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Revue de Mtallurgie 107, 195204 (2010)c EDP SciencesDOI:
10.1051/metal/2010022www.revue-metallurgie.org
Revue deMtallurgie
Text received 02 March 2010accepted 24 March 2010
A simplified approach to the simulationof direct reduction of
iron ore
M. Vannucci1, V. Colla1, G. Corbo2 and S. Fera2
1 PERCRO-CEIICP, Scuola Superiore S. Anna, 56127 Pisa, Italy2
ILVA S.p.A., Genova Works, 16512 Genova, Italy
Abstract This paper describes a model for the simulation of the
process of direct re-duction of iron ore for steel production. The
model is implemented through stand-alonesoftware and the simulation
results have been compared with real experimental data. Thevery
good agreement between the actual and simulated data proves that
the model, de-spite its relative simplicity, takes into account all
the fundamental phenomena of iron orereduction.
Rsum Une approche simplifie la simulation de la rduction directe
de mi-nerai de fer. Cet article dcrit un modle pour la simulation
du processus de rductiondirecte de minerai de fer pour la
production dacier. Le modle a t mis en application parlintermdiaire
dun logiciel indpendant et les rsultats de la simulation ont t
compars de vritables donnes exprimentales. Lexcellente concordance
entre les donnes relleset simules montre que le modle, en dpit de
sa relative simplicit, prend en considrationtoutes les variables
fondamentales de la rduction du minerai de fer.
I n recent years, the eorts of the steelmaking industry toward a
reductionof CO2 emissions have become more and more intensive.
Continuoustechnical improvements of existing processes have
contributed to low-ering such emissions, but drastic reductions can
be achieved only throughthe development of breakthrough
technologies. For this reason, an impor-tant project has been
developed since 2004 by a large consortium includingmost of the
European steel producers and many research institutions, withinthe
6th Framework Program, which is entitled Ultra-LowCO2
Steelmaking(ULCOS) [1, 2] and aims at investigating technologies
capable of cutting theCO2 emission of the steelmaking industry by
an amount in the order of 50%.Among the technologies that have been
studied within ULCOS and are nowin an advanced experimental phase,
Direct Reduction (DR) is one of the mostpromising ones [3]. The
emissions of DR-EAFplants are in fact already close tothe 50%
target reduction expected by the ULCOS project and DR is designedto
be suitable for integration with other technologies, such as CCS,
aiming forthe reduction of CO2 emissions, which could further
improve the appeal ofthis technology. DR is going to be a valid
alternative to traditional routes froman economic point of view as
well, as in the future the price of NG is expectedto become highly
competitive.
DR is an alternative route for the production of steel which was
developedin the late 70s and it is already applied, in countries
where there is abundanceof natural gas, in a route including a
pre-reduction furnace and an EAF formelting [4, 5]. The DR process
allows the production of Direct Reduced Iron(DRI) by means of a
mixture of reducing gases mainly composed of hydrogenand carbon
monoxide, which play the role of reducing agents.
The main part of the DR plant is the reduction shaft where the
reductionreactions take place. During the production the shaft is
charged from the topwith iron ore and the reducing gases are blown
from the bottom in order toallow the reduction, while the produced
DRI is collected from the bottom ofthe shaft.
Literature results can be found related to the modeling of
chemicaland physical transformations involved in the DR processes
and, in particu-lar, on the reduction kinetics [6,7]. One of
themost ecient DR processes is the
Article published by EDP Sciences
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M. Vannucci et al.: Revue de Mtallurgie 107, 195204 (2010)
MIDREX r process, which exploits bothlumps and pellets as raw
material andrecycles the used gas, thus showing lowconsumption and
reduced environmentalimpact. The shaft furnace reactor of theMIDREX
r process has been simulated in [8].
In this paper a model is proposed, whichhas been developed
within the ULCOSproject in order to simulate in a fast but
reli-able way the reduction process which takesplace in the
reduction shaft of a DRI produc-tion plant.
The driver for developing this modelhas been the need for a
simple-to-use de-sign tool that could manage the new reduc-ing gas
composition envisaged for withinULCOS and that could also quickly
com-pare dierent burden materials. In order toachieve this goal,
non-conventional reduc-tion testing procedures were developed anda
software package was implemented en-compassing both test result
interpretationand DR reactor modeling.
In particular, given the geometry of theshaft, and the
composition, temperature andpressure of the inflated gas, the model
esti-mates the hourly DRI production that canbe obtained by using a
specified burdenma-terial. The reduction kinetics of the
burdenmaterial is fundamental information for themodel and is
characterized by means of an-other model named Ilva REduction
Simula-tion (IRES), which is based on a series of lab-oratory tests
carried out on the material.
