Journal of Physics: Conference Series
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Design of a “Test Cell” to be located at 4500 masl in a high Andean
region of Peru and dynamic simulation of the thermal performance of
housing wall materials
To cite this article: J O Molina et al 2020 J. Phys.: Conf. Ser. 1433 012002
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Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
Design of a “Test Cell” to be located at 4500 masl in a high
Andean region of Peru and dynamic simulation of the thermal
performance of housing wall materials
J O Molina, M J Horn and M M Gómez*
Faculty of Sciences, Universidad Nacional de Ingeniería, Av. Túpac Amaru 210,
Rimac, Lima 25, Peru
*E-mail: mgomez@uni.edu.pe
Abstract. The objective of the present study is to select appropriate wall materials for houses in
high Andean regions based on the measurements of the thermal behavior of construction
materials using a “Test Cell” under real environmental conditions. It will be the first “Test Cell”
to be installed in Peru, in Imata-Arequipa, at 4500 masl. The design and thermal analysis of the
“Test Cell” are presented using dynamic simulations with the EnergyPlus program. Initially, the
thermal performance of adobe, a traditional construction material in rural regions of Peru, is
simulated using real meteorological data recorded in Imata between August 18 and 24, 2018, a
period with low temperatures (-12.6 °C).
1. Introduction
In Peru, especially in the High Andean areas, the vernacular materials of traditional building walls are
blocks of soil, such as adobe and “tapial”, and stones of high thermal masses and thicknesses of 0.40 to
0.50 m. Empirically, it is known that these materials contribute to shielding the interior of the houses
from the low outside temperatures due to the thermal properties of these materials. However, in the case
of Peru, the quantification of these properties is still incipient. In the present study, it is proposed to
determine, in situ, the thermal transmittance and thermal-energetic behavior of vernacular and
conventional materials used in housing walls under real environmental conditions of a high Andean
zone. For this purpose, it is proposed to design, build, characterize and monitor a “Test Cell” [1]. The
study also contemplates, from the conception of the design, the use of the dynamic thermal/energy
calculation simulation software EnergyPlus [2], as presented in the present study, considering real
meteorological data recorded in the place where the “Test Cell” will be built. In subsequent works, once
the “Test Cell” has been constructed and the measurements carried out, the validation of the model will
be presented.
Given that the specialized literature does not report work with a “Test Cell” in Peru, this work would
be the first in Peru with a “Test Cell”, and even, given the height at which it will be implemented, in the
village of Imata in the Arequipa region at 4500 meters above sea level (Lat. 15 ° 55'43" S, Long. 71 °
06'31" W), it can be assumed that it would be the first worldwide at this altitude. Imata is considered the
coldest area in the Arequipa region and the third coldest area in Peru, where temperatures have been
recorded down to -23 °C [3]. Annually, the population of Imata, like at other places with similar
altitudes, suffers the onslaught of low temperatures or "heladas" (decrease of the temperature below 0
°C), affecting their health and even their lives. Paradoxically, the high Andean areas are blessed with a
high amount of solar energy of, on average, more than 6 kWh·m-2·day-1 [4].
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution
of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Published under licence by IOP Publishing Ltd
1
Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
The “Test Cells” have been and are being developed and studied mainly in Europe since the mid1980s through the PASSYS (Passive Solar Elements and Systems Testing) project of the European
Community [5, 6]. Their characteristic is that they are built in the open field and their evaluation is
carried out under real environmental conditions. They have a high level of insulation (low thermal
transmittance) and airtightness in the floor, ceiling, and three walls, with the fourth wall (facing south
in the Northern Hemisphere and, in our case, facing north) being the interchangeable test element or
wall that is constructed with the materials to be characterized to determine its thermal properties, such
as its heat capacity and thermal transmittance in the case of opaque materials, and the solar radiation
energy gain through transparent materials. In this project, 12 countries and approximately 60 researchers
participated, building a total of 35 “Test Cells”, initially evaluating wall materials, than ceilings, and
lately elements integrated into the walls, such as windows, photovoltaic panels, green walls and roofs.
Over the years, the PASSYS denomination passed to PASLINK [7, 8] and currently to DYNASTEE
(Analysis, simulation and dynamic tests applied to the energy and environmental performance of
buildings) [9].
