<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    epe
   </journal-id>
   <journal-title-group>
    <journal-title>
     Energy and Power Engineering
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    1949-243X
   </issn>
   <issn publication-format="print">
    1947-3818
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/epe.2024.1610017
   </article-id>
   <article-id pub-id-type="publisher-id">
    epe-136709
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Engineering
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Stability Study of Low Voltage Electrical Distribution Network: Audit and Improvement of DJEGBE Mini Solar Photovoltaic Power Plant in the Commune of OUESSE (Benin)
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Bernard N.
      </surname>
      <given-names>
       Tokpohozin
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref> 
     <xref ref-type="aff" rid="aff3"> 
      <sup>3</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Sibiath
      </surname>
      <given-names>
       Osséni
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff3"> 
      <sup>3</sup>
     </xref> 
     <xref ref-type="aff" rid="aff4"> 
      <sup>4</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Jean-Louis
      </surname>
      <given-names>
       Fannou
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff3"> 
      <sup>3</sup>
     </xref> 
     <xref ref-type="aff" rid="aff4"> 
      <sup>4</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Vincent
      </surname>
      <given-names>
       Adigbé
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff4"> 
      <sup>4</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Christian D.
      </surname>
      <given-names>
       Akowanou
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref> 
     <xref ref-type="aff" rid="aff3"> 
      <sup>3</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aNational Higher Institute of Preparatory Classes for Engineering Studies (INSPEI), National University of Sciences, Technologies, Engineering and Mathematics (UNSTIM), Abomey, Republic of Benin
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aInstitute of Mathematics and Physical Sciences (IMSP), University of Abomey-Calavi (UAC), Porto-Novo, Republic of Benin
    </addr-line> 
   </aff> 
   <aff id="aff3">
    <addr-line>
     aLaboratory of Sciences, Engineering and Mathematics (LSIMA), National University of Sciences, Technologies, Engineering and Mathematics (UNSTIM), Abomey, Republic of Benin
    </addr-line> 
   </aff> 
   <aff id="aff4">
    <addr-line>
     aNational Higher School of Energy Engineering and Processes (ENSGEP), National University of Sciences, Technologies, Engineering and Mathematics (UNSTIM), Abomey, Republic of Benin
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     10
    </day> 
    <month>
     10
    </month>
    <year>
     2024
    </year>
   </pub-date> 
   <volume>
    16
   </volume> 
   <issue>
    10
   </issue>
   <fpage>
    345
   </fpage>
   <lpage>
    357
   </lpage>
   <history>
    <date date-type="received">
     <day>
      20,
     </day>
     <month>
      August
     </month>
     <year>
      2024
     </year>
    </date>
    <date date-type="published">
     <day>
      18,
     </day>
     <month>
      August
     </month>
     <year>
      2024
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      18,
     </day>
     <month>
      October
     </month>
     <year>
      2024
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    The supply of quality energy is a major concern for distribution network managers. This is the case for the company ASEMI, whose subscribers on the DJEGBE mini-power station network are faced with problems of current instability, voltage drops, and repetitive outages. This work is part of the search for the stability of the electrical distribution network by focusing on the audit of the DJEGBE mini photovoltaic solar power plant electrical network in the commune of OUESSE (Benin). This aims to highlight malfunctions on the low-voltage network to propose solutions for improving current stability among subscribers. Irregularities were noted, notably the overloading of certain lines of the PV network, implying poor distribution of loads by phase, which is the main cause of voltage drops; repetitive outages linked to overvoltage caused by lightning and overcurrent due to overload; faulty meters, absence of earth connection at subscribers. Peaks in consumption were obtained at night, which shows that consumption is greater in the evening. We examined the existing situation and processed the data collected, then simulated the energy consumption profiles with the network analyzer “LANGLOIS 6830” and “Excel”. The power factor value recorded is an average of 1, and the minimum value is 0.85. The daily output is 131.08 kWh, for a daily demand of 120 kWh and the average daily consumption is 109.92 kWh, or 83.86% of the energy produced per day. These results showed that the dysfunctions are linked to the distribution and the use of produced energy. Finally, we proposed possible solutions for improving the electrical distribution network. Thus, measures without investment and those requiring investment have been proposed.
