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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Analysis of Aluminium Electrolysis Data in the Context of Extreme Values of Technological Parameters*</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Computational Modelling of the Siberian Branch of the Russian Academy of Sciences</institution>
          ,
          <addr-line>50/44 Akademgorodok, Krasnoyarsk, 660036</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>This paper presents the results of monitoring data analysis for experimental areas producing primary aluminum based on the RA-300 and Soderberg technologies. The authors considered the events of technological disorders, such as anode effects and formations on anode face, carried out the statistical analysis of technological parameters and process disruptions in relation to the extreme values of the parameters. The results of analysis allowed us to obtain new knowledge about technological disorders and features of abnormal working states of aluminum reduction cells, detect the technological patterns, conditions and causes for the occurrence of technological disorders.</p>
      </abstract>
      <kwd-group>
        <kwd>Aluminium Electrolysis</kwd>
        <kwd>Extreme Values</kwd>
        <kwd>Technological Disorders</kwd>
        <kwd>Statistical Analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Quality control of the aluminum smelting process is based on monitoring the</title>
      <p>
        technological parameters of aluminum reduction cells [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Controlled parameters
include measurements of the chemical composition of the melt, physical
characteristics of the melt, energy balance, and other working variables. The most
common technological disorders in aluminum production include anode effects and
distortions of the anode geometry formed during electrolysis [
        <xref ref-type="bibr" rid="ref1 ref2">1-2</xref>
        ].
      </p>
      <p>
        Anode effect is a phenomenon characterized by decreasing in the alumina
dissolution and a significant increase in the cell voltage. Distortions of the anode
geometry are classified into formations on the anode face (“spikes”, “laggings”,
“chunks”), and anode destruction (“corner shedding”). “Spike” is a formation of a
cylindrical or conical shape [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. “Lagging” is the formation of a rectangular
crosssection or unevenness, occupying up to 50–60% of the anode bottom [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. “Chunk” is
a special term, adopted at Bratsk aluminum smelter, for formations of any form
weighing up to several hundred kilograms on the Soderberg type of carbon anodes.
* Copyright c 2020 for this paper by its authors. Use permitted under Creative Commons
      </p>
    </sec>
    <sec id="sec-2">
      <title>License Attribution 4.0 International (CC BY 4.0).</title>
      <p>
        “Corner shedding” is a physical loss of large carbon pieces from the anode surface
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Statistical analysis of the monitoring data allows us to obtain new knowledge
about technological disorders and features of abnormal working states of aluminum
reduction cells.
      </p>
    </sec>
    <sec id="sec-3">
      <title>This paper presents the results of the monitoring data analysis in the context of extreme values of technological parameters in order to explore technological patterns and detect the technical conditions and causes for the occurrence of technological disorders.</title>
      <p>2</p>
      <p>Analysis of the Monitoring Data in the Context of
Extreme Values of Technological Parameters</p>
    </sec>
    <sec id="sec-4">
      <title>The analysis was carried out on monitoring data for three experimental areas: Khakas</title>
      <p>aluminum smelter (KhAZ), Boguchansky aluminum smelter (BoAZ), that use the</p>
    </sec>
    <sec id="sec-5">
      <title>RUSAL’s proprietary RA-300 technology, and Bratsk aluminum smelter (BrAZ) with</title>
      <p>
        Soderberg technology. Technology determines the design features of aluminum
reduction cells and plants and, as a result, the scope of controlled technological
parameters and types of process disruptions [
        <xref ref-type="bibr" rid="ref5 ref6">5, 6</xref>
        ]. In the experimental area of KhAZ,
there were 6784 cases of “spikes” and 8123 anode effects over the observation period
of 2014-2019 years. In the experimental area of BoAZ, there were 3872 cases of
“laggings”, 349 cases of “spikes” and 4689 anode effects over the 2019 year. In the
experimental area of BrAZ, there were 30989 cases of “corner shedding”, 2986 cases
of “chunks” and 73412 anode effects over the observation period of 2015-2019 years.
      </p>
    </sec>
    <sec id="sec-6">
      <title>To determine the extreme parameter values, the variability of a set of parameter</title>
      <p>values was estimated for each cell, and the ranges of reliable values were found as
μ ± σ, where μ is the mean value of the data series, σ is the standard deviation.
