change materials’, Energy Conversion and Management, vol.88, pp.218-230.
550
[23] Padovan R. and Manzan M. 2014, ‘Genetic optimization of a PCM enhanced storage
551
tank for solar domestic hot water systems’, Solar Energy, vol.103, pp.563-573.
552
[24] Summer E.K., Antar M.A. and Lienhard V J.H. 2012, ‘Design and optimization of an air
553
heating solar collector with integrated phase change material energy storage for use in
554
humidification-dehumidification desalination’, Solar Energy, vol.86, pp.3417-3429.
Ac ce p
te
d
M
an
us
cr
ip t
530
22
Page 22 of 36
[25] Sivasakthivel T., Murugesan K. and Thomas H.R. 2014, ‘Optimization of operating
556
parameters of ground source heat pump system for space heating and cooling by Taguchi
557
method and utility concept’, Applied Energy, vol.116, pp.76-85.
558
[26] Verma V. and Murugesan K. 2014, ‘Optimization of solar assisted ground source heat
559
pump system for space heating application by Taguchi method and utility concept’, Energy
560
and Buildings, vol.82, pp.296-309.
561
[27] Kuo C.F.J, Su T.L., Jhang P.R., Huang C.Y. and Chiu C.H. 2011, ‘Using the Taguchi
562
method and grey relational analysis to optimize the flat-plat collector process with multiple
563
quality characteristics in solar energy collector manufacturing’, Energy, vol.36, pp.3554-3562.
564
[28] Yi H., Srinivasan R.S. and Braham W.W. 2015, ‘An integrated energy-emergy approach
565
to building form optimization: use of EnergyPlus, emergy analysis and Taguchi-regression
566
method’, Energy and Buildings, vol.84, pp.89-104.
567
[29] Beckman W.A. 2001, ‘TRNSYS reference manual’, vol.2. Solar Energy Laboratory.
568
[30] Australian Government Department of Industry. 2013, ‘Representative dwelling models:
569
industry consultation summary paper for survey participants’.
570
[31] Rubitherm PCMs, < www.rubitherm.com>, [accessed 14.07.2014].
571
[32] Taguchi G., Chowdhury S. and Wu Y. 2004, ‘Taguchi’s quality engineering handbook’,
572
Wiley, New Jersey, USA.
573
[33] Milos M. and Miroslav R. 2013, ‘Application of the Taguchi method for optimization of
574
laser cutting: a review’, Nonconventional Technologies Review, Romania, December, pp.50-
575
57.
576
[34] Roy K.R. 2010, ‘A primer of the Taguchi method’, Society of Manufacturing Engineers,
577
Michigan, USA.
578
[35] Velibor M. and Miloš M. 2011, ‘Optimization of surface roughness in turning alloy steel
579
by using Taguchi method’, Scientific Research and Essays, vol.6, pp.3473-3483.
Ac ce p
te
d
M
an
us
cr
ip t
555
23
Page 23 of 36
[36] Sohel M.l., Ma Z.J., Cooper P., Adams J. and Scott R.A. 2014, ‘A dynamic model for
581
air-based photovoltaic thermal systems working under real operation conditions’, Applied
582
Energy, vol.123, pp.216-225.
583
[37] Shamsundar N. and Sparrow E.M. 1976, ‘Effect of density change on multidimensional
584
conduction phase change’, Journal of Heat Transfer, vol.98, pp.550-557.
585
[38] Bony J. and Citherlet S. 2007, ‘Numerical model and experimental validation of heat
586
storage with phase change materials’, Energy and Buildings, vol.39, pp.1065-1072.
587
[39] National House Energy Rating Scheme, Australia, ,
588
[accessed 15.01.14].
589
[40] Kuznik F. and Virgone J. 2009, ‘Experimental investigation of wallboard containing
590
phase change material: data for validation of numerical modelling’, Energy and Buildings,
591
vol.41, pp.561-570.
592
[41] Kuznik F., Virgone J. and Johannes K. 2010, ‘Development and validation of a new
593
TRNSYS type for the simulation of external building walls containing PCM’, Energy and
594
Buildings, vol.42, pp.1004-1009.
595
[42] Guichard S., Miranville F., Bigot D., Malet-Damour B. and Boyer H., ‘Experimental
596
investigation on a complex roof incorporating phase-change material’, Energy and Buildings
597
vol.108, pp.36-43.
