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Effect of operating parameters on performance of an integrated biomass gasifier, solid oxide fuel cells and micro gas turbine system

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Effect of operating parameters on performance ofan integrated biomass gasifier, solid oxide fuel cells and micro gas turbine system Junxi Jiaa,*, Abuliti Abudulab, Liming Weic, Baozhi Su

Trang 1

Effect of operating parameters on performance of

an integrated biomass gasifier, solid oxide fuel cells

and micro gas turbine system

Junxi Jiaa,*, Abuliti Abudulab, Liming Weic, Baozhi Suna, Yue Shia

aCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China

bNorth Japan Research Institute for Sustainable Energy, Hirosaki University, Aomori 030-0813, Japan

cSchool of Electric and Electronic Information Engineering, Jilin Jianzhu University, Changchun 130118, China

a r t i c l e i n f o

Article history:

Received 13 October 2014

Received in revised form

5 February 2015

Accepted 6 February 2015

Available online

Keywords:

Biomass gasification

Solid oxide fuel cell

Chemical equilibrium

Kinetics model

Combined heat and power

a b s t r a c t

An integrated power system of biomass gasification with solid oxide fuel cells (SOFC) and micro gas turbine has been investigated by thermodynamic model A zero-dimensional electrochemical model of SOFC and one-dimensional chemical kinetics model of down-draft biomass gasifier have been developed to analyze overall performance of the power system Effects of various parameters such as moisture content in biomass, equivalence ratio and mass flow rate of dry biomass on the overall performance of system have been studied by energy analysis

It is found that char in the biomass tends to be converted with decreasing of moisture content and increasing of equivalence ratio due to higher temperature in reduction zone of gasifier Electric and combined heat and power efficiencies of the power system increase with decreasing of moisture content and increasing of equivalence ratio, the electrical efficiency of this system could reach a level of approximately 56%.Regarding entire conversion of char in gasifier and acceptable electrical efficiency above 45%, operating condition in this study is suggested to be in the range of moisture content less than 0.2, equivalence ratio more than 0.46 and mass flow rate of biomass less than 20 kg h1

© 2015 Elsevier Ltd All rights reserved

1 Introduction

Biomass is supposed to be one of the most common renewable

sources used for power generation[1] Biomass gasification

(BG) technology has been used to produce syngas and

electricity, from laboratory scale test to some demonstration

scale plants Although low energy density and seasonal

availability of biomass lead to both the high transport cost and

high capital cost of biomass plants, it has potential of being

commercialized to produce hydrogen in the future[2] Solid oxide fuel cell (SOFC) is considered one of the most important energy technologies for its high efficiency and low environ-mental impact It is ideal for syngas conversion due to its high operation temperature[3e5]

Integration of BG with SOFC has received more attention as

a potential substitute for fossil fuels in electric power pro-duction since it combines the merits of renewable energy sources and hydrogen energy systems

* Corresponding author

E-mail address:jiajunxi99@sohu.com(J Jia)

Available online at www.sciencedirect.com

ScienceDirect

http://www.elsevier.com/locate/biombioe

http://dx.doi.org/10.1016/j.biombioe.2015.02.004

0961-9534/© 2015 Elsevier Ltd All rights reserved

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Thermodynamic analysis of BG and SOFC hybrid systems

have been reported by many researchers[6e14] These studies

mainly focus on effect of operating conditions on overall

performance of the power systems

Athanasiou et al.[8]and Cordiner et al.[9]investigated an

integrated process of biomass gasification and solid oxide fuel

cells system, the overall electrical efficiency could reach very

high level of more than 40%.Fryda et al.[10] assessed the

combination of BG with SOFCs and micro gas turbine (MGT)

