i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n e n e r g y 3 6 ( 2 0 1 1 ) 1 3 2 4 1 e1 3 2 4 9
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Modelling and evaluation of building integrated SOFC systems
Pejman Kazempoor*, Viktor Dorer, Andreas Weber
Empa, Swiss Federal Laboratories for Materials Science and Technology, Building Science and Technology Laboratory,
CH-8600 Dübendorf, Switzerland
article info
abstract
Article history:
This study presents the final results of a series of modelling steps which are undertaken for
Received 3 March 2010
the performance assessment of the building cogeneration and polygeneration systems
Received in revised form
using solid oxide fuel cell (SOFC). Based on earlier work, generic SOFC cell stack and system
15 September 2010
models were developed and employed to analyze different SOFC systems configurations
Accepted 1 November 2010
for optimal efficiencies, this SOFC system model is used to derive performance input data
Available online 4 December 2010
for transient whole-building and energy system simulation tools which contain simpler
SOFC system models. These steps are shortly summarized here. Then the final step, the
Keywords:
evaluation of building integrated co- and polygeneration SOFC systems in terms of primary
Solid oxide fuel cell
energy demand and CO2 emissions, employing such tools, is presented here for a poly-
System model
generation system with typical heating and cooling loads, and electricity demand profiles,
Cogeneration
for different SOFC systems, including a comparison to current standard technologies.
Polygeneration
Copyright ª 2010, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights
Residential application
1.
Introduction
High efficiency building cogeneration (also termed combined
heat and power -CHP) and polygeneration (including thermally driven cooling -TDC) systems using solid oxide fuel cell
(SOFC) are expected to be one of the key technology options
for improving building energy efficiency and reduce emissions. However, it is not a mature technology yet. There are
a lot of uncertainties about the SOFC technology itself, and its
integration into a building in terms of feasibility, performance,
economics and controllability which must be investigated. If
ongoing development programs succeed, SOFC’s high generation efficiencies, low emissions, quiet operation, high
exhaust gas temperature, and wide range of capacity covering
reserved.
all types of buildings from single family homes to large scale
commercial buildings will make it attractive for a range of
distributed generation (DG) and CHP applications, providing
stiff competition for the currently preferred DG technology [1].
However, not many SOFC systems are developed for the DG
application yet, and even lesser experimental investigations
are followed. There are a number of analytical and numerical
methods which focus on optimising the SOFC cells and
system parameters. However, only a few of them, e.g. by
Braun [2], Lee [3] and Farhad [4], are suited for the analysis of
building integrated applications. In the case of polygeneration, the presented works are more limited. Only very few
studies were presented until now [5e7] and a complete model
which can consider a general SOFC system as well as complete
Abbreviations: CC, combined cycle; CGD, Cogeneration device; COP, coefficient of performance; DG, distributed generation; DHW,
domestic hot water; GB, gas boiler; HHV, higher heating value; ICE, internal combustion engine; LHV, lower heating value; MC,
mechanical chiller; MFH, multifamily house; NRPE, non-renewable primary energy; PEN, positive electrode-electrolyte-negative electrode; SC, space cooling; SH, space heating; SOFC, solid oxide fuel cell; TDC, thermally driven chiller; UCTE, Union for the Co-ordination
of Transmission of Electricity, now part of the European network of transmission system operators for electricity (ENTSO-E).
* Corresponding author. Tel.: þ41 44 823 55 11; fax: þ41 44 823 40 09.
E-mail addresses: pejman.kazempoor@empa.ch, pejman.kazempoor@gmail.com (P. Kazempoor).
0360-3199/$ e see front matter Copyright ª 2010, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.
doi:10.1016/j.ijhydene.2010.11.003
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building cooling and heating system, cannot be found in the
open literature.
