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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The Criterion of the Effective Use of Energy Resources While Producing Plant Products of Specified Quality</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vitaliy Lysenko</string-name>
          <email>lysenko@nubip.edu.ua</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Valerii Koval</string-name>
          <email>v.koval@nubip.edu.ua</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Igor Bolbot</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Taras Lendiel</string-name>
          <email>taraslendel@gmail.com</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kateryna Nakonechna</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anastasija Bolbot</string-name>
        </contrib>
      </contrib-group>
      <abstract>
        <p>A new criterion for efficient use of energy resources, the essence of which is to minimize the difference between the relative indicators of phytoclimatic life support and phyto-development of plants, is proposed for use in automation systems implemented in protected ground facilities. It minimizes energy costs, while ensuring a specified quality of plants and products, and takes into account the phases of plant development.</p>
      </abstract>
      <kwd-group>
        <kwd>1 energy efficient control system</kwd>
        <kwd>energy resources</kwd>
        <kwd>phytomonitoring</kwd>
        <kwd>mathematical modeling</kwd>
        <kwd>greenhouse facilities</kwd>
        <kwd>product quality monitoring</kwd>
        <kwd>control strategies</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>At present, specialized studies have not
established links between energy consumption
and the state of the biological component of the
object in protected ground facilities, which are
characterized by the spatial distribution of
technological parameters and indicators of plant
quality. This is not taken into account in the
development of principles for the construction
and operation of energy-flow automation systems
in spatially distributed facilities – greenhouse
facilities for the production of products of
specified quality.</p>
      <p>Rational regulation of the microclimate in the
greenhouse provides 90% of the crop [1]. The
main components of the microclimate are
temperature, light, CO2 level in the greenhouse
and relative humidity. The maximum level of
productivity is achieved by reducing plant stress
and ensuring an optimal balance of all factors. The
condition of the plant and development are
evidenced by uniform flowering, fruiting
(generativeness) and leaf formation and
development of the root system (vegetativeness)
[2, 3].</p>
      <p>There also arises a need to develop the
criterion of the effective use of energy resources,
the essence of which is to minimize the difference
between the relative indicators of phytoclimatic
life support and phyto-development of plants. The
use of the above-mentioned criterion in
automation systems for the control of energy
flows in protected ground facilities for the
cultivation of plant products ensures the
minimization of energy costs and the
predetermined quality of plant products, taking
into account the phases of plant development.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Problem Statement</title>
      <p>The purpose of this paper is to develop a
criterion for the efficient use of energy resources
by the control system in an industrial greenhouse,
which will increase the energy efficiency of plant
production, while ensuring its specified quality.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Research Methods</title>
      <p>The assessment of the quality of tomatoes
grown in protected ground facilities, both based
on the traditional differential and integrated
methods, does not solve the problem successfully,
because there is a need to take into account plant
development at different phases.</p>
      <p>It is proposed to define phytometric
parameters of plant development in a non-contact
manner. In the recognition system, the image is
processed and entered into the data bank, where it
is stored in the control unit, subjected to wavelet
analysis, determination and comparison of the
coefficients of mathematical decomposition with
the database for determination of plant
phytometric parameters [3, 20].</p>
      <p>
        Phytometry criterion Fk is characterised by a
large number of indicators of plant development
in different plant phases, which have different
measurement scales. We use the following
correspondence to bring them to one scale of
quality assessment of plant development:
Fk =f(К1,К2,…Кn),
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
where К1, К2,…Кn – individual indicators of plant
development quality at different phases.
      </p>
      <p>In general, the definition of quality indicators
of plant development will be presented as [2, 4]:</p>
      <p>
        T  H j  T
K =  Aj  (ai  ki ) = (Aj G jg )
j=1  i=1  j=1
,
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
where Т – number of groups of tomato quality
indicators; Н – the number of quality indicators in
the j group; аі – weighting factor of the i property;
ki – relative i quality indicator; Gjg – the level of
quality of the j group of indicators (0≤Gjg≤1); Aj
– the weight parameter of the j group of tomato
quality indicators.