Their results show that an electrical efficiency of 40.6% could

be achieved at elevated pressures A hybrid plant consisting of

gasification system, solid oxide fuel cells and organic Rankine

cycle has been presented by Pierobon et al.[11] The results

show that efficiencies over 54% can be achieved Colpan et al

[12]studied the effect of gasification agent (air, enriched

ox-ygen and steam) on the performance of an integrated SOFC

and BG system The results show that using steam as the

gasification agent yields the highest electrical efficiency of

41.8%.Rokni et al [13] reported a hybrid plant producing

combined heat and power (CHP) from BG, SOFC and a MGT An

electrical efficiency of 58.2% has been reported resulting from

optimization efforts

Recently, Campitelli et al.[14]have invested the effect of

operating conditions on BG-SOFC systems performance The

influence of H2utilization of SOFC and moisture content in

biomass have been analyzed in details In their work, a

zero-dimensional chemical equilibrium model was used in

gasifier The authors did not take into account any char

con-version in the reduction zone of gasifier

Most of gasification models adopted to analyze the

per-formance of BG, SOFC, and GT system mentioned above[6e14]

are based on thermodynamic equilibrium as those reported in

Refs.[15e18] These equilibrium models are developed by the

thermodynamic parameters based on minimization of Gibbs

free energy Although these pure equilibrium models are

relatively easy to be applied with fast convergence, they have

certain limitations such as considering sufficient residence

time, high reaction temperature, and fast reaction rates The dying, pyrolysis and oxidant process is assumed to be lumped together in a single reaction The gas compositions and tem-perature remains essential uniform in gasifier rather than variable with the height of the gasifier All the char is assumed

to be completely consumed before leaving the gasifier, which could not take place in actual gasification process

Since few of chemical kinetic model of gasifier is available for analysis of an integrated BG, SOFC, and GT system, in this paper kinetics model of downdraft biomass gasifier is pre-sented in order to overcome the limitations of the equilibrium model The gas composition, reaction temperature, and un-reacted char are predicted along height of the reduction zone Effect of process parameters, such as moisture content, equivalence ratio and mass flow rate of dry biomass on char flow rate and overall performance of BG, SOFC and GT system

is examined Energy analysis is applied by thermodynamic model Regarding entire char conversion and acceptable sys-tem efficiency, the suggested operating conditions are proposed

2 System description

A schematic of an integrated biomass gasification, SOFC and

GT system is shown inFig 1 Biomass enters a dryer and its moisture content is reduced to a level acceptable by gasifier Air, oxygen and steam may be used as gasification agents In this work air enters a downdraft gasifier The syngas produced

by gasification is cleaned up after entering a hot gas cleaning unit according to the tolerance limits of SOFC Then, the cleaned syngas enters the SOFC, where electricity is produced The depleted fuel and air enter a combustor to burn The high temperature and pressure effluent from the combustor is expanded through GT to generate mechanical power, which is used to generate electrical power The GT exhaust is used to increase the temperature of air supplied by compressor to the

Fig 1e Integrated biomass gasifier, SOFCs and GT system

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SOFC Then the stream of burned gas supplies heat to a steam

generator, where feed water for user takes up the heat up to

its corresponding saturation temperature at pressure of

121.59 kPa Finally, the stream gives heat to the dryer and goes

into the atmosphere

3 Model description

In order to analyze drying of wet biomass prior to gasification,

it is assumed that the initial moisture content of wet biomass

is 40% After drying, wet biomass in which water mass

frac-tion of 10%e30% enters a gasifier The chemical equafrac-tion the

dryer is shown as:

CHaObNpþ wtotalH2OðlÞ¼ CHaObNpþ wH2OðlÞþ wvH2OðvÞ (1)

The enthalpy of evaporation for water is 44.011 kJ mol1at

25C

3.2 Gasifier

The structure of a downdraft gasifier in this work is shown in

Fig 2, the dimensions of the gasifier are similar to that from

Jayah et al.[19]

The gasifier is divided into two parts: pyrolysis-oxidation

zone where pyrolysis and oxidation reactions take place and

reduction zone, where the reduction reactions occur The

output data from the exit of the pyrolysis -oxidation zone are

transferred as input data to entrance of the reduction zone

3.2.1 Model of pyrolysis-oxidation zone

The global reaction in the pyrolysis-oxidation zone can be

written as

CHaObNpþ wH2Oþ mðO2þ 3:76N2Þ

¼ x1H2þ x2COþ x3CO2þ x4H2Oþ x5CH4þ x6N2þ x7C (2)

In order to analyze the effects of air supply and moisture content of biomass on process of gasification, moisture con-tent (MC) of biomass and equivalence ratio (ER) are defined as

MC¼ Masswater

Masswaterþbiomass¼ð12 þ a þ 16b þ 14pÞ þ 18w18w (3)

ER¼ Airactural

To solve the problem, equilibrium reactions are required The two equilibrium reactions in the pyrolysis-oxidant zone are

