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<front>
<journal-meta>
<journal-id journal-id-type="pmc">IASC</journal-id>
<journal-id journal-id-type="nlm-ta">IASC</journal-id>
<journal-id journal-id-type="publisher-id">IASC</journal-id>
<journal-title-group>
<journal-title>Intelligent Automation &#x0026; Soft Computing</journal-title>
</journal-title-group>
<issn pub-type="epub">2326-005X</issn>
<issn pub-type="ppub">1079-8587</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">32645</article-id>
<article-id pub-id-type="doi">10.32604/iasc.2023.032645</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Adaptive Nonlinear Sliding Mode Control for DC Power Distribution in Commercial Buildings</article-title><alt-title alt-title-type="left-running-head">Adaptive Nonlinear Sliding Mode Control for DC Power Distribution in Commercial Buildings</alt-title><alt-title alt-title-type="right-running-head">Adaptive Nonlinear Sliding Mode Control for DC Power Distribution in Commercial Buildings</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Muthamil Arasi</surname><given-names>R.</given-names></name>
<xref ref-type="aff" rid="aff-1">1</xref><email>rmuthamilarasitpt@gmail.com</email>
</contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western"><surname>Padma</surname><given-names>S.</given-names></name>
<xref ref-type="aff" rid="aff-2">2</xref>
</contrib>
<aff id="aff-1"><label>1</label><institution>Thiagarajar Polytechnic College</institution>, <addr-line>Salem, Tamilnadu</addr-line>, <country>India</country></aff>
<aff id="aff-2"><label>2</label><institution>Sona College of Technology</institution>, <addr-line>Salem, Tamilnadu</addr-line>, <country>India</country></aff>
</contrib-group><author-notes><corresp id="cor1"><label>&#x002A;</label>Corresponding Author: R. Muthamil Arasi. Email: <email>tptcmuthamizh@gmail.com</email></corresp></author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2022-08-24"><day>24</day>
<month>08</month>
<year>2022</year></pub-date>
<volume>36</volume>
<issue>1</issue>
<fpage>997</fpage>
<lpage>1012</lpage>
<history>
<date date-type="received"><day>24</day><month>5</month><year>2022</year></date>
<date date-type="accepted"><day>29</day><month>6</month><year>2022</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2023 Muthamil Arasi and Padma</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Muthamil Arasi and Padma</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_IASC_32645.pdf"></self-uri>
<abstract>
<p>The developing populace and industrialization power demand prompted the requirement for power generation from elective sources. The desire for this pursuit is solid due to the ever-present common assets of petroleum derivatives and their predominant ecological issues. It is generally acknowledged that sustainable power sources are one of the best answers for the energy emergency. Among these, Photovoltaic (PV) sources have many benefits to bestow a very promising future. If integrated into the existing power distribution infrastructure, the solar source will be more successful, requiring efficient Direct Current (DC)-Alternating Current (AC) conversion. This paper mainly aims to improve controllers&#x2019; performance between AC/DC Energy sources and the DC loads using the Adaptive Nonlinear Sliding Mode (ANSM) control method. The proposed ANSM method efficiently controls power quality issues, such as transient response, power flow reliability and Total Harmonics Distortion (THD). The proposed controller is applied for both AC/DC and DC/DC converters and the performance of the proposed controller is validated through simulation checking the above parameters. The simulation results confirm ANSM configuration is more reliable and efficient than the existing fuzzy and sliding mode control methods.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Photovoltaic</kwd>
<kwd>AC-DC converter</kwd>
<kwd>DC-DC converter</kwd>
<kwd>adaptive nonlinear sliding mode</kwd>
<kwd>transient response</kwd>
