<?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.1101903</article-id><article-id pub-id-type="publisher-id">OALibJ-68649</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>
 
 
  Design and Analysis of Solar Energy Mini-Grid for Rural Electrification
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Michael</surname><given-names>Juma Saulo</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Victor</surname><given-names>Odhiambo Omondi</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Electrical and Electronics Engineering, Technical University of Mombasa, Mombasa, Kenya</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>michaelsaulo@yahoo.com(MJS)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>30</day><month>09</month><year>2015</year></pub-date><volume>02</volume><issue>09</issue><fpage>1</fpage><lpage>10</lpage><history><date date-type="received"><day>7</day>	<month>September</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>22</month>	<year>September</year>	</date><date date-type="accepted"><day>28</day>	<month>September</month>	<year>2015</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>
 
 
   
   Electric power is a key driver of economic growth and prosperity. But access to electricity still remains a distant dream for majority of the population living in the remote and arid areas of developing countries mostly sub-Saharan Africa. With the growing demand for safe and reliable energy, solar as a source of energy remains the least utilized energy source in the Kenyan economy and yet one of the safest forms of energy. Solar photovoltaic (PV) systems have shown their potential in rural electrification projects around the world. A solar based mini-grid is a solar PV (photovoltaic) plant with a localized distribution network to a unit village, or a cluster of villages, providing alternating current (AC). Basically it consists of solar PV modules of a certain capacity, solar inverters for converting the D.C power to AC power, housing for the battery bank and plant control systems. In areas where there is no grid connection or where diesel generation is the main power source, PV plants are able to generate electricity efficiently and relatively cheap. This paper was aimed at developing a standard procedure for the design and analysis of a mini-grid connected solar PV systems using PV modules connected in an array field. The standard procedure developed was validated in the design of a 20 kVA mini-grid-connected solar PV system for Nanyuki town in Laikipia County, Kenya. The analysis and evaluation of the load capacity requirements for the solar mini-grid were done. Data collected from SWERA were compared with the local load requirements. Optimization of the load versus production capacity of the solar system was carried out
   .
    The results showed that a mini-grid system of 20 kVA might be developed at a capital cost of US$ 56,000 to cater for 8400 households including a school and dispensary. Analyses of the simulation results show that the project when implemented will supply about 61 KW&#183;h electricity per day or 22.2 MWh annually, which is about 15% of Nanyuki’s annual electricity consumption. The project also stands the chance of saving about 200 tonnes of CO
   <sub style="line-height:1.5;">2</sub>
    which will have been emitted by a crude oil fired thermal power plant generating the same amount of electricity. At the prevailing tariff conditions in the country, this project can be considered as financially viable with feed-in tariff scheme or other incentives such as grants/capital subsidies when applied. However, the other non-financial benefits like the greenhouse gas emissions savings can, in the long run, help mitigate the adverse effects of the climate change problem plaguing the entire earth. 