The equilibrium constants for them are

K1¼x5nT

x2P0¼ exphG0

T;CH 4 2G0

T;H 2



K2¼x1x3

x2x4¼ exphG0

T;H 2þ G0 T;CO 2 G0 T;CO G0 T;H 2 O



=ðRmTÞi (8) where nTis total mole of the syngas, P0is total pressure The energy balance equation can be written as (assuming

no heat loss and work¼ 0)

Hbiomassþ wHH 2 Oþ mHO 2þ 3:76mHN 2

¼ x1HH 2þ x2HCOþ x3HCO 2þ x4HH 2 Oþ x5HCH 4þ x6HN 2þ x7HC

(9) The values of unknownsx1, x2, x3, x4, x5, x6, x7and the re-action temperature T are determined by eight equations These equations are four atom balances, one fixed carbon balance, two chemical equilibrium equations and one energy balance equation The values of the thermodynamic proper-ties are adopted from Perry[20]

Once tow equilibrium constants are calculated at a tentative temperature, thex1, x2, x3, x4, x5, x6 ,x7 are

Fig 2e Schematic diagram of a downdraft gasifier and reduction zone for calculation

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determined by solving the equations using NewtoneRaphson

method Then, the temperature is obtained by bisection

method This temperature is taken as the initial temperature

for the next iteration until a specified convergence criterion is

obtained

3.2.2 Model of reduction zone

The output data from the exit of the pryo-oxidation zone is

transferred as input data to entrance of the reduction zone

The control volumes of reduction zone for calculation are

shown inFig 2

The reduction reactions considered in this zone are

These four chemical reactions are considered to be

reversible The specific reaction rates are expressed as kinetic

rate equations [21,22] The kinetic rate parameters are

ob-tained as reported by Wang and Kinoshita [23] Thus the

volumetric reaction rate of each chemical reaction can be

written as

rR1¼ CRFAR1exp



ER1

RmT



yCO 2y2CO

KR1



(11a)

rR2¼ CRFAR2exp



ER2

RmT



yH 2 OyH 2yCO

KR2



(11b)

rR3¼ CRFAR3exp



ER3

RmT



y2

H 2yCH 4

KR3



(11c)

rR4¼ CRFAR4exp



ER4

RmT



yH 2 OyCH 4yCOy

3

H 2

KR4

!

(11d) The mass balance for the species i across the control

vol-ume k can be expressed as

nk

i ¼ nk1

i þ Rk

where nk

i is molar flow rate (mol s1),Rk

i is the net rate of

exam-pleRk

H 2¼ rR2 2rR3þ 3rR4,Rk

C¼ rR1 rR2 rR3, etc., DVk is volume of the kth control volume (m3)

The energy balance on the element can be expressed as

X6

i¼1

nk1i Hk1i þ nk1

7 Cp;C

Tk1 T0

¼X6

i¼1

nk

iHk

i þ nkCp;C

Tk T0 (13) Once the equilibrium constants KR1KR4are calculated at a

tentative temperature, Rk

i is determined and nk

i is given by Eq

(12) Then, the gasification temperature of the kth control

volume of the reduction zone is obtained by Eq (13)using

bisection method This temperature is taken as the initial

temperature for the next iteration until a specified criterion is

satisfied

3.3 Filter and scrubber The syngas consists impurities such as tar, sulphur and other contaminant which may cause the degradation of SOFC A gas cleanup unit should be used to clean the syngas There are two options, hot and cold gas cleanup subsystems are supplied, which can be found in Ref.[24]

In this study, a hot gas cleanup unit is chosen After entering filter and scrubber, the syngas are suitable to be used

in SOFC To simplify the calculation, the mass balances of syngas in filter and scrubber are ignored, the mass flow rate of products is supposed to be constant

After leaving the filter and scrubber, the temperature of the syngas is decreased to the level of that at anode inlet Heat loss

of gas cleanup unit may be written as

Q¼X6

i¼1

n3;i$H3;iX6

i¼1

3.4 Solid oxide fuel cell

In general, the ideal reversible potential of H2eO2SOFC can be determined by the Nernst equation

E0¼DG0

2Fln

pH 2$pO 2

1=2

pH 2 O

(16) Nernst potential is reduced to the terminal voltage by the sum of the local voltage polarizations The three polarizations are ohmic, activation and concentration polarization There-fore the cell terminal voltage is given by

