<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>ADBU Journal of Engineering Technology 10
(2021).
[12] R. Jana</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5958/2454-762X.2021</article-id>
      <title-group>
        <article-title>A novel artificial intelligence technique for enhancing the annual profit of wind farm</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Prasun Bhattacharjee</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Rabin K. Jana</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Somenath Bhattacharya</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Indian Institute of Management Raipur</institution>
          ,
          <addr-line>Sejbahar, Chhattisgarh 492015</addr-line>
          ,
          <country country="IN">India</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Jadavpur University</institution>
          ,
          <addr-line>188 Raja S.C. Mallick Road, Kolkata 700032</addr-line>
          ,
          <country country="IN">India</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2014</year>
      </pub-date>
      <volume>40</volume>
      <fpage>1</fpage>
      <lpage>6</lpage>
      <abstract>
        <p>While climate change is triggering of calamitous aftermaths globally, wind energy ofers an apposite alternate to conventional fossil fuels for abating greenhouse gas emanations. Economic profitability is an important factor for the green transformation of electricity generation businesses for achieving carbon neutrality as proposed in the Paris agreement of 2015. The current research aspires to expand the annual profit of wind farms employing an adapted genetic algorithm. A dynamic tactic for allotting the crossover and mutation factors has been utilized to quantify their proportional proficiency. A randomly chosen variable wind flow pattern has been employed for calculating the annual profit of wind farms. The research inferences validate the higher competence of escalating mutation and crossover possibilities tactic for expanding the annual profit of wind farms with two arbitrarily selected terrain settings.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Annual profit maximization</kwd>
        <kwd>crossover</kwd>
        <kwd>genetic algorithm</kwd>
        <kwd>mutation</kwd>
        <kwd>windfarm</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>crashed dramatically over the earlier few decades
transnationally[5]. Researchers from every corner of the globe
The never-ending release of Green House Gases (GHG) are uninterruptedly endeavoring to boost the
profitabilinto the air is swelling the air temperature and atypical ity of WPG industries to support nations in achieving
meteorological conditions triggering the macro-climate their carbon neutrality goals as quickly as feasible[6].
alteration of the planet[1]. Renewable energy proposes a Genetic Algorithm (GA) was utilized for wind power
proliferating alternative amid the ever-increasing inter- generation site design in Gökçeada islet [7]. Saroha
national trepidation for the constricted provision of fossil and Aggarwal [8] offered a simulation intended for
fuels and their perilous penalties on the atmosphere[2]. WPG guesstimate with GA and Neural Network
Astoundingly, the utilization of renewable power inflated (NN). An NN-empowered technique with Particle
by 3% in 2020, even though the requirement of non- Swarm Optimization (PSO) and GA has been
renewable fuels collapsed throughout the globe due to projected for WPG prognostication [9]. Roy and Das
pandemic-related restrictions[3]. [10] have exercised GA with PSO for WPG expenditure</p>
      <p>Accompanied by low GHG production benefit, renew- minimization. A proportional study of GA and Binary
able power solutions like wind energy is necessitated PSO has been presented to curtail the WPG
to stay practicable by propositioning inexpensive gen- expenditure [11]. Although most of the studies focused
eration charge through greater consistency and nom- on reducing the WPG charge, more research needs to
inal cost of maintenance to expedite de-carbonization be aimed at expanding the financial sustainability of
of universal energy techniques to a greater degree wind energy ventures for fulfilling the 2015 Paris
[4]. The Wind Power Generation (WPG) expense has agreement commitments made by various governments
and global entities.</p>
      <p>IVUS 2022: 27th International Conference on Information Technology, This research purposes to realize the maximum annual
May 12, 2022, Kaunas, Lithuania profit of WPG farm for a randomly generated wind flow
*Corresponding author. pattern and two arbitrarily selected layout settings.
Be† These authors contributed equally. cause of the intricacy of the WPG process, conventional
r$kjapnraas1u@ngbmhaatitla.c@o mgm(Rai.lK.c.oJman(aP).; Bsnhba_ttjauc@hayrajheeo)o;.com optimization tactics are inept to manage such conditions.