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Ac ce p
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Page 24 of 36
599 600
Table 1 Specifications of the house envelopes [30]
601
Materials used
ip t
12 mm plasterboard Additional wall insulation with a R-value of 1.0 m2K/W 110 mm brick 12 mm plasterboard Additional ceiling insulation with a R-value of 3.0 m2K/W 12 mm plasterboard*
Wall (from interior to exterior)
* An extra plasterboard layer was added to facilitate the use of the PCM model developed.
us
602 603
cr
Ceiling (from interior to exterior)
604
an
Table 2 Summary of the test cases studied
605
Test cases
PVT ventilation used
Without using PVT ventilation and PCMs
1
No
te
Using PVT ventilation only
606 607 608
Ac ce p
Using PVT ventilation and PCMs simultaneously
No
d
Using PCMs only
2 3 4 5 6 7 8 9 10
M
Test cases
Yes Yes
PCM layer thickness (mm) RT18HC SP21E SP24E 0
0
0
5 10 20 30 0 5 10 20 30
5 10 20 30 0 5 10 20 30
5 10 20 30 0 5 10 20 30
Table 3 Thermo-physical properties of the PCMs used [31]
Liquid/solid density (kg/m3) SP24E 1400/1500 SP21E 1400/1500 RT18HC 770/880 PCMs
Thermal conductivity [W/(m·K] 0.6 0.6 0.2
Melting temperature range (oC) 24-25 22-23 17-19
Congealing temperature range (oC) 23-21 21-19 19-17
Specific heat capacity [kJ/(kg·K)] 2.0 2.0 2.0
609 610 611 612 613 25
Page 25 of 36
614 615
Table 4 Coefficients of Thermal Performance Enhancement of the house by using PCMs with different thicknesses PCM layer thickness (mm)
Test case 1 Test case 2 Test case 3 Test case 4 Test case 5
0 5 10 20 30
RT18HC 0 -8.6% -13.6% -9.1% -5.3%
CTPE SP21E 0 -0.6% 0.7% 2.6% 4.7%
SP24E 0 -2.1% -1.1% 0.2% 1.8%
ip t
Test cases
cr
616 617
Table 5 Coefficients of Thermal Performance Enhancement of the house by using the PVT
622
ventilation and PCMs
625
an
PCM layer thickness (mm)
Test case 1 Test case 6 Test case 7 Test case 8 Test case 9 Test case 10
0 0 5 10 20 30
te
d
M
Test cases
Ac ce p
623 624
us
618 619 620 621
CTPE RT18HC SP21E 0 0 38.1% 38.1% 40.0% 43.3% 40.1% 46.3% 43.4% 48.8% 52.1% 53.1%
SP24E 0 38.1% 40.3% 42.8% 46.2% 48.4%
Table 6 Control factors and corresponding levels in Taguchi design
Factor
Level
1 2 3
Air flow rate of PVT collectors (kg/h) 1000 2000 3000
Thickness of PCM layer (mm)
PCM type
10 20 30
SP21E RT18HC SP24E
Additional wall insulation (m2·K/W) 1.0 2.0 3.0
626 627 628 629 630 26
Page 26 of 36
Table 7 Taguchi L9 (34) test plan Thickness of PCM layer (mm)
PCM type
1 2 3 4 5 6 7 8 9
1000 1000 1000 2000 2000 2000 3000 3000 3000
10 20 30 10 20 30 10 20 30
SP21E RT18HC SP24E RT18HC SP24E SP21E SP24E SP21E RT18HC
632 633
S/N ratio -8.643 -4.979 -4.637 -4.836 -6.701 -4.262 -5.656 -4.122 -5.455
Thickness of PCM layer (mm)
CTPE S/N 50.7% -6.086 54.9% -5.267 55.9% -5.084 Level 3
CTPE S/N 48.8% -6.385 54.9% -5.267 57.7% -4.785 Level 3
CTPE S/N 53.5% -5.676 55.7% -5.090 52.3% -5.671 Level 2
Additional wall insulation (m2·K/W) CTPE S/N 45.5% -6.933 56.5% -4.972 59.4% -4.532 Level 3
1.600
0.586
2.401
2
4
1
3
Ac ce p
634
d
1.002
M
Air flow rate of PVT ventilation (kg/h)
te
1 2 3 Optimal S/Nmax-S/Nmin Rank
an
Table 8 Response table of the CTPE
Level
635
Additional wall CTPE insulation (m2·K/W) 1 37.0% 2 56.4% 3 58.6% 3 57.3% 1 46.2% 2 61.2% 2 52.0% 3 62.2% 1 53.4%
ip t
Air flow rate of PVT ventilation (kg/h)
us
Trail test No.
cr
631
PCM types
Table 9 Analysis of variance table
Control factors (i.e. Source) Air flow rate of PVT ventilation Thickness of PCM layer PCM type Additional wall insulation All other/error Total
Degree of freedom
Sum of squares
Variance
Variance ratio
Pure sum of squares
Percentage contribution
(2)
0.0046
Pooled
2
0.0126
0.0063
3.9375
0.0094
18.4%
(2)
0.0018
Pooled
2
0.0322
0.0161
10.0625
0.0290
56.6%
4 8
0.0064 0.0512
0.0016
1.0
0.0128
25.0% 100.0%
636
27
Page 27 of 36
Figure Captions Fig. 1 Floor plan of a typical Australian house concerned in this study. Fig. 2 Illustration of the PCM enhanced house with the PVT ventilation.
ip t
Fig. 3 Overall procedure employed to evaluate and improve the thermal performance of the PCM enhanced building with PVT ventilation.
cr
Fig. 4 Illustration of the working principles expressed in Eq. (1). Fig. 5 Envelope-integrated PCM model.
us
Fig. 6 Enthalpy-temperature relationship.
an
Fig. 7 Thermal comfort temperature settings used in winter conditions.