In Mexico, studies were also conducted with “Test Cells” with the aim of evaluating the behavior,
contribution and thermal performance of materials, comparing those of traditional use, such as “tapial”,
with others of a conventional nature, such as concrete [10] and materials commonly used in urban
constructions, but with different construction layers [11].
Although in Peru, there is no experience of characterizing the behavior of building materials in the
open air and in the high Andean area, there are local studies regarding bioclimatic constructions. In these
works, local materials, representative of the area, such as adobe [12], tapial, wood, ichu, and totora [13,
14], were used to determine, by means of a passive design, the increase in the interior temperature of
homes with respect to the outside temperature. If a reasonable increase in the inside temperature was
not possible to obtain with passive means, active techniques with solar energy were used [15].
Based on the local experience with bioclimatic constructions and the international experience with
“Test Cells”, a “Test Cell” will be constructed with a purely wooden skeleton and conventional materials
for its insulation, with thermal transmittance values on its envelope of the order of
0.0X W·m-2·°C-1. For the calculations and thermal/energy analysis, the dynamic calculation engine of
the EnergyPlus program, developed by the Department of Energy of the United States and of recognized
worldwide application, will be used. This software uses as input data the density, specific heat, and
thermal conductivity of the materials for the analysis of transient heat transfer. In climates where the
daily thermal oscillation is high and the solar radiation is considerable [16], as presented in the high
Andean regions, the thermal analysis in steady state, considering only the thickness and thermal
conductivity of the material of the walls, as considered in the Peruvian Technical Standard EM.110
"Thermal and Light Comfort with Energy Efficiency" [17], does not allow the determination of thermal
well-being or energy savings. In these cases, it is also necessary to consider the energy storage capacity
(thermal inertia) of the building materials [18], as does EnergyPlus. The modeling and simulation with
EnergyPlus will be validated with experimental data measured at the “Test Cell” [19, 20].
This study presents the design and analysis of the “Test Cell” as a result of modeling and simulation
using EnergyPlus. Preliminary for this study, adobe is considered an interchangeable wall material since
it is a representative material for Imata. Real meteorological data, recorded in periods of “heladas”
(freezing temperatures), with a Davis weather station, Vantage Pro2 Plus, installed on site will be used
for the generation of a weather file in EPW format (EnergyPlus Weather Data) as input to EnergyPlus
using the program Element [21].
2. “Test Cell” at 4500 masl
The “Test Cell” will be built in Imata at 4500 masl, whose meteorological conditions of solar irradiance
and outdoor temperature have been recorded in situ from August 18 to 24, 2018. Figure 1a shows the
stereographic chart with black dotted lines for those dates, with the sun to the north. Figure 1b shows
the solar irradiance on a horizontal surface and the outside air temperature, which, on average for the
days of registration, were 6.1 kWh·m-2·day-1 and 0.7 °C, respectively, with an extreme minimum
temperature of -12.6 °C.
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Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
1000
15
800
10
600
5
0
400
200
-10
24/08/2018
23/08/2018
22/08/2018
21/08/2018
20/08/2018
0
19/08/2018
18/08/2018
-15
25/08/2018
(
-5
-2
) Irradiance (W·m )
) Temperature (°C)
1200
20
(
25
Days
(b)
(a)
Figure 1. (a) Stereographic solar chart for the Imata village (4500 masl). Latitude: 15 ° 55'43" S and
Longitude: 71 ° 06'31" W. (b) Solar irradiance and outside air temperature for Imata according to data
recorded from August 18 to 24, 2018.
The “Test Cell” will be located in a free space of land belonging to the parish of Imata village (figure
2a) in the district of San Antonio de Chuca, Caylloma Province, Arequipa region. Figure 2b shows the
parish land dimensions and the location foreseen for the “Test Cell” (red square).
(a)
(b)
Figure 2. Parish land area in Imata (a) seen with Google Maps and circumscribed with a
broken red line and (b) the dimensions and location of the “Test Cell” (indicated with a red
square).
