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The Application of a Modified Distributed Activation Energy based
Model to the Combustion and Gasification of Biomass and Coal Char
BlendsPatience Mavhengere
School of Chemical and Metallurgical Engineering, University of the Witwatersrand
Co-Authors: Prof Nicola Wagner, Dr Shehzaad Kauchali
Ø Combustion is a major energy conversion process. Ø The determination of combustion kinetics of coal
and biomass is a crucial area of study for the design and optimization of energy systems.
Ø 230.3 million tones CO2 emitted from Eskom’s coal fired units per annum. 1
Ø Co-firing 15% biomass with coal reduces GHGs emitted by 18%.
Ø Some biomass types are believed to have catalytic effects.
Ø Existing coal units may be used for co-firing with very few modifications. 2
Ø Combustion is a major energy conversion process. Ø The determination of combustion kinetics of coal
and biomass is a crucial area of study for the design and optimization of energy systems.
Ø 230.3 million tones CO2 emitted from Eskom’s coal fired units per annum. 1
Ø Co-firing 15% biomass with coal reduces GHGs emitted by 18%.
Ø Some biomass types are believed to have catalytic effects.
Ø Existing coal units may be used for co-firing with very few modifications. 2
[1]Biagini, E., Lippi, F., Petarca, L., Tognotti, L., 2002. Devolatilization rate of biomasses and coal biomass blends : An experimental investigation. Fuel, 81(8),pp.1041-1050.
[2]Koko, M., 2012. A 1-D Simulation Tool for Biomass Co-Firing Development and Application, Co-firing Biomass with coal. Copenhagen. March 27-28.pp.1-29.
The reaction model function The pre-
exponential factor
The activation energy
700 750 800 850 900 950 1000 1050 11000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Temperature
Mas
s fra
ctio
n re
mai
ning
Reactions assumed at
of E
Reactions assumed at various conversions, each with a unique set of E and A.
n=2
n=3
n=4
n=5
n=6
n=7
n=8
n=9
n=1
3
Model independent technique!!!
Figure 1: Discretisation of non-isothermal data. The DAE based model.
[3] Scott, S. A., Dennis, J. S., Davidson, J. F., Hayhurst, A. N., 2006. Thermogravimetric measurements of the kinetics of pyrolysis of dried sewage sludge. Fuel, 85(9), pp.1248-1253.
• Discretization of the curves by the reactions– Model the system using the matrix notation
,
, , ,
Total mass fraction remaining obtained from thermo-gravimetric
analysis
Initial mass fraction of component decomposing in
reaction i.
700 750 800 850 900 950 1000 1050 11000
0.2
0.4
0.6
0.8
1
1.2
1.4
First order Ψ ( , ) = ln(1 − )
RPM Ψ(T, ) = 1 − ln (1 − ) −1 1-xmax
Rate
of r
eact
ion
Temperature
Conv
ersio
n
Model dependent technique!
Figure 2: Determination of the pre-exponential factor: The DAE based model.
• Once E and A are known, use Matrix inversion to determine fo.– Automatically evaluates the active reactions from
your initial set.
, , ,
AIM: To determine and analyse the reaction kinetics of the combustion of coal and biomass char blends under non isothermal conditions. OBJECTIVES:Ø To collect thermo-analytical combustion data on
coal and biomass char blends.Ø To apply the DAE based model onto the collected
combustion data and determine the combustion kinetics.
Ø To investigate the effect of the presence of biomass char on coal char combustion using the determined kinetics.
600 700 800 900 1000 1100 1200 13000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Temperature (K)
Mas
s Fr
actio
n R
emai
ning
(1-
x)
600 700 800 900 1000 1100 1200 13000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Temperature (K)
Mas
s Fr
actio
n R
emai
ning
(1-
x)C
onve
rsio
n (1
-x)
Temperature (K)
100K/min simulated exp data30K/min simulated exp data10K/min simulated exp dataDAE model prediction
Root Mean Square error=0.00034R2 coefficient=1
Reaction 1 2 3 4 5 6 7 (kJ/mol) 150 175 200 225 235 250 275 1/7 1/7 1/7 1/7 1/7 1/7 1/7
Seven parallel random pore model (RPM) reactions
Figure 3: Model validation by simulation.
Table 1: Specified kinetics for the seven simulated RPM models
ØSamples:ØVitrinite rich South African coal (VC)ØHighveld grass (HG)ØPine wood chips (PW)
ØPulverized to -53µm ØBlend ratio of 10% and 50% by thermal input
was used. 4-5
[4]Fernando, R., 2005. Fuels for biomass co-firing. (October).IEA Clean Coal Centre[5]Livingston, W. R., 2012. Recent developments in biomass co-firing in large coal-fired utility. Copenhagen. March, Babcock Energy.