   </abstract>
   <kwd-group> 
    <kwd>
     LV Distribution Network
    </kwd> 
    <kwd>
      Energy Audit
    </kwd> 
    <kwd>
      Mini PV Plant
    </kwd> 
    <kwd>
      Malfunctions
    </kwd> 
    <kwd>
      Corrective Measures
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>“Sustainable energy” means energy produced and used in such a way as to promote human development in all its dimensions (social, economic, and environmental) <xref ref-type="bibr" rid="scirp.136709-1">
     [1]
    </xref>. Across the world, two billion people do not have access to electricity and continue to use traditional solid fuels for cooking. Many energy strategies can benefit the environment, the economy, and the quality of life. Over the next 20 years, the amount of primary energy for a given level of energy services could be cost-effectively reduced by 25% to 35% in industrialized countries. The evolution of technologies has exceeded all expectations <xref ref-type="bibr" rid="scirp.136709-2">
     [2]
    </xref>. Global demand for renewable energy has steadily increased, as has energy consumption, particularly in developing countries <xref ref-type="bibr" rid="scirp.136709-3">
     [3]
    </xref>.</p>
   <p>We need to talk about renewable energies because it is thanks to them that we can begin to take care of our beautiful planet. These are inexhaustible energies found in nature, and thanks to them <xref ref-type="bibr" rid="scirp.136709-4">
     [4]
    </xref>, we can mitigate the effects of climate change while guaranteeing our energy needs. Renewable energy sources, as their name suggests, are renewable, that is to say, in a certain way, and unlike energies such as oil, gas, or coal, they are inexhaustible. Renewable energies make it possible to provide energy services with emissions of air pollutants and greenhouse gases equal to or close to zero. Without decisions in the coming decades, too many development opportunities will be lost <xref ref-type="bibr" rid="scirp.136709-3">
     [3]
    </xref>. This is one of the main reasons why it makes sense to start banking on renewable energy, such as solar and wind power, as it minimizes the risk that future generations will run out of energy. Energy resources have to face climate change even worse than what is currently occurring.</p>
   <p>The benefits of using this energy source are enormous. According to data from the International Renewable Energy Agency (IRENA), doubling the share of renewable energy worldwide to reach 36% of consumption by 2030 would mean a substantial increase in employment in the sector, which would increase from 9.2 million employees (currently to 24 million), which would correspond to an increase in the global economy of 1.1%. In short, thanks to renewable energies, new businesses can be created, energy dependence on third parties is reduced, and they contribute to job creation up to 5 times more than with conventional energies.</p>
   <p>The prospect of a world where we use renewable energies could well become a reality. An effective strategy for meeting the energy needs of rural populations consists of promoting their progression on the “energy ladder” <xref ref-type="bibr" rid="scirp.136709-3">
     [3]
    </xref>. Whether it is wind, solar, or biomass energy, renewable energy has become a viable energy supply option around the world, and in North America. The 2007 report from the Renewable Energy Action Network for the 21<sup>st</sup> Century (REN21) reveals that in that year, renewable energy accounted for 5% of global energy production capacity and 3.4% of global electricity production <xref ref-type="bibr" rid="scirp.136709-5">
     [5]
    </xref> <xref ref-type="bibr" rid="scirp.136709-6">
     [6]
    </xref>. Excluding large hydropower plants (which account for 15% of global electricity generation), RE generation capacity is estimated to have reached 240 gigawatts (GW) globally in 2007, or 50% more than in 2004. The current path of energy development is not compatible with the objectives of sustainable development <xref ref-type="bibr" rid="scirp.136709-7">
     [7]
    </xref>.</p>
   <p>The fastest growing energy production technology in the world is solar energy produced by grid-connected photovoltaic (PV) systems; the cumulative installed capacity of these systems increased by 50% in 2006 and 2007, which has undergone a marked improvement today. We, therefore <xref ref-type="bibr" rid="scirp.136709-5">
     [5]
    </xref>, had a total installed power of nearly 7.7 GW at the end of 2007. This means that 1.5 million houses in the world are equipped with PV panels on their roofs connected to the network <xref ref-type="bibr" rid="scirp.136709-8">
     [8]