<kwd>total harmonics distortion</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>Integrating Renewable Energy Source (RES) with existing power systems are proposed to have better performance and efficiency in handling multiple energy sources with ease of feasible implementation and conservation. Solar panels and wind turbines are examples of renewable energy systems. The concept of using Direct Current (DC) in a building power distribution system arose from the need to take advantage of benefits such as rapid development of Photovoltaic (PV) system installation. R. Mohd et al. 2019 [<xref ref-type="bibr" rid="ref-1">1</xref>], the growing use of batteries in commercial buildings. Rosales-Asensio et al. 2019 [<xref ref-type="bibr" rid="ref-2">2</xref>] and the growing nature of DC loads in the market, such as consumer electronics, gadgets, motor drives, and solid-state lighting systems using Light Emitting Diodes (LEDs). Sundareswaran et al. 2019 [<xref ref-type="bibr" rid="ref-3">3</xref>]. Because the DC power distribution system in Buildings. Lai et al. 2019 [<xref ref-type="bibr" rid="ref-4">4</xref>] avoids converting solar DC electricity to AC and then back to DC to provide DC loads, energy transfer losses are greatly reduced.</p>
<p>In today&#x2019;s environment, commercial buildings utilize 61 percent of the country&#x2019;s electrical energy Vishwanath et al. 2019 [<xref ref-type="bibr" rid="ref-5">5</xref>], with lighting systems the most common demand. The current power system in business buildings, on the other hand, relies on AC and DC energy from sustainable power sources, which must be converted from DC to AC, then AC to DC to power the DC loads [<xref ref-type="bibr" rid="ref-6">6</xref>,<xref ref-type="bibr" rid="ref-7">7</xref>]. The power transfer efficiency is substantially enhanced when DC power is delivered directly to DC loads through DC Bus. Therefore developing DC distribution systems to adapt to sustainable renewable power sources and DC loads is necessary Kitson et al. 2019 [<xref ref-type="bibr" rid="ref-8">8</xref>]. <xref ref-type="table" rid="table-1">Tab. 1</xref> depicts the many types of DC loads found in commercial buildings.</p>
<table-wrap id="table-1"><label>Table 1</label>
<caption>
<title>Various DC loads in commercial buildings</title></caption>
<table><colgroup><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">S. No</th>
<th align="left">Different types of DC loads</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">1<break/>2<break/>3</td>
<td align="left">Computer (48&#x2005;V with 200 W)<break/>Automatic gate opening systems (12&#x2005;V with 100 W)<break/>Lighting System<break/>(Volt 12&#x2005;V with 3 W, 5 W, 7 W, 9 W, 15 W, 40 W, 100 W, 500 W and 1000 W)</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">Washer and Dryers (24&#x2005;V with 750 W, 1000 W and 1500 W)</td>
</tr>
<tr>
<td align="left">5<break/>6</td>
<td align="left">Water purifier (36&#x2005;V with 20 W, 50 W and 100 W)<break/>Elevator (75&#x2005;V with 2000 W)<break/>Television (12&#x2005;V with 10 W (24 inch), 20 W(32 inch) and 50 W (50 inch) Video audio monitors (12&#x2005;V with 40 W, 100 W and 250 W)</td>
</tr>
<tr>
<td align="left">8<break/>9<break/>10<break/>11</td>
<td align="left">Air cooler (12&#x2005;V with 36 W, 48 W, 75 W, 125 W and 200 W)<break/>Ceiling fans (12&#x2005;V with 35 W)<break/>Mixer grinder (12&#x2005;V with 600 W)<break/>Water heater (24&#x2005;V with 300 W, 400 W and 500 W)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p><xref ref-type="fig" rid="fig-1">Fig. 1</xref> shows a model of a 48&#x2005;V DC solar hybrid distribution system for Indian rural banks. This paper offers a DC distribution system for commercial buildings that includes both AC and DC sources. Pulse Width Modulation (PWM) current and voltage mode control, Proportional Integrated (PI), and Proportional Integrated Derivative (PID) control [<xref ref-type="bibr" rid="ref-9">9</xref>&#x2013;<xref ref-type="bibr" rid="ref-15">15</xref>] are the most used control techniques for AC to DC and DC to DC converters. Under fluctuating loads and power system conditions, these traditional control techniques do not function well. Under heavy load and power system fluctuation circumstances, the current Nonlinear Sliding Mode Method Rehman, Abdul Ashraf et al. 2018 [<xref ref-type="bibr" rid="ref-16">16</xref>&#x2013;<xref ref-type="bibr" rid="ref-19">19</xref>] performs adequately, but it does not account for transitory conditions. Therefore, in this work, an Adaptive Nonlinear Sliding Mode method is introduced to accommodate transient and steady-state conditions and performance parameters like peak time, peak overshoot time, recovery time, steady-state error, and THD verified.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>48&#x2005;V DC solar hybrid distribution system for Indian rural banks</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-1.png"/>
