<?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">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1108338</article-id><article-id pub-id-type="publisher-id">OALibJ-116204</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  Energy Audit Assessment of Standalone PV System (A Case Study of Heartland Radio Broadcasting Station)
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gerald</surname><given-names>I. Okwe</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ephraim</surname><given-names>Okafor</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Laz</surname><given-names>Uzoechi</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Isdore</surname><given-names>O. Akwukwaegbu</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>Department of Electrical/Electronics Engineering, Federal University of Technology Owerri, Owerri, Nigeria</addr-line></aff><aff id="aff1"><addr-line>Centre for Energy Research and Development, University of Nigeria, Nsukka, Nigeria</addr-line></aff><pub-date pub-type="epub"><day>04</day><month>03</month><year>2022</year></pub-date><volume>09</volume><issue>03</issue><fpage>1</fpage><lpage>15</lpage><history><date date-type="received"><day>29,</day>	<month>December</month>	<year>2021</year></date><date date-type="rev-recd"><day>25,</day>	<month>March</month>	<year>2022</year>	</date><date date-type="accepted"><day>28,</day>	<month>March</month>	<year>2022</year></date></history><permissions><copyright-statement>&#169; 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><p>
 
 
  It is no longer news that the Nigerian Power sector is inundated with myriads of challenges to satisfy the energy needs of consumers. In this paper, an energy audit assessment of standalone PV system “a case study of heartland radio broadcasting station” is conducted which offered the most accurate estimate of energy savings, cost and provided uninterrupted power to the Broadcasting Station. The results obtained showed that the annual electricity bill of the broadcasting house dropped reasonably from N9,402,832.71 to N2,286,410.3 between the current and recommended load, while the total annual saving of electricity bill stands at N7,116,422.40. This is a clear indication that the energy audit carried out actually reduced the cost of energy consumption of the station.
 
</p></abstract><kwd-group><kwd>Energy Audit</kwd><kwd> PV System</kwd><kwd> Load Shedding</kwd><kwd> BlueSol</kwd><kwd> Payback Period</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The degree of development and civilization of a country is measured by the amount of the utilization of energy by human beings. The increase in energy demand is linearly proportional to the increase in population, urbanization and industrialization. Due to the depletion of fossil fuel globally, the increase in energy consumption exceeds the energy supply leading to an energy crisis [<xref ref-type="bibr" rid="scirp.116204-ref1">1</xref>]. Photovoltaic energy has been embraced as the most significant source of renewable energy used for electricity generation in recent times in view of its seeming unlimited abilities. In this paper, an energy audit is conducted in a broadcasting house to ascertain the actual energy consumption and identify ways to decrease energy usage and save cost. Energy audit is a careful examination of the electrical loads. This is crucial for stand-alone systems which are commonly seen in Nigeria. It helps to prevent oversizing of the system, safeguarding your electrical appliances from damaging from inappropriate power surges and it generally saves your cost. Secondly, information from energy audit is required in solar PV system design. Without an accurate energy audit, it’s seemingly impossible to design a sustainable solar system. The first step to an Energy Audit is to evaluate how much energy is being used to enable an auditor to identify the improvements that need to be made in order to increase energy efficiency.</p><p>Heartland Radio Broadcasting Station Owerri was considered for the study. The city receives abundant solar energy with an average daily solar radiation of about 5.25 kW∙h/m<sup>2</sup>/day that can be usefully connected [<xref ref-type="bibr" rid="scirp.116204-ref2">2</xref>]. Standalone Solar PV system is an ultimate, convenient and self-sufficient alternative to provide electricity for people living far from the electric grid in remote locations facing long hours of load shedding due to where grid extension is practically unviable or for people living in metropolitan areas who want electric power without having a connection to utility grid [<xref ref-type="bibr" rid="scirp.116204-ref3">3</xref>].