Parameter values outside this range are considered as extreme values. The result of
the analysis of the statistical characteristics showed that the cells, in the context of the
same parameters, differ significantly both in the average values of the parameters and
in their deviation intervals. For each experimental area, the parameters with the
largest percent of anomalies over entire observation period were determined, among
them: for KhAZ – Back EMF, Dose of alumina, Coefficient of anode-cathode
distance; for BoAZ – Cryolite ratio, Coefficient of anode-cathode distance, CaF2
concentration, for BrAZ – AlF3 dose, Minimum distance, MgF2 concentration.</p>
    </sec>
    <sec id="sec-7">
      <title>In order to explore the events of technological disorders in relation to the extreme</title>
      <p>values of the parameters, we considered the dates of disorders detection (in cases of
anode effects) and the five-day period preceding the registration of the disorder (in
cases of any formations). As a result, for each type of disorder, the distribution of
cases accompanied by extreme values of the parameters was obtained (Tables 1, 2).</p>
    </sec>
    <sec id="sec-8">
      <title>Parameter</title>
    </sec>
    <sec id="sec-9">
      <title>AlF3 dose (kg)</title>
    </sec>
    <sec id="sec-10">
      <title>In the table, highlighted parameters are most specific to a particular type of disorder in the experimental area. Most of the “spikes” occurred at KhAZ while the values of</title>
      <p>Electrolyte temperature or Coefficient of anode-cathode distance or Number of AlF3
doses were extremes. At BoAZ most of the “spikes” were accompanied by extreme
values of Coefficient of anode-cathode distance or Electrolyte temperature or</p>
    </sec>
    <sec id="sec-11">
      <title>Aluminium level. Most of the “laggings” occurred at BoAZ while Coefficient of</title>
      <p>anode-cathode distance or Electrolyte temperature or AlF3 dose were extremes. Most
of both the “corner sheddings” and the “chunks” occurred at BrAZ while Min.
distance or AlF3 dose or Electrolyte level were extremes.</p>
    </sec>
    <sec id="sec-12">
      <title>KhAZ</title>
    </sec>
    <sec id="sec-13">
      <title>BoAZ</title>
      <p>0.08
BrAZ</p>
    </sec>
    <sec id="sec-14">
      <title>Duration of pouring (sec) Dose of alumina (kg) Number of Alumina doses (pcs) Cryolite ratio</title>
    </sec>
    <sec id="sec-15">
      <title>Most of the anode effects occurred at KhAZ while Dose of alumina or Back EMF or</title>
    </sec>
    <sec id="sec-16">
      <title>Electrolyte temperature were extremes, at BoAZ most of the anode effects were</title>
      <p>accompanied by extreme values of Counter EMF or Coefficient of anode-cathode
distance or Aluminium level, at BrAZ most of the anode effects were accompanied by
extreme values of AlF3 dose or Min. distance or CPC temperature.</p>
      <p>In most cases, technological disorders occur when several parameters have extreme
values at the same time. The distribution of disorders events in the experimental areas
by the number of parameters with extreme values is shown below in Figures 1, 2, 3.</p>
      <sec id="sec-16-1">
        <title>Anode effects</title>
        <p>Spikes
2000
t 1500
n
u
co1000
e
s
aC 500
0
1
2
3
4
5
12
13
14
15
16
6 7 8 9 10 11</p>
      </sec>
      <sec id="sec-16-2">
        <title>Number of extreme parameters</title>
        <p>Fig. 1. Distribution of disorders events by the number of parameters with extreme values
at KhAZ.</p>
        <p>1400
1200
t 1000
n
uo 800
c
se 600
aC 400
200</p>
        <p>0
12000
10000
tn 8000
u
co 6000
e
sa 4000
C
2000
0
5 6 7 8 9</p>
      </sec>
      <sec id="sec-16-3">
        <title>Number of extreme parameters</title>
      </sec>
      <sec id="sec-16-4">
        <title>Anode effects</title>
      </sec>
      <sec id="sec-16-5">
        <title>Chunks</title>
      </sec>
      <sec id="sec-16-6">
        <title>Corner sheddings</title>
      </sec>
    </sec>
    <sec id="sec-17">
      <title>It can be seen from the diagrams that during the period of occurrence of disorders, as</title>
      <p>a rule, outliers of values are observed for several parameters, but there are cases when
technological disorders occurred when the values of the parameters were within the
statistical norm. At the same time, the number and composition of parameters are
different for different types of disorders.</p>
      <p>Moreover, regardless of the aluminum production technology, in the case of anode
effects, the number of parameters with extreme values is less than in the case of