Fig. 8 Solar irradiations, ambient air temperatures and outdoor air humidity ratios during the
M
seven selected test days.
Fig. 9 Validation of the envelope-integrated PCM model.
d
Fig. 10 Indoor temperatures of the house using and without using the PCMs.
te
Fig. 11 Indoor temperatures of the house using the PVT ventilation and PCMs simultaneously, using the PVT ventilation only and that of the original house without using the PVT
Ac ce p
ventilation and PCMs.
Fig. 12 Surface temperatures of the PCM layers close to the plasterboard of the house model.
28
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ip t cr us an M d
Ac ce p
te
Fig. 1 Floor plan of a typical Australian house concerned in this study [30].
Fig. 2 Illustration of the PCM enhanced house with the PVT ventilation.
29
Page 29 of 36
ip t cr us an M d
te
Fig. 3 Overall procedure employed to evaluate and optimize the thermal performance of the
Ac ce p
PCM enhanced house with PVT ventilation.
Fig. 4 Illustration of the working principles expressed in Eq. (1).
30
Page 30 of 36
ip t cr us
Ac ce p
te
d
M
an
Fig. 5 Envelope-integrated PCM model.
Fig. 6 Enthalpy-temperature relationship.
25
20
Lower temperature settings for living space Lower temperature settings for sleeping space
T/ °C
Lower temperature settings used in this study
15
10
0
4
8
12 Time / h
16
20
24
Fig. 7 Thermal comfort temperature settings used in winter conditions.
31
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20 Ambient temperature Humidity ratio
16
ip t
450
12
cr
300
150
0
Temperature / °C Humidity ratio / g/(kg dry air)
Solar irradiation
0
12
24
36
48
60
72
84 96 time / h
us
Total horizontal solar irradiation / W/m 2
600
108
120
132
144
156
8
4 168
an
Fig. 8 Solar irradiations, ambient air temperatures and outdoor air humidity ratios during the seven selected test days. 35
M
Temperature setting of the climatic chamber Enclosure temperature response - experimental Enclosure temperature response - modelling
d
25
20
8
13
Ac ce p
15
te
T / °C
30
18
23
28
33
38
43
time / h
Fig. 9 Validation of the envelope-integrated PCM model.
32
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22 Baseline RT18HC SP21E SP24E
20
ip t
T / °C
18
16
0
12
24
36
48
60
72
84 96 time / h
108
120
132
144
156
168
156
168
us
12
cr
14
22
Baseline RT18HC SP21E SP24E
M
20
d
T / °C
18
te
16
Ac ce p
14
12
an
a) PCM layer thickness of 5 mm
0
12
24
36
48
60
72
84 96 time / h
108
120
132
144
b) PCM layer thickness of 30 mm
Fig. 10 Indoor temperatures of the house using and without using the PCMs.
33
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30 Baseline PVT PVT-RT18HC PVT-SP21E PVT-SP24E
28 26
22
ip t
T / °C
24
20 18
14 0
12
24
36
48
60
72
84 96 time / h
108
120
132
144
156
168
156
168
us
12
cr
16
30 Baseline PVT PVT-RT18HC PVT-SP21E PVT-SP24E
28
M
26
22 20
d
T / °C
24
te
18 16
Ac ce p
14 12
an
a) PCMs thickness of 5 mm
0
12
24
36
48
60
72
84 96 time / h
108
120
132
144
b) PCMs thickness of 30 mm
Fig. 11 Indoor temperatures of the house using the PVT ventilation and PCMs simultaneously, using the PVT ventilation only and that of the original house without using the PVT ventilation and PCMs.
34
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24 North wall South wall Ceiling
22
ip t
T / °C
20
18
0
12
24
36
48
60
72
84 96 time / h
a) RT18HC
132
144
156
168
M
20
T / °C
18
d
16
12
24
36
48
Ac ce p
0
te
14
12
120
an
22
108
us
14
cr
16
24 22
60
North wall South wall Ceiling
72
84 96 time / h
108
120
132
144
156
168
108
120
132
144
156
168
b) SP21E North wall South wall Ceiling
T / °C
20 18 16 14 12
0
12
24
36
48
60
72
84 96 time / h
c) SP24E Fig. 12 Surface temperatures of the PCM layers close to the plasterboard of the house model. 35
Page 35 of 36
Highlights: Thermal performance investigation of buildings with integrated PCMs and PVT systems
ip t
Taguchi method is used to determine the optimal combination of the control factors
Using PVT and PCMs can improve building performance under winter heating
Ac ce p
te
d
M
an
us
cr
conditions
36
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