  
 
</p></abstract><kwd-group><kwd>Mini-Grid</kwd><kwd> Photovoltaic (PV)</kwd><kwd> Rural Electrification Program</kwd><kwd> SWERA</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Electric power is a key driver of economic growth and prosperity. But access to electricity still remains a distant dream for majority of the population living in the remote and arid areas of developing countries. With the growing demand for safe and reliable energy, solar as a source of energy remains the least utilized energy source in the Kenyan economy and yet one of the safest forms of energy.</p><p>In 2010 the average rural energy consumption in Kenya stood at 1764 KW∙h with 164,133 customers connected to the main grid. This in turn gave an annual consumption of 290 GWh [<xref ref-type="bibr" rid="scirp.68649-ref1">1</xref>] . It is estimated that 200,000 photovoltaic solar home systems, most of which are rated between 10 We and 20 We estimated at a cost of US$ 100/We, are currently in use in Kenya and generate 9 GWh of electricity annually [<xref ref-type="bibr" rid="scirp.68649-ref1">1</xref>] . Kenya has great potential for the use of solar energy throughout the year. A current rural population of 4 million households in Kenya alone clearly shows that there is a lot to be done with regard to rural electrification so as to cover up the wide gap between the supplied households and the growing rural population. There is significant potential for solar energy to be exploited in most parts of Kenya which experience up to over 6 hours of direct sunlight a day. Substantial research has been done over the years on exploiting the huge solar energy resource [<xref ref-type="bibr" rid="scirp.68649-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.68649-ref3">3</xref>] .</p><p>In Kenya, only 1.2% of the households utilize individual solar PV panels for smaller loads, i.e. lighting and powering TV sets and radios. But most of these are stand-alone PV installations. Photovoltaic panels have shown its potential as a technology for decentralized rural electrification and as a means to improve access to electricity in rural areas of developing countries.</p><p>Over the last 3 years, the number of home systems installed has grown at an average of 20,000 units per annum and demand projected to reach 22 GWh annually in the year 2020 [<xref ref-type="bibr" rid="scirp.68649-ref4">4</xref>] . Given that there are 4 million households in rural Kenya alone, the demand for power has grown tremendously by the day.</p><p>Photovoltaic (PV) systems are composed of interconnected components designed to accomplish specific goals, ranging from powering a small device to feeding electricity into the main distribution grid. More specifically, PV devices convert sunlight into DC electricity. Such energy is transferred to the load or to the utility grid by means of a subsystem [<xref ref-type="bibr" rid="scirp.68649-ref5">5</xref>] .</p><p>There are two main classifications:</p><p>1) Stand-alone systems;</p><p>2) Grid connected systems.</p><p>The main distinguishing factor between these two categories is that in stand-alone systems the solar energy output is matched with the load demand. When a PV system is interconnected with the main grid, it may deliver excess energy to the grid or use the grid as a backup system, in case of insufficient photovoltaic generation. Stand-alone systems are mostly used in the cases of rural electrification [<xref ref-type="bibr" rid="scirp.68649-ref6">6</xref>] .</p><p>Currently Kenya generates a total of 1633 MW of power from various sources. The peak demand however stands at 1780 MW with numerous efforts being made to meet this rising demand [<xref ref-type="bibr" rid="scirp.68649-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.68649-ref4">4</xref>] . The core of these demands is the need for energy generation sources that are environmental friendly, reliable and efficient at the same time. This narrows down to solar and wind energy sources. This paper proposes a base study of Laikipia County precisely focusing on Nanyuki area. It experiences direct normal irradiance levels of 5 KW/m<sup>2</sup> and has a population density of about 35,000 people.</p><p>Solar mini-grids are an ideal alternative to grid electricity in remote villages that do not have grid connectivity. And because mini-grids are independent entities, they can also be controlled and managed without presenting threats to the conventional grid [<xref ref-type="bibr" rid="scirp.68649-ref7">7</xref>] . Such distributed energy systems also provide more reliable electricity, as any outages or interruptions to electricity supply can be quickly identified and corrected. Additionally, having the site of power generation closer to the load also reduces transmission and distribution losses.</p><p>Power transmission and distribution in rural areas of Kenya (arid and semi-arid) are currently constant but with a slow growth rate, hence lagging economic and social development in such areas with regard to vision 2030.