The DR shaft model has been imple-mented as a one-dimensional
Finite ElementModel (FEM), where the shaft is representedby a
cylinder formed by 50 overlapping el-ements, where the conditions
aecting thematerial reduction vary only along the ver-tical
dimension.
The developedmodel of theDR shaft hasalso been implemented in a
stand-alone ap-plication named SAILORS (Sant Anna ILvaOre Reduction
Simulator), which is realizedin Visual Basic and combines a
user-friendlyinterface and high computation capabilities.
The DR shaft model was tested in or-der to evaluate the accuracy
of the producedsimulations. In order to validate the devel-oped
model, some real data from the mostcommon DRI production plants
were com-pared with the results of the correspondingsimulations
performed through the devel-oped model. In particular, the tests
refer to aset of dierent configurations both for thedimension of
the shaft and for other pa-rameters such as inlet gas composition
and
temperature,while the burdenmaterial usedis for all tests the
same kind of commercialpellets. The variability in the parameters
al-lowedus to test the simulator in awide rangeof conditions. The
results of the comparisonshow the very good agreement between
realand calculated DRI production and demon-strate the goodness of
the developed model.
The paper is organized as follows: Sec-tion 2 describes the IRES
model, Section 3 isdevoted to the description of the DR shaftmodel,
Section 4 depicts the software thathas been developed in order to
make themodels easy to use in an experimental con-text and,
finally, Section 5 presents some nu-merical results, by comparing
themodel pre-dictions with some experimental data fromreal
industrial plants.
Characterization of the reductionbehavior of the burden
material
The DR shaft model has been implementedas a one-dimensional FEM,
which is basedon a subdivision of the shaft in 50 overlap-ping
elements of the same diameter of theshaft. The basic assumption is
made, that ineach element the conditions aecting thema-terial
reduction canvary along the axes of thecylinder and not along its
radius. This hy-pothesis, although quite schematic,
allowsconsiderable simplification of the processrepresentation and,
as a consequence, of therelated computations.
The reduction of burden material whichtakes place within each
layer is simulated byusing the IRES model. IRES is a model
forsimulating the reduction behavior of an ar-bitrary material
depending on temperatureand gas composition, provided that a set
ofkinetic characteristics related to the materialhave been
determined through laboratorytests.
The general kinetic laws obtained fromtests performed at
constant conditions oftemperature and gas composition were
sub-sequently validated by means of othertests performed at
variable temperature andgas composition conditions. For the
char-acterization of a material various isother-mal reducibility
tests were run at dier-ent temperatures and dierent reducing
gascompositions. During the tests, the weightloss was continuously
registered and subse-quently converted into a reduction percent-age
(indicated by R in the following). Thevariability ranges of
conditions aecting re-duction aswell as someparameters of the
lab
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900C 700C
Fig. 1. Sample results of the reduction tests. These tests were
carried out at constant temperature and gas composition.Fig. 1.
Rsultats dchantillon des tests de rduction. Ces essais ont t eectus
la composition en temprature et en gaz constante.
tests are listed in Table 1, while some sampletest results are
shown in Figure 1.
As depicted in Table 1, the tests refer totypical DRI conditions
[9]. The pellets usedfor the tests were provided by one of the
in-dustrial partners of the ULCOS project andthey belong to the
common types of pelletsused in DRI plants [10]. On the basis of
theresults of the experiments, the kinetic lawsof the reduction
reaction were assessed. Thefollowing general kinetic law was
consid-ered [6]:
R (t) = 100(1 eKt
)(1)
where t is the time and K is the kinetic factordepending on the
material type and size, thereducing environment and the
temperature.The process of correlating the experimentalresults with
the main test conditions (suchas temperature and gas composition)
under-went various stages. As a conclusion it wasfound that:
the reduction behavior of all materialstested can be adequately
described byequation (1);
Table 1. Variability in the test conditions for the main
parameters.Tableau 1. Variabilit des conditions dessai pour les
paramtres principaux.
Parameter Min Max
Temperature 700C 900CH2 45% 85%CO 7% 48%CO2 2.5% 4.5%Gas speed
(STP) 0.057 m/sGas flow (STP) 9.21 L/minReduction section diameter
59 mmInitial sample weight 307 gPellet size 12.5 mm 15 mm
the gas composition can be representedby introducing the concept
of equivalent% CO content: 1 mole of H2 = 2 moles ofCO (so that,
for instance, 50% CO + 10%H2 behaves as 70% CO);
The parameter K can be linearly corre-lated to the gas
composition and temper-ature, i.e. K = aX+ b, where: a and b
are
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Fig. 2. Comparison between a laboratory test and its IRES
predicted behavior.Fig. 2. Comparaison entre un essai en
laboratoire et son comportement prvu par IRES.
constants to be determined by fitting theexperimental results
and X is a parame-ter defined as:
X = 100( T1000
)2.5 [CO]eq1000
(2)
where T is the absolute temperature and[CO]eq is the percentage
of equivalent CO.