    </xref>. The United States Department of Energy estimates that net generation in 2007 was 32.1 billion kilowatt-hours (kWh), up 21 percent from a year earlier and nearly five times more than at the beginning of the 21st century <xref ref-type="bibr" rid="scirp.136709-8">
     [8]
    </xref>.</p>
   <p>Technological innovation in developing countries could be profitable on an economic, environmental, and human level. Energy can be a powerful tool for sustainable development <xref ref-type="bibr" rid="scirp.136709-9">
     [9]
    </xref>. Then, distribution network managers (DNM) are used to guarantee the quality of the supplied electricity <xref ref-type="bibr" rid="scirp.136709-10">
     [10]
    </xref>. It is for this reason that many management companies are involved in the process of seeking to improve the stability of their network through electrical audit missions. Electrical auditing is considered an expertise that enables the evaluation of the operating quality of a system <xref ref-type="bibr" rid="scirp.136709-11">
     [11]
    </xref>. It makes it possible to identify the weaknesses and points of non-compliance of an electrical network and subsequently propose avenues for improvement.</p>
   <p>After analyzing the energy consumption profiles, we found voltage imbalances and power factors, which led to poor load distribution and equipment malfunctions. Hence, the non-compliance of subscriber installations is identified as a key factor of network instability.</p>
  </sec><sec id="s2">
   <title>2. Materials and Methods</title>
   <sec id="s2_1">
    <title>2.1. Presentation of the Study Site</title>
    <fig id="fig1" position="float">
     <label>Figure 1</label>
     <caption>
      <title>Photo 1. Site of the mini-power station in DJEGBE.2.1.1. Geographical Location of the SiteLocated in the North-East of Benin in the Collines department, the commune of Ouèssè (<xref ref-type="fig" rid="fig1">
        Figure 1
       </xref>) is limited to the North by the commune of Tchaourou, to the South by the communes of Savè and Glazoué, and to the West by those of Bantè and Bassila and to the East by the Federal Republic of Nigeria. It has nine (09) districts, including DJEGBE, which has three (03) villages, namely Adjaha, Wla, and Lokossa, sheltering the mini power plant site (<xref ref-type="bibr" rid="scirp.136709-#p1">
        Photo 1
       </xref>) <xref ref-type="bibr" rid="scirp.136709-12">
        [12]
       </xref>. The geographical data of DJEGBE are summarized in <xref ref-type="table" rid="table1">
        Table 1
       </xref> <xref ref-type="bibr" rid="scirp.136709-4">
        [4]
       </xref>.<xref ref-type="bibr" rid="scirp.136709-"></xref><p class="imgGroupCss_v"><img class=" imgMarkCss lazy" data-original="https://html.scirp.org/file/6202932-rId17.jpeg?20241021041455" /></p><xref ref-type="bibr" rid="scirp.136709-"></xref>Figure 1. Map of Ouèssè commune showing DJEGBE <xref ref-type="bibr" rid="scirp.136709-12">
        [12]
       </xref>.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId16.jpeg?20241021041455" />
    </fig>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.136709-"></xref>Table 1. Geographical data of DJEGBE <xref ref-type="bibr" rid="scirp.136709-4">
        [4]
       </xref>.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="14.32%"><p style="text-align:center">Latitude</p></td> 
       <td class="acenter" width="15.62%"><p style="text-align:center">8˚18'0"N</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.32%"><p style="text-align:center">Longitude</p></td> 
       <td class="acenter" width="15.62%"><p style="text-align:center">2˚24'0"E</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.32%"><p style="text-align:center">Altitude</p></td> 
       <td class="acenter" width="15.62%"><p style="text-align:center">168 m</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The district of Djègbé has a savannah climate, like all the localities in the region, such as Ouèssè. In this village, the average annual temperature is 27.1˚C with precipitation of 907.6 mm. In February, the average temperature is 29.5˚C. Therefore, February is the hottest month of the year. August is the coldest month of the year, with an average temperature of 24.7˚C <xref ref-type="bibr" rid="scirp.136709-13">
      [13]
     </xref>. The average precipitation of 11.4 mm makes December the driest month. In September, precipitation is the heaviest of the year with an average of 135.5 mm <xref ref-type="bibr" rid="scirp.136709-4">
      [4]
     </xref>.</p>
    <p>To take and analyze the measurements, we used the LANGLOIS 6830 model power and harmonic analyzer. A power and harmonic analyzer, commonly called a network analyzer (<xref ref-type="bibr" rid="scirp.136709-#p2">
      Photo 2(A)