For the performance assessment of building integrated SOFC
systems, the interaction between the cogeneration system and
transient building loads is considered using dynamic building
simulation tools. Cogeneration models presently used are
formulated on system level, based on quasi-steady state
performance characteristics and with simple approximations
for the transient behaviour. A typical model of this type is the
fuel cell cogeneration system model developed within Annex 42
of the International Energy Agency’s Energy Conservation in
Buildings and Community Systems Programme (IEA/ECBCS) [8],
which uses a pragmatic “grey box” approach, where the model
structure partially reflects underlying physical processes and
partially relies on empirical relations. Subsystems are handled
as control volumes for which one or more conservation equations are formulated. The whole fuel cell power module is
considered as one control volume. In this paper, we refer to this
model as the IEA Annex 42 fuel cell model. For a specific device,
the cogeneration system model has to be calibrated using
performance data gained from laboratory tests. Such calibration
process using empirical data was demonstrated e.g. for
a 2.8 kWAC SOFC device [9]. However, the experimental
methods are restricted to the system characteristics such as size
and configuration and it is not a general approach. Alternatively,
the model parameters could also be derived using a detailed fuel
cell system model including a detailed cell and stack fuel cell
model. This approach is a relatively easy and straightforward
way to derive the system parameters and evaluate variations of
system size and configuration, but of course may lack of
experimental verification.
This last approach is followed in the present work. In the
frame of the European PolySMART project [10], the performances of natural gas driven polygeneration SOFC systems
were assessed by simulation in terms of primary energy
demand and CO2 emissions, using SOFC system performance
data derived from a detailed model. This work comprised the
following modelling steps:
A detailed SOFC cell model was developed. This cell model
was extended to a generic SOFC stack model. The stack model
was complemented to a system model comprising balance of
plant components. This system model was employed to analyze
SOFC systems fuelled by hydrogen and methane respectively.
Different system configurations were studied and evaluated for
optimal efficiencies. This SOFC plant model was used to derive
performance input data for the transient whole-building and
energy system simulation tool, which contains a simpler SOFC
plant model. With this tool building integrated co- and polygeneration SOFC systems were evaluated in terms of primary
energy demand and CO2 emissions, for a number of different
cases in regard to polygeneration system configurations, building
types, heating and cooling loads, and electricity demand profiles.
In this paper the modelling steps for the cell, stack and system
are only briefly described, as they are discussed in more detail in
earlier publications [11,12]. The main purpose of this paper is to
describe the methods applied for the integration of the SOFC
model into a whole-building simulation tool and for the performance assessment of systems, and to demonstrate them in
a building integrated polygeneration system example case,
including the comparisons with current standard technologies.
2.
SOFC cell and stack model description
Only a brief description of the cell and stack models applied is
given here (for details see [11]).
In regards to their easier manufacturing, potential to
provide higher power densities, and lower cost, the SOFC
system considered in this research was constructed based on
the planar SOFC cells in both anode-supported (or intermediate temperature) and electrolyte-supported (or high
temperature) designs. A generic and detailed quasi 2D model
including the mass, momentum, thermal and complete electrochemical analysis as well as the kinetic model of hydrocarbon reactions was developed for the considered geometry.
The planar SOFC cell is divided into series of piped-type
volumes (unit elements) and the finite volume method is used
to discretize the governing equations on each unit element.
The electrochemical analysis comprises the complete evaluation of the cell ohmic, activation and concentration polarisations. These polarisations are subtracted from the Nernst
potential to calculate the unit element operational voltage [13].
The continuity equations comprise the anode and cathode
molar flow rate variations due to the electrochemical, internal
reforming of methane, and water-gas-shift reactions.
To improve the accuracy of the thermal model, five layers
of temperatures were considered in energy balance equations.
Therefore, for each unit element the energy balance equations
are written for the fuel and air side interconnectors, PEN
(positive electrode-electrolyte-negative electrode), air and fuel
streams. Radiation between solid parts is also considered in
the thermal model.
The SOFC cell model was validated with available numerical and experimental data for intermediate [14] and high
temperature [15] SOFCs with internal reforming, showing the
capacity to accurately predict their operating conditions.