</p></sec><sec id="s2"><title>2. Historical Review of Owerri Transmission Substation</title><p>Transmission Company of Nigeria (TCN) Owerri work Centre has installed capacity of 160 MW fed via 132 kV double circuit transmission line running from Alaoji in Aba Abia State to Owerri Imo State extending to Ahoada in Rivers State. An existing generation station at Gbarain is capable of supplying up 100 MW via Ahoada network, which means that Owerri can import or export from Ahoada on 132 kV level. The grid is stepped down to 33 kV via 2 &#215; 60 MVA and 1 &#215; 40 MVA Transformers into 8 &#215; 33 kV feeders namely: Orlu, Mbaise, Alex, NewOguta, Oguta, Owerri 3, Owerri/Airport and Okigwe respectively. Upon all these facilities, the area is being under supplied with electricity. <xref ref-type="fig" rid="fig1">Figure 1</xref> shows line diagram representation of 132/33kV Owerri Transmission line. The total allocated supply from Alaoji GenCO to the work Centre ranges from 50 - 80 MW as against the installed capacity which shows that the demand is much higher than the supply. It has been estimated that about 86% of households in Imo depend on fuel wood as their source of energy. On that note, there is urgent need to adopt an alternative solar PV technology to augment the short fall in the industry which has poised serious threat to the power system security of the state and the nation at large.</p></sec><sec id="s3"><title>3. Design Methodology</title><p>A systematic approach was adopted to carry out a detailed energy audit assessment of the broadcasting station, conduct PV system design. The method offered the most accurate estimate of energy savings and cost. The energy audit depends on the record of the actual energy consumption of the broadcasting house and calculations of energy use. Thereafter the actual energy consumption is calculated with recommended use is then compared to utility bill charges.</p><sec id="s3_1"><title>3.1. Load Calculation</title><p>A detailed load audit was carried out which offered the most accurate estimate of energy savings and cost. A load survey was conducted on the available load capacity of the Broadcasting house. The different types of electrical loads and their power rating were identified, as shown in <xref ref-type="table" rid="table1">Table 1</xref>. Note that this is the calculated building load, but practically, diversity factor will often come into play because all the loads may not be switched on at the same time. In Nigeria, official work hour for most companies is usually from 8 am to 5 pm. For the purpose of this paper, we are assuming that the office runs for an average of 10 h daily from Monday through Friday. This implies that a five-day work week is used. Using 261 work days per year and over the next 10 years, there are 2610 work days, taking into cognizance the average number of public holidays in a year [<xref ref-type="bibr" rid="scirp.116204-ref4">4</xref>].</p><p>From <xref ref-type="table" rid="table2">Table 2</xref> comparing the yearly electricity bill between the current energy consumption to that recommended energy consumption after an energy audit</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Current energy consumption for the Broadcasting house</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >S/N</th><th align="center" valign="middle" >Description</th><th align="center" valign="middle" >Ratings in (W)</th><th align="center" valign="middle" >Qty</th><th align="center" valign="middle" >Hrs in use</th><th align="center" valign="middle" >Estimated total load (W)</th><th align="center" valign="middle" >Daily energy</th></tr></thead><tr><td align="center" valign="middle"  rowspan="3"  >1</td><td align="center" valign="middle" >Lightening points</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >a) Internal</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >70</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >2800</td><td align="center" valign="middle" >28,000</td></tr><tr><td align="center" valign="middle" >b) External 1</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >4000</td><td align="center" valign="middle" >40,000</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >Fans</td><td align="center" valign="middle" >80</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >12,000</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >Refrigerators</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >200</td><td align="center" valign="middle" >2000</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >Aviation light</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >12</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >240</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >Air conditioners (1 Hp)</td><td