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Biomass fueling of a SOFC by integrated gasifier: Study of theGennaro Campitellib, Stefano Cordinera, Mridul Gautamb, Alessandro Mariania, Vincenzo Mulonea,* a Dipartimento di Ingegneria

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Biomass fueling of a SOFC by integrated gasifier: Study of the

Gennaro Campitellib, Stefano Cordinera, Mridul Gautamb, Alessandro Mariania,

Vincenzo Mulonea,*

a

Dipartimento di Ingegneria Industriale, Universita` di Roma “Tor Vergata” via del Politecnico 1, 00133 Roma, Italy

bMechanical and Aerospace Engineering, West Virginia University ESB, Evansdale Drive, Morgantown, WV 26506-6106, USA

a r t i c l e i n f o

Article history:

Received 14 May 2012

Received in revised form

21 September 2012

Accepted 3 October 2012

Available online 30 October 2012

Keywords:

Solid oxide fuel cells

Biomass gasification

Fuel cell modeling

Thermal integration

a b s t r a c t

Biomass gasification can be efficiently integrated with Solid Oxide Fuel Cells (SOFCs) to properly deploy the energy content of this renewable source and increasing the ratio of electric to thermal converted energy The key objective of this work is to analyze in

a systematic and wide process the integration of a biomass gasifier process with the SOFC operation In particular the work aims at identifying the role of SOFC H2utilization as

a basic parameter to maximize the system output and avoid gasifier bad operation issues such as tar production and carbon deposition An efficient simulation framework is used to that purpose allowing for a detailed analysis of the influence of key driving parameters The performance of the integrated system is thoroughly analyzed in the range of 1e2 kW electric power by also varying the input biomass characteristics in terms of Moisture Content (MC) Results show how a variation of the SOFC H2utilization, a parameter whose effects are also correlated with the gasifier air requirement, affects electrical power output also depending on the biomass Moisture Content

Copyrightª 2012, Hydrogen Energy Publications, LLC Published by Elsevier Ltd All rights

reserved

1 Introduction

Power production from biomass may represent a significant

way to limit CO2emissions and deploy the local availability of

energy sources Biomass is, in fact, the fourth largest source of

energy in the world, accounting for 15% of world’s primary

energy consumption; this number is consistently higher,

reaching 38%, in the developing countries[1,2] However, due

to the limited volumetric energy content, the high potential of

biomass is more suitable within the Distributed Generation

(DG) power production concept that foresees the use of small

size (from few to about 500 kWe) power plants In such

a characteristic size, the combined generation of heat and

power is of utmost importance to guarantee the best fuel exploitation, and reach the maximum as possible total effi-ciency htot¼ helþ hthwhich accounts for both thermal and electric use of the converted energy, commonly in excess of 0.8e0.9 Depending on the specific application, different values of the electrical to thermal power ratio may correspond

to same total efficiencies htot, depending on both technology and system characteristic power size

Several integration strategies are currently available, allowing for the use of biomass for energy conversion, which may either be based on traditional technology (i.e micro-turbines, internal combustion engines or Organic Rankine Cycles ORC turbines) having electric efficiency in the range of

5 Presented at the ASME 4th European Fuel Cell Technology and Applications Conference, December 14e16, 2011

* Corresponding author Mechanical Engineering Dept., University of Rome “Tor Vergata”, via del Politecnico 1, 00133 Rome, Italy Tel.: þ39 06 72597170; fax: þ39 06 2021351

E-mail address:mulone@uniroma2.it(V Mulone)

Available online at www.sciencedirect.com

journal home page: www.elsevier.com/loca te/he

0360-3199/$e see front matter Copyright ª 2012, Hydrogen Energy Publications, LLC Published by Elsevier Ltd All rights reserved

http://dx.doi.org/10.1016/j.ijhydene.2012.10.012

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15e20%[3,4] or use H2as an energy vector [5] Among the

thermo-chemical conversion technologies, biomass

gasifica-tion is a popular opgasifica-tion giving high overall electric efficiency

