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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Built Environ.</journal-id>
<journal-title>Frontiers in Built Environment</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Built Environ.</abbrev-journal-title>
<issn pub-type="epub">2297-3362</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1468537</article-id>
<article-id pub-id-type="doi">10.3389/fbuil.2024.1468537</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Built Environment</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Performance investigation of a hybrid liquid-desiccant air conditioning system in a pharmaceutical warehouse: a case study and refined strategy</article-title>
<alt-title alt-title-type="left-running-head">Huang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fbuil.2024.1468537">10.3389/fbuil.2024.1468537</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Guan</surname>
<given-names>Bowen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2797972/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qi</surname>
<given-names>Meiwei</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Yanbin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Haobo</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Beijing Tsinghua Tongheng Planning and Design Institute Co., Ltd.</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Human Settlements and Civil Engineering</institution>, <institution>Xi&#x2019;an Jiaotong University</institution>, <addr-line>Xi&#x2019;an</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Beijing Tongheng Energy and Environment Science Research Institute Co., Ltd.</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/188876/overview">Hasim Altan</ext-link>, Prince Mohammad bin Fahd University, Saudi Arabia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1017647/overview">Xianting Li</ext-link>, Tsinghua University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2801730/overview">Tao Zhang</ext-link>, Tsinghua University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Bowen Guan, <email>guanbw@xjtu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>09</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>10</volume>
<elocation-id>1468537</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>07</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>08</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Huang, Guan, Qi, Liu and Yang.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Huang, Guan, Qi, Liu and Yang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Liquid-desiccant-based air conditioning demonstrates significant potential for energy conservation and emission reduction in industrial building applications, contributing to the advancement of a cleaner industrial future. In this study, the on-site performance of a hybrid liquid-desiccant air conditioning system installed in a pharmaceutical warehouse was assessed. The results revealed that blind use of the liquid desiccant caused considerable heat&#x2013;cold offset in the system, which badly restricted its energy performance. Under the basic conditions, only 81.8% of the total cooling capacity provided by the system could be obtained through the return air, while the remaining 18.2% was wasted owing to the considerable heat&#x2013;cold offset. A refined system was then proposed to improve the system energy performance. By avoiding the heat&#x2013;cold offset, the coefficient of performance could be improved from 2.2&#x2013;2.4 to 2.9&#x2013;3.1. Moreover, an electricity savings rate of 20.2% was achieved with the refined system over the duration of the entire cooling season. Hence, this work provides valuable insights into energy conservation and emission reduction in industrial air conditioning systems, supporting the process of industrial decarbonization.</p>
</abstract>
<kwd-group>
<kwd>industrial building</kwd>
<kwd>humidity control</kwd>
<kwd>liquid desiccant</kwd>
<kwd>on-site measurements</kwd>
<kwd>energy savings</kwd>
<kwd>carbon emission</kwd>
</kwd-group>
<contract-sponsor id="cn001">China Postdoctoral Science Foundation<named-content content-type="fundref-id">10.13039/501100002858</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Natural Science Basic Research Program of Shaanxi Province<named-content content-type="fundref-id">10.13039/501100017596</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Indoor Environment</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Liquid desiccant techniques have developed rapidly in recent times (<xref ref-type="bibr" rid="B14">Luo and Yang, 2022</xref>; <xref ref-type="bibr" rid="B22">Su et al., 2022</xref>; <xref ref-type="bibr" rid="B19">Qi et al., 2020</xref>). As alternatives to conventional vapor compression air conditioning systems, liquid-desiccant air conditioning (LDAC) systems have shown advantages in terms of energy savings, pollutant filtration, and comfort (<xref ref-type="bibr" rid="B20">Salikandi et al., 2021</xref>; <xref ref-type="bibr" rid="B18">Oladosu et al., 2021</xref>; <xref ref-type="bibr" rid="B21">Sampath et al., 2020</xref>). Thus, LDAC systems have found wide applications in different types of buildings (<xref ref-type="bibr" rid="B7">Guan et al., 2020a</xref>; <xref ref-type="bibr" rid="B15">Ma et al., 2024</xref>; <xref ref-type="bibr" rid="B8">Guan et al., 2020b</xref>).</p>
<p>In recent years, numerous efforts have been made by researchers to combine the conventional vapor compression system with LDAC system to improve the energy performance for air conditioning. As an experimental effort, <xref ref-type="bibr" rid="B10">Lee and Jeong (2021)</xref> developed and tested a hybrid LDAC system; their results showed that the energy efficiency ratio of the system reached 7.7 in summer and 2.5 in winter, demonstrating high potential for energy savings. <xref ref-type="bibr" rid="B9">Kumar et al. (2022)</xref> studied a hybrid LDAC system and demonstrated that its coefficient of performance (COP) increased by 8.1% compared to those of conventional vapor compression systems. <xref ref-type="bibr" rid="B17">Mansuriya et al. (2020a)</xref> experimentally assessed a small-scale hybrid liquid-desiccant-dehumidification-incorporated vapor compression system and showed that it achieved a maximum COP improvement of 27.5% over the standalone vapor compression system.</p>
<p>With respect to simulations, <xref ref-type="bibr" rid="B4">Dai et al. (2020)</xref> established a mathematical model to study a new type of hybrid LDAC system; their results showed that compared to traditional systems, the energy savings could reach over 90% and exergy loss of the system could be reduced by 39%. <xref ref-type="bibr" rid="B6">Guan et al. (2021)</xref> proposed a hybrid LDAC system for rooms that did not require fresh air; their simulation results showed that this hybrid LDAC system exhibited a higher COP than the reference system. <xref ref-type="bibr" rid="B11">Li et al. (2022)</xref> conducted a simulation study on a heat-pump-driven LDAC system and showed that its energy efficiency under typical operating conditions could be increased by more than 11.4% and that energy consumption could be reduced by more than 31.9% over traditional air conditioning systems. <xref ref-type="bibr" rid="B3">Chen et al. (2020)</xref> investigated an LDAC system powered by solar energy and showed that a 2% increase in the relative humidity of indoor air corresponded to reductions of 2.8&#xb0;C in the regeneration temperature and 62.1&#xa0;kW in the regeneration heat. <xref ref-type="bibr" rid="B1">Bhowmik et al. (2022)</xref> established a mathematical model for a hybrid LDAC system and found that its COP could be increased by 40.8%&#x2013;74.8% over conventional vapor compression systems. <xref ref-type="bibr" rid="B2">Chen et al. (2019)</xref> proposed a novel hybrid system involving a liquid desiccant and CO<sub>2</sub> transcritical cycles; they showed that the total power consumption of the hybrid system could be reduced by 13.7% at an evaporation temperature of 12&#xb0;C compared with cooling dehumidification at 7&#xb0;C with conventional CO<sub>2</sub> transcritical cycles. <xref ref-type="bibr" rid="B5">Evron et al. (2019)</xref> developed an efficient hybrid LDAC system and showed that it outperformed other hybrid configurations tested; further, by minimizing absorbent circulation between the two dehumidifiers, two distinct dehumidifier temperature levels were maintained to further improve the system performance. <xref ref-type="bibr" rid="B16">Mansuriya et al. (2020b)</xref> investigated a modified liquid-desiccant-dehumidification-incorporated vapor compression refrigeration system whose COP could be improved by up to 68.4% compared to conventional systems.</p>
