<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    epe
   </journal-id>
   <journal-title-group>
    <journal-title>
     Energy and Power Engineering
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    1949-243X
   </issn>
   <issn publication-format="print">
    1947-3818
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/epe.2025.178013
   </article-id>
   <article-id pub-id-type="publisher-id">
    epe-144943
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Engineering
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    A New Algorithm for Optimal Design of the Recirculating Cooling Water System of Thermal Power Plants Part II: Case Study 2
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Aleksa V.
      </surname>
      <given-names>
       Popadić
      </given-names>
     </name>
    </contrib>
   </contrib-group> 
   <aff id="affnull">
    <addr-line>
     aIndependent Researcher, Gacko, Bosnia&amp;Herzegovina
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     08
    </day> 
    <month>
     08
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    17
   </volume> 
   <issue>
    08
   </issue>
   <fpage>
    241
   </fpage>
   <lpage>
    247
   </lpage>
   <history>
    <date date-type="received">
     <day>
      7,
     </day>
     <month>
      July
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      17,
     </day>
     <month>
      July
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      17,
     </day>
     <month>
      August
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    An innovative approach to the optimization of process parameters and equipment sizes of the recirculating cooling water system for various types of thermal power plants (TPPs) with natural draft wet cooling towers is presented in this paper. This article is organized into several parts to illustrate the application of the proposed optimization method using case studies. Case Study 2 is intended to demonstrate how different combinations of the decision variables affect the optimization results compared to the optimal base case when all decision variables are optimized.
   </abstract>
   <kwd-group> 
    <kwd>
     Thermal Power Plant
    </kwd> 
    <kwd>
      Cooling Water System
    </kwd> 
    <kwd>
      Cold End System
    </kwd> 
    <kwd>
      Natural Draft Cooling Tower
    </kwd> 
    <kwd>
      Steam Condenser
    </kwd> 
    <kwd>
      Optimization
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>
    <xref ref-type="bibr" rid="scirp.144943-"></xref>This article is organized into several parts to illustrate the application of the proposed optimization method using case studies. The case studies are related to the cold end system of a 300 MW TPP. The objective of the studies is to find an optimal design of the system that will perform its task at the lowest possible annual cost (capital and operating) while satisfying the specified input design conditions and operating conditions, as well as the imposed constraints.</p>
   <p>
    <xref ref-type="bibr" rid="scirp.144943-"></xref>In Part I of the article <xref ref-type="bibr" rid="scirp.144943-1">
     [1]
    </xref>, a detailed description of the methodology is included, and Case Study 1 is presented as the base case study. The decision variables are: cooling water approach to the ambient wet bulb temperature (ΔT<sub>app</sub>), cooling water range (ΔT<sub>cw</sub>), steam condenser terminal temperature difference (ΔT<sub>TTD</sub>), cooling water velocity in the steam condenser tubes (v<sub>SCt</sub>), hydraulic water load on the cooling tower fill (q<sub>CTf</sub>), height of the cooling tower fill (H<sub>CTf</sub>), and height of the cooling tower air inlet opening (H<sub>CTi</sub>). The annual cost (capital and operating) of the cooling water system (AC<sub>CWS</sub>) is chosen as the objective function. The optimal values of the decision variables and parameters of the cold end system equipment (SC, CT and CWPs and CWPLs) are determined on the basis that the AC<sub>CWS</sub> is minimal. The exhaustive search algorithm <xref ref-type="bibr" rid="scirp.144943-2">
     [2]
    </xref> <xref ref-type="bibr" rid="scirp.144943-3">
     [3]
    </xref> is used to find the optimal values.</p>
   <p>In this part (Part II) of the article, Case Study 2 is presented to investigate the effect of reducing the global optimization of the system to partial optimization by different combinations of the decision variables.</p>
  </sec><sec id="s2">
   <title>2. Case Study 2</title>
   <p>Case Study 2 is intended to demonstrate how different combinations of the decision variables affect the optimization results compared to the optimal base case OPT-0 when all decision variables are optimized.</p>
   <table-wrap id="table1">
    <label>
     <xref ref-type="table" rid="table1">
      Table 1
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.144943-"></xref>Table 1. Optimization cases for Case Study 2.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td rowspan="2" class="custom-top-td acenter" width="15.60%"><p style="text-align:center">Optimization Case No.</p></td> 
      <td class="custom-top-td acenter" width="84.40%" colspan="7"><p style="text-align:center">Design values of the decision variables</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="11.79%"><p style="text-align:center">ΔT<sub>app</sub> (K)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="13.70%"><p style="text-align:center">ΔT<sub>cw</sub> (K)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="12.87%"><p style="text-align:center">q<sub>CTf</sub> (m<sup>3</sup>/m<sup>2</sup>h)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="11.51%"><p style="text-align:center">H<sub>CTi</sub> (m)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="11.51%"><p style="text-align:center">H<sub>CTf</sub> (m)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="11.26%"><p style="text-align:center">ΔT<sub>TTD</sub> (K)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="11.76%"><p style="text-align:center">v<sub>SCt</sub> (m/s)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="15.60%"><p style="text-align:center">OPT-0</p></td> 