(S. Bhattacharya) Artificial Intelligence (AI) methods have been previously
 https://www.researchgate.net/profile/Prasun-Bhattacharjee-2 engaged in miscellaneous technical fields and are apt for
(P. Bhattacharjee); the present optimization situation for their heftiness and
https://www.researchgate.net/profile/Rabin-Jana (R. K. Jana) prompt computing fitness[12, 13, 14, 15, 16].
(R. K00.0J0a-n0a0)0;10-090409-30-050828-332(P8.6-B5h4a5t0ta(cSh.aBrhjeaett)a;c0h0a0r0y-0a0)01-8564-112X GA is a prominent AI-aided method emulating the
© 2022 Copyright for this paper by its authors. Use permitted under Creative Commons License process of organic predilection and ensuing the objective
CPWrEooUrckReshdoinpgs IhStpN:/c1e6u1r3-w-0s.o7r3g ACttEribUutRion W4.0oInrtekrnsahtioonpal (PCCroBYce4.0e).dings (CEUR-WS.org) of eminent computer scientist Alan Turing to form a
‘knowledge machinery’ impending the strategy of genetic
development[17]. GA has been applied in the present
research accompanied by a proportional assessment of
two distinct procedures of choosing the probabilities of
crossover and mutation processes.</p>
      <sec id="sec-1-1">
        <title>2. Problem construction</title>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2.1. Objective function</title>
      <p>The power generated by Wind Turbine (WT) can be
expressed as follows.</p>
      <p>=
where   denotes the generated power,  signifies the
density of air,  represents the cross-sectional area, 
is the speed of the wind,  is the Betz threshold value
and  is the angular error of yaw[11, 18]. The current
research is dedicated to increasing the annual profit of a
WPG farm. The objective function can be formulated as
follows.</p>
      <p>= [ −  ] × 
where  denotes the yearly profit,  signifies the
marketing value per unit of wind power,  represents the
generation price per unit of wind energy and 
indicates the wind power generated yearly. The generation
charge of wind power has been calculated as per the
function provided by Wilson et al.[19]. The randomly
generated airflow has been presented in Fig.1.
(1)
(2)</p>
    </sec>
    <sec id="sec-3">
      <title>2.2. Terrain settings</title>
      <p>Two arbitrarily selected terrain situations have been
selected for evaluating the annual profit of the WPG system.
One of the terrains is with no obstacle and another one
has an obstacle within it. The presence of obstacles has
been considered to evaluate its efect on the
profitability of the wind farm and increase the practicability of
the simulation. Although the terrain settings selected
for the current research are square, they can be easily
modified to any rectangular shape as per the need of the
decision-makers. The terrain settings have been
graphically shown in Figs. 2 and 3.</p>
      <sec id="sec-3-1">
        <title>3. Optimization algorithm</title>
        <p>GA has been employed in the current research to
determine the optimal annual profit of the WPG farm for the
randomly selected wind flow pattern and two different
layout settings. The algorithm has been briefly discussed
as follows. GA has been employed in the current research
to determine the optimal annual profit of the WPG farm
for the randomly selected wind flow p attern a nd two
different layout settings. The algorithm has been briefly
discussed as follows[12].</p>
        <p>1. Establish the basic factors like populace size,
repetition number, probabilities for crossover, and
mutation.
2. Organize the populace indiscriminately.
3. Calculate the suitability of all distinct
chromosomes.
4. Accomplish the arithmetic crossover technique
as follows.
a) Choose a numeral arbitrarily between 0
and 1. If it is less than the chance of the
crossover technique, suggest the parental
element.
b) Stimulate the crossover activity.
c) Reconsider the relevance of the
descen</p>
        <p>dants.
d) If the successor is reasonable, adapt it into</p>
        <p>the up-to-date populace.
5. Achieve the mutation method as follows.</p>
        <p>a) Elect a numeral arbitrarily between 0 and 1.</p>
        <p>If it is less than the chance of the mutation
tactic, suggest the parental chromosome.
b) Stimulate the mutation action.
c) Reconsider the fitness of the mutated units.
d) If the mutated unit is viable, adapt it into</p>
        <p>the fresh populace.
6. Measure the appropriateness of the novel units
shaped by crossover and mutation methods.