align="center" valign="middle" >746</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >11,190</td><td align="center" valign="middle" >111,900</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >TV</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >600</td><td align="center" valign="middle" >6000</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >Photocopiers/Printers</td><td align="center" valign="middle" >1000</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >2000</td><td align="center" valign="middle" >10,000</td></tr><tr><td align="center" valign="middle" >8</td><td align="center" valign="middle" >Transmitter</td><td align="center" valign="middle" >20,000</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >24</td><td align="center" valign="middle" >2000</td><td align="center" valign="middle" >480,000</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >Laptop</td><td align="center" valign="middle" >80</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >800</td><td align="center" valign="middle" >8000</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >CCTV cameras</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >200</td><td align="center" valign="middle" >2000</td></tr><tr><td align="center" valign="middle" >11</td><td align="center" valign="middle" >Internet router</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >1000</td></tr><tr><td align="center" valign="middle" >12</td><td align="center" valign="middle" >Desktop computer</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >1000</td><td align="center" valign="middle" >10,000</td></tr><tr><td align="center" valign="middle" >15</td><td align="center" valign="middle" >Bore holes (1 Hp)</td><td align="center" valign="middle" >746</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >74,600</td><td align="center" valign="middle" >74,600</td></tr><tr><td align="center" valign="middle"  colspan="2"  >Total energy in a day</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >100,710</td><td align="center" valign="middle" >785,740</td></tr><tr><td align="center" valign="middle"  colspan="2"  >Total energy in a month (20 days)</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >2,014,200</td><td align="center" valign="middle" >15,714,800</td></tr><tr><td align="center" valign="middle"  colspan="2"  >Total energy in a year (261 days)</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >26,285,310</td><td align="center" valign="middle" >205,078,140</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Electricity bill for the broadcasting house</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Current energy bill</th><th align="center" valign="middle" >Recommended energy bill</th></tr></thead><tr><td align="center" valign="middle" >1) Yearly 205078140 1000 &#215; 45.85 1 = N 9402832.7</td><td align="center" valign="middle" >1) Yearly 49867182 1000 &#215; 45.85 1 = N 2286410.3</td></tr><tr><td align="center" valign="middle" >2) Monthly 15714800 1000 &#215; 45.85 1 = N 720523.5</td><td align="center" valign="middle" >2) Monthly 3821240 1000 &#215; 45.85 1 = N 175203.9</td></tr><tr><td align="center" valign="middle" >3) Daily 785740 1000 &#215; 45.85 1 = N 36026.2</td><td align="center" valign="middle" >3) Daily 191062 1000 &#215; 45.85 1 = N 8 , 760.2</td></tr></tbody></table></table-wrap><p>have been conducted showed a huge reduction in bill from N9,402,832.70 to N2,286,410.30 serving a sum of N7,116,422.40.</p></sec><sec id="s3_2"><title>3.2. PV System Design</title><p>The power needed by the load in single day = 24,416 W.</p><p>From <xref ref-type="table" rid="table3">Table 3</xref> below, daily energy consumption = 191,061 W∙h/day:</p><p>Total energy required = 191061 &#215; 1.3 = 248379.3   W ⋅ h / day (1)</p><p>where loss factor = 1.3, panel generation factor= 3.41 [<xref ref-type="bibr" rid="scirp.116204-ref5">5</xref>]:</p><p>Total Energy needed from PV module to operate th eappliance = 248379.3 3.41 = 72839   W ⋅ p (2)</p><p>PV power rating per module = 315 W∙p [<xref ref-type="bibr" rid="scirp.116204-ref6">6</xref>]:</p><p>The no of minimum of PV modules for the system = 72839 315 = 231.2 (3)</p><p>The number of panels required = 231.2 Panels.