UNIVERSITÀ DEGLI STUDI DI PERUGIA
DIPARTIMENTO DI INGEGNERIA
Corso di Laurea Magistrale in Ingegneria Meccanica
A.A. 2015/2016
Application of a Distributed Activation Energy Model (DAEM) to the
pyrolysis of different biomasses
Course of Energy from biomass and waste
Students Supervisors
Lorenzo Catanzani Prof. Eng. Francesco Fantozzi
Samuele Trinari Doc. Pietro Bartocci
Course of Energy from biomass and waste
Application of a Distributed Activation Energy Model (DAEM) to the pyrolysis of different biomasses
Students: Lorenzo Catanzani (code: 279775) & Samuele Trinari (code: 280861)
Summary
1. State of the art of biomass pyrolysis modeling pag. 3
References 3
2. Distributed Activation Energy Model description pag. 9
3. TG and DTG diagrams pag. 11
4. Application of the DAEM model to glycerol pellet pag. 12
5. Application of the DAEM model to olive stone pag. 16
6. Conclusions pag. 18
7. Appendix
Appendix A: Dataset used pag. 19
Appendix B: MATLAB code 2
Course of Energy from biomass and waste
Application of a Distributed Activation Energy Model (DAEM) to the pyrolysis of different biomasses
Students: Lorenzo Catanzani (code: 279775) & Samuele Trinari (code: 280861)
1 State of the art of biomass pyrolysis modeling
Kinetics of biomass to predict mass loss evolution is usually determined by TGA and conducted
with small samples at low heating rates to ensure the absence of heat and mass transport
α α
limitations, i.e., to be under a kinetically controlled regime. The reaction rate (d /dt, being
conversion) over temperature in a TGA experiment with pinewood at a constant heating rate of 10
K/min is shown in Fig. 1.1 [1].
Fig.1.1. Normalised mass loss and reaction rate over temperature for pyrolysis of pine wood at 10K/min. Experimental data in
points, model with three pseudocomponents in solid line and each pseudocomponent in dashed lines (adapted form AncaCouce et
al [1].
The main peak corresponds to cellulose; the shoulder at lower temperatures, to hemicellulose;
and lignin decomposition covers a wider temperature range, including the tail at high
temperatures. There are two main mathematical approaches used to analyse the data in order to
obtain the kinetics data: modelbased (modelmodelfitting) and isoconversional (modelfree)
methods [2],[3],[4],[5].
Isoconversional (modelfree) methods can be used to compute kinetic parameters during
conversion without modelbased assumptions, such as an a priori first order reaction. In these
3
Course of Energy from biomass and waste
Application of a Distributed Activation Energy Model (DAEM) to the pyrolysis of different biomasses
Students: Lorenzo Catanzani (code: 279775) & Samuele Trinari (code: 280861)
methods the activation energies are calculated at fixed conversions, taking advantage of the fact
that the reaction rate depends exclusively on the reaction temperature. There are integral
isoconversional methods, such as the Kissinger–Akahira–Sunose (KAS) [6],[7], Flynn–Wall–Ozawa
(FWO) [8],[9] or Vyazovkin [10] methods; and differential methods, such as the Friedman method.
In modelbased methods, a reaction model must be postulated first. The most appropriate
reaction model can solely be selected on the basis of the quality of the regression fit. Nonlinear
least squares fitting is the method most commonly employed in the biomass community to fit
experimental data and evaluate the Arrhenius parameters. First and nth order reaction models are
usually selected. It is recommended to employ the reaction rate (as in Fig. 1.1) instead of mass loss
over time/temperature for the fitting because the details of devolatilisation are better shown [11].
The description of biomass pyrolysis with just one component is not precise enough. Biomass
pyrolysis is assumed to be approximately the sum of the inputs of the respective main
components: cellulose, hemicellulose and lignin [12]. Pyrolysis can be described with a parallel
reaction scheme in which three pseudocomponents usually represent the main biomass
components, although more components can be employed. However, the proportions of each
pseudocomponent do not correspond exactly to the composition of the real components because
of the influence of mineral matter, different char yields and interactions among the components
[13]. Moreover, the final char yield has to be a priori defined in this scheme; this scheme predicts
the mass loss evolution over time but not the variations in product composition at different
pyrolysis conditions. Some studies obtain the pyrolysis kinetics using modelfitting methods solely
with experiments conducted at one heating rate [14],[12]. Branca et al. [15], AncaCouce et al. [3]
or SánchezJiménez et al. [16] have criticised this, though. Force fitting models to nonisothermal
data obtained from a single heating rate can generate very inconsistent Arrhenius parameters that
display a strong dependence on the kinetic model selected [2]. Compensation effects can be
avoided by employing several heating rates, i.e., different combinations of preexponential factors
and activation energies can describe the same weight loss curve reasonably well. Only one set of
data can predict the behaviour of the material at several heating rates [13]. 4
Course of Energy from biomass and waste
Application of a Distributed Activation Energy Model (DAEM) to the pyrolysis of different biomasses
Students: Lorenzo Catanzani (code: 279775) & Samuele Trinari (code: 280861)
As reviews have indicated, activation energies vary widely in the literature for each
pseudocomponent in the parallel reaction scheme [13],[2],[18]. Fig. 1.2 presents an overview
(data from Refs. [14], [12], [19], [15], and [20],[21],[22],[23],[24],[25],[26],[27]).