The activation polarizations of anode and cathode have been given in literature[25] Ohmic polarization is expressed

by Ohm's law as shown in Ref.[26]

In the SOFC, the overall electrochemical is as follows, which is significantly exothermic

H2þ1

For a BG-SOFC system, usual high operating temperature of SOFC allows sustaining the reforming and shifting reactions

as follows to produce hydrogen

The electric power produced in SOFC is given by

The equation for the energy balance of SOFC is X

i

Hin

k

RkðDHkÞ ¼ WSOFCþX

i

Hout

The energy balance includes the electrical power WSOFCand the enthalpy changes of the chemical and electrochemical re-actions, and gives the evaluation of the average temperature of the stack The detailed description of the electrochemical simulation of SOFC could be found in Refs.[27,28]

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3.5 Combustor

The depleted fuel and air from SOFC enter a combustor to

burn for heat recovery Enough oxygen is supplied so that all

unreacted fuel from SOFC can be consumed That is to say,

complete combustion occurs in the combustor The energy

balance about the combustor is expressed as

X7

i¼1

nin

i

0

@DH0

fþ Z

T in

298

CpdT

1

A ¼X4

i¼1

nout i

0

@DH0

fþ Z

T out

298

CpdT

1

Then the adiabatic combustion temperature can be

deter-mined from Eq.(23)

3.6 Micro gas turbine and compressor

Model of gas turbine and compressor are well described in the

literature[10] To simply the study, it is assumed that the gas

turbine and compressor work at their respective designed

condition under steady-state operation A set of operating

parameters and the assumed efficiencies are given inTable 1

Once the pressure ratio is given, the outlet temperature of the

compressor and gas turbine is given as:

TCOM;out

TCOM;in ¼ TGT;in

TGT;out¼ pk1

Then the compressor work and gas turbine output can be

obtained, respectively

WGT¼ hGT;s

H

TGT;in

where,hsis isentropic efficiency given inTable 1

3.7 Energy efficiencies The performance of BG,SOFC and GT power systems can be evaluated by energy efficiencies Energy efficiency is defined as the ratio of useful energy products to total energy inputs[29] Net electrical power output of the system is expressed as:

Wnet¼ WSOFCþ WGT WCompressor1 WCompressor2 WPump (27) The heating production for user inFig 1is given as:

Therefore, the electrical efficiency, combined heat and power efficiency can be calculated by Equations(29) and (30), respectively

nbiomass$LHVbiomass

(29)

hCHP¼ Wnetþ Q

nbiomass$LHVbiomass

(30)

4 Results and discussion

The output data from the exit of gasifier are transferred as input data to entrance of the SOFC The key parameter in SOFC computation is the air utilization ratio which is dependent on various operating and design data The electrochemical model determines terminal voltage and electric power The energy balance Eq (22)accepts these results from electrochemical model and calculates a new molar flow rate of air at the cathode inlet The air utilization ratio is applied to the elec-trochemical model for the next calculation of cell terminal voltage and power until the convergence is obtained For the whole system model, since the calculation of heat exchanger need the heating fluid parameters such as the gas temperature at the combustor exit, which are not known at the beginning of the simulation, a set of initial parameters has

to be assumed in order to run the system model until convergence is met eventually A set of operating parameters and the assumed efficiencies of the system components are given inTable 1 The power system is simulated using Matlab 7.0

The present model has been validated against the experi-mental results of Jayah et al.[19] Comparison of predicted and measured gas composition at gasifer exit is shown inFig 3 Comparison of the temperature distribution with the experi-mental result is shown inFig 4 The species concentrations at the gasifier exit are obtained from the data of the last control volume of the reduction zone

This work did not take into account the heat loss in the gasifier, the molar fractions of CO, H2and CH4contents are slightly higher than the real values At the same time, the value of N2is slightly less than that of experiment However, the good agreement between the model prediction and the experiment shows the present model is reliable

A parametric analysis is carried out to study the effects of the process parameters (MC, ER and mass flow rate) on the overall performance of the power system

Environmental

Ambient temperature 25C

Biomass data

Ultimate analysis (wt%) 50% C, 6% H, 44% O

Moisture content in biomass 40%

Mass flow rate of dry biomass 10e30 kg h1

Gasifier

Gasifier operating pressure 253.313 kPa

Moisture content of biomass

entering gasifier (State 2)

