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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Development of the design method for the optimal design of the Neutron Converter experimental plant</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>T.R. Smetanin</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>E.A. Gureva</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>V.V. Andreev</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>N.P. Tarasova</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>N.G. Andreev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>smetanintimur@yandex.ru</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>infantoplus@yandex.ru</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>vyach.andreev@mail.ru</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>@rambler.ru</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>andreyev@mail.ru</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>JSC «OKBM Africantov»</institution>
          ,
          <addr-line>Nizhny Novgorod</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Nizhny Novgorod State Technical University</institution>
          ,
          <addr-line>Nizhny Novgorod</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>2</fpage>
      <lpage>8</lpage>
      <abstract>
        <p>The article discusses methods for optimizing the design of the Neutron Converter research plant design with parameters that are most suitable for a particular consumer. 38 similar plant structures with different materials and sources were calculated, on the basis of which the most optimal options were found. As part of the interaction between OKBM Afrikantov JSC and the Nizhny Novgorod State Technical University named after R. E. Alekseev, the Neutron Converter research plant was designed and assembled. The universal neutron converter is a device for converting a stream of fast neutrons emitted by isotopic sources into a "standardized" value of flux density with known parameters in the volume of the central part of the product, which is the working part of the universal neutron converter. To supply neutron converters to other customer organizations (universities, research organizations and collective centers), it is necessary to take into account the experience of operating an existing facility, as well as rationalize the design process of each specific instance in accordance with the requirements of the customer.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The scheme and method of arrangement of isotopic
neutron sources selected in the project provide the
maximum possible uniformity (isotropy and uniformity
of axial-radial distribution) of thermal neutron flux
density in the scope of the working part of the universal
neutron converter [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>The goal is to develop a universal design method for
the optimal design of the Neutron Converter experimental
plant to select the most suitable version of the plant for a
particular consumer. In order to achieve this goal, it is
necessary to perform the following tasks: to study the
normative documentation on the use of ionizing radiation
sources; examine the design of the existing experimental
plant and construct and calculate the model of the
existing design model; develop a methodology for
finding the most suitable plant parameters for a particular
consumer; calculate neutron fluxes and radiation doses at
various versions of the experimental installation; analyze
the results of the calculations.</p>
    </sec>
    <sec id="sec-2">
      <title>Regulatory documentation</title>
      <p>
        Neutron sources are required for neutron converter
operation. Therefore, documents regulating ionizing
radiation sources operation were reviewed. The main
documents are: Federal Law No. 170-FL "On the Use of
Atomic Energy" [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], Radiation Safety Standards
(NRB-99/2009) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and Basic Sanitary Rules for
Ensuring Radiation Safety (OSPORB-99/2010) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>The above regulations postulate.</p>
      <p>1: During the design and installation of the converter,
measures must be taken to ensure biological protection
that meets the above requirements. Biological protection
shall ensure that doses and dose capacities established for
radioactive material handling are not exceeded.
2. Persons involved in the work of the converter:
employees and students of the department - must be
considered personnel of group B, and all other persons
the population. This separation should be taken into
account when allowing specialists to work with the plant
and in the room where it is located.</p>
      <p>3. The operating organization (department "Nuclear
reactors and power plants" of the Institute of Nuclear
Energy and Technical Physics named after Academician
F.M. Mitenkov) should develop regulations for the
operation of the plant, the procedure for admission to it,
as well as organize its maintenance and radiation control.</p>
      <p>Based on these documents, conclusions were drawn
about the necessary degree of protection during the
operation of the plant.</p>
      <p>It was calculated that in order to comply with the
standards for dose limits received by personnel when
working with a neutron converter, the biological
protection of the plant should provide a total equivalent
dose rate of neutron and gamma radiation at a distance of
10 cm from the hull of not more than 1.15 mSv/h. This
value is the determining value when designing the
biological protection of the converter.