For the extension of the cell model to the entire stack, the
following steps were considered [12]:
1) Several experimental results show that for an SOFC stack
considering constant operational voltage is acceptable
except for a few cells which are located on the top and end
of the stack [16,17]. Therefore, it is assumed that the stack
cells are equipotential.
2) Internal manifolding allows a great deal of flexibility in the
stack design. Therefore, the stack pressure losses are
calculated based on this type of flow distribution which is
discussed in more detail in [12].
3) Two radiative air pre-heaters (RAP) are attached to the stack to
control the cell temperatures and manage the system waste
heat. The heat exchange between RAPs and stack is considered in the extension of the cell model to the stack model. The
RAP model and its integration to the stack are discussed in [12].
3.
Balance of plant component model
definitions and assumptions
The developed SOFC model was integrated into the system
model, which considers all the necessary balance of plant (BoP)
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components, namely [12]: Fuel compressor, air blower, water
pump, air and fuel ejector, external fuel pre-reformer, gas to gas
heat exchanger, gas to water heat exchanger, DC to AC inverter,
desulphuriser, radiation air pre-heater and air filter. Each
component was individually modelled in the present work. A
brief introduction to these system component models is given
below; more detailed descriptions are presented in [12]:
(1) Compressors, pumps and air blower are modelled in
a similar way, based on efficiency expressions in function
of the gas flow rate to the system. As the reactant flow
rates to the system depend on the system size, different
sources for efficiency data are used. For the systems
considered here these values are taken from [18].
(2) A simple model is considered here for the desulphuriser. In
this model only the pressure loss in the desulphuriser is
accounted for. Two optional methods are applied to
calculate it, based on constant or flow rate dependant
pressure drop respectively.
(3) The Effectiveness -NTU method is used for the modelling
of the air and the fuel heat exchanger.
(4) Mass, momentum and energy balance equations are used
to model the air and fuel ejector, considering steady state
conditions, constant cross-section mixing, and isentropic
expansion of the actuating fluid.
(5) Considering a steady state and adiabatic operation, mass
and energy balance equations are used to calculate the
reformer parameters.
(6) A 1D finite volume model, considering the mass, energy and
momentum conservation laws, was developed to calculate
the heat transfer and flow quantities for the radiation air
pre-heater (RAP). Two raps are considered for each stack.
Incorporating the RAPs into the system depends on the
considered BoP components and the procedure which is
used to control the heat management.
(7) Ideal combustion is considered for the burner. This means
that all of the methane, hydrogen and carbon monoxide
will be converted to carbon dioxide and steam.
(8) The power conditioning unit (PCU) has been modelled
considering a constant efficiency.
4.
SOFC system model performance
parameters
The following performance parameters for cell and system
evaluations were used: SOFC cell fuel utilization, air excess
ratio, cell stack efficiency, electric efficiency, CHP efficiency
and thermal-to-electric ratio (TER) respectively. They are
defined as:
UF ¼
n_ H2;consumed
ð4n_ CH4 þ n_ CO þ n_ H2 ÞAn;In
lCell ¼
hCell
ðn_ O2 ÞCa;in
½2n_ CH4 þ 0:5ðn_ CO þ n_ H2 ÞAn;In
Stack
hSy;E ¼
¼
PDC
ðn_ F LHVF ÞAn;In
PAC;Net
ðn_ F LHVF ÞSy;In
(1)
(2)
(3)
(4)
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hCHP ¼
PAC;Net þ Q_ CHP
ðn_ F LHVF ÞSy;In
(5)
TER ¼
Q_ CHP
PAC;Net
(6)
5.