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Recommended energy consumption for the broadcasting house</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >S/N</th><th align="center" valign="middle" >Description</th><th align="center" valign="middle" >Ratings in (W)</th><th align="center" valign="middle" >Qty</th><th align="center" valign="middle" >Hrs in use</th><th align="center" valign="middle" >Estimated total load (W)</th><th align="center" valign="middle" >Daily energy</th></tr></thead><tr><td align="center" valign="middle"  rowspan="3"  >1</td><td align="center" valign="middle" >Lightening points</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >a) Internal</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >70</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >70</td><td align="center" valign="middle" >7000</td></tr><tr><td align="center" valign="middle" >b) External 1</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >1500</td><td align="center" valign="middle" >9000</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >Fans</td><td align="center" valign="middle" >80</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >1200</td><td align="center" valign="middle" >6000</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >Refrigerators</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >200</td><td align="center" valign="middle" >10,000</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >Aviation light</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >12</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >120</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >Air conditioners (1 Hp)</td><td align="center" valign="middle" >746</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >11,190</td><td align="center" valign="middle" >55,950</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >TV</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >600</td><td align="center" valign="middle" >3000</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >Photocopiers/Printers</td><td align="center" valign="middle" >1000</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >2000</td><td align="center" valign="middle" >4000</td></tr><tr><td align="center" valign="middle" >8</td><td align="center" valign="middle" >Transmitter</td><td align="center" valign="middle" >5000</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >5000</td><td align="center" valign="middle" >85,000</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >Laptop</td><td align="center" valign="middle" >80</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >800</td><td align="center" valign="middle" >4000</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >CCTV cameras</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >50</td><td align="center" valign="middle" >250</td></tr><tr><td align="center" valign="middle" >11</td><td align="center" valign="middle" >Internet router</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >50</td><td align="center" valign="middle" >250</td></tr><tr><td align="center" valign="middle" >12</td><td align="center" valign="middle" >Desktop computer</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >1000</td><td align="center" valign="middle" >5000</td></tr><tr><td align="center" valign="middle" >15</td><td align="center" valign="middle" >Bore holes (1 Hp)</td><td align="center" valign="middle" >746</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >746</td><td align="center" valign="middle" >1492</td></tr><tr><td align="center" valign="middle"  colspan="2"  >Total energy in a day</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >24,416</td><td align="center" valign="middle" >191,062</td></tr><tr><td align="center" valign="middle"  colspan="2"  >Total energy in a month (20 days)</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >488,320</td><td align="center" valign="middle" >3,821,240</td></tr><tr><td align="center" valign="middle"  colspan="2"  >Total energy in a Year (261 days)</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >6,372,576</td><td align="center" valign="middle" >49,867,182</td></tr></tbody></table></table-wrap><p>The system will be powered with 232 panels of 315 W PV module.</p><p>N m s = V system / V module = 1   module &#215; 24   V / 6   V = 4   PV modules [<xref ref-type="bibr" rid="scirp.116204-ref7">7</xref>] (4)</p><p>N m t = N m s &#215; N m p</p><p>N m p = N m t / N m s = 1   module &#215; 232 / 4 = 58 panels are required in parallel</p><p>P array = N m s &#215; N m p &#215; P module = 4 &#215; 58 &#215; 315 = 73080   W (5)</p><p>where</p><p>N<sub>ms</sub> = Number of PV module in series;</p><p>N<sub>mp</sub> = Number of PV module in parallel;</p><p>N<sub>mt</sub> = Number of total PV modules.</p><sec id="s3_2_1"><title>3.2.1. Determination of Size of Inverter</title><p>Inverter is required to converter direct current to alternating current. If the power rating of inverter is less than the total power of electrical load our system will be overloaded so the inverter rating should be 25% - 30% greater than the power of appliances for safety margin [<xref ref-type="bibr" rid="scirp.116204-ref8">8</xref>].