SAMPLE CHARACTERIZATION
Calorific value determination
Ultimate analysis
ICP-OES(inductively coupled plasma optical
emission spectrometry)
THERMO-GRAVIMETRIC ANALYSIS
Proximate analysis
TA instruments
Petrographic analysis
Char formation in N215K/min to 1523K
Combustion in air8K/min,12K/min,15K/min
Max T=923K
Figure 4: TA instruments thermo-gravimetric analyser
Proximate analysis (wt.%, dry basis)
Ultimate analysis(wt.%, dry ash free basis)
Gross
calorific
value (MJ/kg)Ash FC VM C H N S O
VC 12.55 50.67 36.8 79.5 5.6 1.70 0.87 12.30 28.12
HG 7.45 15.15 77.4 50.1 6.5 0.40 0.14 42.87 17.12
PW 0.23 15.2 84.6 51.4 6.5 0.1 0.00 41.95 18.52
Ash content (Oxide wt. %)
SiO2 Fe2O3 CaO MgO K2O Total catalytic species (Fe2O3,K2O,MgO,CaO) %
Ratio K / Si (wt.%/wt.%)
VC 68.00 3.53 1.69 0.56 1.28 7.06 0.03
HG 73.80 0.86 5.95 2.67 9.06 18.58 0.21
PW 8.36 8.22 40.10 15.10 3.39 66.81 0.72
VC Petrography
Vitrinite % Liptinite % Inertinite % Mineral matter % Rank
78 7.3 10.4 4.8 Medium rank C
Table 2: Characterization results.
All materials successfully modelled by the RPM, modelling errors ranged from RMS errors of 0.0021 to 0.0081 and R2
coefficients of 0.9996 to 1.
8 K/min experiment
RMS error =0.0045R2 coefficient =0.9999
Figure 5: Model Application to thermo-gravimetric data.
CombustionChar Sample E (kJ/mol) A (s-1m-1) Total weighted %
difference in E
VC 137.4 2.82E+5 1.00 18.5 137.4 0%PW 255.5
222.3193.7183.3
2.80E+152.23E+127.88E+95.34E+8
0.050.040.160.74
8.3 299.7249.3209.4190.3
-6.0%
HG 127.8130.5
1.60E+52.17E+5
0.190.80
10.5 133.3135.5`
-4.0%
VC-HG 90:10 125.7 5.38E+4 1.00 18.98 125.3 0.3%
VC-PW 90:10 125.6
135.0
6.2E+4
1.93E+5
0.42
0.57
18.98 126.4
134.6
-0.1%
VC-HG 50:50 135.9 3.09E+5 1.00 15.94 138.1 -2.0%
VC-PW 50:50 138.3 3.94E+5 1.00 17.88 139.8 -1.1%
[6] Vyazovkin, S., 2008. Handbook of Thermal Analysis and Calorimetry, Isoconversional kinetics. Chapter 13, pp. 503-537.
Table 3: Comparison of kinetic parameters obtained during the combustion of the char blends.
The compensation effect
Blend Name R2 Coefficient RMS Error
VC-HG 90:10 0.9997 0.0076
VC-PW 90:10 0.9999 0.0040
VC-HG 50:50 0.9987 0.0154
VC-PW 50:50 0.9968 0.0239
[8]Gil, M. V., Casal, D.,Pevida, C., Pis, J. J., Rubiera, F., 2010a. Thermal behaviour and kinetics of coal/biomass blends during co-combustion.Bioresource technology, 101, pp.5601–8..[9]Moghtaderi, B., Meesri, C. & Wall, T. F., 2004. Pyrolytic characteristics of blended coal and woody biomass. Fuel, 83(6), pp.745–750.[10]Sadhukhan, A. K., Gupta, P., Goyal, T., Saha, R. K., 2008. Modelling of pyrolysis of coal-biomass blends using thermogravimetric analysis.Bioresource technology, 99(17), pp.8022–6.[11]Vuthaluru, H., 2004. Thermal behaviour of coal/biomass blends during co-pyrolysis. Fuel Processing Technology, 85(2-3), pp.141–155.
Additive Method
Table 4: Application of the Additive method
700 750 800 850 900 950-0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8Coal-grass 50-50 combustion
DTG Additive methodDTG Experimental
700 750 800 850 900 950-0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8Coal-pine 50-50 combustion plot
DTG Additive methodDTG Experimental
Calculated curveExperimental curve
Calculated curveExperimental curve
VC-HG 50-50 blend
VC-PW 50-50 blend
Frac
tiona
l rat
e of
mas
s los
s (1/
min
)Fr
actio
nal r
ate
of m
ass l
oss (
1/m
in)
Temperature (K)
Temperature (K)
Figure 2: Application of the Additive method for the synergy analysis.
Ø The modified DAE model is a robust and accurate method of kinetics determination.Ø The RPM is suitable for modelling the combustion of
the coal and biomass char blends.Ø PW char is the most reactive material, followed by HG
and VC chars respectively.ØNegligible changes were observed in the activation
energy for the 90:10 coal-biomass char blends. ØA decrease in activation energy was observed during
the combustion of the 50:50 blends.Ø Synergetic behaviour between the coal and the biomass
was observed for the 50:50 coal-biomass blends
[7] Babinski, P., Łabojko, G., Kotyczka-Moran´ska, M., Plis, A., 2013. Kinetics of coal and char oxycombustion studied by TG–FTIR. Journal of Thermal Analysis and Calorimetry. DOI 10.1007/s10973-013-3002-x.