System model descriptions and defining
optimised cases
All the components models described in the previous sections
were integrated to build the system model. Incorporating
internal reforming (IR), anode gas recycling (AGR) line, cathode
gas recycling (CGR) line, and radiation air pre-heater (RAP);
different system configurations fuelled by methane and
hydrogen were studied and evaluated for optimal efficiencies
[12]. The results showed that the incorporation of CGR to the
SOFC system can effectively improve the electric and CHP
efficiencies. It is also observed that the system performance
can fairly increase with only partial internal fuel flow reformation in the SOFC anode surfaces, due to the lower auxiliary
power consumption. The incorporation of RAPs to the system
proofed to be an effective way to decrease the air excess ratio
and thus allow for smaller heat exchanger size and lower cost,
as well as for lower auxiliary power consumption. Since the
RAP was designed based on the design-point characteristic, it
has been observed that there are some uncertainties about
how to dimension and operate the RAP when the cell parameters deviate much from the design-point values, especially
because high pressure losses may arise in the RAP.
The results also clearly indicated that the hydrogen-fuelled
systems do not offer any electric efficiency advantages over
methane-fuelled systems. Lower electric efficiency, higher
TER and higher cell stack efficiency were observed for all of
the hydrogen-fuelled cases in comparison to the methanefuelled cases.
The results of system configuration evaluation and parametric studies of cell parameters, i.e. fuel utilization, cell voltage
and inlet fuel flow, were used to determine optimised system
design and part-load operation points. For the present study, two
optimised system are considered. It should be mentioned that
these two new systems are not identical to the ones presented in
[12]. These systems are selected in regards to their fairly high
electric efficiency in comparison to previously investigated
systems and, as the dominant criterion, their high CHP efficiency. This selection is based on the experience gained in earlier
studies of building integrated cogeneration systems [19].
The systems process flow diagrams for both considered
cases are shown in Fig. 1 (Case (M1)) and Fig. 2 (Case (M2)). As
can be seen, AGR, CGR, and IR concepts are implemented in
these systems to achieve high CHP efficiencies. The basic
system configuration is identical for both cases. However,
a lower fuel utilization and higher anode and cathode gas
recycling ratio are considered for Case (M2) in order to
improve the CHP efficiency over the whole range of part-load
operation. The input parameters for the two systems are
shown in Table 1. The system capacities considered base on
the total heat demand for space heating, domestic hot water
and for the thermally driven chiller (Fig. 2).
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Fig. 1 e Process flow-sheet diagram of an optimised methane-fuelled SOFC system (Case (M1)), with data for typical
operation point.
6.
Performance characteristic curves
The performance characteristics of the two optimised system
mentioned above are employed here to derive SOFC system
performance curves for energy and environmental impact
studies of building integrated SOFC co- and polygeneration
systems, using transient whole-building and plant simulation
tools. In the IEA Annex 42 fuel cell model [8] (the model used in
the present investigation), the whole fuel cell power module is
considered as one control volume and the characteristics of
this module have to be determined using either empirical data
or data derived from a more detailed cell and stack fuel cell
model. For an individual system, characteristics curves are
used as input parameters to the IEA Annex 42 fuel cell model,
namely power module electric efficiency and air flow rate
versus power module net system AC power output. These
curves are approximated by second (or higher) order
Table 1 e Parameters for Case (M1) and Case (M2).
Parameters
SOFC stack input parameters
Anode thickness (m)
Cathode thickness (m)
Electrolyte thickness (m)
Interconnector thickness (m)
Cell active area (width height) (mm2)
Channel height, fuel and air sides (m)
Channel width, fuel and air sides (m)
Fuel utilization (%)
System input parameters-standard values
Anode recycling ratio (%)
Extent of methane reforming
(percent of external reforming)
Compressor efficiency (%)
Blower efficiency (%)
DC/AC convertor efficiency (%)
Air feed
Fuel feed to the systems
Value
Parameters
Value
500 10 6
50 10 6
Average current density(A m 2)
Air excess ratio
20 10 6
0.5 10 3
100 120
1 10 3
3 10 3
Case (M1): 80
Case (M2): 55
Max. PEN allowable temperature increase (K)
Stack configuration
Air and Fuel inlet temperatures to cells (K)
Number of channels, fuel and air sides
Number of cells
Cell electrochemical and thermal properties
5000
Case (M1): 7.84
Case (M2): 7.06
<100
Co-flow
1023
25
250
Ref. [10]
Case (M1): 60
Case (M2): 70
30%
Fuel and air input temperature to system ( C)
15
Cathode recycling ratio (%)
Case (M1): 60
Case (M2): 60
>2
50
900 W
101325
68
Ref. [14]
92
21%O2,79%N2
100% CH4
Steam to carbon ratio to cells and reformer
Whole system exhaust gas temperature ( C)
System heat losses (W)
Inlet pressure (Pa)
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Fig. 2 e Process flow-sheet diagram of an optimised methane-fuelled SOFC system (Case (M2)), with data for typical
operation point.