2.1 Description
The “Test Cell” will have a cubic shape and will consist of an environment with interior dimensions of
2.4 m × 2.4 m × 2.4 m and exterior dimensions of approximately 3.2 m × 3.3 m × 3.3 m (these dimensions
are representative of the minimum for a habitable room). It will sit on six concrete cubes at a height of
0.3 m above the ground to prevent heat transfer between the ground and the “Test Cell”. Given the
characteristics of the “Test Cell”, which must have an envelope with a very high level of insulation, the
use of high-insulation materials, such as expanded polystyrene, fiberglass, and expanded polyurethane,
will be used for the floor, ceiling and walls facing east, west and south. The north-facing wall, as a test
wall, will be made of adobe and interchangeable. (The project also includes, later on, the characterization
of other materials, such as ignimbrite “sillar”, solid clay brick, and prefabricated drywall panels). Access
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Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
will be through a double door. Table 1 shows the thermal transmittances (U) of the different elements
of the envelope, on the order of 0.0X W·m-2·°C-1, calculated according to a stationary heat transfer
regime. The values of the thermal properties of the materials have been taken from the Peruvian
Technical Standard EM.110, with values of surface convection heat transfer at the walls (inner, hi, and
outer, ho) of 9 and 16.6 W·m-2·°C-1, respectively, and for the roof, hi and ho of 11.1 and 20 W·m-2·°C1
, respectively, and for the floor, hi and ho of 11.1 W·m-2·°C-1, respectively. The inverses represent the
inner (1/hi) and outer (1/ho) surface resistances, which for the calculation of U, the total resistance per
construction component is 1/hi + 1/ho, with data also taken from the EM.110 standard for the high
Andean bioclimatic zone.
The skeleton structure of the “Test Cell” will be entirely moisture resistant wood to avoid
deformations and thermal bridges; it will have the characteristic of a prefabricated construction, light
and detachable, where the fasteners will be made with pulls according to the dimensions of the wood. It
will have two plywood doors, each with 0.1 m of expanded polyurethane insulation and separated 0.60
m from the other (exclusive type) to decrease the air flow. The roof material has a sandwich
configuration of galvanized calamine veneers at the ends, with the surface to the outside grooved and
the other flat, and inside it has 0.05 m-thick expanded polyurethane.
The interchangeable wall (figure 3a) will be oriented to the north, as seen in figure 3b, given that at
the latitude of Imata, the path of the sun during most of the year will be more north and the effect of
solar radiation on its surface determines the thermal input to the inside of the module. The adobe bricks
to be used will be 0.4 m × 0.4 m at the base and 0.1 m high. The details of the adobes and construction
system of the wall will be carried out respecting the traditional form of construction in Imata, that is,
water, earth and ichu. The mixture will be left to rest three nights wrapped in plastic so that the clay
contained in the earth is saturated with moisture and it does not suffer cracks while drying,. The laying
of the adobes will be done with the detailed mixture.
(a)
(b)
Figure 3. Views of the “Test Cell” (a) north wall with interchangeable adobe and (b) 3D design
made with the program Trimble SketchUp.
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Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
Table 1. Thermal transmittance (U) of the constructive elements of the “Test Cell”, calculated at
steady state, with values of thickness (e), thermal conductivity (k), thermal resistance (e/k), and total
surface resistance (1/hi + 1/ho). The interchangeable wall materials are not included.