</p><p>From <xref ref-type="table" rid="table3">Table 3</xref>, total estimated load = 24,416 W;</p><p>Power factor = 0.85;</p><p>Loss factor = 1.3;</p><p>Inverter efficient 90% = 0.9.</p><p>Total load in V ⋅ A = total watt pf = 24416 0.85 = 28724   V ⋅ A (6)</p><p>Size of inverter ( W ) = total watt &#215; loss factor efficiency = 24416 &#215; 1.3 0.9 = 35268   W   or   35   kW (7)</p><p>Size of inverter ( V ⋅ A ) = 28724 &#215; 1.3 0.9 = 41490   V ⋅ A   or   42   kV ⋅ A [<xref ref-type="bibr" rid="scirp.116204-ref9">9</xref>] (8)</p><p>The inverter rating required for the design is ABB 3 Phase ABB 50 kW Solar on Grid System.</p></sec><sec id="s3_2_2"><title>3.2.2. Determination of Battery Size</title><p>This step is also very important for reliability of our system because during night and cloud days’ sufficient energy are required to operate the appliances. Solar battery is the one of the most important consideration when choosing the basic components of your solar electric system. The battery capacity should be large enough to store sufficient energy to operate the appliances at night and during the cloudy day.</p><p>Size of Battery = C &#215; n 0.85 &#215; 0.6 &#215; V system [<xref ref-type="bibr" rid="scirp.116204-ref10">10</xref>] (9)</p><p>where:</p><p>0.85 = battery loss;</p><p>0.6 = depth of discharge;</p><p>V<sub>system</sub> = 48 V;</p><p>C = Battery Bank capacity of energy per day in Wh;</p><p>n = number of autonomy.</p><p>Autonomy is the number of days that you need the system to operate when there is no power produced from PV panel.</p><p>Battery size with   2   days autonomy = C &#215; n 0.85 &#215; 0.6 &#215; V system [<xref ref-type="bibr" rid="scirp.116204-ref11">11</xref>] (10)</p><p>Size of Battery = 191062 &#215; 2   days / days 0.85 &#215; 0.6 &#215; 48 = 15609.6   A ⋅ h (11)</p><p>The battery capacity adopted = Greensun Battery 2 V/1000 Ah:</p><p>N b t = 1   battery &#215; battery bank capacity capacity of the selected battery (12)</p><p>Number of batteries required = 1   battery &#215; 15609.6   A ⋅ h 1000   A ⋅ h = 15.6 (13)</p><p>Total number of batteries required = 16:</p><p>N b s = V system V battery = 1   battery &#215; 24 2 = 12   batteries (14)</p><p>N b p = 1   battery &#215; N b t N b s = 1   battery &#215; 16 2 = 8   Batteries (15)</p><p>N<sub>bt</sub> = number of total batteries;</p><p>N<sub>bs</sub> = number of batteries is series;</p><p>N<sub>bp</sub> = number of batteries in parallel.</p></sec><sec id="s3_2_3"><title>3.2.3. Determination of Size of Charge Controllers</title><p>In this step an appropriate charge controller to match the voltage of PV array and the battery. The function of the charge controller is to regulate the charge going into the batteries bank from the solar panel array and prevent overcharging and reverse current flow at the night. Most used charge controllers are pulse width modulation, Pulse Width Modulation (PWM) or Maximum Power Point tracking (MPPT). When MPPT solar charge controller notices a difference in voltage, it will automatically and efficiently convert the lower voltage so your panels, battery bank and PV charge can all be equal in voltage. PV module specifications, for the short circuit current = 10.10 A.</p><p>I rated = ( N b p &#215; I s c ) &#215; 1.3 = 8 &#215; 10.10 &#215; 1.3 = 105.04   A [<xref ref-type="bibr" rid="scirp.116204-ref12">12</xref>] (16)</p><p>where:</p><p>I<sub>rated</sub>= solar controller rating;</p><p>I<sub>sc</sub> short circuit current;</p><p>N<sub>bp</sub> no of parallel battery;</p><p>1.3 = safety factor.</p><p>Using a string of four PV modules per controller = ( 4 &#215; 10.10   A ) &#215; 1.3 = 52.52   A (17)</p><p>A Charge Controllers of 60 A is used (Pfanpusun Mppt Solar Charge controller 60 Ah, 48 V).</p></sec><sec id="s3_2_4"><title>3.2.4. Determination of Cable Sizing</title><p>The purpose of this step is to match the type of wire you need to use with the current which will pass through it in order to maintain the reliability and the performance of our system. When the size and type of wire are well selected this improves reliability and performance of PV system that is why cable sizing is a very important step. In this we use copper wire. The cable cross sectional area is determined by the following equation:</p><p>A = P &#215; L &#215; I V d (18)</p><p>where:</p><p>P = resistivity of wire;</p><p>For Copper P = 1.724 E   −   8   Ω ⋅ m ;</p><p>L = length of wire;</p><p>A = cross sectional area of cable;</p><p>I = rated current of regulator;</p><p>V<sub>d</sub> = voltage drop.</p><p>In both AC and DC wiring for grid tied PV system the voltage is taken not to exceed 4% value.