</fig>
</sec>
<sec id="s2">
<label>2</label>
<title>Proposed Converter Design and Analysis</title>
<p>The functional working diagram of the proposed system is shown in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>. In this work, Adaptive Nonlinear Sliding Mode (ANSM) Controller is used to control the switching operation of the converters. The power converters connected to the sources and the common DC bus will be controlled under an ANSM. The proposed ANSM control technique generates continuous 380&#x2005;V DC. Hern&#x00E1;ndez et al. 2018 [<xref ref-type="bibr" rid="ref-20">20</xref>] based on the PV panel and AC supply reference signals. The numerical simulation of this model ensures the accurate operation of the supervisory controller and its algorithm functions in different operating conditions [<xref ref-type="bibr" rid="ref-21">21</xref>&#x2013;<xref ref-type="bibr" rid="ref-23">23</xref>].</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>Block diagram of proposed system</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-2.png"/>
</fig>
<sec id="s2_1">
<label>2.1</label>
<title>Operation of DC-DC Boost Converter Circuit</title>
<p><xref ref-type="fig" rid="fig-3">Fig. 3</xref> depicts the DC-DC boost converter&#x2019;s circuit diagram. This paper proposes a simpler analysis of a new modulation method for converting boost converters called the ANSM Modulation Scheme. It features two different width trains to mitigate high pulse distortions and reduce power loss in power electronic systems. Single switched PWM DC-DC Boost Converters were employed in the suggested modulation method.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Circuit diagram of boost converter</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-3.png"/>
</fig>
<p>The modulation technique created by this type minimizes high-order synchronization while the narrow region of the wide lentil segment reduces low-order synchronization. Zero number counts the signal and is in ascending and descending stairs. The ascending region is the inverse of the descending region. The amplitude of the voltage signal is equal to the height of the modulating signal.</p>
<sec id="s2_1_1">
<label>2.1.1</label>
<title>Modes of Operation for Proposed DC-DC Converter</title>
<p>The function of the DC-DC converter is to be controlled and kept constant under steady-state against variations in input voltage and load. The proposed SMC function is designed to adjust the time-varying proportional area of the step/pulse according to the control of the Adaptive Nonlinear sliding mode.<disp-formula id="eqn-1"><label>(1)</label>
<mml:math id="mml-eqn-1" display="block"><mml:msub><mml:mi>R</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">&#x221E;</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:math>
</disp-formula>where,</p>
<p>R<sub>s</sub> &#x003D; Sliding space; D<sub>&#x221E;</sub> &#x003D; Reference Output Voltage; A<sub>o</sub> &#x003D; Obtained output voltage; X<sub>1</sub>&#x2009;&#x003D;&#x2009;Positive Switching interval</p>
<p>If <inline-formula id="ieqn-1">
<mml:math id="mml-ieqn-1"><mml:msub><mml:mi>X</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
</inline-formula> &#x003E; 0 is the parameter with ANSM time varies according to the constant or change interval. It is properly selected, and the sliding coefficient is modeled to meet the required level of stability. K1 (t) is considered the sequence in which this control system occurs, whose product is zero at any given time. Thus the differential sliding function <xref ref-type="disp-formula" rid="eqn-2">(2)</xref> is expressed.<disp-formula id="eqn-2"><label>(2)</label>
<mml:math id="mml-eqn-2" display="block"><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo fence="false" stretchy="false">|</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:math>
</disp-formula>where: Q<sub>s</sub> &#x003D; trending path<disp-formula id="eqn-3"><label>(3)</label>