     </xref>), makes it possible to display the characteristics and disturbances linked to an electrical network and is part of an electrical audit. Indeed, this network analyzer is an ideal tool for recording and analyzing all the fundamental electrical parameters of an electrical installation. It makes it possible to measure voltage, current, power, and energy parameters useful for a complete diagnosis of an electrical installation in order to locate, anticipate, prevent, and resolve network quality problems in power distribution systems <xref ref-type="bibr" rid="scirp.136709-14">
      [14]
     </xref>. It thus allows the study of load in a single-phase network, the visualization of current and voltage waveforms when commissioning electrical equipment, the measurement and monitoring of harmonic distortion caused by electronic loads and, above all, the storage of all these events or data in a single device. To use the software of this network analyzer, you will need to connect the RS-232 cable from the analyzer to the PC and then carry out the various operations. This software allowed us to have different profiles of power consumption, power factor, and harmonic rate on the electrical network. A tellurometer (<xref ref-type="bibr" rid="scirp.136709-#p2">
      Photo 2(B)
     </xref>) is an instrument for measuring the resistivity of the ground as well as the resistance of the earth connections of an electrical network. It determines the distance by measuring the round-trip travel time of the reflected microwaves.</p>
    <fig id="fig2" position="float">
     <label>Figure 2</label>
     <caption>
      <title>Photo 2. (A) network analyzer and (B) tellurometer.<xref ref-type="bibr" rid="scirp.136709-"></xref>2.2. MethodologyTo carry out a good diagnostic study of the low voltage electrical distribution network of the DJEGBE mini power plant, it is important to follow a rigorous method. Our study will therefore be carried out in three main phases: examination of the existing situation; the exploitation and processing of data. The success of these steps determines the reliability of the diagnosis.2.2.1. Examining the ExistingTo successfully complete this step, it is important that the analyst has tools and information collection frameworks that can enable him to carry out his study successfully and efficiently. The higher the level of diagnosis sought, the more precise the information must be. The different phases are meeting with the company managers, visiting the installations, and collecting data. To succeed in this first step, it is imperative to have a framework for collecting information or intelligence, which will be very useful later. At this stage, it will be necessary to:<li class="lid"><p>Meet a decision-maker: this is a meeting that must take place with company personnel with decision-making power. It is important that the person is one of the responsible managers of the mini-power plant or mini-grid capable of making decisions.</p></li>
<li class="lid"><p>Determine the needs: this involves finding out beforehand the situation in which the company finds itself, and on this occasion also providing essential and relevant information to the manager for a better assessment of its situation. The auditor must also inform himself of the objectives and means that will be available to him to carry out the study.</p></li>
<li class="lid"><p>Visit the field: this is an essential step since it is based on this information that all the work will be done. This step consists of visiting the installations of the mini power plant and the mini-grid, then taking the necessary measures. Also, it is important to visit subscriber households, check their installations, and collect data and irregularities. Thus, to take measures to properly audit the electrical network of the DJEGBE mini power plant, we carried out a one-week mission from 07/07/2022 to 07/14/2022 on the site at DJEGBE. This allowed us to better appreciate the realities on the ground in terms of electricity network instability. The strategy used to achieve our data collection objectives is essentially based on measuring using a network analyzer: voltages between phase-neutral (single voltages) and between phase-phase (compound voltages); the current of each line of the electrical network; active powers consumed and power factors. After taking the measurements, we went over the electricity network and visited subscriber households to check their installations in order to identify irregularities at their level. It is essentially that all future work will be based on this data.