Usually the root mean square error be-tween actual test data and
those obtainedfrom the above correlation lies within a fewpoints in
percentage.
Figure 2 depicts the comparison betweena simulation of material
reduction and itsmeasured behavior, showing the good per-formance
of the model for isothermal andconstant gas composition tests. The
simu-lation shown refers to an extreme situationwithin given test
ranges and highlights thegoodness of the proposedfitting also for
bor-derline conditions.
The kinetic parameters determinedthrough the above-described
tests are storedin a database which describes the reduc-tion
behavior of several materials in dier-ent conditions. Such
parameters are used tosimulate the reduction of the tested
materi-als as well as mixtures of them for varyingtemperature and
gas composition in orderto be in line with the conditions of the
DRIproduction shaft.
Varying conditions are simulated byconsidering any
temperature-gas profile asa sequence of steps whose duration is
suciently short to be assumed as isother-mal and with constant
gas composition.Moving from a step to the following onerequires the
concept of virtual time, i.e. thetime required to reach under a
hypotheticalhistory with the temperature and gas com-position of
the next step, the same reduc-tion index already reached during the
realhistory. The extra reduction gained in thesubsequent step is
equivalent to that whichwould be obtained in a step of equal
dura-tion beginning at virtual time.
The concept is described in Figure 3,which refers to a 2-step
history: the first oneconsisting of a 100-minute reduction timewith
20% CO followed by 100 minutes with50% CO.
The DR shaft model
IRES is used within SAILORS as a reduc-tion modulewithin a more
general model de-signed to simulate the shaft of a DR furnace.In
particular, IRES is used to simulate the re-duction of burden
material in each elementof the 1-dimensional FEM.
The following main assumptions weremade for the development of
the model:
In order to exploit FEM simulation theshaft is divided into 50
cylindrical over-lapping elements. In each element condi-tions are
assumed to vary only along thevertical axis of the cylinder and not
in the
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Fig. 3. Illustration of the virtual time concept.Fig. 3.
Illustration du concept de temps virtuel .
radial direction. Elements are numbered1 to 50 starting from the
bottom.
Reducing gas and burdenmaterial movein opposite directions: gas
enters fromthe bottom of the shaft while material isput in from the
top.
Reducing gas is formed by: H2, H2O, COand CO2.
A scheme of the described shaft includinginput and output of
gases and materials isshown in Figure 4.
The main inputs needed by the model,which correspond to the main
input vari-ables of the shaft, are the following:
Dimension of the reduction shaft (heightand diameter).
Flow rate, composition, temperature andpressure of inlet
gas.
Inlet burden material temperature. Target reduction of outlet
material.
On the other hand, the model provides thefollowing outputs:
Produced DRI outlet flow. Temperature profile for both gas
andma-terial in the shaft.
Reduction profile of material in the shaft.
Within the FEM, representing a single layerof the shaft, several
physical processes andrelations among variables are considered.
Inthis framework, all reactions are heavily af-fected by the
composition of the reducinggas. From the thermal point of view,
there isheat exchangebetweengas andmaterial (gascools as it reaches
the upper part of the shaft,
whilematerial getswarmer as it descends to-ward the bottom of
the shaft itself). From thechemical point of view, gas reduces the
min-eral by subtracting oxygen which combineswith H2 and CO and
forms CO2 and H2O.Such reactions lead to an energy exchangewhich
must be taken into consideration (forinstance, the reaction with H2
absorbs en-ergy while the reaction with CO releases en-ergy).
The functioning of the 1-dimensionalFEMmanaging these thermal
and chemical-physical interactions can be described ac-cording to
the following steps:
1. A first simulation of reduction is carriedout, by ignoring
all thermal exchangesbut assigning an arbitrary initial
temper-ature value to the burden material. Thesimulation, through
an iterative processwhich is based on the exploitation of theIRES
model, calculates an inlet materialflow which is compatible with
the targetreduction.