<mml:math id="mml-eqn-3" display="block"><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>i</mml:mi><mml:mi>L</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<p>Then the corresponding trending law is defined by<disp-formula id="eqn-4"><label>(4)</label>
<mml:math id="mml-eqn-4" display="block"><mml:msub><mml:mi>R</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">&#x221E;</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:math>
</disp-formula></p>
<p>Based on the output track system, the transformation function of the nonlinear sliding mode is computed. When the difference between the reference and actual output voltages is zero, <xref ref-type="disp-formula" rid="eqn-6">Eq. (6)</xref> becomes:<disp-formula id="eqn-5"><label>(5)</label>
<mml:math id="mml-eqn-5" display="block"><mml:mi>d</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">&#x221E;</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<p>The values of the load barrier can be seen well in itself when determining the independent and sliding coefficients of the controller inductor. Accordingly, the converter operates in two different modes-Continuous Current Mode (CCM&#x2019;s) and Discontinuous Current Mode (DCM).</p>
</sec>
<sec id="s2_1_2">
<label>2.1.2</label>
<title>Continuous Current Mode</title>
<p>As shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>, when the duty cycle is such that the inductor current flow is continuous during the entire switching period in both charging as well as discharging timings and the current does not reach zero, it is CCM operation In <xref ref-type="fig" rid="fig-4">Fig. 4</xref>, D1TS and D2TS are the transition cycles, D1 is the ratio of duty cycle and D2 y&#x2009;&#x003D;&#x2009;1-D.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Inductor current response-CCM operation</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-4.png"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>, when the duty cycle is such that the inductor current flow is continuous during the entire switching period in both charging as well as discharging timings and the current does cross zero to swing between positive and negative, it is Forced CCM (FCCM) operation</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Inductor current-FCCM</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-5.png"/>
</fig>
<p>The operation of the boost converter CCM, the signal, output voltage fluctuation, diode current, and power inductor current are illustrated in <xref ref-type="fig" rid="fig-6">Fig. 6</xref>.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>VI Characteristics with time in CCM</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-6.png"/>
</fig>
</sec>
<sec id="s2_1_3">
<label>2.1.3</label>
<title>Discontinuous Current Mode</title>
<p>If the duty cycle value is selected, the discharging is completed before the end of one time period Ts. The inductor current will reach zero for a small period D3Ts, as shown in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Inductor current response-DCM operation</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-7.png"/>
</fig>
<p>The operation of DCM is consists of three stages. Here D<sub>1</sub> is the duty cycle, D<sub>2</sub> &#x003D; (1-(D<sub>1</sub>-D<sub>3</sub>) and D<sub>3</sub> &#x003D; (1-(D<sub>1</sub>-D<sub>2</sub>). During the third interval-D3TS, the current is Zero. The DCM standardized output voltage has no linear relationship with the input voltage as of the CCM. The signal, output voltage variation, diode current and current inductor current in the DCM function of the boost converter is depicted in <xref ref-type="fig" rid="fig-8">Fig. 8</xref>.</p>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>IV characteristics with time in DCM</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-8.png"/>
</fig>
</sec>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Operation of AC-DC Converter</title>
<p>This area depicts the activity of the proposed single-stage AC to DC converter. <xref ref-type="fig" rid="fig-9">Fig. 9</xref> shows the proposed block chart for AC-DC converter with an Adaptive Nonlinear sliding Mode Control strategy. The ANSM control strategy gives the ideal outcomes against different boundaries, such as voltage adjustment, unity power factor, and decreasing switching losses.</p>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>AC-DC Converter-block diagram</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-9.png"/>