10%e30%

Molar fraction of air 21%O2,79%N2

SOFC

SOFC operating temperature 800C

Anode inlet temperature 750C

DC/AC inverter efficiency 95%

Peripheral equipment

Isentropic efficiency of compressor 0.75

Pressure ratio of compressor 2.5

Isentropic efficiency of GT 0.85

Outlet temperature of GT (State 11) 790C

Pressure ratio of water pump 1.2

Exhaust temperature (State 14) 130C

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4.1 Effect of MC

Moisture content is one of the important parameters since

most of the biomass contains high percentage of moisture In

this study the original MC is assumed to be 40% After drying,

MC varies between 10% and 30% before entering gasifier As

effect of MC on the performance of power system is analyzed,

only the studied parameter is changed, ER, operating pressure

of gasifier and mass flow rate of dry biomass are constant as

ER¼ 0.42, P ¼ 253.313 kPa and _m¼ 20 kg h1, other input data

are assumed as inTable 1

Figs 5 and 6show the effect of MC on char flow rate and

temperature along the height reduction zone It is observed

that the temperature decreases from the entrance to the exit

of reduction zone and remains lower with higher MC As MC is

higher, much heat generated in gasifier is used to evaporate

the moisture and superheat the vapour, which resulting in the

decreasing of gasifier temperature Accordingly, the char flow

rate is lower with lower MC, because the lower temperature is

unfavourable for char conversion It is seen all the char is

consumed in the reduction zone as MC less than 0.2, while

24% of char is left at the exit of gasifier as MC equal to 0.3

Therefore, the biomass should be dried to the level of 10e20%

for moisture before gasification

Effect of MC on syngas composition is shown inTable 2

Power input and output, combustor temperature, net power

and heat output are also shown inTable 2

It can be seen fromTable 2that the molar fraction of H2and

CO decrease while the content of H2O and CO2increase with the increasing of MC

As seen from theTable 2, the molar fraction of the CH4is far less than other gases at the gasifier exit, most of the carbon

in the biomass is converted into CO At the anode exit of SOFC (State 5), the concentration of CO decrease according to the mildly exothermic water-gas shift reaction in SOFC, the con-centration of H2decreases due to the electrochemical reac-tion, the concentration of H2O increases accordingly The output power of SOFC decreases due to the decreasing

of molar ratio of H2to H2O at the anode inlet as MC increasing which leads to the lower terminal voltage of SOFC The higher the molar fraction of H2O at the exit of SOFC anode, the lower the temperature of the combustor (State 10) The temperature falls by 17 K as shown inTable 2as MC varying from 0.1 to 0.2

It results in the decline of the output of GT Both of the decreasing of output power of SOFC and GT determine the reduction of the system net power On the other hand, with higher MC the heat provided to dryer to evaporate the mois-ture is less, therefore, more heat is left to steam generator The overall performance of the BG-SOFC-GT system is also shown inTable 2 The electrical efficiency decreases by 6% as

MC increasing from 0.1 to 0.2 The electrical efficiency is above 40% as long as MC less than 0.2 The heat efficiency increases

Fig 3e Comparison of predicted and measured gas

composition at gasifier exit

Fig 4e Comparison of predicted and measured

temperatures along the height of the reduction zone

Fig 5e Variation of char flow rate along the height of reduction zone for different moisture contents

Fig 6e Variation of temperature along the height of reduction zone for different moisture contents

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from 21% to 24%.As a result, combined heat and power

efficiency decreases from 67% to 64% as MC increasing from

0.1 to 0.2

4.2 Effect of ER

Effect of equivalence ratio on char flow rate and temperature

along the reduction zone are shown inFigs 7 and 8,

respec-tively MC and pressure of gasifier are constant as MC¼ 0.2,

P ¼ 253.313 kPa and _m ¼ 20 kg h1, other input data are

assumed as inTable 1

It is seen that conversion of char is more remarkable with

higher ER, owing to higher reaction temperature, which

determining the extent of carbon conversion All the char is

consumed in reduction zone on the condition of ER more than

0.42

Gas composition, power input and output, combustor

temperature, net power and heat output for different ER is

shown inTable 3 It shows that the molar fraction of H2, CO2

and N2increase slightly with higher ER, whereas a significant

decrease of the molar fraction of H2O occurs Therefore, the

higher molar ratio of H2to H2O results in the increasing of output power from SOFC The increasing of output power of