<p>Previous studies have demonstrated that combining liquid-desiccant systems with vapor compression systems can significantly enhance the energy performances of air conditioning systems. However, such combined systems have not been fully validated for real-world engineering applications. Therefore, on-site measurements were conducted in this study to evaluate the energy performance of a hybrid LDAC system installed in a pharmaceutical warehouse. Based on the findings, a refined system is proposed to further improve energy efficiency. The main contributions of this study are as follows: 1) We highlight the unique air conditioning requirements of industrial warehouses, which differ from those of conventional industrial workshops, and demonstrate that the conventional reheating design is not necessary when using the LDAC system. 2) Unlike extant experimental and simulation studies in literature, the present work presents an engineering-based analysis, providing valuable and credible insights for improving the energy performances of industrial air conditioning systems.</p>
</sec>
<sec id="s2">
<title>2 System description and methodology</title>
<sec id="s2-1">
<title>2.1 System description</title>
<p>The pharmaceutical warehouse considered for the purpose of this study was located in Jiangsu Province of China and had an area of 1728&#xa0;m<sup>2</sup> and a height of 17&#xa0;m. The air conditioning system in the warehouse is composed of two types of subsystems, namely, two conventional systems (subsystem A) and three liquid-desiccant systems (subsystem B). The two subsystems A1 and A2 had identical configurations, as shown in <xref ref-type="fig" rid="F1">Figures 1A, B</xref>. Under subsystem A, the return air from the warehouse (<italic>A</italic>
<sub>in</sub>) is cooled and dehumidified by the cooling coil (powered by chilled water) to the supply air state <italic>A</italic>
<sub>out</sub>. The three subsystems B1, B2, and B3 also had identical configurations, as shown in <xref ref-type="fig" rid="F1">Figures 1A, C</xref>. The liquid dehumidifier (DEH) and liquid regenerator (REG) are crossflow and adiabatic modules.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>System configuration: <bold>(A)</bold> schematic of the air conditioning system, <bold>(B)</bold> photograph of subsystem A, and <bold>(C)</bold> photograph of subsystem B.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g001.tif"/>
</fig>
<p>There are three types of flow circuits in subsystem B. The first circuit is concerned with the return air and regeneration air; the return air from the warehouse (<italic>A</italic>
<sub>in</sub>) is first cooled by the evaporator (EVA) 2&#x23; to state <italic>A</italic>
<sub>1</sub> and is then dehumidified by the DEH to state <italic>A</italic>
<sub>2</sub>. Next, it is heated by the condenser (CON) 2&#x23; to the supply air state <italic>A</italic>
<sup>&#x2019;</sup>
<sub>out</sub>; the outdoor regeneration air then absorbs moisture from the desiccant solution in the REG, which is then exhausted to the outdoor. With respect to the second desiccant solution circuit, the solution in the DEH is first cooled by EVA 1&#x23; and sprayed onto the DEH to absorb moisture from the return air so that the solution becomes diluted. A part of this diluted solution is then pumped to the REG side for regeneration. The solution at the bottom of the REG is heated by CON 1&#x23; and sprayed onto the REG to release moisture to the regeneration air. Then, a part of the solution after regeneration is pumped to the DEH side, and the entire solution is circulated. In addition, a solution&#x2013;solution heat exchanger (HX) is installed in the interstage pipes to recover heat between the diluted and concentrated solutions. With respect to the last refrigerant circuit, R134a is used as the refrigerant in the two heat pump loops, where heat pump 1&#x23; provides cooling for dehumidification in the DEH and heating for regeneration in the REG. Moreover, heat pump 2&#x23; provides both cooling and heating to the return air; the return air is first dehumidified by EVA 2&#x23; and DEH and is then reheated by CON 2&#x23; to adjust the air to the demand state.</p>
</sec>
<sec id="s2-2">
<title>2.2 On-site measurements</title>
<p>On-site measurements were conducted in early August 2023, and the measurement points are depicted in <xref ref-type="fig" rid="F1">Figure 1A</xref>. Air temperatures and humidities were monitored at different locations. For the return air mass flow rates in subsystems A and B (<italic>m</italic>
<sub>a,A</sub> and <italic>m</italic>
<sub>a,B</sub>), the air face velocities at <italic>A</italic>
<sub>in</sub> of the two subsystems were measured; then, <italic>m</italic>
<sub>a,A</sub> and <italic>m</italic>
<sub>a,B</sub> were obtained based on the air duct sizes. For the regeneration air mass flow rate in subsystem B (<italic>m</italic>
<sub>r</sub>), the air face velocity at <italic>R</italic>
<sub>in</sub> was measured. The refrigerant pressures in the evaporators and condensers were monitored to calculate the evaporation and condensation temperatures of heat pumps 1&#x23; and 2&#x23;. Furthermore, the chilled water temperatures were monitored at the entrance and exit of the cooling coil along with its flow rate. The electrical power consumed by the compressors of the heat pumps, fans, and solution pumps was monitored. The specifications of all the measuring devices are listed in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Specifications of the measuring devices.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Parameter</th>
<th align="center">Device</th>
<th align="center">Accuracy</th>
<th align="center">Range</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="center">Air</td>
<td align="center">Temperature</td>
<td align="center">Testo 635</td>
<td align="center">&#xb1;0.2&#xb0;C</td>
<td align="center">&#x2212;20&#xb0;C to 70&#xb0;C</td>
</tr>
<tr>
<td align="center">Relative humidity</td>
<td align="center">Testo 635</td>
<td align="center">&#xb1;2%</td>
<td align="center">0&#x2013;100%</td>
</tr>
<tr>
<td align="center">Velocity</td>
<td align="center">Testo 425</td>
<td align="center">&#xb1;0.03&#xa0;m/s &#x2b; 5%</td>
<td align="center">0&#x2013;20&#xa0;m/s</td>
</tr>
<tr>
<td align="left"/>
<td align="center">Pressure drop</td>
<td align="center">TSI 5825</td>
<td align="center">&#xb1;1&#xa0;Pa</td>
<td align="center">&#x2212;3735 to 3735&#xa0;Pa</td>
</tr>
<tr>
<td rowspan="2" align="center">Chilled Water</td>
<td align="center">Temperature</td>
<td align="center">Pt 100</td>
<td align="center">&#xb1;0.1&#xb0;C</td>
<td align="center">&#x2212;50&#xb0;C to 100&#xb0;C</td>
</tr>
<tr>
<td align="center">Flow rate</td>
<td align="center">Ultrasonic flowmeter</td>
<td align="center">&#xb1;10%</td>
<td align="center">0&#x2013;32&#xa0;m/s</td>
</tr>
<tr>
<td align="center">Electricity</td>
<td align="center">Electrical power</td>
<td align="center">Testo 770</td>
<td align="center">&#xb1;3%</td>
<td align="center">1 &#xd7; 10<sup>&#x2212;4</sup> to 2.4 &#xd7; 10<sup>5</sup>&#xa0;W</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Mathematical model and validation</title>
<sec id="s2-3-1">
<title>2.3.1 Dehumidifier/regenerator</title>
<p>A mathematical model for the crossflow DEH/REG was adopted from a previous study (<xref ref-type="bibr" rid="B12">Liu et al., 2007</xref>) to simulate the performance of the refined system. The energy, water content, and solute mass balances are expressed as <xref ref-type="disp-formula" rid="e1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="e3">3</xref>:<disp-formula id="e1">
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</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x22c5;</mml:mo>