</fig>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>Buck-Boost Converter Circuit</title>
<p>The proposed ANSM-based buck-boost converter is shown in <xref ref-type="fig" rid="fig-10">Fig. 10</xref>, suitable for both step-up and step-down applications. This work obtains step up and step-down output voltage characteristics through a suitable transition scheme by switching power semiconductor switch.</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>Circuit diagram of buck-boost converter</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-10.png"/>
</fig>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>Modes of Operation</title>
<p>The Buck-Boost Converter operates in three operating modes and each having sub-modes. <italic>Charging mode (mode 1)</italic></p>
<p>The switching device MOSFET is in charging mode, diode D is in reverse bias, and supply voltage appears across the inductor. As illustrated in <xref ref-type="fig" rid="fig-11">Fig. 11</xref>, the inductor current should climb towards IL and follow a return path to the AC input side. The charge stored in the capacitor C in the previous Period also drives the inductor through the diode. Green lines in <xref ref-type="fig" rid="fig-11">Fig. 11</xref> indicate current paths in the circuits in this mode.</p>
<fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>Mode-1 MOSFET-ON and diode DOFF</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-11.png"/>
</fig>
<p><italic>Discharging mode (mode 2)</italic></p>
<p>The circuit diagram of Mode 2 is shown in <xref ref-type="fig" rid="fig-12">Fig. 12</xref>. In this mode, the swathing device MOSFET is there in OFF state, Diode D is forward bias, and the output voltage IL drops across inductor IL. Attempting to leave its post passing through a head diode D in anticipation of the voltage load of the inductor changes its peak and burns and charges the capacitor as the requirements remain.</p>
<fig id="fig-12">
<label>Figure 12</label>
<caption>
<title>Mode-2 MOSFET-OFF and diode D-ON</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-12.png"/>
</fig>
<p><italic>Mode 3 (Off Mode)</italic></p>
<p>The circuit diagram of mode3 is shown in <xref ref-type="fig" rid="fig-13">Fig. 13</xref>. The switching device MOSFET is in the OFF state in this mode. The inductor current IL falls to zero, and the reversing bias diode (D) is activated. The operation of this model continued until the MOSFET turned ON.</p>
<fig id="fig-13">
<label>Figure 13</label>
<caption>
<title>Mode-3 MOSFET is OFF, and diode DOFF</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-13.png"/>
</fig>
</sec>
<sec id="s2_2_3">
<label>2.2.3</label>
<title>Inductor Current and Voltage Response During One Switching Cycle</title>
<p><xref ref-type="fig" rid="fig-14">Fig. 14</xref> depicts the voltage and current responses in both CCM and DCM during a single switching cycle.</p>
<fig id="fig-14">
<label>Figure 14</label>
<caption>
<title>VI characteristics of voltage and current response</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-14.png"/>
</fig>
</sec>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Optimization and Power Management Analysis of Converters Using Adaptive Nonlinear Sliding Mode Control Strategy</title>
<p>Power management is the main requirement of a power converter system. The strategy of the circuit to handle both source-side imbalances and load-side variations is adaptively optimized in the controller and executed to stabilize the overall system performance. This work proposes optimal control in an adaptive nonlinear sliding control approach involving individual parameter control arising due to nonlinearities. The new results depend on the traditional hypothesis of ideal control that permits the ongoing outcomes to unravel the framework issues. All the more explicitly, ANSM is utilized to discover arrangements that are good for compelling force the board with the unimportant loss of intensity.</p>
<p><italic>ANSM-Algorithm Steps</italic></p>
<p><bold>Step1:</bold> Size of the populace (s) and repetitions (j) are initialized.</p>