Layers
(from outside to inside)
e
(m)
k
(W·m-1·°C-1)
e/k
(m2·°C·W-1)
U
(W·m-2·°C-1)
0.088
Walls
Plasterboard
Fiberglass
Expanded polystyrene
Fiberglass
Plasterboard
1/hi+1/ho
0.0125
0.075
0.250
0.075
0.0125
-
0.250
0.040
0.033
0.040
0.250
-
0.077
1.829
7.576
1.829
0.077
0.170
Floor
Wood OSB
Fiberglass
Expanded polystyrene
Aluzinc
Expanded polystyrene
Aluzinc
1/hi+1/ho
0.010
0.075
0.280
5E-04
0.050
5E-04
-
0.130
0.040
0.033
125.5
0.020
125.5
-
0.077
1.875
8.485
3.98E-06
2.500
3.98E-06
0.180
Roof
Aluzinc
Expanded polystyrene
Aluzinc
Fiberglass
Expanded polystyrene
Fiberglass
Wood OSB
1/hi+1/ho
5E-04
0.050
5E-04
0.075
0.270
0.050
0.010
-
125.5
0.020
125.5
0.040
0.033
0.040
0.130
-
3.98E-06
2.500
3.98E-06
1.875
8.182
1.250
0.077
0.140
0.071
Door
Wood
Expanded polystyrene
Wood
Air chamber
Wood
Expanded polystyrene
Wood
1/hi+1/ho
0.004
0.100
0.004
0.600
0.004
0.100
0.004
-
0.120
0.020
0.120
0.120
0.020
0.120
-
0.033
5.000
0.033
0.160
0.033
5.000
0.033
0.170
0.096
0.076
2.2 Modeling and simulation of the “Test Cell” with EnergyPlus
The EnergyPlus dynamic simulation program is a simulation calculation engine and is complemented
by the Trimble SketchUp program [22] for modeling the design of a 3D building or house and
OpenStudio [23], which is an interface for EnergyPlus where thermal zones are generated. All are opensource and free-use programs. The methodology of using these programs begins with the modeling of
the 3D design and generation of the thermal zone with SketchUp and OpenStudio. Subsequently, the
input and output variables are defined with EnergyPlus. Examples of input variables are the climate file
for Imata and physical properties of the materials of the envelope: roughness, density, thermal
conductivity, specific heat, solar absorptivity (0.3 for plaster and 0.75 for adobe [24]) and thermal
infrared emissivity (= absorptivity = 0.9). The interior air temperature and the solar irradiance incident
on the outer walls of the “Test Cell” are considered as output variables, as well as the heat flux entering
or leaving the surfaces of the walls.
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Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
The simulation of the “Test Cell” is carried out considering first that the four walls are equal, with
the configuration shown in table 1, as well as for floor and ceiling (flat), without door, without
infiltrations, and without internal loads or operability. All walls are normal to the direction of the
cardinal points. Then, the “Test Cell” is simulated with adobe in the interchangeable north facing wall,
with the thermal data given in table 2. All the simulations are carried out for the period from August 18
to 24, 2018, a time of low temperatures (“heladas”).
Table 2. Thermal transmittance (U) of adobe wall, with wall thickness (e), thermal conductivity
(k), thermal resistance (e/k), total surface resistance (1/hi + 1/ho) and specific heat Ce.
e
(m)
0.400
-
Material
Adobe
1/hi+1/ho
k
(W·m-1·°C-1)
0.950
-
e/k
(m2·°C·W-1)
0.421
0.170
U
(W·m-2·°C-1)
1.692
Ce
(J·kg-1·°C-1)
920
-
3. Results and discussion
From the simulation, the data of the incident solar irradiance on the outer wall surfaces of the “Test
Cell” are obtained as shown in figure 4. According to the orientation, the walls received daily, on
average, during August 18 to 24, 2018, the following radiation energy: 40.67 kWh on the north wall,
36.82 kWh on the west wall, 23.72 kWh on the east wall, and 10.21 kWh on the south wall. The daily
average of the solar irradiance (Io) on a horizontal surface was 254 W·m-2 with a maximum of 893 W·m2
at 13 p.m.
The choice of placing the interchangeable wall facing the north was based on the previous results,
given that it receives the greatest energy of solar radiation during the day, resulting in a greater thermal
contribution of solar radiation to the temperature in the interior.
Simulating the indoor air temperature (Ti) of the “Test Cell” with all four walls equal and with a
configuration according to table 1 (ceiling and floor configurations do not change), the graph shown in
figure 5a is obtained, where the average temperature is 6 °C (0.7 °C is the outside average), with a
thermal oscillation of the inside temperature (Ti) of 0.4 °C, while the oscillation of the outside
temperature (To) was 18.4 °C. The average minimum daily external temperature was - 8.5 °C (at 6 a.m.),
the simulated indoor temperature at that time is 6.3 °C, that is, there is an increase in the minimum
indoor air temperature with respect to the outside of 14.8 °C.
1000
Io
900
wall S
wall N
wall E
wall W
-2
Irradiance (W·m )
800
700
600
500
400
300
200
100
0
2
4
6
8
10
12
14
16
18
20
22
24
Time (h)
Figure 4. Recorded daily average solar irradiance on a horizontal surface (Io) and
calculated incident on the exterior wall surfaces: East (E), West (W), North (N), and
South (S) walls, from August 18 to 24, 2018.