[2,6e8], especially as far as more complicated layouts are

concerned, such as microturbine-fuel cell hybrid [9] An

accurate system integration would nevertheless be required

in this case to guarantee a better deployment of the biomass

energy potential

The combination of highly efficient Solid Oxide Fuel Cells

(SOFCs) and gasification systems is an effective technology for

reaching both energy and economic feasibility of combined

heat and power production [10] In this case, in fact, the

syngas can directly feed the fuel cell, which is tolerant to CO

and able to directly or indirectly convert the CH4contained in

the producer gas In the integrated biomass gasifiere SOFC

system, special attention must be given to the three main

system components (gasifier, gas processing unit and fuel cell)

while still maintaining the system complexity minimum as

possible not compromising the long-term stability of the fuel

cell at the same time[11]

The coupling of SOFCs to gasifiers is discussed in several

studies[12e16] Experimental and modeling activities are

re-ported aiming at identifying the most efficient configuration

of key operating parameters on the performances of the

different components and at analyzing the influence of syngas

composition on the fuel cell performance[17,18]

From the modeling point of view, some papers describe the

effect of basic syngas fueling on cell performance by using a

0-D representation [16], whereas the influence of Fuel Cell

design parameter is also evaluated in detail (either by

multi-dimensional modeling or direct experimental testing) to

understand the difference in operation when feeding the cell

with hydrogen or methane or with syngas characterized by

different composition

Among the others, thermal integration of the different

components is a key aspect in the development of sustainable

solutions as it potentially allows for a considerable increase of

electric efficiency hel[19,20] Depending on the design,

gasifi-cation may be autothermal or allothermal whereas the SOFC

may be operated under different fuel utilization conditions To

the aim of sustaining the gasifier operation and producing

syngas characterized by high energy content (e.g Lower

Heating Valuee LHV) as well as a more favorable H2/CO ratio

[19e22], system optimal configuration may be different from

what is required for the single component Moreover, solid

carbon deposition issues may arise thus requiring the use of

steam to avoid the rapid clogging of FC channels This issue

may be the target of a specific optimization strategy while

operating with standard biomass feedstock, which may

generally be characterized by high Moisture Content (MC) and

contain enough water to face with the cited issues The correct

use of this water content is nevertheless a function of required

energy for steam production to sustain the steam reforming

regime This energy may be recovered from the SOFC off-gas

cooling but requires specific design and control of the

inte-grated systems However, in the cited papers, a key parameter,

such as fuel utilization, and more specifically the utilization of

H2that is the main gaseous reactant responsible of

electro-chemical reactions especially at average (e.g 0.6e0.7 V) voltage

operating conditions[23], is imposed as a constant[24], or the

impact of its variation is not even discussed[21] In this paper the role of this parameter is studied from the point of view of system efficiency and has been varied accordingly in order to evaluate the combined effects on fuel cell efficiency (which may increase if more H2 is available to the electrochemical reaction) and the corresponding losses at a system level Special focus has also been given to the analysis of the varia-tion of feedstock characteristics, in terms of biomass MC, that may easily change during normal operation for biomass fueled power production systems

To the presented aim, a 0-D model describing the power plant, including a gasifier, a SOFC and all the thermal exchangers providing integration heat, has been developed and implemented under the Matlab/Simulink environment The model has been used to make a wide screening of oper-ating conditions and identify the most efficient ones The details of the used models for the single components and the overall system are given in the next section whereas results are illustrated in a specific section

2 SOFC-gasifier integrated 0-D model

A numerical model, that comprises two main sub-modules, has been implemented to represent the behavior of a SOFC coupled to an integrated downdraft gasifier In fact, updraft and downdraft technologies are usually preferred to fluidized bed for small size applications especially for temperature control issues[25] The downdraft technology was moreover selected for the low tar yield, that is particularly important for SOFC fueling [26,27] According to the system schematic provided inFig 1, the downdraft gasifier is directly fed with wet biomass, and is thermally integrated by the SOFC off-gases after combustion in the burner The system includes another heat exchanger to pre-heat the SOFC feeding air The 0-D approach has been selected, as it is characterized by affordable computational timings for optimization analyses The overall model has been implemented in Matlab-Simulink computational environment Synthetic details of the two modules are given in the following two sub-sections