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</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>m</italic>
<sub>a</sub> and <italic>m</italic>
<sub>s</sub> are the mass flow rates of the air and solution, respectively; <italic>h</italic>
<sub>a</sub> is the enthalpy of air; <italic>h</italic>
<sub>s</sub> is the enthalpy of the solution; <italic>&#x3c9;</italic>
<sub>a</sub> is the air humidity ratio; <italic>H</italic> and <italic>L</italic> are the height and length of the DEH or REG, respectively; <italic>X</italic> is the mass concentration of the solution.</p>
<p>The overall heat and mass transfer between the air and desiccant solution are given by <xref ref-type="disp-formula" rid="e4">Equations 4</xref>, <xref ref-type="disp-formula" rid="e5">5</xref>, respectively:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mi>L</mml:mi>
</mml:mfrac>
<mml:mo>&#x22c5;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mi>L</mml:mi>
</mml:mfrac>
<mml:mo>&#x22c5;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <italic>NTU</italic> is the number of mass transfer units; <italic>h</italic>
<sub>e</sub> is the enthalpy of the air in equilibrium with the desiccant solution; <italic>&#x3c9;</italic>
<sub>a</sub> is the humidity ratio of the air in equilibrium with the desiccant solution.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Heat pump</title>
<p>The heat transfer effectiveness values of the evaporator and condenser (<italic>&#x3b5;</italic>
<sub>e</sub> and <italic>&#x3b5;</italic>
<sub>c</sub>) are expressed by <xref ref-type="disp-formula" rid="e6">Equations 6</xref>, <xref ref-type="disp-formula" rid="e7">7</xref>, respectively:<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>t</italic>
<sub>s,1</sub>, <italic>t</italic>
<sub>s,2</sub>, <italic>t</italic>
<sub>s,3</sub>, and <italic>t</italic>
<sub>s,4</sub> are the solution temperatures at <italic>S</italic>
<sub>1</sub>, <italic>S</italic>
<sub>2</sub>, <italic>S</italic>
<sub>3</sub>, and <italic>S</italic>
<sub>4</sub>, respectively; <italic>t</italic>
<sub>e</sub> and <italic>t</italic>
<sub>c</sub> are the evaporation and condensation temperatures of the heat pump, respectively.</p>
<p>The COP ratio of the heat pump cycle to the reverse Carnot cycle (<italic>&#x3b6;</italic>
<sub>hp</sub>) is defined by <xref ref-type="disp-formula" rid="e8">Equation 8</xref>:<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b6;</mml:mi>
<mml:mtext>hp</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>hp</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>ideal</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m9">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>hp</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>hp</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>ideal</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>273.15</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <italic>COP</italic>
<sub>hp</sub> is the coefficient of performance of the heat pump; <italic>COP</italic>
<sub>ideal</sub> is the coefficient of performance of the reverse Carnot cycle; <italic>P</italic>
<sub>ph</sub> is the electrical power of the compressor in the heat pump loop. <italic>Q</italic>
<sub>e</sub> and <italic>Q</italic>
<sub>c</sub> are the cooling and condensing heating capacities that are expressed by <xref ref-type="disp-formula" rid="e10">Equations 10</xref>, <xref ref-type="disp-formula" rid="e11">11</xref>, respectively:<disp-formula id="e10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where <italic>h</italic>
<sub>s,1</sub>, <italic>h</italic>
<sub>s,2</sub>, <italic>h</italic>
<sub>s,3</sub>, and <italic>h</italic>
<sub>s,4</sub> are the enthalpies of the solutions at <italic>S</italic>
<sub>1</sub>, <italic>S</italic>
<sub>2</sub>, <italic>S</italic>
<sub>3</sub>, and <italic>S</italic>
<sub>4</sub>, respectively.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Model validation</title>
<p>To validate the model accuracy, numerical results obtained with this model are compared with experimental results from literature (<xref ref-type="bibr" rid="B7">Guan et al., 2020a</xref>). The air temperature and humidity ratio at <italic>A</italic>
<sub>out</sub> are the focus for evaluating the model accuracy. <xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the comparison results. The discrepancies between the numerical and experimental results are observed to be within 10%, thereby validating the model accuracy.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Comparison of the numerical and experimental results from literature (<xref ref-type="bibr" rid="B8">Guan et al., 2020b</xref>): <bold>(A)</bold> air temperature at <italic>A</italic>
<sub>out</sub> and <bold>(B)</bold> air humidity ratio at <italic>A</italic>
<sub>out</sub>.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g002.tif"/>
</fig>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Evaluation index</title>
<p>To evaluate the energy performance of the system, the COP of the system (<italic>COP</italic>
<sub>sys</sub>) is introduced as follows:<disp-formula id="e12">
<mml:math id="m12">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>sys</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>cooler</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>hp</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>fan</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>solution</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>where <italic>Q</italic>
<sub>a</sub> is the sum of the cooling capacities achieved by the return air in the two subsystems A and three subsystems B, which can be calculated using <xref ref-type="disp-formula" rid="e2">Equation 2</xref>; <italic>P</italic>
<sub>cooler</sub> is the equivalent electrical power for producing chilled water in the cooling coils in subsystems A, which can be calculated using <xref ref-type="disp-formula" rid="e3">Equation 3</xref>; <italic>P</italic>
<sub>hp</sub> is the electrical power of the three compressors in subsystems B; <italic>P</italic>
<sub>fan</sub> is the electrical power of the fans in the entire system; <italic>P</italic>
<sub>solution</sub> is the electrical power of the solution pumps in subsystems B.<disp-formula id="e13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">A</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>in</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>out</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>in</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>out</mml:mtext>
</mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
<disp-formula id="e14">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>cooler</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mtext>cooler</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mtext>chiller</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>chiller</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>tower</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mtext>pump</mml:mtext>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>Here, <italic>h</italic>
<sub>a,in</sub> is the enthalpy of air at <italic>A</italic>
<sub>in</sub>; <italic>h</italic>
<sub>a,out</sub> and <italic>h</italic>
<sub>&#x2019;a,out</sub> are the enthalpies of air at <italic>A</italic>
<sub>out</sub> in subsystem A and <italic>A</italic>
<sup>&#x2019;</sup>
<sub>out</sub> in subsystem B, respectively; <italic>Q</italic>
<sub>cooler</sub> is the cooling capacity provided by the cooling coils in subsystem A; <italic>COP</italic>
<sub>w</sub> is the coefficient of performance for producing chilled water; <italic>Q</italic>
<sub>chiller</sub> is the cooling capacity provided by the central chiller in the cooling plant; <italic>P</italic>
<sub>chiller</sub>, <italic>P</italic>
<sub>tower</sub>, and <italic>P</italic>
<sub>pump</sub> are electrical powers of the chiller, fans in the cooling tower, and cooling/chilled water pumps in the cooling plant, respectively.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Basic condition</title>