<p><bold>Step2:</bold> Select samples from general population, where j&#x2009;&#x003D;&#x2009;1, 2, 3&#x2026;.for different loads. Set the boundaries for the maximum number of repetitions.</p>
<p><bold>Step3:</bold> Specify the ideal limit with the ultimate objective that assesses different loads with voltage modifications.</p>
<p><bold>Step4:</bold> Compute the boundaries by considering the three facts (i) different load conditions ii) Input power factor. iii) Switching frequency and duty cycle of converters.</p>
<p><bold>Step 5:</bold> Calculate the testing periods Ti &#x002B; 1 based on the quality requirement</p>
<p><bold>Step6:</bold> Based on the response of testing results, the error value is computed<disp-formula id="eqn-6"><label>(6)</label>
<mml:math id="mml-eqn-6" display="block"><mml:mi mathvariant="normal">&#x0394;</mml:mi><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mi>V</mml:mi><mml:mi>o</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>e</mml:mi><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /></mml:math>
</disp-formula></p>
<p><bold>Step 7:</bold> From the error value, the load&#x2019;s error rate is adjusted<disp-formula id="eqn-7"><label>(7)</label>
<mml:math id="mml-eqn-7" display="block"><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mi>L</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">&#x0394;</mml:mi><mml:mspace width="thickmathspace" /></mml:math>
</disp-formula></p>
<p><bold>Step8:</bold> If the state of the movement of the issue isn&#x2019;t fulfilled, go to step3.</p>
<p><bold>Step9:</bold> Upgrade the new adjustments of the individual loads in the general population freely.</p>
<p><bold>Step10</bold>: If the error value is high, go to step3 and repeat the process</p>
<p><bold>Step11:</bold> If the end outcome is met, fix the possible ideal plan in the request space.</p>
<p>The algorithm is developed for the ANSM control of the proposed DC-DC and AC-DC converters to manage the PWM signals of the switching devices of the converters. The following parameters are utilized to assess the performance of (i) Transient response in terms of Peak time, Peak overshoot and steady-state error, (ii) Total Harmonic Distortion (THD) and (iii) Overall System Efficiency.</p>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Simulation Results and Discussion</title>
<p>The Proposed solar-based DC distribution system is implemented in the Simulink model and simulated in the MATLAB software. Two primary blocks make up the proposed simulation system: AC-DC converter and DC-DC converter. The DC load has a capacity of 2000 W and operates at 12, 24, and 48&#x2005;V. Here we&#x2019;ll talk about the simulation circuit and the findings we got.</p>
<sec id="s3_1">
<label>3.1</label>
<title>Performance Analysis of Solar DC-DC Converter</title>
<p>Below are the simulation results and performance analysis of a DC-DC converter with a solar source. The suggested solar-based DC-DC converter&#x2019;s Simulink model is illustrated in <xref ref-type="fig" rid="fig-15">Fig. 15</xref>, and the simulation parameters are provided in <xref ref-type="table" rid="table-1">Tab. 1</xref>. In this work, the ANSM strategy generates the PWM and maintains the constant DC voltage.</p>
<fig id="fig-15">
<label>Figure 15</label>
<caption>
<title>Simulink model solar with DC-DC converter</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-15.png"/>
</fig>
<p><xref ref-type="fig" rid="fig-16">Fig. 16</xref> shows the DC-DC Converter&#x2019;s input voltage from a solar source, with a DC input voltage of 200&#x2005;V. The Voltage and current response of the switching device MOSFET is shown in <xref ref-type="fig" rid="fig-16">Figs. 16b</xref> and <xref ref-type="fig" rid="fig-16">16c</xref>. respectively. The DC-DC Converter voltage response across the DC bus from the DC-DC converter is shown in <xref ref-type="fig" rid="fig-16">Fig. 16d</xref>. The load voltage response and current response of the proposed system for a 48&#x2005;V Permanent Magnet DC (PMDC) motor is shown in <xref ref-type="fig" rid="fig-16">Figs. 16e</xref> and <xref ref-type="fig" rid="fig-16">16f</xref>.</p>
<fig id="fig-16">
<label>Figure 16</label>
<caption>