This module predicts the syngas chemical composition downstream of the gasifier in terms of gaseous species mass

Fig 1e Schematic of the system: SOFC fed by integrated biomass gasifier

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fraction and overall HHV as functions of the inlet MC of the

woody biomass

Chemical equilibrium is assumed for all reactions and

implies that pyrolysis products are all consumed into the

reduction zone before they leave it The global gasification

reaction taken into account [28]may be written for woody

material (CH1.44O0.66) as

CH1:44O0:66þ wH2Oþ mO2þ 3:76mN2/x1H2þ x2COþ x3CO2

þ x4H2Oþ x5CH4þ 3:76mN2

(1) where w is the amount of water per mol wood, related to the

biomass MC as shown below

w¼18ð1  MCÞ24MC

m is the amount of oxygen per mol wood, and xiare the molar

fractions of gaseous product unknowns

The energy balance may be written instead as follows:

dHfwoodþ wdHH 2 OðlÞþ dHint¼ x1dHH 2þ x2dHCOþ x3dHCO 2

þ x4dHH 2 OðvapÞþ x5dHCH 4

where dHfwoodis the wood standard enthalpy of formation,

while dHintis the integration heat term given by the burner

under the assumption of exploiting the residual heating value

of the syngas composed by H2, CO and CH4 The energy

balance, along with elemental balances, equilibrium

constants, and further chemical reactions such as methane

formation and water gas shift reactions, constitute a three

non-linear equation set

Experimental data[29]in the case of adiabatic condition

(dHint¼ 0) have been used to validate this module The effect

of the input biomass MC on the syngas composition in terms

of dry basis volume fractions is shown in Fig 2 First, CO

decreases with MC increment as expected Hydrogen and

carbon dioxide increase with MC, while methane fraction is

negligible (1%) High N2fraction is observed all over the entire

MC range[30]

Table 1 shows the validation of this module against experimental data[29] This has been performed in terms of syngas heating value for different operating temperatures and

MC equal to 0.2 For a wide temperature range where the SOFC

is expected to operate, the heating value leads to appreciable predictive accuracy The availability of enough residence time (that is a function of the gasifier specific design) and temper-ature, allow chemical reactions to almost reach equilibrium, thus giving relatively low errors overall In summary, this module is capable of evaluating the amount of air required for gasification of the selected biomass and the syngas composi-tion by only using biomass water content w, operating temperature and integration heat (dHint) as input data

The SOFC module, that is based as mentioned on a 0-D approach, is capable of representing a planar stack under steady state operating conditions[19,20] The main assump-tions are that the cell is isothermal, H2is the only gaseous species participating to electrochemical reactions, and the SOFC H2fuel utilization is a constant input parameter Water Gas Shift (WGS) reaction is also taken into account to calculate further H2production via H2O in the SOFC anode This has been modeled at its equilibrium state with an operating temperature equal to the SOFC, and atmospheric pressure The equilibrium constant of reaction is evaluated by van’t Hoff isothermal assumption and according to reactants and products molar fractions

Fig 2e MC effect on outlet gasifier composition (T [ 1073 K)

Table 1e Volumetric heating value [MJ/m3] as a function

of temperature [K]: experimental-numerical comparison

in the case of MC[ 0.2

1023 4.812 4.9 1.8

1073 4.739 4.8 1.3

1123 4.638 4.5 3.0

1173 4.517 4.6 1.8

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Kp¼ Kc¼ ½CO2½H2

½CO½H2O

Since residual moles may be computed as follows:

nCO res¼ nCO initð1  a1Þ

nH 2 O res¼ nH 2 O initð1  a2Þ

moles of H2yielded with the WGS are

nH 2¼ nCO inita1¼ nH 2 O inita2

and the equilibrium constant can be expressed as

KC¼ nCO inita2

nH 2 O initð1  a1 a2þ a1a2Þ

By solving this equation set and applying Hesse’s law, the

new syngas composition available for the SOFC is obtained as

well as enthalpy balance of the WGS reaction

The cell voltage is defined as

where EMF is the open circuit ideal voltage according to the

Gibbs free energy at the imposed temperature, whereas

modeling of the three losses is implemented via electrolyte

resistance and thickness (DEOHM), Tafel equation (DEACT) and

as a function of H2partial pressure via the SOFC H2utilization

(DECONC)[19,20]