</p><p>Generally this project work aims at helping the power generating and distributing companies to have alternative options for power generation for rural electrification program (REP) as they seek to increase the supply capacity and expand power connections to every household through both grid and off-grid systems hence proposal for a solar mini-grid development.</p><p>In the event of a needed back-up or an alternative supply to the region, a diesel generator is proposed to supply power to the region. This paper has three distinct objectives stated as follows:</p><p>・ To evaluate the load power consumed by the rural village setting through analysis of possible loads contained per setting and estimating the consumption over a pre-determined period so as to serve as the base reference point for the capacity of the proposed mini-grid;</p><p>・ To analyze and evaluate the load capacity requirements of the solar mini-grid through data comparison with the domestic load requirements of the total considered loads estimated to be covered by the solar mini-grid supply and optimize on the production capacity;</p><p>・ To propose the development of a solar power mini-grid in the viable areas identified through simulation of the mini-grid using HOMER software to bring a real picture of the proposed model and also evaluate its economic value and viability.</p></sec><sec id="s2"><title>2. Climatic Data and Electric Loads Details</title><p>Nanyuki is a market town in Laikipia County of Kenya lying north-west of Mount Kenya. It is situated just north of the Equator (0˚01' North). It covers an area of 9462 km<sup>2</sup>.</p><p>The region’s climatic data can be best described by the data shown in <xref ref-type="table" rid="table1">Table 1</xref>. It is characterized by high daily solar irradiance values which make it suitable for solar power generation. The average daily solar irradiance is 5.53 KW/m<sup>2</sup>/day but for accurate simulation data an average of the past four years was obtained and used in this case so as to be able to predict the trend for the coming years the project will be in operation [<xref ref-type="bibr" rid="scirp.68649-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.68649-ref9">9</xref>] . Similar data is also used in the simulations.</p><p>The data is also in comparison with existing information on rural electrification. This is done so as to reduce the disparity and improve on its accuracy which would allow for feasibility of the project during simulation and analysis.</p><p>The loads in each of the setting above differ due to the nature of application hence different appliances have been considered in relation to the setting, the bottom line being the actual power rating of each appliance was taken.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Total daily average solar data for the past four years</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >2010</th><th align="center" valign="middle" >2011</th><th align="center" valign="middle" >2012</th><th align="center" valign="middle" >2013</th><th align="center" valign="middle" >Avrg.</th><th align="center" valign="middle" ></th></tr></thead><tr><td align="center" valign="middle" >January</td><td align="center" valign="middle" >6.289</td><td align="center" valign="middle" >6.61</td><td align="center" valign="middle" >6.964</td><td align="center" valign="middle" >6.591</td><td align="center" valign="middle" >6.613</td></tr><tr><td align="center" valign="middle" >February</td><td align="center" valign="middle" >6.403</td><td align="center" valign="middle" >7.07</td><td align="center" valign="middle" >6.847</td><td align="center" valign="middle" >7.136</td><td align="center" valign="middle" >6.864</td></tr><tr><td align="center" valign="middle" >March</td><td align="center" valign="middle" >6.129</td><td align="center" valign="middle" >6.996</td><td align="center" valign="middle" >7.116</td><td align="center" valign="middle" >6.302</td><td align="center" valign="middle" >6.635</td></tr><tr><td align="center" valign="middle" >April</td><td align="center" valign="middle" >6.076</td><td align="center" valign="middle" >6.491</td><td align="center" valign="middle" >5.764</td><td align="center" valign="middle" >6.024</td><td align="center" valign="middle" >6.088</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >6.18</td><td align="center" valign="middle" >6.229</td><td align="center" valign="middle" >6.092</td><td align="center" valign="middle" >6.498</td><td align="center" valign="middle" >6.249</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >5.84</td><td align="center" valign="middle" >5.943</td><td align="center" valign="middle" >5.906</td><td align="center" valign="middle" >5.631</td><td align="center" valign="middle" >5.83</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >5.52</td><td align="center" valign="middle" >6.052</td><td