3.</p>
    </sec>
    <sec id="sec-3">
      <title>Analyze the design of an existing plant</title>
      <p>The universal neutron converter is a device for
converting a stream of fast neutrons emitted by isotopic
sources into a stream of thermal neutrons in the volume
of the central part of the product (Fig. 1).</p>
      <p>To convert the fast neutron flux, it is necessary to
reduce their energy by "converting" them to thermal
ones. This process occurs due to the deceleration of
neutrons during scattering of the moderator elements on
the nuclei. The periphery of the universal neutron
converter performs the functions of biological protection.</p>
      <p>Fig. 1. Design diagram of neutron converter: 1- neutron sources, 2 - plugs, 3 - biological protection, 4 - paraffin, 5-graphite, 6
housing, 7 - working cavity</p>
      <p>The advantages and disadvantages of the design of
the existing plant were analyzed. Both used and
potentially suitable as retardant and/or biological
protection of the converter structural materials were
considered during the analysis. It was concluded that it is
possible to create a variant of the installation design that
provides the required parameters of neutron radiation, but
with smaller weights or overall dimensions than the
existing version of the converter design.</p>
      <p>As neutron sources in the plant, various
plutoniumberyllium (fast neutron sources (FNS) - FNS-6, FNS-8)
and Californium sources were considered, their radiation
spectra necessary for further calculations in programs
were identified and digitized.</p>
      <p>
        For the design of this type of installations, the dose
capacities outside the existing installation and the density
of the thermal neutron flux in its working cavity were
calculated using DOT III programs, and DotGeom
designed to automate the entry of the DOT program
setting zones (Fig. 2) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>Dose capacities outside the existing plant, and the
density of the flux of thermal neutrons in its working
cavity were calculated.</p>
    </sec>
    <sec id="sec-4">
      <title>Technique of optimizing converter design procedure</title>
      <p>To create an optimal neutron converter design
procedure, a basic set of 38 versions of the plant was
compiled and calculated, differing in the neutron sources
and moderator and protection materials used. In each of
these embodiments, the best combination of input and
output characteristics is found. After analyzing and
comparing the optimal implementations of each of the 38
variants, it was concluded that the most preferred
embodiment was the best structural materials and neutron
sources for use in the plant.</p>
      <p>Since the efficiency of the combined protection
differs from the monolithic one, combinations of two
materials were selected as the initial data. All design
versions of neutron converter are given in Table 1.</p>
      <p>The calculation of each version of the neutron
converter design consisted of 2 stages: the calculation of
the moderator and the calculation of biological
protection. The task of the first stage of neutron converter
design is to select and calculate moderator thicknesses,
which provide the maximum possible, when using these
materials, flux of thermal neutrons in the working cavity
of the plant. When choosing the thickness of the layers,
the main criterion was the flux of thermal neutrons in the
working area. Criteria such as weight and size parameters
and cost were secondary, since most of the cost, weight
and size of the plant provides biological protection (Fig.
3, 4).</p>
      <p>Fig. 3. Moderators in vertical section of converter: 1- source;
2air in the source channel; 3- source sleeve; 4- first layer of
moderator; 5 - shell of the central channel; 6- air in the central
channel of the converter; 7- the cell in which the object to be
irradiated will be located; 8-second layer of moderator
Fig. 5. Biological protection in vertical section of converter:
1source; 2- air in the source channel; 3- source sleeve; 4- the first
layer of biological protection; 5- space around converter;
6converter housing; 7- neutron and gamma radiation dose rate
calculation cell; 8 - second layer of biological protection</p>
      <p>The second stage is the calculation of biological
protection. The main task of designing the biological
protection of the neutron converter is to select and
calculate the necessary thicknesses of biological
protection materials that provide the maximum
permissible dose rate level at a distance of 10 cm from
the column body with the minimum possible values of
their weight and size parameters.</p>
      <p>To do this, a calculation was made in R-Z geometry,
which is part of the vertical section of the column in the
direction from the source to the surface of the column
(Fig. 5, 6).</p>
      <p>Fig. 6. Example of calculation results of neutron radiation dose
rate distribution for one of design options</p>
      <p>
        All versions of the column were divided into 3 groups
of three types of sources: Californium, FNS-6 and FNS-8
(Figs 7-9).
All converter characteristics during design can be
divided into 2 groups: input and output. Input
characteristics are: source type, biological protection
materials (BP) and retardant. The output characteristics
are: the thickness and materials of the layers necessary to
obtain the highest density of the thermal neutron flux
while observing radiation safety standards, the density of
the thermal neutron flux in the working cavity of the
plant, mass and size and cost parameters of the converter
[
        <xref ref-type="bibr" rid="ref5 ref6 ref7 ref8">5-8</xref>
        ].