</p></li>2.2.2. Data Exploitation and ProcessingThe measurements taken or data collected during the previous step will be the subject of an in-depth study. It is from this study that avenues for improving the electrical distribution network of the mini power plant will emerge. Thus, we used the Power &amp; Harmonics Analyzer and Excel Software for data analysis and graph development. At this level, we will have to focus on the analysis of power consumption profiles, power factors, current stability among subscribers, network protection measures, and establish the daily energy balance of the site in order to better understand the causes of the instability of the electricity network. Therefore, we will be able to compare the capacity of the mini power plant to the real consumption needs of subscribers.3. Results, Analysis and Discussion<xref ref-type="bibr" rid="scirp.136709-"></xref>3.1. Presentation of Results</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId18.jpeg?20241021041456" />
    </fig>
    <p>Transmission networks are equipped with voltage adjustment solutions to guarantee stability. When a voltage variation is detected, the first setting engaged is the primary setting. This acts on the alternator: it sets the reactive power supplied as a function of the voltage. This setting is triggered automatically on the alternators present in the disturbance zone (Primary setting). Secondary control occurs in the face of large but slow national voltage fluctuations (which primary control cannot correct). It will determine the level of participation of the alternators according to their real voltage and the so-called “pilot” voltage. It is also automated (Secondary adjustment). Tertiary adjustment occurs as a last resort: it is triggered manually to ensure the restoration and/or maintenance of the voltage plan (Tertiary adjustment). Voltage imbalance occurs when the supplied voltages are not equal. A quick way to assess a voltage imbalance is to calculate the difference between the highest and lowest voltages across the three supply voltages. The value found should not exceed 4% of the lowest supply voltage <xref ref-type="bibr" rid="scirp.136709-15">
      [15]
     </xref>. The table below shows the highest and lowest values of the supply voltages recorded on each phase.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.136709-"></xref>Table 2. Power supply voltages are higher and lower in each phase.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.17%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="75.66%" colspan="3"><p style="text-align:center">Supply voltages (simple voltages in Volts)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="19.17%"><p style="text-align:center">Quality</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="23.83%"><p style="text-align:center">L1</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="23.83%"><p style="text-align:center">L2</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="28.01%"><p style="text-align:center">L3</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="19.17%"><p style="text-align:center">Highest</p></td> 
       <td class="custom-top-td acenter" width="23.83%"><p style="text-align:center">234.7</p></td> 
       <td class="custom-top-td acenter" width="23.83%"><p style="text-align:center">232.1</p></td> 
       <td class="custom-top-td acenter" width="28.01%"><p style="text-align:center">231</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.17%"><p style="text-align:center">Lowest</p></td> 
       <td class="acenter" width="23.83%"><p style="text-align:center">227.7</p></td> 
       <td class="acenter" width="23.83%"><p style="text-align:center">228</p></td> 
       <td class="acenter" width="28.01%"><p style="text-align:center">14.1</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Highest supply voltage: 234.7; lowest supply voltage: 14.1 4% of 14.1 = 0.564 V (<xref ref-type="table" rid="table2">
      Table 2
     </xref>). Calculation of the difference between the highest and lowest voltage. Let Ud this difference. Ud = 234.7 − 14.1 = 220.6 V, we have: 220.6 &gt; 0.564.</p>
    <p>During observations and analyses of the various measures, we noted that subscribers who are on:</p>
    <p>The analysis of the electrical network of the DJEGBE mini power plant was carried out using a device called a power and harmonic analyzer (<xref ref-type="bibr" rid="scirp.136709-#p2">
      Photo 2(A)
     </xref>) model 6830. The measurements were taken for a week according to different time settings.</p>
    <p>1) Profile of power consumed by the BT network.</p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>Figure 2. Power profile of phase 1. (L1)</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId20.jpeg?20241021041459" />
    </fig>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 3. Power profile of phase 2. (L2)</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId21.jpeg?20241021041459" />