align="center" valign="middle" >5.464</td><td align="center" valign="middle" >5.489</td><td align="center" valign="middle" >5.905</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >5.78</td><td align="center" valign="middle" >6.054</td><td align="center" valign="middle" >5.8966</td><td align="center" valign="middle" >5.889</td><td align="center" valign="middle" >5.905</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >6.67</td><td align="center" valign="middle" >6.386</td><td align="center" valign="middle" >6.686</td><td align="center" valign="middle" >6.674</td><td align="center" valign="middle" >6.604</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >6.402</td><td align="center" valign="middle" >5.937</td><td align="center" valign="middle" >6.29</td><td align="center" valign="middle" >6.475</td><td align="center" valign="middle" >6.276</td></tr><tr><td align="center" valign="middle" >November</td><td align="center" valign="middle" >5.681</td><td align="center" valign="middle" >5.58</td><td align="center" valign="middle" >5.788</td><td align="center" valign="middle" >5.31</td><td align="center" valign="middle" >5.589</td></tr><tr><td align="center" valign="middle" >December</td><td align="center" valign="middle" >6.33</td><td align="center" valign="middle" >6.148</td><td align="center" valign="middle" >5.751</td><td align="center" valign="middle" >5.657</td><td align="center" valign="middle" >5.971</td></tr></tbody></table></table-wrap><p>Total Average = 6.1879 KW∙h/M<sup>2</sup>/day.</p><p>For practical reasons, a complete village setting was taken which included households, a local school, dispensary and a shopping Centre. However in this paper and for feasible simulation purposes only the local dispensary and the school were considered.</p><p><xref ref-type="table" rid="table2">Table 2</xref> and <xref ref-type="table" rid="table3">Table 3</xref> show the load consideration for the local school and the dispensary respectively. While <xref ref-type="table" rid="table4">Table 4</xref> shows the total load distribution of village set up. <xref ref-type="fig" rid="fig1">Figure 1</xref> is the global horizon irradiance of Nanyuki area while <xref ref-type="fig" rid="fig2">Figure 2</xref> is the load curve profile for both the school and the dispensary.</p><p>Total generated power =178.4 KW &#180; 1.3 = 231.92 KW. Hence a whole number of 240 KW was taken for a module.</p><sec id="s2_1"><title>2.1. BP 3220 PV Module (220 Watts)</title><p>The BP 3220 is an advanced polycrystalline solar module that incorporates anti-reflective coated cells and glass to generate more energy (more KW∙h per kWp). <xref ref-type="table" rid="table5">Table 5</xref> shows the electrical characteristics of the module.</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Load distribution of the local school</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Load Type</th><th align="center" valign="middle" >Operation Time (Hours)</th><th align="center" valign="middle" >Power Rating (Watts)</th><th align="center" valign="middle" >Total Number</th><th align="center" valign="middle" >Total Power (Watts)</th><th align="center" valign="middle" >Consumption in Kilowatt-Hour</th></tr></thead><tr><td align="center" valign="middle" >E.S Lamps</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >50</td><td align="center" valign="middle" >2000</td><td align="center" valign="middle" >6</td></tr><tr><td align="center" valign="middle" >Incandescent Lamps (Security)</td><td align="center" valign="middle" >12</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >300</td><td align="center" valign="middle" >3.6</td></tr><tr><td align="center" valign="middle" >Desktop Computers</td><td align="center" valign="middle" >8</td><td align="center" valign="middle" >150</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >600</td><td align="center" valign="middle" >4.8</td></tr><tr><td align="center" valign="middle" >Printer</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >120</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >120</td><td align="center" valign="middle" >0.048</td></tr><tr><td align="center" valign="middle" >Photocopying Machine</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >180</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >180</td><td align="center" valign="middle" >0.027</td></tr><tr><td align="center" valign="middle" >Water Pump</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >1100</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1100</td><td align="center" valign="middle" >4.4</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >5040</td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Load distribution of the dispensary</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Load Type</th><th align="center" valign="middle" >Operation Time (Hours)</th><th align="center" valign="middle" >Power Rating (Watts)</th><th align="center" valign="middle" >Total Number</th><th