</p><p>1) Determination of cables size between PV modules and batteries:</p><p>Maximum voltage drop V d = 4 100 &#215; V module [<xref ref-type="bibr" rid="scirp.116204-ref12">12</xref>] (19)</p><p>V d = 4 100 &#215; 24 = 0.96</p><p>Let the length of the cable is 1 m:</p><p>Now A = P &#215; l &#215; I V d &#215; 2 = 1.742 &#215; 10 − 8 &#215; 1 &#215; 4507.8 0.96 = 8.17977875 &#215; 10 − 5     m 2 = 8.1798   mm 2 (20)</p><p>This means that any copper cable of cross-sectional area 8.1715 mm<sup>2</sup> can be used for the wiring between PV module and batteries through the charge controller.</p></sec><sec id="s3_2_5"><title>3.2.5. Determination of Cable between the Battery Bank and the Inverter</title><p>Maximum voltage drop V d = 4 100 &#215; V system (21)</p><p>At full load, batteries maximum current I<sub>max</sub> is given by:</p><p>I max = Inverter kV ⋅ A efficiency of inverter &#215; V system (22)</p><p>System voltage = 24 V.</p><p>Let length of the cable be 7 m:</p><p>I max = Inverter kV ⋅ A efficiency of inverter &#215; V system = 42   kV ⋅ A 0.96 &#215; 24 = 2   A (23)</p><p>Maximum voltage drop V d = 4 100 &#215; 24 = 0.96 (24)</p><p>A = 4 100 &#215; 24 = 0.96</p><p>A = 1.742 &#215; 10 − 8 &#215; 7 &#215; 2 0.96 &#215; 2   m 2 = 59.1   m 2 = 6   mm 2 (25)</p></sec><sec id="s3_2_6"><title>3.2.6. Determination of Cable Sizes between the Inverter and Load</title><p>Maximum voltage drop V d = 4 100 &#215; V system (26)</p><p>Here the system voltage = 220 V:</p><p>I phase = Inverter kV ⋅ A V out &#215; 3 = 1374.2   kV ⋅ A 200 &#215; 3 = 4   A (27)</p><p>V d = 4 100 &#215; 220   V = 8.8   V (28)</p><p>where V<sub>out</sub> = 220 V:</p><p>A = P &#215; l &#215; I V d (29)</p><p>Let the maximum length of the cable be 20 m:</p><p>A = 1.742 &#215; 10 − 8 &#215; 20 &#215; 4 8.8 &#215; 2   m 2 = 3.17   m 2 (30)</p><p>A = 3   mm 2 <sup> </sup></p></sec><sec id="s3_2_7"><title>3.2.7. Determination of Land Area for PV Installation</title><p>The surface area of one 315-watts solar panel = Length &#215; Breadth (31)</p><p>The dimension of the panel is 77.00 &#215; 39.05 inches. Converting the dimension to sqm will yield 1.96 &#215; 0.991.</p><p>The total land area required to mount the 232 PV panels will be 1.96 &#215; 0.991 &#215; 232 = 450.6 m<sup>2</sup>.</p></sec><sec id="s3_2_8"><title>3.2.8. Cost Estimation</title><p>Hence you have a project you need also to calculate the money required to run your project. In our PV system the cost estimation equal to the sum of cost of components, cost of balance of system component and the maintenance cost of the PV system per year.</p></sec><sec id="s3_2_9"><title>3.2.9. Payback Period</title><p>The number of years required to return the initial investment through positive annual cash flow is called Payback Period. In 10 years, the profits together have paid back your original investment, and hence the payback period is 10 years. The payback period helps determine whether to go forward with a project or not. Most PV systems come with a warranty period of 25 years. So, while calculating the potential savings, we’ve to consider a span of 25 years.</p><p>Total expenditure = N69,583,950.00 (The total cost of investment from</p><p><xref ref-type="table" rid="table4">Table 4</xref>);</p><p>Total savings = N9,402,832.7 (The annual current electricity bill</p><p>from <xref ref-type="table" rid="table2">Table 2</xref>);</p><p>-</p><p>N2,286,410.3 (The annual recommended electricity bill from <xref ref-type="table" rid="table2">Table 2</xref>);</p><p>N7,116,422.40.</p><p>Payback period = Total Expenditure ( N ) Total Savings = 69583950.00 7116422.40 = 9.778 (32)</p><p>The number of years required to return the initial investment through positive annual cash flow is: 10 years.</p></sec></sec></sec><sec id="s4"><title>4. Results and Discussion</title><p>The simulation was carried out using Bluesol software. The obtained simulation results are illustrated in the following tables and figures as discussed hereafter.</p><p><xref ref-type="table" rid="table5">Table 5</xref> shows the monthly average daily irradiation and the number of days which make up the twelve months of the year. It also determined the value of the annual global irradiation on a horizontal surface for the location of Owerri North (Imo). This value is equal to 1536.65 kWh/m<sup>2</sup>. <xref ref-type="fig" rid="fig2">Figure 2</xref> shows Bar chart of the energy produced monthly. The Bar chart recorded highest energy production of 59917.1 kWh in the month January followed by 57149.7 kWh in Dec respectively.</p><p>Figure3 represents the P-V characteristics of the PV module, from the graph it can be deduced that maximum power is approximately 400 W and it occurs at a current of 6.6 A and voltage at 60 V. Figure4 represents the I-V characteristics of the PV module. From the Figureit is realized that the short circuit current of PV module is approximately 9.0 A and open circuit voltage is approximately 64.0 V.