Ohmic losses are computed as follows:

DEOHM¼ RE$Jt

where Jtis the current density and REis the electrolyte

resis-tance defined as

RE¼le

se

with leand seequal to electrolyte thickness and conductivity

respectively The last one is evaluated by using the formula

se¼ b1eb2 =T½U$m1

where b1and b2are coefficients describing the YSZ electrolyte

behavior[22,31e35]

Overpotential losses have been modeled for anode and

cathode according to Tafel’s law

DEACT¼ ACAT$ln



Jt

J0 CAT



þ AAN$ln



Jt

J0 AN



where the cathode gives the main contribution, and ACAT/AAN

are defined as

ACAT¼ RT

2FgCAT

AAN¼2FgRT

AN

Exchange current density values J0are affected by molar

fractions of species evolving at the anode and cathode

respectively and thus the fuel utilization mffactor plays a key

role for their evaluation

J ¼ 1$108x x e100$103=RT

A=m2

J0 CAT¼ 5:5$108 xO 2

0:25

e120$103=RT

A=m2 with

xO 2¼ l  mf

l

0:21 mf

¼ nH

2 , init

1 mf

_mTOT

xH 2 O¼ nH

2 ,

O initþ nH

2 , init$mf_mTOT

In the presented equations l is the air fuel ratio, which is usually in the range 2< l < 4[36,37]for syngas fueled SOFCs, while _mTOTis the minimum syngas molar flow rate at the inlet SOFC section to allow for H2oxidation n

H 2 , initand n

H 2 ,

O initare the molar flow rates, for H2and H2O respectively

Concentration losses due to mass transfer limitations are taken into account according to the 0-D modeling approach and the fuel utilization The whole phenomenon has been represented by using two different formulas

DECONC¼RT2F$ln PH 2 init=PH 2 final



DECONC¼ m$en$J t

The first equation better represents concentration losses when current density is low and the major part of the H2is still available The second equation instead is empirical and represents fairly well the partial pressure decrease effect at high current density due to mass transfer limits

Data of a SOFC modeled with 1-D approach and fed with pure H2[21]have been used for validation Voltage and current density at different temperatures and mf’s have been inves-tigatedand are provided inTable 2 It can be observed how the maximum power density [W/m2] output at isothermal condition (T¼ 1073 K) matches reasonably well with the lower

mfcases, while, for fixed mfcases (at 0.8), better results have been obtained at lower operating temperatures

In summary, given the satisfactory agreement with a 1-D model, the SOFC 0-D module here presented has been considered capable of evaluating cell voltage, current density and H2, CO, CH4, residual molar fractions for a unit cell unit in planar configuration once given as inputs the electrolyte characteristics, operating temperature and syngas character-istics in terms of species molar fractions

Table 2e Comparison of the 0-D SOFC model (current work) with a literature available [21] 1-D SOFC model in terms of power density [W/m2] as a function of

temperatureT [K] (at fuel utilization[0.8) and fuel utilization [$] (at temperature[1073K)

1023 578.4 600 3.6

1123 1602 1720 6.92

1223 2997 3250 7.78

mf 0-D model 1-D model Error % 0.85 759.8 750 1.29 0.95 396.3 430 7.84

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2.3 Algorithm of the numerical model

The presented numerical model is composed by several

modules interacting until the steady Gasifier-Solid Oxide Fuel

Cell energy system operating point is attained A flow diagram

of the numerical model is provided inFig 3to better

under-stand the solution algorithm

Fig 3 shows how air pre-heating and reforming require

a certain amount of heat which has to be assured for the

energy system sustainability If these two requirements are

not satisfied, the input setting imposed is considered by the

model as invalid to run the whole energy system Conversely,

with an input setting which yields extra heat at the burner, the

integration process at the gasifier is considered physically

consistent

3 Analysis of results

The model has been applied to the analysis of the main

performance parameters of the SOFC and the integrated

system, when fueled with woody biomass The influence of

biomass MC by varying fuel cell operating conditions has been

analyzed to define the best compromise among power density

and efficiency of SOFC and thermal balance of the system

This is in fact directly influenced by the following operating

aspects:

 The gasifier regime, that is primarily defined, given the

operating temperature, by the air mass flow rate, whose

variation has a high impact on syngas composition and

yield;

 The SOFC H2fuel utilization, which is an operating

param-eter linked to the electrochemical exploitation of the cell

active area

The SOFC active area has been considered equal to 1 m2,

while the woody biomass inlet flow has been set to about

1 kg/h (dry basis) and constant, corresponding to an input thermal power in the range of 4.5 kWth The SOFC operating voltage has been controlled in the code to lie in the range 0.6e0.65 V, that gives an optimal compromise between cell power density and efficiency

A first comparison between the performance of the auto-thermal and auto-thermally integrated layouts has been analyzed

by means of the system model at biomass MC¼ 0.4 Results are given inTable 3, confirming the increase in efficiency of the integrated system (hsys,integ¼ 37.7% vs hsys,autoth¼ 24.7%) The higher system performance has been achieved despite the lower total fuel utilization, while the SOFC efficiency has been kept in the optimal range of 50% System efficiency increase has then been observed for the better gasifier oper-ating regime, which allows for a different syngas composition, that is reported inTable 3 A remarkable increase in terms of

H2 concentration is in fact obtained with the integrated system (48.5% vs 17.8% on a volume basis) This has been achieved by a drop in gasifier air flow rate, that leads to both the decrease in N2 concentration, i.e no related transport losses occur in the SOFC, and to a lower O2flow rate (almost

0 vs 0.69 kg/h) that is possible as heat is provided by the combustion of SOFC off-gas, according to the schematic of

Fig 1 This basically means that the gasifier, due to the high biomass MC (0.4), is operating under “steam reforming like” regime with no O2, that would otherwise be unfeasible without the thermal integration Thus, the drop in SOFC fuel utilization is not indicative of fuel waste, but rather of better gasifier operation that eventually leads to higher system efficiency

Three different MCs have then been further analyzed for the integrated system: 0.1, 0.3 and 0.5 by further assuming constant SOFC H2utilization (0.8) The effect of MC is such that

a higher electric power is delivered by the SOFC going from

MC¼ 0.1 to MC ¼ 0.3 conditions, meaning that fuel utilization

is enough to thermally sustain the gasifier and allowing for

a decrease in air (i.e O2) flow rate (red curve inFig 4) The situation radically changes going from MC¼ 0.3 to MC ¼ 0.5 conditions: in fact, MC is so high that the integration heat

dHint is not enough to support the gasifier via the off-gas combustion This is also linked to the SOFC H2 utilization, that has been thus identified as primarily important

Fig 3e Whole numerical model flow diagram

Table 3e Comparison of system performance parameters between thermally integrated and autothermal gasifiers

System performance parameter

Integrated Autothermal

Current [A/m2] 3045 2129 Voltage [V] 0.64 0.60

hSOFC 51.3 48.0

hSYS 37.7 24.7

O2[kg/h] 0.004 0.690

H2[%mol] 48.5 17.8

CO [%mol] 28.3 9.4

CO2[%mol] 9.7 14.0

H2O [%mol] 12.4 19.8

CH4[%mol] 0.7 0.1

N2[%mol] 0.4 39.0

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parameter Results are reported inFig 5, where the effect of

the variation of SOFC H2utilization has been added It may be

observed that, as a general trend, the lower SOFC H2

utiliza-tion operating condiutiliza-tions have to be avoided In fact, despite

the theoretically high availability of integration heat, a high

amount of air (O2flow rate in the Figure) is required to let the

SOFC operate at the selected operating voltage This also leads

to a poor exploitation of the SOFC off-gas that is evident by the

analysis ofFig 6, where dHintis reported as a function of SOFC

H2utilization and MC dHintrepresents the amount of the

off-gases enthalpy that is actually utilized in the biomass gasifier

It thus appears that low energy is required by the gasifier

to operate if air flow is sufficiently high, as in the already

commented operating conditions with low SOFC H2utilization

and MC

An increase in the electric power output is observable with

H2fuel utilization at any of the proposed MCs This is directly

related to the decrease in required O2flow rate (againFig 5) At

the same time, the integration heat dHint (again Fig 6) is

increased, as an opposite effect to the decrease of O2flow rate:

