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Preliminary investigation on thermal behavior of
vehicles in different climate conditions
Elena Campagnoli
Department of Energy
Politecnico di Torino
Torino, Italy
elena.campagnoli@polito.it
Guglielmina Mutani
Department of Energy, R3C
Politecnico di Torino
Torino, Italy
guglielmina.mutani@polito.it
Abstract— The objective of this paper is to provide an initial
estimate, albeit rough, about the possible energy savings that
can be achieved by reducing the use of the air condition system
in cars. A simplified numerical model of the car has been created
to predict the cabin temperature in different climatic conditions.
In order to reduce the thermal load and so the temperature
inside the cabin several different types of glazing have been
considered, characterized by different absorbance coefficients
and solar factors. Furthermore, two types of coatings with
different absorbance coefficients were examined for the
envelope. The paper describes the model used and reports the
first results obtained.
Keywords—thermal model, moving vehicle, glass filters,
coating colour, energy saving.
I. INTRODUCTION
The car is for sure for lots of people the most important
transportation vehicle. Beyond the effects on air pollution due
to the emission of exhaust gases, a secondary role, but not to
be overlooked, is linked to the additional fuel consumption
due to the use of the air conditioning system [1].
In hot weather, the solar radiation is responsible for
heating the car cabin which leads to a discomfort condition for
passengers. The common reaction to this unpleasant high
temperature is the use of the air conditioning system in order
to obtain the desired air temperature into the cabin, thus
directly influencing fuel consumption.
This paper introduces a first simplified model for the
evaluation of the thermal load of the cabin under different
climatic conditions. In order to evaluate the possible benefits
deriving from an attenuation of solar radiation, different
glazing and coatings for the envelope were considered.
The modelling and simulation here presented were
performed by using MATLAB Simulink. The basis of the
model, the calculation with specific data, and further details
will be dealt with in the following sections, where the thermal
models for the glass, envelope and cabin are introduced.
The results obtained in terms of temperature of the glass,
envelope and cabin and the expected energy savings are
shown.
II. THERMAL MODEL OF THE VEHICLE
The model presented here aims to provide, in a simplified
way, the thermal behaviour of the car cabin in different
climatic conditions and has been developed using the
following hypotheses. In the simulations car travels at 50 km/h
and all windows are closed. The air conditioning system is
switched off and there is only the driver in the cabin. In order
to simplify the modelling, the area affected by solar irradiation
is considered independent of the angle of incidence of the
radiation. This area for calculations is set, for both transparent
and opaque surfaces, equal to half the total area of each part,
considering that the direct component of solar radiation affects
only a side of the vehicle. For the purpose of simplification,
both the thermal conduction between the glass and the
envelope and the heat dissipated by the engine in the
passenger compartment are neglected.
The simulations were performed using MATLAB
Simulink, considering the reference temperatures and solar
irradiation for each month. This paper will only show results
for July 17
th
, which represents typical hot summer conditions.
For each city the solar irradiation, I, and the outside
environment temperature Te were obtained from on-line data
available [2, 3]. Six cities were selected, at different latitudes,
from northern Europe to Saudi Arabia.
The equations used for the model are reported in the
following paragraphs and refer to three different sub-systems
(Figure 1): the glasses, the envelope and the cabin. At the
beginning, an equal temperature value is set for the three sub-
systems. By using the Least Square Error method the
convergence of the model is considered to be reached when
the new final temperatures evaluated for the three systems are
equal to the initial ones at less than 2%.
Data about vehicle materials were mainly obtained from a
vehicle engineering technical manual [4].
FIGURE 1. DIAGRAM OF THE THERMAL MODEL
A. Thermal balance of the glass
The energy stored in the car glasses changes during the
hours of the day based on the variation of three different terms
Eq. (1). This energy depends on the fraction of solar radiation
absorbed and on the convective and radiative heat transfers