<title><bold>(a)</bold> An Input voltage from solar source (b). The voltage response of MOSFET (c) Current response of MOSFET (d). DC-DC converter voltage (e) DC-DC Converter with load voltage (f). DC-DC converter with load current</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-16.png"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Performance Analysis of AC-DC Converter</title>
<p>This section discusses the simulation results and performance analyses of the AC-DC converter. The suggested solar-based AC-DC converter&#x2019;s Simulink model is illustrated in <xref ref-type="fig" rid="fig-17">Fig. 17</xref>, and the simulation parameters are provided in the <xref ref-type="table" rid="table-2">Tabs. 2</xref> and <xref ref-type="table" rid="table-3">3</xref>. The ANSM method is utilized to produce the PWM and keep the DC voltage constant in this study.</p>
<fig id="fig-17">
<label>Figure 17</label>
<caption>
<title>Simulink model of proposed AC-DC converter</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-17.png"/>
</fig><table-wrap id="table-2"><label>Table 2</label>
<caption>
<title>Simulation parameters of DC-DC converter with solar source</title></caption>
<table><colgroup><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Software tool</th>
<th align="left">MATLAB 2016a</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Renewable power generation source</td>
<td align="left">Solar PV Array</td>
</tr>
<tr>
<td align="left">Total capacity</td>
<td align="left">20 kWp</td>
</tr>
<tr>
<td align="left">Indifference time</td>
<td align="left">105&#x2013;450 s</td>
</tr>
<tr>
<td align="left">Startup power</td>
<td align="left">40 W</td>
</tr>
<tr>
<td align="left">Nominal voltage</td>
<td align="left">635 Vdc</td>
</tr>
<tr>
<td align="left">Short circuit current ISC (A)</td>
<td align="left">24 A</td>
</tr>
<tr>
<td align="left">Power conditioning unit parameters</td>
<td align="left"/>
</tr>
<tr>
<td align="left">DC-DC Converter</td>
<td align="left">380&#x2005;V</td>
</tr>
<tr>
<td align="left">Rated voltage</td>
<td align="left">211 V</td>
</tr>
<tr>
<td align="left">Resistance</td>
<td align="left">0.02 Ohm</td>
</tr>
<tr>
<td align="left">Inductance</td>
<td align="left">10 <inline-formula id="ieqn-2">
<mml:math id="mml-ieqn-2"><mml:mi>&#x03BC;</mml:mi><mml:mi>h</mml:mi></mml:math>
</inline-formula></td>
</tr>
<tr>
<td align="left">Capacitance</td>
<td align="left">200 <inline-formula id="ieqn-3">
<mml:math id="mml-ieqn-3"><mml:mi>&#x03BC;</mml:mi><mml:mi>f</mml:mi></mml:math>
</inline-formula></td>
</tr>
</tbody>
</table>
</table-wrap><table-wrap id="table-3"><label>Table 3</label>
<caption>
<title>Simulation Parameters of AC-DC converter with Utility Source</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Parameters</th>
<th align="left">AC source</th>
<th align="left">Vin (RMS)</th>
<th align="left">DC Bus Volt</th>
<th align="left">Maximum load</th>
<th align="left">Switching frequency</th>
<th align="left">Input power factor</th>
<th align="left">Inductor</th>
<th align="left">capacitor</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Values</td>
<td align="left">20 kVA</td>
<td align="left">230 &#x00B1;&#x2009;10&#x0025; V</td>
<td align="left">380&#x2005;V DC</td>
<td align="left">2000 W</td>
<td align="left">5&#x2005;kHz</td>
<td align="left">0.9715</td>
<td align="left">100e-4 H</td>
<td align="left">400e-8 Farad</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The input voltage and current of the AC-DC Converter are shown in <xref ref-type="fig" rid="fig-18">Fig. 18a</xref> with an AC input voltage of 230&#x2005;V. The Voltage and current response of the switching device MOSFET is shown in <xref ref-type="fig" rid="fig-18">Figs. 18b</xref> and <xref ref-type="fig" rid="fig-18">18c</xref>. respectively. The inductor current response is shown in <xref ref-type="fig" rid="fig-18">Fig. 18d</xref>. The AC-DC Converter voltage across the DC bus from the is shown in <xref ref-type="fig" rid="fig-18">Fig. 18e</xref>. The proposed system&#x2019;s load voltage response and current response for a 48&#x2005;V PMDC motor are shown in <xref ref-type="fig" rid="fig-18">Figs. 18f</xref> and <xref ref-type="fig" rid="fig-18">18g</xref>.</p>
<fig id="fig-18">
<label>Figure 18</label>
<caption>