<p>The operating condition at 12:00 on August 5th is hereafter referred to as the basic condition. Under the basic condition, the air handling processes in subsystems A and B are as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. Because the air handling processes in subsystems A1 and A2 are similar and those in subsystems B1, B2, and B3 are similar, only the air handling processes in subsystems A1 and B1 are shown in <xref ref-type="fig" rid="F3">Figures 3A, B</xref>, respectively. The detailed test results are listed in <xref ref-type="table" rid="T2">Table 2</xref>. Taking subsystem A1 as an example, the return air at <italic>A</italic>
<sub>in</sub> (19.1&#xb0;C and 9.6&#xa0;g/kg) is processed to state <italic>A</italic>
<sub>out</sub> (11.5&#xb0;C and 7.6&#xa0;g/kg) by the cooling coil. The chilled water in the cooling coil provides a cooling capacity of 206.6&#xa0;kW to the return air. Moreover, the values of <italic>Q</italic>
<sub>chiller</sub>, <italic>P</italic>
<sub>chiller</sub>, <italic>P</italic>
<sub>tower</sub>, and <italic>P</italic>
<sub>pump</sub> in the central cooling plant can be read directly from the existing monitoring platform, and a <italic>COP</italic>
<sub>w</sub> of 4.3 was calculated under the basic condition. Thus, <italic>P</italic>
<sub>cooler</sub> was determined to be 48.0&#xa0;kW and <italic>P</italic>
<sub>fan</sub> in subsystem A1 was 22.2&#xa0;kW. Taking subsystem B1 as an example, the return air at <italic>A</italic>
<sub>in</sub> (19.1&#xb0;C and 9.6&#xa0;g/kg) is first managed to state <italic>A</italic>
<sub>1</sub> (12.5&#xb0;C and 7.9&#xa0;g/kg) by EVA 2&#x23; and dehumidified to state <italic>A</italic>
<sub>2</sub> (12.5&#xb0;C and 4.9&#xa0;g/kg) by the DEH; finally, it is reheated to <italic>A</italic>
<sup>&#x2019;</sup>
<sub>out</sub> (26.3&#xb0;C and 4.9&#xa0;g/kg) by CON 2&#x23;. The heat pumps, fans, and solution pumps account for electrical power values of 9.7&#xa0;kW, 3.1&#xa0;kW, and 0.3&#xa0;kW, respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Air handling processes shown through psychrometric charts for <bold>(A)</bold> subsystem A1 and <bold>(B)</bold> subsystem B1.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g003.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Test results under the basic condition (<italic>R</italic>
<sub>in</sub>: 34.7&#xb0;C, 22.9&#xa0;g/kg; <italic>COP</italic>
<sub>w</sub> &#x3d; 4.3).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="12" align="center">Air</th>
<th colspan="3" align="center">Chilled water</th>
<th colspan="3" align="center">Electrical power</th>
</tr>
<tr>
<th align="left"/>
<th align="center">m<sub>a,A</sub>(<italic>m</italic>
<sub>a,B</sub>)</th>
<th align="center">
<italic>m</italic>
<sub>r</sub>
</th>
<th colspan="2" align="center">
<italic>A</italic>
<sub>in</sub>
</th>
<th colspan="2" align="center">
<italic>A</italic>
<sub>1</sub>
</th>
<th colspan="2" align="center">
<italic>A</italic>
<sub>2</sub>
</th>
<th colspan="2" align="center">
<italic>A</italic>
<sub>out</sub>(<italic>A</italic>
<sup>&#x2019;</sup>
<sub>out</sub>)</th>
<th colspan="2" align="center">
<italic>R</italic>
<sub>out</sub>
</th>
<th align="center">
<italic>m</italic>
<sub>w</sub>
</th>
<th align="center">
<italic>t</italic>
<sub>w,in</sub>
</th>
<th align="center">t<sub>w,out</sub>
</th>
<th align="center">
<italic>P</italic>
<sub>hp</sub>
</th>
<th align="center">P<sub>fan</sub>
</th>
<th align="center">
<italic>P</italic>
<sub>solution</sub>
</th>
</tr>
<tr>
<th align="left"/>
<th align="left"/>
<th align="left"/>
<th align="center">
<italic>t</italic>
</th>
<th align="center">&#x3c9;</th>
<th align="center">
<italic>t</italic>
</th>
<th align="center">&#x3c9;</th>
<th align="center">
<italic>t</italic>
</th>
<th align="center">
<italic>&#x3c9;</italic>
</th>
<th align="center">
<italic>t</italic>
</th>
<th align="center">&#x3c9;</th>
<th align="center">
<italic>t</italic>
</th>
<th align="center">
<italic>&#x3c9;</italic>
</th>
<th align="left"/>
<th align="left"/>
<th align="left"/>
<th align="left"/>
<th align="left"/>
<th align="left"/>
</tr>
<tr>
<th align="left"/>
<th align="center">(kg/s)</th>
<th align="center">(kg/s)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(g/kg)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(g/kg)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(g/kg)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(g/kg)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(g/kg)</th>
<th align="center">(kg/s)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(&#xb0;C)</th>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Subsystem A1</td>
<td align="center">15.9</td>
<td align="center">-</td>
<td align="center">19.1</td>
<td align="center">9.6</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">11.5</td>
<td align="center">7.6</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">16.1</td>
<td align="center">8.8</td>
<td align="center">11.9</td>
<td align="center">-</td>
<td align="center">22.2</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Subsystem A2</td>
<td align="center">11.7</td>
<td align="center">-</td>
<td align="center">19.3</td>
<td align="center">9.7</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">11.6</td>
<td align="center">7.7</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">10.3</td>
<td align="center">8.8</td>
<td align="center">12.3</td>
<td align="center">-</td>
<td align="center">17.7</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Subsystem B1</td>
<td align="center">1.8</td>
<td align="center">2.7</td>
<td align="center">19.1</td>
<td align="center">9.6</td>
<td align="center">12.5</td>
<td align="center">7.9</td>
<td align="center">12.5</td>
<td align="center">4.9</td>
<td align="center">26.3</td>
<td align="center">4.9</td>
<td align="center">38.6</td>
<td align="center">27.7</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">9.7</td>
<td align="center">3.1</td>
<td align="center">0.3</td>
</tr>
<tr>
<td align="left">Subsystem B2</td>
<td align="center">1.3</td>
<td align="center">2.4</td>
<td align="center">19.2</td>
<td align="center">9.5</td>
<td align="center">12.3</td>
<td align="center">7.8</td>
<td align="center">12.0</td>
<td align="center">4.7</td>
<td align="center">24.3</td>
<td align="center">4.7</td>
<td align="center">39.3</td>
<td align="center">28.3</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">11.1</td>
<td align="center">3.3</td>
<td align="center">0.4</td>
</tr>
<tr>
<td align="left">Subsystem B3</td>
<td align="center">1.3</td>
<td align="center">2.4</td>
<td align="center">19.1</td>
<td align="center">9.5</td>
<td align="center">12.3</td>
<td align="center">7.8</td>
<td align="center">12.0</td>
<td align="center">5.2</td>
<td align="center">25.3</td>
<td align="center">5.2</td>
<td align="center">38.6</td>
<td align="center">27.7</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">10.9</td>
<td align="center">3.0</td>
<td align="center">0.4</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>m</italic>
<sub>w</sub>, mass flow rate of chilled water; <italic>t</italic>
<sub>w,in</sub>, chilled water temperature at the entrance of the cooling coil; <italic>t</italic>
<sub>w,out</sub>, chilled water temperature at the exit of the cooling coil.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>There are two types of heat&#x2013;cold offsets in the system that severely deteriorate the energy performance of the entire system. The first type of heat&#x2013;cold offset occurs between subsystems A and B, as shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>. Under the basic condition, the warehouse requires a cooling capacity of 286.0&#xa0;kW, with a sensible load of 197.1&#xa0;kW and latent load of 188.9&#xa0;kW. However, subsystem A can only handle the return air to a state near saturation, which causes the ratio of latent to sensible loads undertaken by subsystems A to be less than the demand. To adjust the supply ratio of latent to sensible loads, subsystem B assumes a latent load of 50.9&#xa0;kW but provides a heating capacity of 27.9&#xa0;kW. Hence, the cooling provided by subsystem A and heating provided by subsystem B are offset by each other. The second type of heat&#x2013;cold offset occurs within subsystem B. As shown in <xref ref-type="fig" rid="F4">Figure 4B</xref>, EVA 2&#x23; and DEH cool the return air, while CON 2&#x23; reheats it, indicating a heat&#x2013;cold offset within subsystem B. Additionally, the liquid desiccant circulating between the dehumidifier and regenerator contributes to this offset. Under the basic condition, only 81.8% of the total cooling capacity provided by the system is achieved with the return air, while the remaining 18.2% is wasted owing to the considerable heat&#x2013;cold offset.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Heat&#x2013;cold offsets <bold>(A)</bold> between subsystems A and B and <bold>(B)</bold> within subsystem B.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g004.tif"/>