    </fig>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 4. Power profile of phase 3. (L3)</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId22.jpeg?20241021041459" />
    </fig>
    <fig id="fig6" position="float">
     <label>Figure 6</label>
     <caption>
      <title>Figure 5. Profile of the cumulative power of the three phases of the BT network.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId23.jpeg?20241021041459" />
    </fig>
    <fig id="fig7" position="float">
     <label>Figure 7</label>
     <caption>
      <title>Figure 6. Phase 1 Power Factor Profile.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId24.jpeg?20241021041459" />
    </fig>
    <p>2) Profile of power factors consumed by the network.</p>
    <fig id="fig8" position="float">
     <label>Figure 8</label>
     <caption>
      <title>Figure 7. Phase 2 Power Factor Profile.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId25.jpeg?20241021041459" />
    </fig>
    <fig id="fig9" position="float">
     <label>Figure 9</label>
     <caption>
      <title>Figure 8. Power factor profile of phase 3.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId26.jpeg?20241021041459" />
    </fig>
    <fig id="fig10" position="float">
     <label>Figure 10</label>
     <caption>
      <title>Figure 9. Daily energy balance.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId27.jpeg?20241021041459" />
    </fig>
    <fig id="fig11" position="float">
     <label>Figure 11</label>
     <caption>
      <title>Figure 10. Daily Demand for Consumption with Storage + Losses.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="" />
    </fig>
    <fig id="fig11" position="float">
     <label>Figure 11</label>
     <caption>
      <title>Figure 10. Daily Demand for Consumption with Storage + Losses.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId28.jpeg?20241021041459" />
    </fig>
    <fig id="fig11" position="float">
     <label>Figure 11</label>
     <caption>
      <title>Figure 10. Daily Demand for Consumption with Storage + Losses.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/6202932-rId29.jpeg?20241021041459" />
    </fig>
   </sec>
   <sec id="s2_2">
    <title>
     <xref ref-type="bibr" rid="scirp.136709-"></xref>3.2. Analysis and Discussion of Results</title>
    <p>
     <xref ref-type="bibr" rid="scirp.136709-"></xref>The analysis of these profile curves of the consumed powers shows that phase 1 (<xref ref-type="fig" rid="fig2">
      Figure 2
     </xref>) reaches its peak at 8:38 p.m. with a consumption of 2.05 kW. Phase 2 (<xref ref-type="fig" rid="fig3">
      Figure 3
     </xref>) reaches its peak at 8:20 p.m. with a consumption of 3.05 kW. At phase 3, the peak power profile obtained is 0.17 kW with high malfunction at phase 3 (<xref ref-type="fig" rid="fig4">
      Figure 4
     </xref>). We have the same trend in terms of the accumulation of the three phases, where the peak is obtained at 9:34 p.m. with a consumption of 4.58 kW. The difference is at the level of phase 3 (<xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>), where we only obtain at this level the peak at 6:30 a.m. with a consumption of 0.16 kW. This difference shows us that the three phases are not balanced, which is synonymous with poor load distribution per phase. It therefore emerges from this analysis that lines 1 and 2 are overloaded, which constitutes the main cause of the voltage drops among subscribers. The analysis of these power factor profile curves reveals that phases 1 (<xref ref-type="fig" rid="fig6">
      Figure 6
     </xref>) and phases 2 (<xref ref-type="fig" rid="fig7">
      Figure 7
     </xref>) respectively reach their power factor peak at 11:12 a.m. and 4:20 p.m. with a value of 0.97 kW. At phase 3, the peak power factor obtained is 0.69 kW, which occurred at 6:30 a.m. with a malfunction in places (<xref ref-type="fig" rid="fig8">
      Figure 8
     </xref>). These different values justify the imbalance between the phases. As for the cumulative power factor profile, it gives us a maximum value of 1 kW and a minimum value of 0.86 kW. These values are substantially good and acceptable and cannot cause a penalty. This assessment (<xref ref-type="fig" rid="fig9">
      Figure 9
     </xref>) allows us to know that the daily output is 131.08 kWh, for a current daily demand of 120 kWh, or 91.55% of the energy produced per day (<xref ref-type="fig" rid="fig10">
      Figure 10
     </xref>). Current consumption per day is 109.92 kWh or 83.86% of the daily production (<xref ref-type="fig" rid="figFigures 9 and 10">
      Figures 9 and 10