2. Given the inlet material flow calculatedin the previous step,
the thermal balanceis calculated in order to obtain the
tem-perature of gas andmaterial in each layerof the shaft. To this
aim, both the thermalbalance within each layer and
boundaryconditions must be taken into account.In particular, two
boundary conditionshave to be respected: the first one for theupper
border concerning inlet materialwhose temperature is known; the
otherone on the lower border concerning inletgas temperature,which
is known aswell.
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Burdenmaterial
Outletgases
Reducedmaterial
Reducinggas
Element #1Element #2
Element #50
Fig. 4. The DR shaft FEM representation exploited by the SAILORS
model.Fig. 4. La reprsentation du modle dlment fini de laxe
exploite par le modle.
3. Given the thermal profiles calculated instep 2, a new inlet
material flow is cal-culated as in step 1 but, in this case,new
thermal conditions are exploited.The computation terminates when
thecalculated inletmaterial flowvalue is sta-bilized according to a
set of convergencecriteria established by the user.
Figure 5 depicts the flow chart of the above-described
calculation.
Within the simulation IRES is used forthe inlet material flow
calculation. Materialflow calculation starts from element No.1and
goes on element by element from thebottom to the top of the shaft.
In this sit-uation and at each step of the computation,thematerial
temperature is known (from thecurrent thermal profile) as well as
the gascomposition in the shaft element, the reduc-tion degree on
the bottom of the elementand the residence time of mineral in the
el-ement. IRES is used each time to calculatethe reduction degree
on the top border of theconsidered element,which represents the
re-duction degree of the mineral in a previousmoment as the mineral
goes from the top
to the bottom of the shaft. To this purpose,IRES calculates the
reduction profile of thematerial until the reduction of the
mineralat the exit of the element is reached underthe conditions of
temperature and gas com-position of the considered element, then
itlooks backward to a time t which representsthe residence time
ofmaterial in the element.The obtained result is the reduction
degreeof thematerial once it enters the element. Thereduction
degree of the 50th element is usedin order to verify the mass
balance for thecurrent situation: if there is convergence
thecalculation can stop, otherwise parametersare modified until
convergence is reached.
The developed software
On the basis of the above-described 1DFEM-based description of
the DR shaft, softwarefor the simulation was implemented. The
re-alization of a stand-alone application wasjudged necessary for
two main reasons: thefirst one is related to the complexity
ofmathematics involved in the calculus andto the heavy
computational burden. Such
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Fig. 5. Flow chart describing the computational structure of
SAILORS.Fig. 5. Organigramme dcrivant la structure informatique du
modle SAILORS.
computational eort needs to be aorded bydedicated software
expressly designed andcompiled in order tominimize the
computa-tional time. The second reason is related tothe need for
having user-friendly softwarewhich makes the selection and
modificationof the numerous parameters involved in thesimulation
easy and provides a clear visual-ization of results.
For the implementation of the softwareMicrosoft c Visual Basic
was chosen becauseit gives at the same time the possibility of:
1. writing code to be compiled by thestandard VB compiler. The
code com-pilation gives the advantage of creatingportable
stand-alone software compati-ble with MS Windows c-based
systems.Moreover, the compilation drastically in-creases the speed
of the whole computa-tion.
2. Designing in a very natural way a user-friendly interface
similar to most soft-ware running under Microsoft
operativesystems.
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Fig. 6. The main window of the software interface.Fig. 6. La
fentre principale de linterface du logiciel.
3. Easy interfacing with other programsused for the loading and
storage of dataused by the model.
The software was designed according toa modular structure, in
order to facili-tate subsequent modifications or code addi-tions:
there are, for instance, procedures forthe mass balance, for the
thermal balanceand some for the management of the FEMengine.
The main interface window of the de-veloped software is shown in
Figure 6 andincludes an area for the input of plant andmaterial
parameters inwhich themainprop-erties of the shaft and the burden
materialare chosen and an output area for the moni-toring of main
information concerning eachof the 50 elements into which the shaft
isdivided and the main results of the DRIsimulation. Moreover, a
picture showing theprogress of reduction and temperatureof
thematerial and reducing gas inside the shaft isincluded.
The complete list of the inputs to themodel inserted through the
interface and
taken into account by the model is the fol-lowing: material bulk
density; guess value on burdenmaterial flow rate(needed for the FEM
algorithm);
gas flow rate; inlet gas pressure; outlet gas pressure; burden
material inlet temperature; reduction chamber height; reduction
chamber diameter; target discharge metallization; average burden
material size; inlet gas composition; burden material type.In
addition to these inputs, when a burdenmaterial is chosen for the
simulation, thesoftware exploits some information previ-ously
stored in a separate (independent andeditable) Excel file. This
file contains infor-mation used by the IRES model embeddedin
SAILORS and describes the kinetics of thereduction of the specific
material. The list ofburden materials can be extended by sim-ply
adding information to the Excel file and
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in an analogous manner material propertiescan be modified.