</p><p><xref ref-type="fig" rid="fig5">Figure 5</xref> shows the effect of variation of solar irradiation on P-V characteristics. Variation in Solar irradiation effects mostly on current. In <xref ref-type="fig" rid="fig6">Figure 6</xref>, change in solar irradiation on I-V increases, short circuit current also increases. Variation in Solar irradiation effects mostly on current from 4.0 A to 10.1 A approximately but effect of variation of solar irradiation on voltage is very less.</p><p><xref ref-type="fig" rid="fig7">Figure 7</xref> shows the Bar chart of average monthly irradiance both (Direct and Diffuse) of Owerri North the location of the station.</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Cost estimate for setting up solar PV system</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >S/n</th><th align="center" valign="middle" >Device</th><th align="center" valign="middle" >Model</th><th align="center" valign="middle" >Qty</th><th align="center" valign="middle" >Unit price (N)</th><th align="center" valign="middle" >Total amt (N)</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Batteries</td><td align="center" valign="middle" >2 V, 1000 Ah</td><td align="center" valign="middle" >16</td><td align="center" valign="middle" >70,000</td><td align="center" valign="middle" >1,120,000.00</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >PV panels</td><td align="center" valign="middle" >315 sun power</td><td align="center" valign="middle" >232</td><td align="center" valign="middle" >207,000</td><td align="center" valign="middle" >48,024,000.00</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >Charge controller</td><td align="center" valign="middle" >60 A, 48 V</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >239,950</td><td align="center" valign="middle" >239,950.00</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >Inverter</td><td align="center" valign="middle" >3 phase ABB 50 kW</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1,000,000</td><td align="center" valign="middle" >1,000,000.00</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >Combiner boxes</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >232</td><td align="center" valign="middle" >50,000</td><td align="center" valign="middle" >11,600,000.00</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >Panel rack</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >42</td><td align="center" valign="middle" >100,000</td><td align="center" valign="middle" >4,200,000.00</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >Battery rack</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >8</td><td align="center" valign="middle" >100,000</td><td align="center" valign="middle" >800,000.00</td></tr><tr><td align="center" valign="middle" >8</td><td align="center" valign="middle" >AC breaker</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >200,000</td><td align="center" valign="middle" >400,000.00</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >Isolator switch</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >200,000</td><td align="center" valign="middle" >200,000.00</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >Bus bar unit</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >2,000,000</td><td align="center" valign="middle" >2,000,000.00</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle"  colspan="4"  >Total cost</td><td align="center" valign="middle" >69,583,950.00</td></tr></tbody></table></table-wrap><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Daily irradiation on horizontal surface</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Month</th><th align="center" valign="middle" >Diffuse daily (kWh/m<sup>2</sup>)</th><th align="center" valign="middle" >Direct daily (kWh/m<sup>2</sup>)</th><th align="center" valign="middle" >Global daily (kWh/m<sup>2</sup>)</th></tr></thead><tr><td align="center" valign="middle" >January</td><td align="center" valign="middle" >1.87</td><td align="center" valign="middle" >3.33</td><td align="center" valign="middle" >5.20</td></tr><tr><td align="center" valign="middle" >February</td><td align="center" valign="middle" >2.08</td><td align="center" valign="middle" >3.16</td><td align="center" valign="middle" >5.24</td></tr><tr><td align="center" valign="middle" >March</td><td align="center" valign="middle" >2.29</td><td align="center" valign="middle" >2.51</td><td align="center" valign="middle" >4.80</td></tr><tr><td align="center" valign="middle" >April</td><td align="center" valign="middle" >2.30</td><td align="center" valign="middle" >2.30</td><td align="center" valign="middle" >4.60</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >2.17</td><td