     </xref>). Furthermore, this assessment reveals that a minimum energy of 21.16 kWh is likely to be stored per day, plus possibly losses. This report confirms that the problems of current instability observed among subscribers are not linked to PV production or the storage capacity of the batteries. So, the mini power plant has no problem; it works well, production is available and all that remains is to be used properly. The work of Joseph SEYMOUR and Terry HORSLEY is acceptable because the difference between the high and the lowest voltage obtained is much less than 4% of the lowest supply voltage. This confirms that there is an excessive voltage imbalance on the LV electrical distribution network of the DJEGBE mini-power plant. This implies a poor distribution of loads per phase. Furthermore, the various findings made at subscriber installations do not comply with the requirements of the French standard C15-100, which is the reference for electrical installations. On the other hand, the observations made in the mini-power station attest to compliance with the requirements of the French standard C15-100, which is the reference for electrical installations. This confirms that the problems of current instability observed among subscribers are not linked to PV production, nor to the storage capacity of the batteries, but rather to the distribution and use among subscribers whose installations do not comply with any standards.</p>
   </sec>
  </sec><sec id="s3">
   <title>4. Conclusion</title>
   <p>In this work, we were interested in the impact of regulation on the stability of medium voltage feeders of the electrical distribution network. The audit carried out the existence of malfunctions on the LV network of the DJEGBE mini-PV power plant, in particular, a poor distribution of loads by phase with the overload of lines 1 and 2. Too great a voltage imbalance between the phases and the non-existence of protection bodies at subscriber installations, which do not comply with the standard in force (NF C15-100). Faced with this, recommendations were given for the improvement of said network, this will allow the company to satisfy its customers and increase its turnover. Finally, our work made it possible to provide distribution network managers with methodologies for adjusting the parameters of local regulators at the producer level. The different approaches proposed present varied possibilities for best adapting to the needs and capacities of distribution network managers. Finally, we propose an adjustment of the speed of regulations for network codes, that is to say, which is valid regardless of the network and the producers it connects. The stability of a producer depends on its position on the network, its installed power and its measurement filter.</p>
  </sec><sec id="s4">
   <title>Authors’ Contributions</title>
   <p>This work was carried out in collaboration between all the authors. The “senior author” and the “first two co-authors” designed the study, performed the statistical analysis, and calculation, and wrote the study protocol for the manuscript. The “last co-author” supervised and coordinated the work. All authors have read and given final approval for publication of the manuscript.</p>
  </sec><sec id="s5">
   <title>Acknowledgements</title>
   <p>The authors are indebted to the ASEMI Company based in DJEGBE (Benin) for the support and especially for the databases made available to us.</p>
  </sec><sec id="s6">
   <title>Data Availability</title>
   <p>The datasets generated during and/or analyzed during the current study are available from the authors at reasonable request.</p>
  </sec>
 </body><back>
  <ref-list>
   <title>References</title>
   <ref id="scirp.136709-ref1">
    <label>1</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Acclassato, O.G., Tokpohozin, N.B., Akowanou, C.D., Houékpohéha, A.M., Houngue, G.H. and Kounouhéwa, B.B. (2022) Study of Dissipating of Wave Energy in the Breakers Zone of the Gulf of Guinea: Case of Autonomous Port of Cotonou in Benin Coastal Zone. Journal of Modern Physics, 13, 1272-1286. &gt;https://doi.org/10.4236/jmp.2022.139076
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref2">
    <label>2</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Tokpohozin, N.B., Fannou, J.-L.C., Houngue, H.G., Houekpoheha, A.M. and Kounouhewa, B.B. (2023) Energetic Power Estimation of Swells and Orbital Marine Currents in Benin Coastal Zone (Gulf of Guinea). International Journal of Advanced Research, 11, 366-382. &gt;https://doi.org/10.21474/ijar01/16261
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref3">
    <label>3</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Goldemberg, J., Baker, W.J., Ba-N’Daw, S., Khatib, H., Papescu, A. and Viray, L.F. (2000) Rapport sur l’énergie dans le monde. Programme des Nations Unies pour le Développement.