</fig>
<p>To further understand the roles of subsystems A and B, the cooling load undertaken and electrical power consumed by them are shown in <xref ref-type="fig" rid="F5">Figures 5A, B</xref>, respectively. Subsystem B only provide 6% of the total cooling capacity, as shown in <xref ref-type="fig" rid="F5">Figure 5A</xref>, whereas they are responsible for 25% of the total electrical power consumed, as shown in <xref ref-type="fig" rid="F5">Figure 5B</xref>. In other words, the role of the subsystem A can be understood as to provide nearly all of the cooling capacity. However, the ratio of latent to sensible loads undertaken by subsystem A is lower than the demand ratio. Then, subsystem B can be understood to adjust the ratio of latent to sensible loads undertaken by subsystem A to the demand value.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Cooling load and electrical power distributions: <bold>(A)</bold> cooling loads of subsystems A and B; <bold>(B)</bold> electrical power consumed by the devices.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g005.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Variable condition</title>
<sec id="s3-2-1">
<title>3.2.1 Ambient temperature and humidity in the warehouse</title>
<p>The outdoor air temperature and humidity during the test period are shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. To examine the ambient temperature and humidity trends in the warehouse, air temperature and humidity sensors were installed at different locations, as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, and the measured results at the monitoring points are shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. Under the existing air conditioning system, the ambient temperature can be controlled to below 20.0&#xb0;C (limit value), ambient relative humidity can be controlled to below 75% (limit value), and ambient humidity ratio can be controlled to below 11.0&#xa0;g/kg.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Weather conditions during the test period: <bold>(A)</bold> outdoor air temperature, and <bold>(B)</bold> outdoor air humidity ratio.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Locations of the air temperature and humidity monitoring points in the warehouse: <bold>(A)</bold> photograph of the warehouse, and <bold>(B)</bold> locations of the monitoring points.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Indoor air temperature and humidity measurements under the air conditioning system.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g008.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Energy performance</title>
<p>To validate the accuracy of the test results, the energy unbalance rates for subsystems A and B (<italic>&#x3b4;</italic>
<sub>A</sub> and <italic>&#x3b4;</italic>
<sub>B</sub>) are introduced as follows:<disp-formula id="e15">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">A</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>in</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>out</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">w</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>out</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">w</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>in</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
<disp-formula id="e16">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>in</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>out</mml:mtext>
</mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mtext>hp</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x23;</mml:mo>
</mml:mrow>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>where <italic>h</italic>
<sub>a,1</sub> and <italic>h</italic>
<sub>a,2</sub> are the air enthalpy values at <italic>A</italic>
<sub>1</sub> and <italic>A</italic>
<sub>2</sub> in subsystem B; <italic>P</italic>
<sub>hp,2&#x23;</sub> is the electrical power of the compressor in heat pump 2&#x23; in subsystem B. From the results listed in <xref ref-type="table" rid="T3">Table 3</xref>, it is observed that all <italic>&#x3b4;</italic>
<sub>A</sub> and <italic>&#x3b4;</italic>
<sub>B</sub> values are within 10%, thereby validating the accuracy of the results.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Test results during the test period (<italic>m</italic>
<sub>a,A</sub> &#x3d; 1.8&#xa0;kg/s, <italic>m</italic>
<sub>r,A</sub> &#x3d; 2.7&#xa0;kg/s, <italic>m</italic>
<sub>a,B</sub> &#x3d; 15.9&#xa0;kg/s).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="left"/>
<th colspan="6" align="center">Subsystem A</th>
<th colspan="9" align="center">Subsystem B</th>
<th align="center">Entire system</th>
</tr>
<tr>
<th align="left"/>
<th align="left"/>
<th colspan="3" align="center">1&#x23;</th>
<th colspan="3" align="center">2&#x23;</th>
<th colspan="3" align="center">1&#x23;</th>
<th colspan="3" align="center">2&#x23;</th>
<th colspan="3" align="center">3&#x23;</th>
<th align="left"/>
</tr>
<tr>
<th align="left"/>
<th align="left"/>
<th align="center">
<italic>Q</italic>
<sub>a</sub>
</th>
<th align="center">
<italic>P</italic>
<sub>sum</sub>
</th>
<th align="center">
<italic>&#x3b4;</italic>
<sub>A</sub>
</th>
<th align="center">
<italic>Q</italic>
<sub>a</sub>
</th>
<th align="center">P<sub>sum</sub>
</th>
<th align="center">
<italic>&#x3b4;</italic>
<sub>A</sub>
</th>
<th align="center">
<italic>Q</italic>
<sub>a</sub>
</th>
<th align="center">
<italic>P</italic>
<sub>sum</sub>
</th>
<th align="center">&#x3b4;<sub>B</sub>
</th>
<th align="center">
<italic>Q</italic>
<sub>a</sub>
</th>
<th align="center">P<sub>sum</sub>
</th>
<th align="center">
<italic>&#x3b4;</italic>
<sub>B</sub>
</th>
<th align="center">Q<sub>a</sub>
</th>
<th align="center">
<italic>P</italic>
<sub>sum</sub>
</th>
<th align="center">
<italic>&#x3b4;</italic>
<sub>B</sub>
</th>
<th align="center">
<italic>COP</italic>
<sub>sys</sub>
</th>
</tr>
<tr>
<th align="left"/>
<th align="left"/>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
<th align="center">(%)</th>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
<th align="center">(%)</th>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
<th align="center">(%)</th>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
<th align="center">(%)</th>
<th align="center">(kW)</th>
<th align="center">(kW)</th>
<th align="center">(%)</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="center">Aug. 5th</td>
<td align="center">9:00</td>
<td align="center">178.3</td>
<td align="center">62.7</td>
<td align="center">4.5</td>
<td align="center">130.6</td>
<td align="center">47.4</td>
<td align="center">8.6</td>
<td align="center">4.0</td>
<td align="center">9.8</td>
<td align="center">6.2</td>
<td align="center">3.2</td>
<td align="center">9.5</td>
<td align="center">7.6</td>
<td align="center">1.2</td>
<td align="center">9.7</td>
<td align="center">2.1</td>
<td align="center">2.2</td>
</tr>
<tr>
<td align="center">12:00</td>
<td align="center">206.6</td>
<td align="center">70.2</td>
<td align="center">1.4</td>
<td align="center">156.4</td>
<td align="center">54.1</td>
<td align="center">3.3</td>
<td align="center">8.1</td>
<td align="center">13.1</td>
<td align="center">1.7</td>
<td align="center">9.2</td>
<td align="center">14.8</td>
<td align="center">5.4</td>
<td align="center">5.7</td>
<td align="center">14.3</td>
<td align="center">4.4</td>
<td align="center">2.3</td>
</tr>
<tr>
<td align="center">15:00</td>
<td align="center">219.2</td>
<td align="center">74.4</td>
<td align="center">4.0</td>
<td align="center">160.8</td>
<td align="center">56.0</td>
<td align="center">7.5</td>
<td align="center">8.4</td>
<td align="center">13.5</td>
<td align="center">4.1</td>
<td align="center">9.5</td>
<td align="center">15.1</td>
<td align="center">3.7</td>
<td align="center">6.7</td>
<td align="center">16.2</td>