      </p>
      <p>Based on the use of the principles of
qualimetry [5] we obtained complex indicators for
assessing the quality of plant development (К1-Кn)
on the atmospheric temperature Θ and solar
radiation L. The following regression equations
were derived from the studies:</p>
      <p>- formation by a plant of quantity of flowers in
an inflorescence:</p>
      <p>
        К1(Θ,
L)=-0,05417+0,0375·Θ-,55843·L0,00225·L·Θ2+0,066563·L·Θ+0,11419·L2-0,01188· L2·Θ+0,000339·L2·Θ2;
(
        <xref ref-type="bibr" rid="ref3">3</xref>
        )
- formation by the plant of the number of fruits
on the branch:
      </p>
      <p>
        К2(Θ,
L)=0,24375-0,03125·Θ-0,00203·L0,00013·L·Θ2+0,014219·L·Θ+
+0,020176·L2-0,00194·L2·Θ+0,0000181·L2·Θ2; (
        <xref ref-type="bibr" rid="ref4">4</xref>
        )
- the average weight of the fruit:
К3(Θ,
L)=1,79762-0,08929·Θ-1,1082·L-0,0012·L·Θ2+0,084598·L·Θ+0,102193·L2-0,00625· L2·Θ+0,0000658·L2·Θ2; (
        <xref ref-type="bibr" rid="ref5">5</xref>
        )
- the weight gain of the fruit:
      </p>
      <p>
        К4(Θ,
L)=0,211504+0,01404·Θ-0,39973·L0,00051·L·Θ2+0,023981·L·Θ+
+0,027996·L2-0,00039· L2·Θ+0,0000093·L2·Θ2 (
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
Assessment of the quality of plant
development by the integral dependence of
indicators with the same weighting factor of 0.25
made it possible to obtain the dependence of the
phytometry criterion of plant development quality
on the influence of average daily atmospheric
temperature and light intensity (Fig. 1):
      </p>
      <p>
        Fk (Θ, L)=0,517645 - 0,01491·Θ - 0,49627·L
-0,00099·L·Θ2 + 0,045348·L·Θ + 0,063845·L
20,00488· L2·Θ + 0,000103·L2·Θ2 (
        <xref ref-type="bibr" rid="ref7">7</xref>
        )
      </p>
      <p>Using phytometry criterion, we determine the
level of plant development during its growing
season. Maintaining the maximum level of
development will allow to form the maximum
yield in plants at the initial stage. At the
temperatures of 15 - 24ºC in the greenhouse we
may observe the best formation of the plant yield
(the number of flowers in the inflorescence, the
number of fruits on the branch, the average weight
of the fruit, the weight gain of the fruit).</p>
      <p>To improve plant development, production
conditions must be maintained, during which
temperatures measured at different points in the
greenhouse will be evaluated and compared. The
control of technological parameters of the
microclimate during plant growing is based on the
measured phytometric parameters of the plant,
which allows to assess the development of plants
by introducing a phytotemperature criterion to
assess the condition of the plant [6, 20].</p>
      <p>The phytotemperature criterion Fk for
estimating the development of a plant and its
temperature environment evaluates the part of the
heat coming from the heat carrier of the
greenhouse heating system for heating the plant
and the environment around it [6]. Description of
experimental data was performed using a standard
technique based on the least square method. Thus,
the regression equation was obtained explicitly:</p>
      <p>
        Fk (Θр,
Θ)=-4,96+0,059·Θр0,243·Θ+0,027·Θр·Θ+0,0031·Θр-0,0091·Θ-0,0175·Θр2-0,0175·Θ2
(
        <xref ref-type="bibr" rid="ref8">8</xref>
        )
      </p>
      <p>To ensure the technological requirements for
growing quality plant products in the greenhouse,
it is proposed to assess the temperature of plants
(Θр) and the atmosphere of the greenhouse (Θ)
based on the use of phytotemperature criteria for
assessing plant development (Fig. 2).</p>
      <p>According to the analysis of research
materials, it is established that the use of
phytotemperature criterion makes it possible to
obtain the maximum yield from the plant. As a
result, from one bush we get less than 160 grams
of weight gain per day, because at the
temperatures of 17 - 22ºC the plant receives
insufficient energy for better development and the
increase is 5.2 - 6 grams, and at temperatures
above 25ºC the increase in yield will be less than
6 g per hour.
by
area of the greenhouse. Let  ̃ (  ̃ ) – the value
of the indicator of the life support of the plant,
determined on the i row of the j place at the
corresponding total intensity of solar radiation
(  ̃ ), where ; = 1,  ; n – number of
rows; k – the measurement number in the row
( = 1,   );   – the number of measured plant
life support factors in the j place; ( = 1,  ); m –
the number of measurements.</p>
      <p>We interpolate discrete dependences
splines:
where are
respectively the lowest and highest value of the
total intensity of solar radiation, for which the life
support of the plant was determined during the
measurement period.</p>
      <p>
        We choose on the interval of N
evenly spaced nodes tk . Let us calculate
the values of splines (
        <xref ref-type="bibr" rid="ref9">9</xref>
        ) at these points:
      </p>
      <p>
        These values describe the Fk for all rows and
places with the same total intensity of solar
radiation. The value of the indicator for the entire
area of the greenhouse (
        <xref ref-type="bibr" rid="ref10">10</xref>
        ) is presented in (Fig.