GT is due to the higher combustor temperature with higher

ER Although more power given to compressors are required, the overall useful output power from SOFC and GT overweighs the input power for compressors

Effect of ER and MC on char conversion is shown inFig 9 The entire conversion of char is gained if ER and MC is selected above the line

Effect of ER and MC on overall performance of the BG-SOFC-GT system are shown inFigs 10 and 11 Both of elec-trical and CHP efficiencies increase with higher ER For example, the electrical efficiency increase from 41% to 45%, the CHP efficiency from 65% to 71% as ER changing from 0.42

to 0.46 when moisture content and mass flow rate of dry biomass are constants as MC¼ 0.2 and _m¼ 20 kg h1

4.3 Effect of mass flow rate of dry biomass The char flow rate along the height of the reduction zone for different mass flow rates of dry biomass is shown inFig 12 In

Fig 12, ER and MC are constant as ER ¼ 0.42 and MC ¼ 0.2,

and performance of the power system

State

(3)

State (5)

State (3)

State (5)

State (3)

State (5)

H2(%) 18.63 4.58 17.21 4.48 15.88 4.28

CO (%) 17.96 6.06 17.95 5.33 17.15 4.50

CH4(%) 0.003 0.01 0.003 0.01 0.003 0

CO2(%) 11.48 23.38 10.55 23.17 10.09 22.74

H2O (%) 5.02 19.07 8.30 21.03 11.73 23.34

N2(%) 46.91 46.90 45.98 45.98 45.14 45.14

WC1(W) 1724.5 1724.5 1724.5

WC2(W) 21,251 21,866 21,790

WSOFC(W) 35,098 34,431 33,067

T(K)

(State 10)

WGT(W) 34,066 32,842 30,739

Wnet(W) 46,189 43,682 40,291

Heat (W) 20,799 22,456 23,953

Fig 7e Variation of char flow rate along the height of

reduction zone for different equivalence ratios

Fig 8e Variation of temperature along the height of reduction zone for different equivalence ratios

performance of the power system

Trang 8

other input data are assumed as inTable 1 Effect of mass flow

rate on syngas composition and electrical and CHP efficiencies

is shown inTable 4

It is shown that char conversion is more active with

smaller mass flow rate All the char get consumed completely

in the range of less than 20 kg h1 As mass flow rate

decreasing, molar fraction of H2and CO increase, however all

these species don't show significant variation as mass flow

rate changing from 15 kg h1to 25 kg h1 Although the total

work from SOFC and GT and heat are enhanced as mass flow rate increasing, the mass flow rate increase significantly, the electrical and CHP efficiencies are reduced ultimately The electrical efficiency is above 41% in the range of 10 kg h1to

20 kg h1 Effect of ER and mass flow rate on char conversion is shown inFig 13 The entire conversion of char is gained if ER and mass flow rate is selected above the line

Effect of ER and mass flow rate of dry biomass on overall performance of the BGeSOFCeGT system are shown inFigs

14 and 15 Both of electrical and CHP efficiencies increase with smaller mass flow rate For example, the electrical effi-ciency increase from 41% to 46%, the CHP effieffi-ciency from 65%

to 71% as mass flow rate changing from 20 kg h1to 10 kg h1 when ER and MC are constants as MC¼ 0.2 and ER ¼ 0.42 Many variables affect the overall system's electric and CHP efficiencies The total plant performance can be compared to the results of other literature Colpan et al.[12,30]studied the effect of gasification agent (air, enriched oxygen and steam)

on the performance of an integrated SOFC and BG system The results show that the electrical efficiency of the system is 25% with superheated steam and pre-heated air as gasifica-tion agent and the highest electrical efficiency of 41.8% could