      <td class="custom-top-td acenter" width="11.79%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-top-td acenter" width="13.70%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-top-td acenter" width="12.87%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-top-td acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-top-td acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-top-td acenter" width="11.26%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-top-td acenter" width="11.76%"><p style="text-align:center">optimize</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-1</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">5.5</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">10.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">9.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">1.5</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">1.5</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-2</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">6.0</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">9.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">8.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">1.4</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">optimize</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-3</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">8.5</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">1.4</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">4.0</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">1.9</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-4</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">4.0</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">2.0</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-5</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">6.2</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">8.0</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">9.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">3.5</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">optimize</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-6</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">1.5</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">4.0</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">2.0</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-7</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">8.5</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">9.5</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">optimize</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">4.0</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">2.0</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="15.60%"><p style="text-align:center">OPT-8</p></td> 
      <td class="acenter" width="11.79%"><p style="text-align:center">5.5</p></td> 
      <td class="acenter" width="13.70%"><p style="text-align:center">8.5</p></td> 
      <td class="acenter" width="12.87%"><p style="text-align:center">9.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">9.0</p></td> 
      <td class="acenter" width="11.51%"><p style="text-align:center">1.4</p></td> 
      <td class="acenter" width="11.26%"><p style="text-align:center">4.0</p></td> 
      <td class="acenter" width="11.76%"><p style="text-align:center">2.0</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td acenter" width="15.60%"><p style="text-align:center">OPT-9</p></td> 
      <td class="custom-bottom-td acenter" width="11.79%"><p style="text-align:center">optimize</p></td> 
      <td class="custom-bottom-td acenter" width="13.70%"><p style="text-align:center">9.0</p></td> 
      <td class="custom-bottom-td acenter" width="12.87%"><p style="text-align:center">9.0</p></td> 
      <td class="custom-bottom-td acenter" width="11.51%"><p style="text-align:center">8.5</p></td> 
      <td class="custom-bottom-td acenter" width="11.51%"><p style="text-align:center">1.3</p></td> 
      <td class="custom-bottom-td acenter" width="11.26%"><p style="text-align:center">4.0</p></td> 
      <td class="custom-bottom-td acenter" width="11.76%"><p style="text-align:center">1.8</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>Ten characteristic optimization cases, with different subsets of fixed and free decision variables, as shown in <xref ref-type="table" rid="table1">
     Table 1
    </xref>, are compared at an assumed LCOE of 100 €/MWh. The various scenarios were selected on the following basis:</p>
   <p>Note: The cooling water range (ΔT<sub>cw</sub>) is a common decision variable for the design of the cooling tower and steam condenser.</p>
   <p>All design/operating conditions and constraints for Case Study 2 are the same as for Case Study 1, except for the following:</p>
  </sec><sec id="s3">
   <title>3. Numerical Results</title>
   <p>Based on the input parameters, the optimal results for the decision variables and equipment sizes of the cold end system components are presented in Annex, <xref ref-type="table" rid="tableTables A1-A4">
     Tables A1-A4
    </xref>. The optimal results are shown as a function of the average annual ambient wet bulb temperature and the LCOE.</p>
   <p>The decision variables that are not subject to optimization in the tables are marked in bold font.</p>
  </sec><sec id="s4">
   <title>4. Conclusions</title>
   <p>Based on the optimization results given in the tables in Annex A, the following conclusions can be drawn:</p>
  </sec>
 </body><back>
  <ref-list>
   <title>References</title>
   <ref id="scirp.144943-ref1">
    <label>1</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Popadić, A.V. (2025) A New Algorithm for Optimal Design of the Recirculating Cooling Water System of Thermal Power Plants Part I: Description of the Methodology&amp;Case Study 1. Energy and Power Engineering, 17, 217-240.&gt;https://doi.org/10.4236/epe.2025.178012 
    </mixed-citation>
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     Black, A.P. (2019) CS 350 Algorithms and Complexity, Lecture 6: Exhaustive Search Algorithms. Department of Computer Science, Portland State University. &gt;https://web.cecs.pdx.edu/~black/cs350/Lectures/lec06-Exhaustive%20Search.pdf 
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     Lincke, T.R. (2002) Exploring the Computational Limits of Large Exhaustive Search Problems. Ph.D. Thesis, Swiss Federal Institute of Technology. &gt;https://doi.org/&gt;https://doi.org/10.3929/ethz-a-004442444
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 </back>
</article>