In the final step of the present investigation, the performances
of natural gas driven polygeneration systems were assessed,
using the transient whole-building and energy system simulation tool TRNSYS [20], with the Annex 42 SOFC plant model
and the respective calibration input data incorporated. The
performance evaluations are based on the methodology
developed in the frame of IEA/ECBCS Annex 42 [21]. The
system performances were determined in terms of nonrenewable primary energy (NRPE) demand and carbon dioxide
equivalent (CO2-eq) emissions, and compared to a system with
internal combustion engine (ICE) and the reference system.
The reference system for all cases comprises a gas boiler (GB)
and a mechanical chiller and grid electricity supply according
to the selected generation mix. Two different grid electricity
generation mixes were considered, using NRPE and CO2-eq
emission factors from the ecoinvent, 2006 database [22]: (i)
European mix according to UCTE and (ii) combined cycle (CC)
power plant.
Fig. 3 e Example of system performance curves for the
methane-fuelled SOFC system configuration (Case (M1)), to
be used as input to the IEA ECBCS Annex 42 fuel cell model.
Fig. 4 e Example of system performance curves for the
methane-fuelled SOFC system configuration (Case (M2)), to
be used as input to the IEA ECBCS Annex 42 fuel cell model.
polynomials. The procedure which should be applied to derive
these curves was explained in [11]. Examples of the system
performance curves for both Case (M1) and Case (M2) are
shown in Figs. 3 and 4. Respective resulting performance
curves derived from the IEA Annex 42 model are shown in
Fig. 5. This model then is employed in the evaluation of
building integrated co- and polygeneration SOFC systems, as
outlined in the next section below.
7.
Evaluation of building integrated co- and
polygeneration SOFC systems
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Fig. 5 e Performance data curve of the calibrated Annex 42
model for Case (M1) and Case (M2).
The ICE CGD is a commercially available device, operated
in on-off mode at 5.5 kWe constant electric power, and
12.5 kW nominal thermal output at 60 C return flow water
temperature; and with 27% electrical and 61% thermal efficiency (LHV). For the ICE CGD the IEA Annex 42 ICE model
calibrated with data of an available unit measured within IEA
Annex 42 [23] has been used.
The two SOFC systems considered have a nominal power
output of in the range of 10.7 kWe electric and 16.4 kW
thermal at 40 C return flow water temperature. Both SOFC
systems can be modulated down to 4.4 kWe electric and
2.7 kW thermal output.
The TDC device is a 10 kW H2O/LiBr single effect absorption
chiller with a COP of 0.76 at driving hot water inlet temperature of 75 C, cooling water inlet temperature of 27 C and
chilled water inlet and outlet temperatures of 18 C and 15 C
respectively. The TDC device is modelled using the characteristic temperature difference method. Models for the TDC
and the cooling tower for the heat rejection are described in
more detail in [24].
7.2.
7.1.