align="center" valign="middle" >2.06</td><td align="center" valign="middle" >4.23</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >2.04</td><td align="center" valign="middle" >1.50</td><td align="center" valign="middle" >3.54</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >2.02</td><td align="center" valign="middle" >1.22</td><td align="center" valign="middle" >3.24</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >2.12</td><td align="center" valign="middle" >1.30</td><td align="center" valign="middle" >3.42</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >2.18</td><td align="center" valign="middle" >1.25</td><td align="center" valign="middle" >3.43</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >2.15</td><td align="center" valign="middle" >1.53</td><td align="center" valign="middle" >3.68</td></tr><tr><td align="center" valign="middle" >November</td><td align="center" valign="middle" >2.04</td><td align="center" valign="middle" >2.17</td><td align="center" valign="middle" >4.21</td></tr><tr><td align="center" valign="middle" >December</td><td align="center" valign="middle" >1.85</td><td align="center" valign="middle" >3.10</td><td align="center" valign="middle" >4.95</td></tr><tr><td align="center" valign="middle" >Yearly</td><td align="center" valign="middle" >762.85</td><td align="center" valign="middle" >773.80</td><td align="center" valign="middle" >1536.65</td></tr></tbody></table></table-wrap></sec><sec id="s5"><title>5. Conclusion</title><p>Energy audit and performance evaluation of standalone PV system “a case study of heartland FM station” was successfully conducted. The calculation of the required components needed to meet the energy demand was obtained. The results yielded an annual energy production of 510,976.79 kWh and with total annual global irradiance of 1536.65 kWh/m<sup>2</sup>. The annual electricity bill dropped reasonably from N9,402,832.71 to N2,286,410.3 between the current and recommended load, saving a total sum of N7,116,422.40 annually, which is a clear indication that energy audit actually reduced the cost of electricity consumption. The estimated costs of the realization of plant amounted to N69,583,950.00. It means that with a payback period of 10 years, the total amount spent on the realization of the project must have been recovered.</p></sec><sec id="s6"><title>6. Recommendations</title><p>The paper strongly recommends the following:</p><p>• Replacement of the obsolete equipment likes transmitter and air-conditioners that account for a big chunk of the broadcasting house monthly utility bill. Due to recent technological advancement most appliances don’t consume energy the way older models do because they meet minimum federal energy efficiency standards. These standards have been tightened over the years, so any new appliance purchased these days, consume less energy than the model purchased 10 years ago. For instance, if you buy one of today’s most energy-efficient air conditioner (Inverter AC or Digital Transmitter, it will use less than half the energy of a model that is 10 years older;</p><p>• Lighting: The use of Light emitting diodes bulbs (LED bulbs) other than filament bulbs it highly recommended;</p><p>• Changing our attitude of switching electrical equipment off at the mains rather than leaving it on standby, turning off lights when they’re not being used;</p><p>• Turn off the monitor; this device alone uses more than half the system’s energy;</p><p>• Screen savers save computer screens, not energy;</p><p>• Laser printers use more electricity than inkjet printers;</p><p>• Adequate sensitization of everyone in the home, including children and domestic helpers on the importance of saving energy and how best they can behave to save it;</p><p>• Employ the use of automated systems such as light and motion sensors to save energy;</p><p>• Refrigerator: avoid running the refrigerators when its empty. Avoid frequent opening of refrigerator doors when on load.</p></sec><sec id="s7"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest.</p></sec><sec id="s8"><title>Cite this paper</title><p>Okwe, G.I., Okafor, E., Uzoechi, L. and Akwukwaegbu, I.O. (2022) Energy Audit Assessment of Standalone PV System (A Case Study of Heartland Radio Broadcasting Station). Open Access Library Journal, 9: e8338. https://doi.org/10.4236/oalib.1108338</p></sec></body><back><ref-list><title>References</title><ref id="scirp.116204-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Ikeme, J. and Ebohon, J.O. (2005) Nigeria’s Electric Power Sector Reform: What Should from the Key Objectives? Energy Policy, 33, 1213-1221.  
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