align="center" valign="middle" >Total Power (Watts)</th><th align="center" valign="middle" >Consumption in Kilowatt-Hour</th></tr></thead><tr><td align="center" valign="middle" >E.S Lamps</td><td align="center" valign="middle" >18</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >18</td><td align="center" valign="middle" >720</td><td align="center" valign="middle" >12.96</td></tr><tr><td align="center" valign="middle" >Incandescent Lamps (Security)</td><td align="center" valign="middle" >12</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >240</td><td align="center" valign="middle" >2.88</td></tr><tr><td align="center" valign="middle" >Desktop Computers</td><td align="center" valign="middle" >8</td><td align="center" valign="middle" >150</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >150</td><td align="center" valign="middle" >1.2</td></tr><tr><td align="center" valign="middle" >Refrigeration</td><td align="center" valign="middle" >24</td><td align="center" valign="middle" >300</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >300</td><td align="center" valign="middle" >7.2</td></tr><tr><td align="center" valign="middle" >Autoclave</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >450</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >450</td><td align="center" valign="middle" >1.8</td></tr><tr><td align="center" valign="middle" >Medical Centrifuge</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >0.4</td></tr><tr><td align="center" valign="middle" >Water Pump</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >1100</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1100</td><td align="center" valign="middle" >4.4</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >3060</td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Total load consideration of the village</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Total (KW)</th><th align="center" valign="middle" >Total KW∙h/d</th></tr></thead><tr><td align="center" valign="middle" >Local Primary School</td><td align="center" valign="middle" >5.04</td><td align="center" valign="middle" >36</td></tr><tr><td align="center" valign="middle" >Local Dispensary</td><td align="center" valign="middle" >3.06</td><td align="center" valign="middle" >25</td></tr><tr><td align="center" valign="middle" >Households (50 Houses )</td><td align="center" valign="middle" >154.05</td><td align="center" valign="middle" >687</td></tr><tr><td align="center" valign="middle" >Commercial Center</td><td align="center" valign="middle" >16.258</td><td align="center" valign="middle" >193</td></tr></tbody></table></table-wrap><p>Total generated power = 178.4 KW &#180; 1.3 = 231.92 KW. Hence a whole number of 240 KW was taken for a module.</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Global horizon irradiance of Nanyuki area</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x5.png"/></fig><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Load curve for the combined school plus dispensary</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x6.png"/></fig><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> BP 3220 PV module (220 Watts)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Electrical Characteristics</th><th align="center" valign="middle" >Standard Test Conditions at 1000 W/M<sup>2</sup></th></tr></thead><tr><td align="center" valign="middle" >Maximum Power (P<sub>max</sub>)</td><td align="center" valign="middle" >220 W</td></tr><tr><td align="center" valign="middle" >Voltage at MPP (V<sub>mpp</sub>)</td><td align="center" valign="middle" >29.0 V</td></tr><tr><td align="center" valign="middle" >Current at MPP (I<sub>mpp</sub>)</td><td align="center" valign="middle" >7.6 A</td></tr><tr><td align="center" valign="middle" >Nominal Voltage</td><td align="center" valign="middle" >24 V</td></tr><tr><td align="center" valign="middle" >Short Circuit Current (I<sub>sc</sub>)</td><td align="center" valign="middle" >8.4 A</td></tr><tr><td align="center" valign="middle" >Open Circuit Voltage (V<sub>oc</sub>)</td><td align="center" valign="middle" >36.2 V</td></tr><tr><td align="center" valign="middle" >Efficiency at 1000 W/M<sup>2</sup></td><td align="center" valign="middle" >13.20%</td></tr></tbody></table></table-wrap><p>The Mechanical characteristics of the BP 3220 PV module (220 Watts) are indicated below:</p><p>Solar cells 60 polycrystalline cells (each 156 mm &#215; 156 mm);</p><p>Dimensions 1.7 m &#215; 1.0 m &#215; 0.5 m.</p><p>For the total number of panels required we calculate using the total array watt peak formula,</p><disp-formula id="scirp.68649-formula777"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68649x7.png"  xlink:type="simple"/></disp-formula><p>where: Wp―total array watt peak;</p><p>1.3―load loss allowance factor;</p><p>Panel generation factor―a value between 3 and 4.