Thermal Parameter Identification of
Simplified Building Model with Electric Appliance
Herie Park
a,
*, Marie Ruellan
a
, Adrien Bouvet
b
and Eric Monmasson
a
a
SATIE CNRS UMR8026,
b
L2MGC,
University of Cergy-Pontoise,
Cergy-Pontoise, France
(herie.park, marie.ruellan, adrien.bouvet, eric.monmasson)
@u-cergy.fr
Rachid Bennacer
c
c
LMT CNRS UMR 8535
Ecole Normale Supérieure de Cachan
Cachan, France
rachid.bennacer@dgc.ens-cachan.fr
Abstract— In order to reduce heat energy demand in residential
building, thermal insulation and indoor air tightness become
more important. However, in a well-insulated environment,
internal heat gain caused by solar radiation, metabolism and
losses of home electric appliance (i.e. refrigerator, lamp,
television, etc.) can be dominant to home global energy
management. To quantify and to modelize the heat gain due to
home appliances, we begin experimental measurements in a well-
insulated room. The first step in this work is the identification of
the room. In this paper we suggest a 1R1C lumped parameter
circuit which presents a building thermal model using thermal-
electric analogy. Then, we identify the circuit components (the
global thermal resistor and the global thermal capacitor) from
the heat balance equation and experimental results. Based on the
model and the obtained parameters, we simulate the indoor
temperature of the model using Matlab/Simulink. To check its
accuracy we compare the measured data and simulation results
and calculate their error ratio.
Keywords-power utilization; building thermal model; thermal
parameters; electric appliance; indoor temperature
I. INTRODUCTION
As improving the quality of human life, building energy
consumption and its CO
2
emission have continuously
increased. In order to reduce the environmental impact of
building, many countries strengthen their building regulations
and codes [1]. Especially, European Union has launched the
Energy Performance of Buildings Directive (EPBD) to lead all
EU State Members to tighten their building energy regulations
and to introduce energy certification schemes [2-3]. In addition,
global scale standards by ISO and CEN, assessment tools and
certification for sustainable building such as BREEAM, LEED,
CASBEE, Passivhaus, Minérgie, Effinérgie, etc. are also being
developed [4-5].
To achieve these requirements, several technical
approaches are needed. For example, the Passivhaus institute,
which developed one of the international building energy
efficiency certification ‘Passivhaus’, suggests followed
techniques [6]: compact form and super insulation, solar gain
consideration for opening, shading and natural lighting, high-
efficient window glazing and frames, air tightness of envelope,
air and water heat exchanger, energy saving home appliances,
etc. In low energy buildings, auxiliary heats by solar radiation,
metabolism and domestic appliance losses, which are called as
‘internal gain’, can affect dominantly to home global energy
management [8].
To research the influence of auxiliary heat gain in low
energy building, we need to model a well-insulated building.
Some previous literature introduced a thermal network method
using thermal-electric analogy to present a building as an
electric circuit [9-14]. Most of these building models are based
on a heat balance equation. Using the equation, building
thermal parameters (thermal resistance and thermal
capacitance) as well as local conditions (outdoor/indoor
temperature and internal gains by solar radiation, metabolic
heat and electric appliances) can be adapted to the electric
circuit components such as resistor, capacitor, voltage and
current source. It allows estimating the indoor temperature and
the heating/cooling energy demand of building.
The purpose of this paper is to apply the simplest thermal
model of well-insulated room and to identify its global thermal
parameters using four lamps. There are no other heat sources
except the lamps. The lamps affect to the indoor temperature
and their power consumption data permit to estimate the
temperature. For this, we suggest a first order RC lumped
parameter circuit using thermal-electric analogy. Both the
mathematical model and the physical model are discussed in
the next section. In section III the experimental condition and
the parameter identification method are presented. After the
thermal parameters are estimated, the proposed model is
implemented on Matlab/Simulink to simulate the indoor
temperature in section IV. The obtained results are compared to
the measured data to verify the accuracy of the model and of
the identification method. Finally in section V the conclusions
are drawn.
II. FIRST ORDER RC LUMPED PARAMETER MODEL
A. Mathematical model
Consider a single zone model with an electric power source
(see Fig.1). The heat balance equation is described from the
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