3).
      </p>
      <sec id="sec-3-1">
        <title>Let us determine the average value rows:</title>
        <p>
          (
          <xref ref-type="bibr" rid="ref10">10</xref>
          )
        </p>
        <p>
          Graphs of the average value of the
phytoclimatic indicator of plant life in rows (
          <xref ref-type="bibr" rid="ref13">13</xref>
          )
are shown in (Fig. 4).
        </p>
        <p>
          The average value of the plant life support over
the entire area of the greenhouse is determined by
the expression:
in the
. (
          <xref ref-type="bibr" rid="ref13">13</xref>
          )
        </p>
        <p>
          (
          <xref ref-type="bibr" rid="ref14">14</xref>
          )
        </p>
        <p>Given that – are coordinates of the i row,
we will determine the coordinates of the center of
all rows:</p>
        <p>Taking into account the zones of similarity in
the distribution of microclimate parameters, we
determine the distances between the rows relative
to their central row, describing the spatial density
of the rows in which the measurements were
made:</p>
        <p>The average value of the plant life support over
the entire area Fk = 1.2 indicates an excessive
level of plant life support parameters.</p>
        <p>According to the considered algorithm we will
determine the value of phytometric criterion (Fm),
phytotemperature criterion (Ft) and their average
value – phytodevelopment index (Fp) by rows
(Fig. 5), which will allow to establish the level of
plant development and crop quality [7].</p>
      </sec>
      <sec id="sec-3-2">
        <title>Values inverse to distances</title>
        <p>sense of weighted averaging
, make
coefficients
It was found that the average value of
phytoclimatic index is Fk=1,2, of phytometric
criterion is Fm=0,82, of phytotemperature
criterion is Ft=0,67 and their average value of
phytodevelopment index is Fp=0,74 on the whole
area of the greenhouse.</p>
        <p>Exceedance in the value of the Fk&gt;1 indicator
shows an excessive level of parameters of plant
life support established by agrotechnology,
respectively, and the overuse of energy carriers
for their provision. The value of Fp&lt;1 indicates
insufficient levels of plant development and
quality of plant products in the greenhouse.
Obtaining quality products with minimal
consumption of energy resources is possible
provided that the criterion of efficient use of
energy resources for the production of plant
products of a specified quality is minimized
(Fig. 6):</p>
        <p>
          R= Fk - Fp →min.
(
          <xref ref-type="bibr" rid="ref18">18</xref>
          )
        </p>
        <p>The strategy of effective control is to reduce
the standard deviation between the phytoclimatic
indicator of plant life support and the value of
phyto-development, when its increase indicates
inefficient energy consumption by the existing
control system of plant production technology of
a specified quality.
4. Conclusions</p>
        <p>1. The authors offer to introduce the following
components into the algorithm of operation of the
control system:</p>
        <p>- phytometric criterion, which is characterized
by a significant number of indicators of plant
development in its various phases, namely
flowering, fruit formation and harvest; assessment
of the quality of plant development will be carried
out using the integrated dependence of indicators.
The use of phytometry criterion determines the
level of plant development during its growing
season, and its strict observance allows to form
the maximum yield of plants at the initial stage;
- phytotemperature criterion for assessing the
state of development of the plant, which creates
conditions for obtaining the maximum yield of
tomatoes; analysis of changes in plant
temperature and atmospheric temperature in a
greenhouse equipped with an automatic air
temperature control system proves the need to use
the proposed criterion.</p>
        <p>2. To assess the conditions of plant
development in the greenhouse the authors used
phytoclimatic indicator of plant life support and
assessment of the plant itself – the indicator of
phyto-development, which allows to determine
the level of plant development and crop quality.
Exceedance of phytoclimatic value over 1 has
been found to indicate an excessive level of plant
life support from established agro-technology,
and, respectively, an overexpenditure of energy
resources spent on their provision. The value of
the indicator of phyto-development less than 1
indicates the insufficiently possible level of plant
development and the quality of plant products. It
has been established that obtaining quality
products with a minimum consumption of energy
resources is possible provided that the criterion of
efficient use of energy resources is minimized,
when the average growth of the greenhouse to
46% indicates inefficient energy consumption of
existing control systems.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>5. References</title>
    </sec>
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