Building and loads
Systems analyzed
Fig. 6 shows the configuration of the considered polygeneration system, basically comprising a cogeneration plant device
(CGD) and a thermally driven chiller (TDC). The system is
supplemented with an auxiliary gas boiler and a mechanical
chiller. A combined storage for heat and domestic hot water,
a cold storage, pumps, valves and energy management and
control devices complete the system. The electricity generated by the CGD is used at site or is supplied to the grid (and
possibly later re-used, considering a grid loss factor of 10%).
Two different CGDs were considered: (a) an internal
combustion engine (ICE) and (b) the SOFC system.
For the modelling of the building loads, a multifamily house
(MFH) was assumed. Space heating and cooling loads were
determined using the dynamic multi-zone building model of
TRNSYS. Two different thermal zones, an attic and an intermediate zone, each representing a flat with 140 m2 reference
floor area were modelled. The thermal properties concerning
windows, walls, and roof in the attic dwelling are given in
Table 2. The two zones are thermally not coupled. Adiabatic
conditions are assumed in the next upper or lower zone. The
size of the building was adjusted to the cooling capacity of
the TDC system by using an integer multiplication factor to
the thermal outputs of the intermediate zone. Here, a 3 storey
Fig. 6 e Configuration of the assessed building integrated polygeneration system.
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Table 2 e Multifamily house characteristics.
Parameter
Floor area per dwelling
U-values of ground floor
U-values of external walls
U-values of roof
U-values of window
g-value of window
Window area per dwelling
Domestic hot water average
consumption dwelling
Domestic hot water temperature
value
Unit
2
140
0.56
0.49
0.38
2.8
0.76
20
200
m
W/(m2 K)
W/(m2 K)
W/(m2 K)
W/(m2 K)
e
m2
Liters/day
45
C
MFH building consisting of 4 intermediate and 2 attic dwellings was assumed.
The internal gains from inhabitants were considered
according to a fixed daily occupancy profile with 3.3 people
present at maximum per dwelling. For the gains from electricity use for appliances and lighting it is assumed that 58% of
the electric energy remain inside the building as thermal
energy. The external shading control was assumed as a function of the incident solar radiation, the room and ambient
temperatures. During the heating season a natural air change
rate of 0.4 was assumed due to leakages. During summer,
natural ventilation including a night ventilation mode were
assumed in order to reduce the cooling load. In the considered
climate of Madrid the simulation resulted in a space heating
demand per m2 energy reference floor area of 135 MJ/m2/a and
a cooling demand of 45.7 MJ/m2/a.
Heat and cold supplied by the system were emitted to the
room spaces by a fan coil system. The set points for the room
air temperature control were 20 C during the heating period
and between 24 and 27 C during the cooling period, depending on the outside temperature. Room temperature control
was with thermostatic valves with a 1 K proportional band.
The reaction of the demand on a possible shortage in heat or
cold delivery was taken into account within the following time
steps. Such, the correct supply and return flow temperatures
resulted and their influence on the thermal efficiencies of the
devices could be taken into account. Also possible additional
cooling loads due to condensation in the fan coil were taken
into account.
For the domestic hot water an average consumption of 200
litres per day and dwelling was assumed, with a stochastic
load profile produced with the tool described in [25]. A medium
electricity consumption of 3028 kWh/a per dwelling was
assumed according to a measured load profile as provided by
Annex 42 [26].
The MFH was modelled with two thermal zones i.e. one
zone per dwelling, using the dynamic multi-zone building
model of TRNSYS. In the considered climate of Madrid the
simulation resulted in a heat demand per m2 energy reference
floor area of 135 MJ/m2/a and a cooling demand of 45.7 MJ/m2/a.
7.3.
Results
Fig. 7 shows values per m2 energy reference floor area for the
different energies and for the CO2 eq emissions, resulting for
the four methane-fuelled cases, namely the SOFC M1 and M2
Fig. 7 e Energy demand and CO2-eq emission values per
m2 energy reference floor area resulting for the four
methane-fuelled cases (SOFC M1, SOFC M2, ICE, and GB
reference case).
cases, the ICE case, and the GB reference case. The SOFC
systems produce slightly more heat than the ICE system as
their heating capacity is also higher. The cold produced by the
TDC is quite similar in all polygeneration cases, although
more heat at higher temperature is available from the SOFC.