<title>(a) An AC source voltage and source current (b) Voltage response of MOSFET (c) Current response of MOSFET (d) Inductor current response (e) AC-DC Converter voltage (f) Load voltage of AC-DC converter (g) Load current of AC-DC converter</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-18.png"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Analysis of Total Harmonic Distortion</title>
<p>The THD analysis of the proposed converter is shown in <xref ref-type="fig" rid="fig-19">Fig. 19</xref>. The proposed ANSM obtain the THD value of 3.31&#x0025; only.</p>
<fig id="fig-19">
<label>Figure 19</label>
<caption>
<title>THD analysis for proposed system</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-19.png"/>
</fig>
<p>The performance analysis of control system parameters is discussed in <xref ref-type="table" rid="table-4">Tab. 4</xref> and <xref ref-type="fig" rid="fig-20">Fig. 20</xref>. This comparison confirms that the proposed ANSM method achieves the best results, as compared with conventional methods.</p>
<table-wrap id="table-4"><label>Table 4</label>
<caption>
<title>Performance analysis of Control system parameters</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" colspan="2">Methods</th>
<th align="left">Peak time (sec)</th>
<th align="left">Peak overshoot Time (sec)</th>
<th align="left">Recovery time (sec)</th>
<th align="left">Steady state error (&#x0025;)</th>
<th align="left">THD (&#x0025;)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Fuzzy logic</td>
<td align="left"><italic>DC-DC</italic></td>
<td align="left">0.9418</td>
<td align="left">1.524</td>
<td align="left">0.67</td>
<td align="left">11</td>
<td align="left">13.7</td>
</tr>
<tr>
<td align="left">Sliding mode</td>
<td align="left"><italic>DC-DC</italic></td>
<td align="left">0.6012</td>
<td align="left">1.147</td>
<td align="left">0.57</td>
<td align="left">8</td>
<td align="left">8.23</td>
</tr>
<tr>
<td align="left" rowspan="2">ANSM</td>
<td align="left"><italic>AC-DC</italic></td>
<td align="left">0.122</td>
<td align="left">0.152</td>
<td align="left">0.21</td>
<td align="left">6</td>
<td align="left">3.3</td>
</tr>
<tr>
<td align="left"><italic>DC-DC</italic></td>
<td align="left">0.131</td>
<td align="left">0.124</td>
<td align="left">0.19</td>
<td align="left">4</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
</table-wrap><fig id="fig-20">
<label>Figure 20</label>
<caption>
<title>Performance analysis</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="IASC_32645-fig-20.png"/>
</fig>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Conclusion</title>
<p>This work proposes an Adaptive Nonlinear Sliding Mode method of control that can drive the DC loads in commercial buildings from both AC and DC sources. The objective is to maintain constant DC bus voltage considering different operating conditions. The proposed system avails maximum utilization of PV sources. The DC bus voltage levels are monitored to coordinate the system&#x2019;s sources and storage and regulate the switching device under various operating situations. The suggested control techniques for integrating PV sources, utility sources, and energy storage in commercial buildings will be validated using system simulations. Compared with the existing system, the proposed method achieves the best results. For example, peak time is 012, peak overshoot time is 015 sec, recover time is 0.20 sec, the steady-state error is 6&#x0025; and THD is 3.31&#x0025;.In the Future, introduce deep learning methods to improve the power quality issues for solar-based commercial building application systems. The simulation results show that the suggested source design is more dependable and efficient than the current source configuration. Compared with the existing system, the proposed system achieves better results. For example, peak time is 0.12 sec, peak overshoot time is 0.15 sec, recovery time is 0.20 sec, the steady-state error is 6&#x0025; and THD is 3.31&#x0025;. Future neural networks with optimization methods will be involved to improve the power quality issues of the DC Distribution in commercial buildings.</p>
</sec>
</body>
<back><fn-group>
<fn fn-type="other">
<p><bold>Funding Statement:</bold> The authors received no specific funding for this study.</p>
</fn>
<fn fn-type="conflict">
<p><bold>Conflicts of Interest:</bold> The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</fn>
</fn-group>
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