<td align="center">6.2</td>
<td align="center">2.3</td>
</tr>
<tr>
<td align="center">18:00</td>
<td align="center">200.5</td>
<td align="center">68.8</td>
<td align="center">2.3</td>
<td align="center">152.0</td>
<td align="center">53.0</td>
<td align="center">5.0</td>
<td align="center">8.2</td>
<td align="center">13.2</td>
<td align="center">3.3</td>
<td align="center">9.0</td>
<td align="center">14.5</td>
<td align="center">3.3</td>
<td align="center">4.5</td>
<td align="center">12.0</td>
<td align="center">3.5</td>
<td align="center">2.3</td>
</tr>
<tr>
<td rowspan="4" align="center">Aug. 6th</td>
<td align="center">9:00</td>
<td align="center">178.6</td>
<td align="center">62.8</td>
<td align="center">1.9</td>
<td align="center">135.1</td>
<td align="center">48.4</td>
<td align="center">4.8</td>
<td align="center">3.2</td>
<td align="center">8.7</td>
<td align="center">7.3</td>
<td align="center">4.3</td>
<td align="center">10.8</td>
<td align="center">1.2</td>
<td align="center">2.5</td>
<td align="center">12.1</td>
<td align="center">4.7</td>
<td align="center">2.2</td>
</tr>
<tr>
<td align="center">12:00</td>
<td align="center">198.8</td>
<td align="center">68.4</td>
<td align="center">7.6</td>
<td align="center">152.7</td>
<td align="center">53.2</td>
<td align="center">6.7</td>
<td align="center">8.0</td>
<td align="center">13.0</td>
<td align="center">6.9</td>
<td align="center">9.0</td>
<td align="center">14.5</td>
<td align="center">0.8</td>
<td align="center">5.5</td>
<td align="center">14.3</td>
<td align="center">7.8</td>
<td align="center">2.3</td>
</tr>
<tr>
<td align="center">15:00</td>
<td align="center">205.7</td>
<td align="center">71.0</td>
<td align="center">4.8</td>
<td align="center">158.5</td>
<td align="center">55.2</td>
<td align="center">6.4</td>
<td align="center">7.8</td>
<td align="center">12.7</td>
<td align="center">2.9</td>
<td align="center">8.8</td>
<td align="center">14.1</td>
<td align="center">4.5</td>
<td align="center">4.9</td>
<td align="center">12.6</td>
<td align="center">4.3</td>
<td align="center">2.4</td>
</tr>
<tr>
<td align="center">18:00</td>
<td align="center">201.0</td>
<td align="center">68.9</td>
<td align="center">3.3</td>
<td align="center">146.3</td>
<td align="center">51.7</td>
<td align="center">7.2</td>
<td align="center">7.8</td>
<td align="center">12.7</td>
<td align="center">1.7</td>
<td align="center">8.4</td>
<td align="center">13.8</td>
<td align="center">3.8</td>
<td align="center">5.2</td>
<td align="center">13.3</td>
<td align="center">8.2</td>
<td align="center">2.3</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Under different outdoor air conditions, the warehouse requires variable cooling capacity. As shown in <xref ref-type="fig" rid="F9">Figure 9A</xref>, the cooling demand is satisfied by subsystems A and B. Subsystems A meet almost all of the cooling capacity demand, whereas subsystems B adjust the ratio of latent to sensible loads undertaken by the system. As shown in <xref ref-type="fig" rid="F9">Figure 9B</xref>, subsystems B account for 20.8%&#x2013;25.6% of the total electrical power consumed under different outdoor air conditions. Moreover, <italic>COP</italic>
<sub>sys</sub> during the test period ranges from 2.2 to 2.4; the reasons for this narrow range of <italic>COP</italic>
<sub>sys</sub> values can be understood from the following two aspects. The <italic>COP</italic>
<sub>w</sub> is high at midnight because of good outdoor air conditions for the central cooling tower, which contributes to high <italic>COP</italic>
<sub>sys</sub>. However, the ratio of latent to sensible loads is low at midnight, indicating that a larger portion of the cooling capacity provided by subsystem A needs to be offset by the heating capacity from subsystem B, which is unfavorable for achieving a high <italic>COP</italic>
<sub>sys</sub>. The effects of these two factors counterbalance each other, resulting in the <italic>COP</italic>
<sub>sys</sub> remaining within a narrow range of 2.2&#x2013;2.4 during the test period.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>System performance during the test period: <bold>(A)</bold> cooling loads of subsystems A and B; <bold>(B)</bold> electrical power consumed by subsystems A and B.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g009.tif"/>
</fig>
<p>In summary, subsystems A meet almost all of the cooling capacity demand of the warehouse, whereas subsystems B adjust the ratio of latent to sensible loads undertaken by the system to the demand value. Furthermore, there are two types of heat&#x2013;cold offsets in the entire system, i.e., offset between subsystems A and B and offset within subsystem B. The <italic>COP</italic>
<sub>sys</sub> of the entire system is severely restricted by these two types of heat&#x2013;cold offsets.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Reason for system design</title>
<p>In the original system design phase, without enough on-site measurements as references, the proportion of sensible load to total load was overestimated. Thus, during initial use of the warehouse, there were only two subsystems A to control the ambient temperature and humidity. The ambient temperature must be restricted to below 20&#xb0;C, whereas the ambient relative humidity must be controlled to below 75%. However, when using only subsystems A, the ambient relative humidity exceeded 80% because of the limitation of condensing dehumidification. To correct the ratio of latent to sensible loads undertaken by subsystems A to the demand value, three subsystems B were installed additionally, through which the return air was dehumidified but heated by subsystems B.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Refined system</title>
<p>Avoiding the aforementioned two types of heat&#x2013;cold offsets is crucial for improving the system energy performance. Accordingly, a refined system was proposed, as shown in <xref ref-type="fig" rid="F10">Figure 10</xref>. The refined subsystem is a typical LDAC system in which the heat&#x2013;cold offsets can be avoided. The refined system is composed of four subsystems, as shown in <xref ref-type="fig" rid="F10">Figure 10A</xref>. These four subsystems have the same configurations, and the air handling processes in the subsystems are identical to each other. In addition, two more subsystems were installed for backup. In the original system, the entire system manages the return air with a total mass flow rate of 32.0&#xa0;kg/s. Thus, in the refined system, each subsystem manages the return air with a mass flow rate of 8.0&#xa0;kg/s.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Refined system: <bold>(A)</bold> configuration of the refined subsystem (1&#x23;, 2&#x23;, 3&#x23;, or 4&#x23;), and <bold>(B)</bold> air handling process under the refined subsystem.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g010.tif"/>
</fig>
<p>In the refined subsystem, the return air at <italic>A</italic>
<sub>in</sub> (with a flow rate of 8.0&#xa0;kg/s) is directly cooled and dehumidified by the DEH to the demand state <italic>A</italic>
<sub>out</sub>. With regard to the regeneration air (with a flow rate of 8.0&#xa0;kg/s), the outdoor air at <italic>R</italic>
<sub>in</sub> is used in the REG to absorb moisture from the desiccant solution and exhaust it to the outdoors. With regard to the desiccant solution, the solution in the DEH is first cooled by the EVA and sprayed onto the DEH to absorb moisture from the return air, which dilutes the solution. A part of this diluted solution is pumped to the REG side for regeneration. The solution at the bottom of the REG is heated by the CON and sprayed onto the REG to release moisture to the regeneration air. A part of the remaining solution after regeneration is pumped to the DEH side, and the entire solution is circulated. In addition, a solution&#x2013;solution heat exchanger (HX) is installed at the interstage pipes to recover heat between the diluted and concentrated solutions.</p>
</sec>
<sec id="s4-2">
<title>4.2 Performance comparison</title>
<sec id="s4-2-1">
<title>4.2.1 Basic condition</title>