      </p>
      <p>In order to obtain the most efficient installation, it is
necessary to strive to increase the parameter of the
thermal neutron flux in the center and to reduce the
values of mass, size, cost.</p>
      <p>Each embodiment of the neutron converter has 4
defining characteristics. When comparing different
options, it becomes necessary to analyze a 4-dimensional
system of parameters, which is quite difficult without
using additional tools. Therefore, in the process of
optimizing the design procedure, it is necessary to bring
some parameters to relative values and then convolve
them as part of a complex criterion in order to reduce
their number. The parameters of the mass, size and cost
of the column materials were led to relative values,
which, in turn, were reduced to one value - a
comprehensive indicator of the quality of the design
procedure - generalized coefficient N. The result of using
this procedure is to reduce the number of output
characteristics in the considered versions to two, as a
result of which analysis and comparison of the calculated
versions of the neutron converter design is carried out
according to the value of heat flux in the working zone
with a minimum coefficient N, which determines weight
and size and cost characteristics.</p>
    </sec>
    <sec id="sec-5">
      <title>Calculation results</title>
      <p>38 versions of neutron converter design were
analyzed and 3 versions were defined, one for each type
of source, having an optimal set of parameters: maximum
flux of thermal neutrons in the working area of the plant
with minimum weight and size parameters and cost.</p>
      <p>Among the options using the Californium source, the
best way was to achieve the maximum density of thermal
neutron flux in the working zone of the plant, equal to 4.2
· 105 n/cm2 • s. The cost of the converter in this design is
585 thousand rubles, the weight of the installation is 4.8
tons, and the outer radius of housing is 1.2 m.
Polyethylene was considered as a biological protection
material and retardant in this version.</p>
      <p>The best option of all using the Pu-Be source FNS-6
was the version in which the maximum density of
thermal neutron flux in the working zone of the plant was
achieved, equal to 800 n/cm2·s. The cost of the converter
in this design is 18 thousand rubles, the mass of the
installation is 1 ton, and the outer radius of housing is
0.53 m. Water was considered as a biological protection
material and retardant in this version (Fig. 6).</p>
      <p>Among the variants using the Pu-Be source FNS-8,
the best option was similar to the one discussed above for
the source FNS-6 (Fig. 7).</p>
      <p>Based on the results obtained, it is possible to
optimize the design process of experimental plants of this
type with various parameters, depending on the
requirements set by the consumer.</p>
      <p>As a result of the calculation for each version of the
converter, the most advantageous characteristics were
obtained: mass, cost, dimensions</p>
      <p>For a potential customer, it is this output that will be
boundary conditions, and it will be for them to choose the
most suitable option. Each customer has a range of
allowable values of each parameter, and having found
options, all the parameters of which will lie in the
corresponding ranges specified by the customer, it will be
possible to offer him for consideration only those that
satisfy all the requirements of the customer.</p>
      <p>This technique allows you to find the most suitable
options for each particular consumer as soon as possible,
without wasting time calculating and selecting the
necessary parameters, since all possible options have
already been calculated.</p>
      <p>To visualize and simplify this method,
threedimensional space was used, the ports of which are
determined by three parameters set by the customer: the
mass, dimensions and cost of the neutron converter. Each
variant is shown as a point whose coordinates are
determined by its corresponding parameters.
Customerdefined ranges define a three-dimensional shape. If the
point falls within the scope of this shape, then this means
that the parameters of this option meet all the
requirements of the customer (Fig. 10).</p>
      <p>Fig. 10. An example of how to find the best option for a
particular customer</p>
      <p>For example, the customer's design requirements are
as follows: it is necessary to design a neutron converter at
the following specified parameters:
1. total cost: not more than 80 thousand rubles;
2. total weight: not more than 2 tons;
3. installation radius: not more than 0.58 m;
4. neutron source: FNS-6.</p>
      <p>As shown in Fig. 8, the customer's stated
requirements are met by options 17,19 and 23.</p>
      <p>The highest density of thermal neutron flux in the
working area of the plant: 800 n/cm2·s is achieved in
version 19. Therefore, it is advisable for the customer to
propose a project with the characteristics of 19 version, in
which concrete with water is used as the moderator
materials, water as the biological protection (Table 1).
6.</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>During the development of the method for optimizing
the design procedure of the experimental neutron
converter installation, the following results were
obtained:
1. The regulatory documentation was analyzed.
2. A method for optimizing the neutron converter
design procedure has been developed.</p>
      <p>3. Based on the calculations made, a database of
parameters of plant design implementation options was
created, which became the basis of the method of
optimizing the converter design procedure.</p>
      <p>4. Analysis of the obtained calculation results was
carried out, the most preferred materials for the plant
design were identified, the most optimal design of the
plant was determined.</p>
      <p>Using the base of neutron converter design options
and the method of optimizing the design procedure, it is
possible to briefly present to potential customers optimal
plant design options that meet all the requirements both
from the consumer and from supervisory authorities.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgments</title>
      <p>The paper was performed with the support by RFBR,
Grant № 19-07-00455.</p>
    </sec>
    <sec id="sec-8">
      <title>About the authors</title>
    </sec>
  </body>
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