Cold generated by the TDC covers more or less the demand for
space cooling. Thus, the auxiliary mechanical chiller could
be omitted without significantly affecting thermal comfort,
which in fact would be done in reality in this case. However
here it was added to the system in order to have fully
comparable thermal comfort situations. Due to the higher
electric efficiency and the modulating capability, the electricity generated by the SOFC systems is significantly higher
than by the ICE CGD. The difference between case (M1) and
(M2) is small.
The potential of the SOFC systems for savings in both NRPE
demand as well as CO2 emissions is clearly demonstrated. In
the case of UCTE grid mix 66% reduction in NRPE demand and
35% in CO2 emissions resulted, compared to the reference case
(14% NRPE and 14% CO2 emissions reduction for the CC plant
case).
At first glance the SOFC systems seem to be oversized as
they run for a long time in part-load and the portion of the
heat demand covered by the auxiliary gas boiler is quite
small. But a special feature of SOFC based cogeneration
devices is their characteristic of increasing electrical efficiency towards lower part loads, and thus of better performance in terms of NRPE demand and CO2-eq emission. The
limiting factor for sizing is the assumed requirement that the
system may not be shut off, as this may induce stack
degradation problems. Therefore the system capacity is
determined by the condition not to produce surplus heat
during the season with the lowest heat demand at the
smallest possible modulation rate.
Not only the electric and overall efficiencies of the CGD but
also the assumed grid electricity mix play a key role. The
dominant role of the assumed electricity grid is confirmed, as
already demonstrated in earlier performance assessments of
residential cogeneration systems [19] and also shown in
preliminary assessments of polygeneration systems [27].
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8.
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Conclusions
The performance of building integrated SOFC polygeneration
systems is dependant (i) on the performance of the SOFC device,
(ii) the polygeneration systems configuration with heat (and
cold) storages, TDC device and control, and (iii) the respective
building with its heating and cooling loads and electric demand.
For the assessment of (annual) energy and emission, building
simulation tools are employed, incorporating simplified models
of SOFC and similar cogeneration devices. Normally, input data
for such models must be determined empirically.
In this paper, series of modelling steps are presented where
these input data were generated by a SOFC system model,
specifically developed for this task, were SOFC cell and stack
module and BoP components are modelled in detail and
different cell and system configurations can be optimised.
Thus, the methodology and models presented allow
directly on the one hand studying the effects of changes in
SOFC cell and system configurations and in BoP components
on the SOFC system performance, and on other hand assessing the influence of different SOFC system performance
characteristics on the polygeneration system performance in
its building integrated context.
This is demonstrated for two SOFC systems integrated in
a multifamily house. Compared to internal combustion based
cogeneration and to traditional gas burner/mechanical
chiller/grid electricity supply technology, significant savings
in both energy and CO2 emissions resulted, especially when
an UCTE electricity grid mix was assumed.
Acknowledgements
A part of this work was supported by the European Commission;
project PolySMART (Contract No TREN/46/FP6EN/S07.64055/
019988). Only the author’s view is reflected, and the European
Community is not liable for any use that may be made of the
information contained therein.
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Nomenclature
Latin letters
HHV: Higher heating value, J mol 1
LHV: Lower heating value, J mol 1
_ Molar flow rate, mol s 1
n:
n_ H2; consumed : Hydrogen consumed in each channel, mol s
PAC,Net: Net system AC power output, W
PDC: power output, W
Q_ CHP : System output heat, J s 1
UF: Fuel utilization
Greek letters
h: Efficiency (%)
lCell : Air excess ratio
Sub scripts
An: Anode
Ca: Cathode
CHP: Combined Heat and Power
E: Electric
F: Fuel
In: Inlet
Stack: SOFC stack
Sy: System
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