<p>Under the basic condition, the operating parameters for the refined system are listed in <xref ref-type="table" rid="T4">Table 4</xref>. When the refined system undertakes the same sensible and latent loads as the original system, the simulation results under the refined system are as listed in <xref ref-type="table" rid="T5">Table 5</xref>. Moreover, <italic>P</italic>
<sub>fan</sub> and <italic>P</italic>
<sub>pump</sub> used here are estimated according to the method in <xref ref-type="sec" rid="s3-1">Section 3.1</xref>. Taking <italic>P</italic>
<sub>fan</sub>, for example, the air pressure drop in the original system was measured using the device specifications listed in <xref ref-type="table" rid="T1">Table 1</xref>. Under the basic condition, the return air pressure drop with subsystem B1 is 680&#xa0;Pa, whereas the regeneration air pressure drop with subsystem B2 is 220&#xa0;Pa, according to the test results. In addition, the return air pressure drop values with EVA 2&#x23; and CON 2&#x23; are 55&#xa0;Pa and 65&#xa0;Pa, respectively. Thus, it can be estimated that the return air pressure drop with refined subsystem is 560&#xa0;Pa and that the regeneration air pressure drop with the refined subsystem is 220&#xa0;Pa. Subsequently, <italic>P</italic>
<sub>fan</sub> can be estimated under the refined system.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Operating and device parameters of the refined subsystem (<italic>m</italic>
<sub>a</sub> &#x3d; <italic>m</italic>
<sub>r</sub> &#x3d; 8.0&#xa0;kg/s).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="4" align="center">Air</th>
<th colspan="2" align="center">Solution</th>
<th colspan="4" align="center">Device</th>
</tr>
<tr>
<th colspan="2" align="center">
<italic>A</italic>
<sub>in</sub>
</th>
<th colspan="2" align="center">
<italic>R</italic>
<sub>in</sub>
</th>
<th align="center">
<italic>m</italic>
<sub>s</sub>
</th>
<th align="center">
<italic>m</italic>
<sub>inter-stage</sub>
</th>
<th align="center">
<italic>NTU</italic>
<sub>deh/reg</sub>
</th>
<th align="center">
<italic>&#x3b5;</italic>
<sub>e/c</sub>
</th>
<th align="center">
<italic>&#x3b7;</italic>
<sub>hx</sub>
</th>
<th align="center">
<italic>&#x3b6;</italic>
<sub>hp</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>t</italic>
</td>
<td align="center">
<italic>&#x3c9;</italic>
</td>
<td align="center">
<italic>t</italic>
</td>
<td align="center">
<italic>&#x3c9;</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">(&#xb0;C)</td>
<td align="center">(g/kg)</td>
<td align="center">(&#xb0;C)</td>
<td align="center">(g/kg)</td>
<td align="center">(kg/s)</td>
<td align="center">(kg/s)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">19.1</td>
<td align="center">9.6</td>
<td align="center">34.7</td>
<td align="center">22.9</td>
<td align="center">8.0</td>
<td align="center">0.8</td>
<td align="center">2.0</td>
<td align="center">0.7</td>
<td align="center">0.5</td>
<td align="center">0.6</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>m</italic>
<sub>s</sub>: solution mass flow rate in the DEH/REG; <italic>m</italic>
<sub>inter-stage</sub>: solution mass flow rate in the interstage pipes.</p>
</fn>
<fn>
<p>
<italic>NTU</italic>
<sub>deh/reg</sub>: number of mass transfer units of the DEH/REG.</p>
</fn>
<fn>
<p>
<italic>&#x3b5;</italic>
<sub>e/c</sub>: effectiveness of the evaporator/condenser in the heat exchanger; <italic>&#x3b7;</italic>
<sub>hx</sub>: heat recovery effectiveness in the heat exchanger.</p>
</fn>
<fn>
<p>The values of <italic>&#x3b5;</italic>
<sub>e/c</sub> and <italic>&#x3b6;</italic>
<sub>hp</sub> are sourced from <xref ref-type="bibr" rid="B13">Liu et al. (2018)</xref>.</p>
</fn>
<fn>
<p>The value of <italic>&#x3b7;</italic>
<sub>hx</sub> is obtained from <xref ref-type="bibr" rid="B23">Yamaguchi et al. (2011)</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Simulation results of the refined subsystem under the basic condition (<italic>m</italic>
<sub>a</sub> &#x3d; 8.0&#xa0;kg/s, <italic>m</italic>
<sub>r</sub> &#x3d; 8.0&#xa0;kg/s).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th colspan="3" align="center">Parameters</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Air</td>
<td align="center">
<italic>A</italic>
<sub>in</sub>: 19.1&#xb0;C, 9.6&#xa0;g/kg</td>
<td colspan="2" align="center">
<italic>A</italic>
<sub>out</sub>: 13.3&#xb0;C, 7.2&#xa0;g/kg</td>
</tr>
<tr>
<td align="center">
<italic>R</italic>
<sub>in</sub>: 34.7&#xb0;C, 22.9&#xa0;g/kg</td>
<td colspan="2" align="center">
<italic>R</italic>
<sub>out</sub>: 35.8&#xb0;C, 28.8&#xa0;g/kg</td>
</tr>
<tr>
<td align="center">Desiccant solution</td>
<td align="center">
<italic>S</italic>
<sub>1</sub>: 11.2&#xb0;C, 32.9%<break/>
<italic>S</italic>
<sub>3</sub>: 38.0&#xb0;C, 33.4%</td>
<td colspan="2" align="center">
<italic>S</italic>
<sub>2</sub>: 15.1&#xb0;C, 32.8%<break/>
<italic>S</italic>
<sub>4</sub>: 33.0&#xb0;C, 33.6%</td>
</tr>
<tr>
<td align="center">Heat pump</td>
<td align="center">
<italic>t</italic>
<sub>e</sub> &#x3d; 8.0&#xb0;C</td>
<td colspan="2" align="center">
<italic>t</italic>
<sub>c</sub> &#x3d; 40.5&#xb0;C</td>
</tr>
<tr>
<td align="center">Electrical power</td>
<td align="center">
<italic>P</italic>
<sub>hp</sub> &#x3d; 19.6&#xa0;kW</td>
<td align="center">
<italic>P</italic>
<sub>fan</sub> &#x3d; 10.5&#xa0;kW</td>
<td align="center">
<italic>P</italic>
<sub>solution</sub> &#x3d; 1.8&#xa0;kW</td>
</tr>
<tr>
<td align="center">
<italic>COP</italic>
<sub>sys</sub>
</td>
<td colspan="3" align="center">3.0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The solution state is represented by the temperature and mass concentration.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Under the refined system, the two types of heat&#x2013;cold offsets can be avoided as shown in <xref ref-type="fig" rid="F11">Figure 11A</xref>. The original system has to provide a total cooling capacity of 472.2&#xa0;kW owing to the heat&#x2013;cold offset, whereas the refined system has to only provide a total capacity of 386&#xa0;kW to satisfy the warehouse demand. Because the required cooling capacity from the system is reduced, the corresponding electrical power consumption of the system is reduced, as shown in <xref ref-type="fig" rid="F11">Figure 11B</xref>. The electrical power consumed by the system is reduced from 166.5&#xa0;kW to 127.8&#xa0;kW. Consequently, the <italic>COP</italic>
<sub>sys</sub> is improved from 2.3 to 3.0 by the refined system under the basic condition (Figure 11C).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Performance comparisons between the original and refined systems: <bold>(A)</bold> heat&#x2013;cold offset, <bold>(B)</bold> required electrical power, and <bold>(C)</bold> <italic>COP</italic>
<sub>sys</sub>.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g011.tif"/>
</fig>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Variable conditions</title>
<p>The energy performances of the original and refined systems are compared under variable conditions. First, under the outdoor air conditions during the test period, <xref ref-type="fig" rid="F12">Figure 12</xref> illustrates the energy performance difference between the original and refined systems. As seen in <xref ref-type="fig" rid="F12">Figure 12A</xref>, <italic>COP</italic>
<sub>sys</sub> is improved from 2.2&#x2013;2.4 to 2.9&#x2013;3.1 by the refined system by avoiding the two types of heat&#x2013;cold offsets. The cooling season in the local region is from May to September. The electricity amounts consumed by the original and refined systems over the entire cooling season are shown in <xref ref-type="fig" rid="F12">Figure 12B</xref>. In each month during this season, an electricity savings of 17.1%&#x2013;22.1% can be achieved with the refined system. Over the entire cooling season, the electricity consumed by the refined system is 20.2% less than that consumed by the original system.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Performance comparisons under variable conditions: <bold>(A)</bold> <italic>COP</italic>
<sub>sys</sub> at different points during the test period, and <bold>(B)</bold> monthly electricity consumption over the entire cooling season.</p>
</caption>
<graphic xlink:href="fbuil-10-1468537-g012.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="conclusions" id="s5">
<title>5 Conclusions</title>