</p><p>Hence for this system the total KW∙h per day is</p><p>36 + 25 = 61 KW∙h</p><disp-formula id="scirp.68649-formula778"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68649x8.png"  xlink:type="simple"/></disp-formula><p>Hence to obtain the total number of solar panels we divide this value by the peak watt power of one panel, i.e. panel rating</p><disp-formula id="scirp.68649-formula779"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68649x9.png"  xlink:type="simple"/></disp-formula><p>The PV sizing of the system categories can be shown as follows:</p><p>For the system land sizing of the panels,</p><p>Each panel dimension = 1.7 meters &#215; 1.0 meters</p><p>Panel area = 1.7 m<sup>2</sup></p><p>Taking a spacing of 1 m for each panel ? 1.7 m + 1 m = 2.7 m</p><p>So each panel area = 2.7 m<sup>2</sup></p><p>For 104 solar panels, total area is</p><disp-formula id="scirp.68649-formula780"><graphic  xlink:href="http://html.scirp.org/file/68649x10.png"  xlink:type="simple"/></disp-formula><p>Total required area = 280.8 m<sup>2</sup> = 0.07 acres</p><p><xref ref-type="fig" rid="fig3">Figure 3</xref> shows an ideal monthly average electrical production of the system which commiserates to the irradiance of the region under study as shown earlier in <xref ref-type="table" rid="table1">Table 1</xref>. <xref ref-type="fig" rid="fig4">Figure 4</xref> is the PV output of the system per year based on the irradiance received on the PV, while <xref ref-type="fig" rid="fig5">Figure 5</xref> is the Homer software simulation model for the school and the dispensary.</p></sec><sec id="s2_2"><title>2.2. Battery Storage and Inverters</title><p>The battery storage selected for this system are deep cycle batteries, Surrette 5000 series deep cycle-battery is chosen for this purpose. Electrical characteristics of this battery are shown in <xref ref-type="table" rid="table6">Table 6</xref>.</p><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Monthly average electric production</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x11.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> PV output of the system</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x12.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Simulation for the local school and dispensary</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x13.png"/></fig><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Battery characteristics</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Nominal Capacity</th><th align="center" valign="middle" >1900 Ah</th></tr></thead><tr><td align="center" valign="middle" >Nominal Voltage</td><td align="center" valign="middle" >4 V</td></tr><tr><td align="center" valign="middle" >Round trip Efficiency</td><td align="center" valign="middle" >80%</td></tr><tr><td align="center" valign="middle" >Minimum State of Charge</td><td align="center" valign="middle" >40%</td></tr><tr><td align="center" valign="middle" >Float Life</td><td align="center" valign="middle" >15 Years</td></tr><tr><td align="center" valign="middle" >Maximum Charge Rate</td><td align="center" valign="middle" >1 A/Ah</td></tr><tr><td align="center" valign="middle" >Maximum Charge Current</td><td align="center" valign="middle" >67.5 A</td></tr><tr><td align="center" valign="middle" >Lifetime Throughput</td><td align="center" valign="middle" >10,569 KW∙h</td></tr><tr><td align="center" valign="middle" >Maximum Capacity</td><td align="center" valign="middle" >1887 Ah</td></tr></tbody></table></table-wrap><p>The analysis of the battery calculation can be demonstrated as shown below from equation (4) to (6). For the dispensary plus the school (critical loads), their battery capacity is as shown below</p><p>The energy in the battery is ?18,211 KW∙h/year</p><p>Losses―3541 KW∙h/year</p><disp-formula id="scirp.68649-formula781"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68649x14.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.68649-formula782"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68649x15.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.68649-formula783"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/68649x16.png"  xlink:type="simple"/></disp-formula><p>14 = days of autonomy as from HOMER</p><p>0.85 = battery losses</p><p>0.7 = depth of discharge</p><p>4 = Nominal battery voltage</p><p>In this system a central inverter system is adopted due to its simplicity in nature. Inverters are usually rated in VA and have a lifespan of 15 years with 75% efficiency. The inverter capacity is calculated as follows:</p><p>Total generated power ?8.1 KW, power factor of the system ?0.8</p><p>8.1/0.8 = 10.125 kVA = 11 kVA</p><p>So for the system an inverter capacity combination of 11 kVA or more but with an output voltage of 240 V.</p><p>Pan power inverters that are proposed, a DC to 3-phase AC power inverter that incorporates the characteristics shown in <xref ref-type="table" rid="table7">Table 7</xref>.