SAILORS allows the user to save andsubsequently recall an input
set in order toform a library of principal input situations.
The software, after the calculation is com-plete, returns the
following information onthe main window:
material inlet flow; material outlet flow; outlet gas
composition; for each element of the shaft: gas tem-perature,
burden temperature, reductionrate, residence time (in a table).
When the calculation is completed, the pic-ture area is updated
and it is possible to showboth a graphic describing the progress of
thereduction rate in function of time or (by se-lecting the
specific radio-button) the burdenandgas temperature in functionof
the heightof the shaft. It is also possible to export thesefigures
in the JPG format.Moredetailed dataare available by accessing a
further window(see Fig. 7) which provides the following
in-formation:
total production rate of reducedmaterial; metallization degree;
total iron; total metallic iron; residence time; oxides; total
oxygen transferred.
All the above-described output data can beexported in a plain
ASCII file which is eas-ily readable by most common text
editors.The exported file also includes informationconcerning the
input parameters of the sim-ulation.
The computation time is in line with theexpectations. A single
run of the simula-tion depends on the whole set of
previouslymentioned parameters. Normally, simula-tions on a 2.4 GHz
processor computer with2GB ram take from 5 to 20 seconds.
Numerical results
In order to validate the developed model,some real data from the
most common DRIproduction plants were compared with
thecorresponding simulations performed bySAILORS. Such information
is confidentialand comes from the work carried out withinthe ULCOS
project. In particular, tests referto a set of dierent
configurations both for
Fig. 7. The window providing detailed information onthe result
of the calculation.Fig. 7. La fentre qui fournit des informations
dtailles sur lersultat du calcul.
Fig. 8. Comparison between calculated and actual
hourlyproduction rate of DRI for the performed tests.Fig. 8.
Comparaison entre la cadence de fabrication horaire cal-cule et
relle du DRI pour les essais raliss.
the dimension of the shaft and for other pa-rameters such as
inlet gas composition andtemperature,while the burdenmaterial
usedis for all tests the same kind of commer-cial pellets. The
variability in such param-eters, whose ranges are shown in Table 2,
is
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Table 2. Variability ranges for the main param-eters for the
reduction tests exploited for themodel validation.Tableau 2. Gammes
de la variabilit pour des para-mtres principaux pour les essais de
rduction exploi-ts pour la validation modle.
Parameter Min MaxShaft diameter 5 m 7 mShaft height 9 m 11.6
mGas temp. (C) 900C 1078CInlet H2 38% 70%Inlet CO 15% 36%Inlet CH4
2% 10%
important as it has allowed testing the sim-ulator in a wide
range of conditions.
The real plant hourly DRI productionrates are compared with the
ones calculatedby the SAILORsimulation. The results of
thiscomparison, which are depicted in Figure 8,show the very good
agreement between realand calculated DRI production and
demon-strate the goodness of the developed model.
Conclusions
A model of a DR shaft has been developedwithin the ULCOS
project, in order to sup-port the development of the new DR
plant,which is one of themost promising routes forreducing theCO2
emissions involved in steelproduction. The mono-dimensional FEM
ofthe shaft was exploited coupled with a re-duction module in order
to simulate the re-duction of burden material in each elementof the
FEM. Stand-alone software was alsoimplemented in order to make the
modeleasy to use and to speed up the computa-tion.
The model was validated by exploitingreal data from the most
common DRI pro-duction plants, which were compared withthe results
of the model. The tests refer toa set of dierent configurations
which arerepresentative of a wide range of possiblecases. The good
agreement between the re-sults provided by the model and the
experi-mental data encourage the use of the devel-oped software in
the design phase of newconcept DR plants.
Acknowledgements
The work described in the present paper wasdevelopedwithin the
project entitled Ultra-Low
CO2 Steelmaking (ULCOS), which has receivedfunding from the
European Community withinthe 6th Framework Program. The sole
responsi-bility for the issues treated in the present paperlies
with the authors; the Commission is not re-sponsible for any use
that may be made of theinformation contained therein.
The authors also wish to thank Dr. E Knopfor having provided the
experimental data thathave been used to validate the model and Dr.
E.Burstrm for the fruitful discussions which con-tributed to the
development of the described re-search work.
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204
A simplified approach to the simulation of direct reduction of
iron oreCharacterization of the reduction behavior of the burden
materialThe DR shaft modelThe developed softwareNumerical
resultsConclusionsAcknowledgementsReferences