Fig.1.2. Activation energies reported in literature for the biomass pseudocomponents. Data obtained with experiments performed
at several heating rates (except 11): 1[20], 2[21], 3[19], 4[22], 5[15], 6[23], 7[24], 8[25], 9[26], 10[27], 11[12], 12[14]. When several
values are reported in one study, only the mean value is shown (adapted from AncaCouce et al. [3]
The included values in the figure are only obtained from works in which several heating rates were
investigated, except for the reference work of Gronli et al. [12]. The activation energies of the
pseudocomponents in the parallel reaction scheme usually resemble the activation energies of
the original components. Pure cellulose pyrolysis (for low heating rates) can be described with a
first order reaction model with a high activation energy (191–253 kJ/mol according to Antal et al.
[28]). The main component for biomass in the parallel reaction scheme representing the cellulose
peak usually has activation energies in the range of 190–250 kJ/mol, close to the values for pure
cellulose. Furthermore, the literature usually reports a lower activation energy value for the
hemicellulose pseudocomponent than for cellulose, but usually the activation energy is still high
(150–200 kJ/mol). The reported range of activation energies for lignin is very broad [13],[18], from
20 to 200 kJ/mol. The widely varying kinetic data reported in recent years in the literature have
sparked concern among researches about the reliability of the reported pyrolysis experiments and
5
Course of Energy from biomass and waste
Application of a Distributed Activation Energy Model (DAEM) to the pyrolysis of different biomasses
Students: Lorenzo Catanzani (code: 279775) & Samuele Trinari (code: 280861)
the analysis of the data [13],[2],[18],[29]. The following recommendations were suggested to
determine kinetics in a consistent way by AncaCouce et al. [3]:
• To first reproduce the reference experiments with pure cellulose (Avicel PH 105) from Gronli et
al. [30].
• To perform and analyse experiments with different heating rates.
• To employ integral isoconversional methods to verify the reliability of the experiments and to
avoid selecting inappropriate reaction models in a fitting routine.
The first recommendation is done to validate the thermogravimetric analysis and to ensure the
absence of heat and mass transport limitations. The International Confederation for Thermal
Analysis and Calorimetry (ICTAC) has presented further advices for the collection of data in a
kinetically controlled regime [31]. Experiments conducted at different heating rates are
recommended to avoid compensation effects, as previously explained. Khawamand Flanagan [4]
suggested the complementary use of isoconversional and modelbased methods to determine
solid state reaction kinetic parameters from experimental data. Activation energies can be first
predicted by using isoconversional methods. The most accurate reaction model can be then
chosen, by using modelbased methods, in order to arrive at an activation energy that is close to
the one obtained from the isoconversional analysis. Thus, the selection of the most appropriate
reaction model is in this way potentially more consistent than when the quality of the regression
fit alone is used as a basis [4]. Moreover, quality of the linear fitting in Arrhenius plots of integral
isoconversional methods for the different conversions can verify the reliability of the experiments.
Compensation effects or assuming first order kinetic models can lead to erroneous kinetic
parameters, particularly leading to an underestimation of the activation energy of lignin pyrolysis.
By following the recommendations above, consistent kinetics should be obtained. Isoconversional
methods are not commonly employed by members of the biomass pyrolysis community, but their
popularity has recently increased. Differential isoconversional methods are very sensitive to noise,
therefore integral methods are usually preferred. Generally, high activation energies are obtained,
with variations during conversion [32],[33],[34],[35]. Activation energies at different conversion
levels can be approximately associated to biomass components: hemicellulose at low, cellulose at
medium and lignin at high conversion levels. Different integral isoconversional methods, such as
KAS, FWO or Vyazovkin, deliver very similar results for the same data set. 6
Course of Energy from biomass and waste
Application of a Distributed Activation Energy Model (DAEM) to the pyrolysis of different biomasses
Students: Lorenzo Catanzani (code: 279775) & Samuele Trinari (code: 280861)
The complexity of biomass pyrolysis has led to the employment of more complex models than the
previously presented ones, with one reaction and a single activation energy for each component.
Distributed activation energy models (DAEM) assume that decomposition takes place over a large
number of independent, parallel reactions with different activation energies, which reflects
variations in the bond strengths of species. The difference in activation energies can be
represented by a continuous distribution function. This model was recently reviewed by Cai et al.
[40]. Kinetic parameters can be estimated by distribu
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