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Peruvian Workshop on Solar Energy (JOPES 2019)
Journal of Physics: Conference Series
1433 (2020) 012002
IOP Publishing
doi:10.1088/1742-6596/1433/1/012002
18
15
12
9
6
3
0
-3
-6
-9
-12
To
Ti
Temperature (°C)
Temperature (°C)
Subsequently, the “Test Cell” is simulated with the interchangeable north-facing wall with adobe
and maintaining the materials of the other three walls, the floor and ceiling, according to table 1. The
simulated interior temperature is shown in figure 5b.
The simulated indoor temperature, with the adobe north wall, also has a small oscillation, similar to
the previous case, but a much higher average of 11.3 °C, with a maximum of 12.0 °C, at 2 to 4 a.m., and
a minimum of 10.6 °C, at 15 to 17 p.m. The average indoor temperature is 10.6 higher than the average
outdoor temperature, and the minimum indoor temperature is 19.1 °C higher than the minimum outdoor
temperature (averaged over the period of evaluation).
2
4
6
8
10 12 14 16 18 20 22 24
18
15
12
9
6
3
0
-3
-6
-9
-12
To
Ti
2
4
6
8
10 12 14 16 18 20 22 24
Time (h)
Time (h)
(a)
(b)
Figure 5. Mean hourly temperature simulated inside (Ti) and measured outside (To), considering
(a) 4 equal walls and (b) north wall of adobe, for the days from August 18 to 24, 2018.
Table 3 shows the simulated daily heat flows through the adobe wall surfaces, the resulting heat flow
through the adobe wall and the daily heat stored in the adobe wall. The heat coming in the wall from
outside varies significantly from day to day (depending on the weather), but the heat flowing into the
interior of the test cell is much more constant, indicating that the adobe wall acts as a heat storage. The
average daily heat stored during the 7 days of the evaluation is -99 Wh. (in long periods, this value tends
to go to zero).
Table 3. Daily heat flows through the surfaces of the adobe wall (Si inner, So outer),
average heat flow and daily heat stored in the wall. A positive sign denotes that heat
comes out of the wall; a negative sign denotes that heat goes into the wall.
Days
18-Aug.
19-Aug.
20-Aug.
21-Aug.
22-Aug.
23-Aug.
24-Aug.
average
Si
(Wh·day-1)
543
540
464
264
390
544
573
474
Average
(Wh·day-1)
505
591
-468
-92
728
634
1073
424
So
(Wh·day-1)
-466
-642
1399
447
-1065
-723
-1573
-375
Storage
(Wh·day-1)
-77
102
-1863
-711
675
179
1000
-99
Finally, the additional heating energy requirement of the “Test Cell” is calculated for the two cases
considered in figure 5 if it is desired to maintain a uniform temperature of 15 °C inside the “Test Cell”
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Peruvian Workshop on Solar Energy (JOPES 2019)
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doi:10.1088/1742-6596/1433/1/012002
(and considering the climate of August 18-24, 2018). The results are shown in table 4. The daily energy
requirement for the case with all 4 walls according to the configuration of table 1 is 6.88 kWh, and with
a north adobe wall, it turns out to be 9.74 kWh.
Table 4. Heating requirement to maintain the inside of the “Test
Cell” at 15 °C when all the walls are equal and when the north wall
is made of adobe.
Days
18-Aug.
19-Aug.
20-Aug.
21-Aug.
22-Aug.
23-Aug.
24-Aug.
Equal walls
(kWh·day-1)
0.95
0.95
0.93
0.99
1.00
1.02
1.04
Adobe wall
(kWh·day-1)
1.10
1.12
1.13
1.65
1.75
1.50
1.49
4. Conclusions
With the “Test Cell”, which will be constructed in Imata/Arequipa according to the design described in
this study, it will be possible to evaluate different construction materials under real high Andean climatic
conditions and validate the simulations performed with EnergyPlus.
Acknowledgement
This work was carried out under the auspices of the National Training Service for the Construction
Industry (SENCICO) and the Peruvian National Council for Science and Technology (CONCYTEC)
under the contact No. 121-2018-FONDECYT. In addition, J.O. Molina thanks FONDECYT for a
doctoral scholarship within the agreement No. 05-2018-FONDECYT/World Bank.
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