</p><p>In the event of an emergency backup, a diesel generator may be provided. <xref ref-type="fig" rid="fig6">Figure 6</xref> shows the model for the generator simulation. The simulation and analysis is as shown below. The generator capacity was rated 16 KW which is the value similar to the peak load of this setting, hence the diesel generator capacity is; 16 KW/0.8 = 20 kVA (0.8 = power factor). This shows that a generator capacity of 20 kVA is required.</p><p><xref ref-type="fig" rid="fig7">Figure 7</xref> shows the plot of the AC load curve versus the generator output power. As depicted by the figure,</p><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Simulation of the system with a diesel generator</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x17.png"/></fig><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Shows the plot of the AC load curve (purple) versus the generator output power (red)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/68649x18.png"/></fig><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> Datasheet for pan power 3-phase inverter</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Output Power</th><th align="center" valign="middle" >5 KW - 12 KW</th></tr></thead><tr><td align="center" valign="middle" >Output Frequency</td><td align="center" valign="middle" >50 Hz</td></tr><tr><td align="center" valign="middle" >Input Voltage</td><td align="center" valign="middle" >48 V DC</td></tr><tr><td align="center" valign="middle" >Waveform</td><td align="center" valign="middle" >Pure Sine Wave</td></tr><tr><td align="center" valign="middle" >Maximum Efficiency</td><td align="center" valign="middle" >80% (at 100% Load)</td></tr><tr><td align="center" valign="middle" >Power Factor</td><td align="center" valign="middle" >0.8</td></tr><tr><td align="center" valign="middle" >Battery</td><td align="center" valign="middle" >Lead-Acid Batteries</td></tr></tbody></table></table-wrap><p>the system can be sustained using a diesel generator of 20 kVA. It is import to note that the generator is used for backup purposes. In other words it is only used when the Solar system is unable to supply the required power. <xref ref-type="table" rid="table8">Table 8</xref> shows the various electric production ranges of generator output.</p></sec></sec><sec id="s3"><title>3. Economic Analysis</title><p>The economic analysis of the 20 kVA mini-grid solar PV system was carried out to assess the cost and intended benefits of the project. It was carried out with the help of RET Screen software. The software is easy to use and has the capability of simulating the net present value and simple payback period as well as estimating the greenhouse gas saving potential of renewable energy projects over their entire operational life [<xref ref-type="bibr" rid="scirp.68649-ref10">10</xref>] . The NPV and simple payback period will help determine how feasible the project will be. The total investment cost comprises the following components; module, inverter, cables, mounting structures, engineering and project management, labour and miscellaneous costs. The costs of the various solar PV components used for this study were international estimates taken from renowned online solar PV research firms such as Solar buzz (solar market research and analysis), Solar Server (an online portal to solar energy) and Genentech Media Inc. [<xref ref-type="bibr" rid="scirp.68649-ref10">10</xref>] . The module and inverter cost alone makes up about 76% of the total investment cost. <xref ref-type="table" rid="table8">Table 8</xref> contains a breakdown of the total investment cost. The total investment cost for the 20 kVA project is estimated at US$ 1,200,000. The economic analysis for this work was done by first developing a base case scenario consisting of the present electricity cost and other financial parameters. Subsequent scenarios were then developed from this base case to help analyze the implications of the various financing options on the project. Some of the options considered include grants/ capital subsidies, feed-in tariffs (FiT) and carbon credit financing. The parameters used to develop the base case include: It is interesting to note that, the base case scenario results in a simple payback period of about 10 years, which is more than twice the project life. However, applying a feed-in tariff scheme to the base case scenario indicates that it is possible for the project to be paid for within its lifetime with a feet-in tariff of about US$ 0.20/KW∙h [<xref ref-type="bibr" rid="scirp.68649-ref11">11</xref>] .</p><p>For the systems costs the following were the systems cost considerations. The cost are in US$ but converted to Ksh at the exchange rate of 1 US$ = 85 Ksh</p><p>PV panel―1 Watt = 1.42 US$ = Ksh 120.00</p><p>Converter―3 KW = 1400 US$ = Ksh 119,000.00</p><p>Battery―1 battery = 1250 US$ = Ksh 106,250.00</p><p>Generator―16 KW/20 kVA = 3000 US$ = Ksh 255,000.00</p><p>Hence the whole system cost is shown in <xref ref-type="table" rid="table9">Table 9</xref>. Note that the cabling and maintenance cost are taken as 20 and 15 percentage respectively of the total cost. In this paper, only the capital and replacement costs were considered leaving out the operation and maintenance since they vary with time considering the project duration hence difficult to predict future financial trends.