in other words, the gasifier is moving more toward a “steam

reforming like” operating regime However, a peak in dHintis

observed, more evident for the higher MC values (e.g

MC¼ 0.5), as far as higher than 0.8 SOFC H2utilizations are

approached That peak indicates that a limit is achieved in

terms of thermal integration potential that is due to two

concurrent phenomena:

1) The heating value presented by the off-gas is decreased by

the higher exploitation of the SOFC at higher SOFC H2

utilizations

2) Higher MCs allow the gasifier to produce syngas

charac-terized by higher H2/CO ratio further giving much more

favorable water gas shift behavior into the SOFC [19,20]

This is key to both have the SOFC operating much closer to

pure H2 fueling operating conditions, as well as having

much lower off-gas waste

3) The peak in power is also obtained at the minimum in

terms of O2request, further testifying that criteria based on

the gasifier air requirement are practically equivalent to optimize the SOFC H2utilization

InFig 7, the plot of current density is given, whose trend is exactly similar to the power curve plotted inFig 5 On the other hand efficiency, again in Fig 7, presents a slightly different trend since the biomass LHV (being the denominator

of efficiency) is also affected by MC Thus, the difference between maximum efficiencies at 0.5MC and at 0.3MC is higher than the same difference in terms of power

Finally, the link between air (O2) requested by the gasifier and integration heat (dHint) is extremely important, and the capability of the gasifier to work with minimum air request has to be sought, along with the control of SOFC operating voltage Among the cases reported inFig 5, optimal operating conditions in terms of SOFC H2utilization or O2requested flow rate may be selected depending on the specific biomass MC, further confirming that high MC operating conditions should

be preferred in terms of electric power maximization

Fig 4e Electric power of FC (kW), H2production (%) and

required O2mass flow (m3/h) as functions of MC at

constant SOFC H fuel utilization equal to 0.8

Fig 5e Electric power (kW) and required O2mass flow (m3/h)

as functions of SOFC H2fuel utilization and biomass MC

Fig 6e Efficiency (%) and current density (A/m2) as functions of SOFC H fuel utilization and biomass MC

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4 Conclusions

The operation of a SOFC fed by an integrated biomass gasifier

has been demonstrated to highly depend on cell operating

conditions, and specifically on SOFC H2utilization, that is also

correlated to gasifier air requirement, and the biomass

Mois-ture Content (MC) In fact, gasifier operation, and more

specifically its steam, autothermal or intermediate operating

regime, determines a great difference in terms of SOFC flow

rate and syngas composition

Obtained results allow to draw the following main

conclusions:

 At constant cell operating voltage and MC operating

condi-tions, the thermally integrated system gives much better

performance in terms of power output and system electric

efficiency (37.7% vs 24.7%) The MC (i.e available H2O) and

integration heat are thus used to operate the gasifier more in

the steam operating conditions rather than autothermal

That is also indicated by the almost zero requirement in

terms of gasifier air flow rate

 System performances are highly dependent on SOFC H2

utilization, that has a direct impact on gasifier operating

conditions via its thermal integration by the combustion of

the SOFC off-gases

 SOFC H2 utilization influences the system performance

mainly by two effects: air flow rate is more important in the

low SOFC H2utilization end, where the selected cell voltage

is achievable only with high air flow rate; the limitation in

terms of integration heat dHintis instead more evident in

the higher SOFC H2utilization end where air is required to

thermally sustain the gasifier

Nomenclature

dH enthalpy variation

E cell voltage, overpotentials

F Faraday coefficient

K equilibrium constant

l electrolyte thickness

_n molar flow rate

R electrolyte resistance

x molar coefficients Greek symbols

b thermal conductivity coefficients

l air fuel ratio

s thermal conductivity Subscripts and superscripts

c, conc concentration

r e f e r e n c e s

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