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref4">
    <label>4</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Marjorie, C. (2016) Stabilité du réseau électrique de distribution. Analyse du point de vue automatique d’un système complexe. Master’s Thesis, Université Paris Saclay (COmUE).
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref5">
    <label>5</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Kounouhewa, B.B., Hervé Hounguè, G., Almar, R., Sohou, Z., Lefebvre, J. and Houépkonhéha, M. (2018) Waves Forcing Climate on Bénin Coast, and the Link with Climatic Index, Gulf of Guinea (West Africa). Journal of Coastal Research, 81, 130-137. &gt;https://doi.org/10.2112/si81-017.1
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref6">
    <label>6</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     (2011) REALISER UN AUDIT SOLAIRE: Étudier la faisabilité d’une installation solaire thermique de grande capacité.
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref7">
    <label>7</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Bromirski, P.D., Cayan, D.R. and Flick, R.E. (2005) Wave Spectral Energy Variability in the Northeast Pacific. Journal of Geophysical Research: Oceans, 110, C03005. &gt;https://doi.org/10.1029/2004jc002398
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref8">
    <label>8</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Zonon, W.B. (2017) Dimensionnement d’une centrale solaire de 5mw pour le renforcement des capacites energetiques de la sbee a ouidah.&gt;https://koha.uac.bj/cgi-bin/koha/opac-detail.pl?biblionumber=58416 
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref9">
    <label>9</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Mwalule, G. and Mzuza, M.K. (2022) Factors Influencing the Use of Solar Energy Technology in a Local Township of Blantyre City, Malawi. Open Journal of Energy Efficiency, 11, 1-9. &gt;https://doi.org/10.4236/ojee.2022.111001
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref10">
    <label>10</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Détail sur les climats de Ouèssè. &gt;https://www.quandpartir.ch/benin/ouesse-308074/ 
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref11">
    <label>11</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Jaouhari, Y.E. (2020) Audit Énergétique d’Un Bâtiment Institutionnel: Stratégies d’Efficacité Énergétique. Master’s Thesis, Université du Québec à Rimouski.&gt;https://semaphore.uqar.ca/id/eprint/1926/1/Younes_El%20Jaouhari_decembre2020.pdf 
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref12">
    <label>12</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Détail sur les limitations de Ouèssè. Djègbé est l’un des neuf arrondissements de la commune de Ouèssè dans le département des Collines au Bénin. &gt;https://fr.m.wikipedia.org/wiki/Dj%C3%A8gb%C3%A9_(Collines) 
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref13">
    <label>13</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Maoulida, F., Rabah, D., Ganaoui, M.E. and Aboudou, K.M. (2021) PV-Wind-Diesel System for Energy Supply on Remote Area Applied for Telecommunication Towers in Comoros. Open Journal of Energy Efficiency, 10, 50-72. &gt;https://doi.org/10.4236/ojee.2021.102004
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref14">
    <label>14</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Alves, J.G.M. (2006) Numerical Modeling of Ocean Swell Contributions to the Global Wind-Wave Climate. Ocean Modelling, 11, 98-122. &gt;https://doi.org/10.1016/j.ocemod.2004.11.007
    </mixed-citation>
   </ref>
   <ref id="scirp.136709-ref15">
    <label>15</label>
    <mixed-citation publication-type="other" xlink:type="simple">
     Hwang, P.A., Ocampo-Torres, F.J. and García-Nava, H. (2012) Wind Sea and Swell Separation of 1D Wave Spectrum by a Spectrum Integration Method. Journal of Atmospheric and Oceanic Technology, 29, 116-128. &gt;https://doi.org/10.1175/jtech-d-11-00075.1
    </mixed-citation>
   </ref>
  </ref-list>
 </back>
</article>