be gained using steam as the gasification agent The electrical

Fig 9e Effect of ER and MC on char conversion

Fig 10e Effect of ER and MC on electrical efficiency

Fig 11e Effect of ER and MC on CHP efficiency

Fig 12e Variation of char flow rate different mass flow rate

of dry biomass

and performance of the power system

_

m¼ 15kg h1 m_ ¼ 20kg h1 m_ ¼ 25kg h1

WSOFC(W) 26,004 33,067 39,805

Wnet(W) 31,962 40,291 48,256

Trang 9

efficiencies are below 45% due to the absence of gas turbine

in their systems In this study, the electrical efficiency is

al-ways above 46% in the range of MC< 0.2, ER > 0.46 and mass

flow rate less than 20 kg h1 Sucipta et al [6] reported a

combined SOFC and MGT system fed with syngas from

biomass gasifier with electrical efficiencies between 46.4%

and 50.8% (LHV) A hybrid plant consisting BG, SOFC and organic Rankine cycle has been reported in Ref [11] with electrical efficiency of 54%, which close to the highest elec-trical efficiency of 56% in our study However, the elecelec-trical efficiency of BG-SOFC-MGT system reached a level of 58% has been shown by some researchers[13], meanwhile, the CHP efficiency of 87.5% in their study is more than the highest CHP efficiency of 85% in this study The improvement comes mainly from the optimization efforts in heat exchanger network and decreasing of the temperature of the exhaust gas leaving the hybrid plant in their study The temperature

of the exhaust gas in their study is reduced from 120C to

90 C, while the exhaust gas is set as 130 C in this study avoiding stack corrosion

It should be noticed that all of these authors mentioned above did not take into account any char conversion in the reduction zone of gasifier as mentioned in the introduction

An integrated BG, SOFC and GT system is investigated by thermodynamic model The pyrolysis-oxidant zone of the gasifier is modeled based on chemical equilibrium, reaction temperature is determined considering thermal equilibrium Meanwhile, kinetic reaction model has been adopted for one-dimensional simulation of the reduction zone, the tempera-ture and char flow rate along the height of reduction zone have been predicted Effects of process parameters (MC, ER and mass flow rate) on performance of the whole system have been studied

It is found that char in the biomass tends to be converted with decreasing of MC and increasing of ER due to higher temperature in reduction zone The entire conversion of char

in biomass could be expected on the condition of MC< 0.2,

ER> 0.42 and _m< 20 Kgh1 The electric and CHP efficiencies of the power system in-crease with decreasing of MC and the increasing of ER, the electrical efficiency of this system could reach a level of approximately 56%

Although the lower mass flow rate of biomass is favorable for char conversion and improvement of system efficiencies,

it means that a larger gasifier has to be adopted and the capital cost of the equipment will increase

Regarding the entire conversion of char in gasifier and acceptable electrical efficiency above 45%, the operating con-dition in this study is suggested to be in the range of MC less than 0.2, ER more than 0.46 and mass flow rate of biomass less than 20 kg h1

The future work about this study will include a more comprehensive multi-dimensional gasifier model considering tar production and optimization study of the power system configuration

Acknowledgment

The authors are grateful for the support of the Centre College Primary Scientific Research Item Funds (HEUCF130311,

Fig 13e Effect of ER and mass flow rate on char

conversion

Fig 14e Effect of ER and mass flow rate on electrical

efficiency

Fig 15e Effect of ER and mass flow rate on CHP efficiency

Trang 10

HEUCF140311, HEUCFZ1103), National Natural Science fund of

China (51009039, 51179037) and Harbin Science and

Technol-ogy Bureau (RC2013XK008002, 2013RFXXJ050)

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Nomenclature

AR: pre-exponential factor, mol m3s1

Cp: specific heat at constant pressure, J mol1K1

CRF: char reactivity factor

ER: activation energy, J mol1 ER: equivalence ratio

E0: reversible cell potential, V F: Faraday constant, 96,485C mol1 G: Gibbs function, J mol1

DG: change in Gibbs free energy, J mol1

H:: enthalpy, J mol1 DH:: enthalpy change of reaction, J mol1

I: current, A k: specific heat ratio K: equilibrium constant LHV: lower heating value, J mol1 _

m: mass flow rate of biomass, kg h1 MC: moisture content

n: Molar flow rate, mol s1 P: Pressure, Pa

Q: Heat, W r: volumetric reaction rate, mol m3s1 R: universal gas constant, 8.314 J mol1K1

Ri: net rate of production of species i, mol m3s1 T: temperature, K

Uf: fuel utilization

DVk: volume of the kth control volume, m3

V: terminal voltage of fuel cell, V y: molar fraction

W: electrical power, W

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