<p>In this study, measurements were obtained to assess the on-site performance of a hybrid LDAC system applied in a pharmaceutical warehouse. Owing to the blind use of the liquid desiccant technique, the energy performance of the system was poor. Subsequently, a refined system was proposed to improve the performance. The main conclusions of this study are as follows.<list list-type="simple">
<list-item>
<p>1) Under the original system, there are two types of considerable heat&#x2013;cold offsets that limit the energy performance of the system, i.e., offset between subsystems A and B as well as offset within subsystem B. Under the basic condition, only 81.8% of the total cooling capacity of the system can be achieved through the return air, while the remaining 18.2% is wasted by the considerable heat&#x2013;cold offset.</p>
</list-item>
<list-item>
<p>2) A refined system is proposed to improve the overall energy performance. By avoiding the two types of heat&#x2013;cold offsets, the <italic>COP</italic>
<sub>sys</sub> can be improved from 2.2&#x2013;2.4 to 2.9&#x2013;3.1 by the refined system. Moreover, over the entire cooling season, an electricity savings of 20.2% can be achieved with the refined system.</p>
</list-item>
<list-item>
<p>3) The demand ratio of the latent to sensible loads was wrongly estimated in the original system design phase, which resulted in an unreasonable system design. On-site measurements are therefore crucial for providing reference values for load forecasting and system design.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, and any further inquiries may be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>LH: writing&#x2013;original draft and writing&#x2013;review and editing. BG: conceptualization, methodology, and writing&#x2013;review and editing. MQ: project administration and writing&#x2013;review and editing. YL: investigation and writing&#x2013;review and editing. HY: visualization and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The authors declare that financial support was received for the research, authorship, and/or publication of this article. This work was supported by projects funded by the China Postdoctoral Science Foundation (No. 2022M722545) and Natural Science Basic Research Program of Shaanxi (No. 2023-JC-QN-0491).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>Author LH was employed by Beijing Tsinghua Tongheng Planning and Design Institute Co., Ltd.</p>
<p>Author MQ was employed by Beijing Tongheng Energy and Environment Science Research Institute Co.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations or those of the publisher, editors, and reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.</p>
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</person-group> (<year>2022</year>). <article-title>Liquid desiccant regeneration for advanced air conditioning: a comprehensive review on desiccant materials, regenerators, systems and improvement technologies</article-title>. <source>Appl. Energy</source> <volume>308</volume>, <fpage>118394</fpage>. <pub-id pub-id-type="doi">10.1016/j.apenergy.2021.118394</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yamaguchi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jeong</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Sarito</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Miyauchi</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Harada</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Hybrid liquid desiccant air-conditioning system: experiments and simulations</article-title>. <source>Appl. Therm. Eng.</source> <volume>31</volume>, <fpage>3741</fpage>&#x2013;<lpage>3747</lpage>. <pub-id pub-id-type="doi">10.1016/j.applthermaleng.2011.04.009</pub-id>
</citation>
</ref>
</ref-list>
<sec id="s11">
<title>Nomenclature</title>
<table-wrap id="udT1" position="float">
<table>
<tbody valign="top">
<tr>
<td align="left">
<bold>
<italic>COP</italic>
</bold>
</td>
<td align="left">Coefficient of performance (dimensionless)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>c</italic>
</bold>
<sub>
<bold>p,w</bold>
</sub>
</td>
<td align="left">Specific heat capacity of water (kJ/(kg&#xb7;K))</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>H</italic>
</bold>
</td>
<td align="left">Height of packing (m)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>h</italic>
</bold>
</td>
<td align="left">Enthalpy (kJ/kg)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>L</italic>
</bold>
</td>
<td align="left">Length of packing (m)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>m</italic>
</bold>
<sub>
<bold>a</bold>
</sub>
</td>
<td align="left">Mass flow rate of return air (kg/s)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>m</italic>
</bold>
<sub>
<bold>r</bold>
</sub>
</td>
<td align="left">Mass flow rate of regeneration air (kg/s)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>m</italic>
</bold>
<sub>
<bold>s</bold>
</sub>
</td>
<td align="left">Mass flow rate of the desiccant solution (kg/s)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>NTU</italic>
</bold>
</td>
<td align="left">Number of mass transfer units (dimensionless)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>Q</italic>
</bold>
<sub>
<bold>a</bold>
</sub>
</td>
<td align="left">Cooling capacity obtained through the return air (kW)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>Q</italic>
</bold>
<sub>
<bold>e</bold>
</sub>
</td>
<td align="left">Cooling capacity provided by the evaporator (kW)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>Q</italic>
</bold>
<sub>
<bold>c</bold>
</sub>
</td>
<td align="left">Condensing heating capacity (kW)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>Q</italic>
</bold>
<sub>
<bold>cooler</bold>
</sub>
</td>
<td align="left">Cooling capacity provided by the cooling coil (kW)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>P</italic>
</bold>
</td>
<td align="left">Electrical power (kW)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>t</italic>
</bold>
</td>
<td align="left">Temperature (&#xb0;C)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>X</italic>
</bold>
</td>
<td align="left">Mass concentration of the desiccant solution</td>
</tr>
<tr>
<td align="left">Greek symbols</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>
<italic>&#x3b4;</italic>
</bold>
</td>
<td align="left">Unbalance rate (dimensionless)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>&#x3b5;</italic>
</bold>
<sub>
<bold>e/c</bold>
</sub>
</td>
<td align="left">Effectiveness of the evaporator/condenser in the heat exchanger (dimensionless)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>&#x3b6;</italic>
</bold>
<sub>
<bold>hp</bold>
</sub>
</td>
<td align="left">Thermodynamic perfectness of the heat pump (dimensionless)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>&#x3b7;</italic>
</bold>
<sub>
<bold>hx</bold>
</sub>
</td>
<td align="left">Heat recovery effectiveness of the solution&#x2013;solution heat exchanger (dimensionless)</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>&#x3c9;</italic>
</bold>
</td>
<td align="left">Humidity ratio (g/kg)</td>
</tr>
<tr>
<td align="left">Subscripts</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>
<italic>a</italic>
</bold>
</td>
<td align="left">Return air</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>deh</italic>
</bold>
</td>
<td align="left">Liquid dehumidifier</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>hp</italic>
</bold>
</td>
<td align="left">Heat pump</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>ideal</italic>
</bold>
</td>
<td align="left">Reverse Carnot cycle</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>in</italic>
</bold>
</td>
<td align="left">Inlet</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>out</italic>
</bold>
</td>
<td align="left">Outlet</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>r</italic>
</bold>
</td>
<td align="left">Regeneration air</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>reg</italic>
</bold>
</td>
<td align="left">Liquid regenerator</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>s</italic>
</bold>
</td>
<td align="left">Desiccant solution</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>sys</italic>
</bold>
</td>
<td align="left">System</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</back>
</article>