formations on the anodes. So, KhAZ is characterized by extreme values of 2-4
parameters for the anode effect and 6-8 parameters for “spikes”; BoAZ is
characterized by extreme values of 1-2 parameters for the anode effect, 5-7
parameters for “lagging” and 4-6 parameters for “spikes”; BrAZ is characterized by
extreme values of 4-6 parameters in case of anode effects, 9-11 parameters in cases of
“corner shedding” and “chunks”.</p>
      <p>Also, this research included the correlation analysis of parameters in part of
extreme values. The result demonstrated a quite strong relationship between the
following parameters: for KhAZ: Duration of pouring and Velocity ratio with
correlation coefficient -0.69, Amperage and Bus voltage with correlation coefficient
0.74; for BoAZ: Electrolyte temperature and Cryolite ratio with correlation
coefficient 0.91, Cell Voltage and Electrolyte level with correlation coefficient 0.82,</p>
    </sec>
    <sec id="sec-18">
      <title>Cell Voltage and Number of Alumina doses with correlation coefficient -0.86; for</title>
    </sec>
    <sec id="sec-19">
      <title>BrAZ: Distance from anode face and Anode void with correlation coefficient 0.96,</title>
      <p>Number of Alumina doses and Time of Alumina doses with correlation coefficient 0.9,</p>
    </sec>
    <sec id="sec-20">
      <title>Aluminium level and Electrolyte level with correlation coefficient -0.84.</title>
    </sec>
    <sec id="sec-21">
      <title>The distribution of the number of parameters with extreme values and the number</title>
      <p>of technological disorders for each cell showed that in most cases (75%-95%
depending on the disorder type) a large number of disorders are accompanied by a
large number of extreme values of technological parameters. Additionally, it was
possible to identify periods of everyday disorders with varying duration and to rank
the cells of the experimental areas by the number of technological disorders.</p>
      <p>The analysis of detailed data made it possible to detect the dependence of the
number of technological disorders on the location of the anodes in the cells (Figures
4, 5). For instance, at KhAZ we can observe significantly more "spikes" on the anodes
of the front side of the cells – in its central part (anodes No. 9 and No. 10) and along
the edges (anodes No. 1 and No. 18). At BoAZ, in contrast, we can observe more
“spikes” and “laggings” on the anodes of the backside of the cells – mostly around the
edges (anodes No. 22, 23 and 33, 34).</p>
      <p>500
400
300
200
100</p>
      <p>0
500
400
300
200
100
0
1
3
5
7
9 11 13 15 17 19 21 23 25 27 29 31 33 35</p>
      <sec id="sec-21-1">
        <title>Anod number</title>
        <p>Fig. 5. Distribution of “spikes” and “laggings” cases by the cell anodes at BoAZ.</p>
      </sec>
    </sec>
    <sec id="sec-22">
      <title>Thus, as a result of a detailed analysis of the monitoring data in the context of extreme values of the controlled technological parameters, the authors determined the characteristic dependencies and features of the functioning of individual units of the aluminum production complex in atypical operating modes.</title>
      <p>Conclusion</p>
    </sec>
    <sec id="sec-23">
      <title>In this paper, the authors carried out the analysis of the aluminum production process</title>
      <p>disruptions in terms of the extreme values of the technological parameters for three
experimental areas: KhAZ, BoAZ and BrAZ.</p>
      <p>The analysis of the statistical characteristics showed that the cells, in the context
of the same parameters, differ significantly both in the average values of the
parameters and in their deviation intervals. Within the study, for each experimental
area, the parameters with the largest percent of anomalies were determined. The
distribution of disorders events (in the cases of anode effects and formations on the
anode face) by the number of parameters with extreme values was obtained. The
results showed that in most cases (75%-95%) a large number of disorders are
accompanied by a large number of extreme values of technological parameters. The
analysis of detailed data revealed the dependence of the number of technological
disorders on the location of the anodes in the cells.</p>
    </sec>
    <sec id="sec-24">
      <title>Thus, the results of research allowed us to obtain new knowledge about technological disorders and features of abnormal working states of aluminum reduction cells, detect the technological patterns, conditions and causes for the occurrence of technological disorders.</title>
    </sec>
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