7. Pick the most prominent result understanding
the keenness of the choice-maker.
non-linearly modifying method for assigning the
proportions of crossover and mutation procedures of the
GA-based wind farm design process. The values of
diverse factors associated with the considered optimization
process have been exhibited in Table 1.
where  is the non-linearly rising crossover possibility.
1 and 2 are the bounds of the crossover proportion.
 is the present recurrence count and  represents
the uppermost reiteration count. The dynamic mutation
probability has been calculated as follows.</p>
        <p>= 1 +
(2 − 1)
(︂  )︂(3/2)}︃

(4)
where  is the non-linearly growing mutation
possibility. 1 and 2 are the bounds of the mutation
proportion.</p>
        <sec id="sec-3-1-1">
          <title>Parameter</title>
        </sec>
        <sec id="sec-3-1-2">
          <title>Output</title>
        </sec>
        <sec id="sec-3-1-3">
          <title>Blade Radius</title>
        </sec>
        <sec id="sec-3-1-4">
          <title>Inter-WT Gap</title>
        </sec>
        <sec id="sec-3-1-5">
          <title>Minimum Operational Wind Speed</title>
        </sec>
        <sec id="sec-3-1-6">
          <title>Maximum Operational Wind Speed</title>
        </sec>
        <sec id="sec-3-1-7">
          <title>Capital Expenditure per WT</title>
        </sec>
        <sec id="sec-3-1-8">
          <title>Expense per Sub-Station</title>
        </sec>
        <sec id="sec-3-1-9">
          <title>Yearly Operational Expenditure</title>
        </sec>
        <sec id="sec-3-1-10">
          <title>Interest</title>
        </sec>
        <sec id="sec-3-1-11">
          <title>Probable Life</title>
        </sec>
        <sec id="sec-3-1-12">
          <title>WT per Sub-Station</title>
        </sec>
        <sec id="sec-3-1-13">
          <title>Value</title>
          <p>1500 W
38.5 m
308 m
12 km/hr
72 km/hr
USD 750,000
USD 8,000,000
USD 20,000</p>
          <p>3%
20 years</p>
          <p>30
The optimal placements of WTs for Layout 1 using the
4. Results and discussion novel dynamic and conventional static approach for
allocating the factors of crossover and mutation processes
GAs have been utilized abundantly in the wind farm have been shown graphically in Figs. 4 and 5
respecdesigning process. They recommend a noticeable and tively. This terrain has no obstacle within its boundaries.
acknowledged paradigm when contrasted with other op- The possible locations for placing WTs has been marked
timization processes from the realm of artificial intelli- with circular red marks. The optimal placements of WTs
gence. The purpose of the existing research is to expand for Layout 2 using the novel dynamic and conventional
the annual profit o f wind farms. T he v ending charge static approach for allocating the factors of crossover and
of wind energy has been considered as USD 0.033/kWh. mutation processes have been shown graphically in Figs.
Accompanied by the deliberation of the standard static 6 and 7 respectively. This layout has an obstacle of 500 m
method, the current study has considered an innovative x 500 m dimension within its terrain. The optimization
algorithms have been programmed to avoid placing any
WT within the boundaries of the obstacle.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>5. Conclusion</title>
      <p>Global organizations are continually attempting in the
direction of reduction of carbon trails by eficient
application of renewable sources like wind power as planned</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>The first author acknowledges the financial contribution
of TEQIP section of Jadavpur University for aiding the
current research work.
by the Paris treaty of 2015. This study concentrates on
amplifying the yearly profit of wind farms through an
innovative dynamic approach for allocating the crossover
and mutation factors. The optimization results confirm
the enhanced suitability of the novel dynamic technique
over the typical static method for improving the WPG
site designs with the highest yearly profit. The projected
method can aid the WPG trades to plan a reasonably
feasible wind farm with the realistic deliberation of
numerous cost-allied factors and flexible airflow
circumstances. The present research can bring about
impeccable prospects for wind farm design enhancement and
economic sustainability of WPG systems for facilitating
the de-carbonization of the global power sector.</p>
    </sec>
  </body>
  <back>
    <ref-list />
  </back>
</article>