</p><table-wrap id="table8" ><label><xref ref-type="table" rid="table8">Table 8</xref></label><caption><title> The electric production and range of output of the generator</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Quantity</th><th align="center" valign="middle" >Value/Units</th></tr></thead><tr><td align="center" valign="middle" >Electrical Production</td><td align="center" valign="middle" >29,310 KW∙h/yr</td></tr><tr><td align="center" valign="middle" >Mean Electrical Output</td><td align="center" valign="middle" >3.35 KW</td></tr><tr><td align="center" valign="middle" >Min Electrical Output</td><td align="center" valign="middle" >2.33 KW</td></tr><tr><td align="center" valign="middle" >Max Electrical Output</td><td align="center" valign="middle" >15.5 KW</td></tr></tbody></table></table-wrap><table-wrap id="table9" ><label><xref ref-type="table" rid="table9">Table 9</xref></label><caption><title> System cost</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Component</th><th align="center" valign="middle" >Capital Cost (US$)</th><th align="center" valign="middle" >Replacement Cost (US$)</th><th align="center" valign="middle" >Total Cost (US$)</th></tr></thead><tr><td align="center" valign="middle" >PV Panel</td><td align="center" valign="middle" >2160</td><td align="center" valign="middle" >2160</td><td align="center" valign="middle" >4320</td></tr><tr><td align="center" valign="middle" >Converter</td><td align="center" valign="middle" >793</td><td align="center" valign="middle" >793</td><td align="center" valign="middle" >1586</td></tr><tr><td align="center" valign="middle" >Battery</td><td align="center" valign="middle" >204</td><td align="center" valign="middle" >204</td><td align="center" valign="middle" >408</td></tr><tr><td align="center" valign="middle" >Generator</td><td align="center" valign="middle" >2550</td><td align="center" valign="middle" >2550</td><td align="center" valign="middle" >5100</td></tr><tr><td align="center" valign="middle" >Overall System Costs</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >11,414</td></tr></tbody></table></table-wrap></sec><sec id="s4"><title>4. Conclusion</title><p>The draft procedure developed touches on some very important issues to be considered in the design of the regional-scale mini-grid connected solar PV systems using a solar field. Notable among these design steps are the assessment of the solar radiation data for the location, the identification and assessment of the size of the field used, selection of solar PV system components and finally, designing the layout of the mini-grid connected PV system. In designing the 20 kVA grid-connected solar PV system for Nanyuki region in Kenya, the draft procedure developed was followed critically. A practical assessment of the various items was conducted and the lessons drawn from them used to update the draft procedure. At the end of the design of the 20 kVA mini-grid connected PV system for Nanyuki region in Kenya, a standard procedure should be developed which can be used to design large-scale grid-connected solar PV systems. Analyses of the simulation results show that the project when implemented will supply about 61 KW∙h electricity per day or 22.2 MWh annually, which is about 15% of Nanyuki annual electricity consumption. The project also stands the chance of saving about 200 tonnes of CO<sub>2</sub> which will have been emitted by a crude oil fired thermal power plant generating the same amount of electricity. At the prevailing tariff conditions in the country, this project can be considered as financially viable with feed-in tariff scheme or other incentives such as grants/capital subsidies when applied. However, the other non-financial benefits like the greenhouse gas emissions savings can, in the long run, help mitigate the adverse effects of the climate change problem plaguing the entire earth. This project undertaking should be considered a preliminary study to the development of PV systems on mini-grids in the implementation of rural electrification program in Kenya and perhaps parallels can be drawn in other regions in the country with similar viable characteristics. This paper has offered general and overall focus on the primary design and operation considerations proving the viability of establishing a solar mini-grid in Nanyuki area. The HOMER simulations helped to paint the feasibility picture of the mini-grid component structure, which hence proved viable.</p></sec><sec id="s5"><title>Cite this paper</title><p>Michael Juma Saulo,Victor Odhiambo Omondi, (2015) Design and Analysis of Solar Energy Mini-Grid for Rural Electrification. 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