<?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">SGRE</journal-id><journal-title-group><journal-title>Smart Grid and Renewable Energy</journal-title></journal-title-group><issn pub-type="epub">2151-481X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/sgre.2014.510022</article-id><article-id pub-id-type="publisher-id">SGRE-50419</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Modeling the Chain of Conversion for a PV System
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>ohammed</surname><given-names>El Alami</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>Mohamed</surname><given-names>Habibi</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>Seddik</surname><given-names>Bri</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>Electrical Engineering Department, High School of Technology, Moulay Ismail University, Meknes, Morocco</addr-line></aff><aff id="aff1"><addr-line>Laboratory of Systems and Telecommunications Engineering Decision, Sciences Faculty, Ibn tofail University, Kenitra, Morocco</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>elalami.ensa@gmail.com(OEA)</email>;<email>elalami.ensa@gmail.com(MH)</email>;<email>elalami.ensa@gmail.com(SB)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>13</day><month>10</month><year>2014</year></pub-date><volume>05</volume><issue>10</issue><fpage>239</fpage><lpage>248</lpage><history><date date-type="received"><day>1</day>	<month>August</month>	<year>2014</year></date><date date-type="rev-recd"><day>29</day>	<month>August</month>	<year>2014</year>	</date><date date-type="accepted"><day>8</day>	<month>September</month>	<year>2014</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>
 
 
  In this work, we conduct a study of modeling and simulation of a system in the context of renewable energy in general, and solar system “photovoltaic” in particular; also, the optimizing system adapted by DC-DC converters static. Then the influence of temperature and irradiance on the optimal parameters (Power of MPP, VMPP, ...) of a solar system is analyzed in a way to operate a PV generator at its maximum power. This system includes a photovoltaic generator, “Boost &amp; Buck”, converter and a load. Modeling and simulation system (solar panel, DC-DC converter command and load) is obtained through Matlab-Simulink software.
 
</p></abstract><kwd-group><kwd>Photovoltaic Panel</kwd><kwd> DC-DC Converter</kwd><kwd> The Maximum Power Point</kwd><kwd> Fill Factor</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The greater part of the energy consumed currently comes from the use of fossil fuels like oil, coal, natural gas or nuclear power. These resources become increasingly rare while the energy demands of the world amounted continuously. Since this form of energy covers a large part of the current energy production, it is necessary to find an alternative solution to take the relay. The constraint is to use a source of economic power and low emission as the protection of the environment has become an important point. Photovoltaic solar energy is the direct conversion of part of the solar radiation into electrical energy. This energy conversion is affected throughout photovoltaic cell based on a physical phenomenon called the photovoltaic effect, which is to produce a current when the surface of the cell is exposed to light. Science is naturally interested in the “renewable” resources. Photovoltaic solar energy is increasingly used in various terrestrial applications such as lighting and telecommunications [<xref ref-type="bibr" rid="scirp.50419-ref1">1</xref>] . The use of solar energy will provide electricity to isolated sites of electrical networks and avoid the creation of new electrical lines which generally requires a heavy investment.</p></sec><sec id="s2"><title>2. Modeling of the Photovoltaic System</title><p>The PV cell, also called solar cell, constitutes the basic element of the photovoltaic conversion. This is a semiconductor device that converts electric energy into light energy provided by an inexhaustible source of energy and the Sun. It exploits the properties of semiconductor materials used in the electronics industry: diodes, transistors and integrated circuits. <xref ref-type="fig" rid="fig1">Figure 1</xref> illustrates a typical PV cell where its formation is detailed. The performance of energy efficiency achieved industrially are 13% to 14% for the cells based on monocrystalline silicon, with 11% to 12% of poly crystalline silicon and finally 7% - 8% for the amorphous silicon by thin films [<xref ref-type="bibr" rid="scirp.50419-ref2">2</xref>] . The photopile or solar cell is the basic element of a photovoltaic generator, and the equivalent circuit of a PV cell is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. It includes a current source, a diode, a series resistance and a shunt resistance.</p><p>The photovoltaic effect is manifested when a photon is absorbed in a semiconductor material composed of doped p (positive) and n (negative), referred to as p-n junction (or n-p). Under the effect of doping, an electric field is present in the material permanently (like a magnet which has a permanent magnetic field) [<xref ref-type="bibr" rid="scirp.50419-ref3">3</xref>] . When an incident photon (grain of light) interacts with the electrons in the material, it transfers its energy to the electron hv which finds herself liberated from its valence band and therefore suffers the intrinsic electric field. Under the influence of this field, electron migrates toward the top surface leaving a hole that migrates in the reverse direction. Electrodes placed on the upper and lower surfaces allow the electrons to collect them and to make electrical work to join the anterior surface of the hole. A cell is often modeled by the electrical equivalent diagram it is he that is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, the photovoltaic generator is modeled by the following equations [<xref ref-type="bibr" rid="scirp.50419-ref4">4</xref>] :</p><disp-formula id="scirp.50419-formula229"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x5.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.50419-formula230"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x6.png"  xlink:type="simple"/></disp-formula><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Sch&#233;matic of a photovoltaic cell</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x7.png"/></fig><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Equivalent circuit of a PV cell</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x8.png"/></fig><p>with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x9.png" xlink:type="simple"/></inline-formula> is currently produced by the cells; <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x10.png" xlink:type="simple"/></inline-formula>is the saturation current; <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x11.png" xlink:type="simple"/></inline-formula>load electron; <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x12.png" xlink:type="simple"/></inline-formula>Boltzmann constant; T (˚C) is the operating temperature of the cell; A is a quality factor of the diode, normally between 1 and 2; <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x13.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x14.png" xlink:type="simple"/></inline-formula> are series and parallel resistors. After the determination of the various parameters of the equivalent circuit, it is possible to solve the equation of characteristic<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x15.png" xlink:type="simple"/></inline-formula>, and also to determine these characteristics (current<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x16.png" xlink:type="simple"/></inline-formula>, power<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x17.png" xlink:type="simple"/></inline-formula>) by numerical method.</p></sec><sec id="s3"><title>3. The Influence of Meteorological Conditions on the Performance of a PV System</title><p>The characteristic curve of a PV cell represents the variation of the current which it produces as a function of the voltage at its terminals, since the short circuit (zero voltage corresponding to the maximum current product) till the open circuit (no current to a maximum voltage across the cell) [<xref ref-type="bibr" rid="scirp.50419-ref5">5</xref>] . In this case, we chose a simple model, requiring only the parameters given by the manufacturer to evoke the influence of meteorological parameters on the maximum power point, the I-V characteristic of this model is shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, and for influences of the conditions meteorological illustrated in <xref ref-type="fig" rid="fig4">Figure 4</xref> and <xref ref-type="fig" rid="fig5">Figure 5</xref>: The electrical characteristics of the photovoltaic module that we used were obtained by numerical simulation of the model by Matlab-Simulink software.</p><p>The maximum power <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x18.png" xlink:type="simple"/></inline-formula> suitable for MPP is very susceptible to light as illustrated in <xref ref-type="fig" rid="fig4">Figure 4</xref>: when the illumination decreases from 100 W/m<sup>2</sup>, power <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x19.png" xlink:type="simple"/></inline-formula> decreases by 10%. With cons, the maximum power <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x20.png" xlink:type="simple"/></inline-formula> decreases little with temperature particularly strong illumination. When the temperature increases from 10˚C to about the ambient temperature and illumination of 1000 W/m<sup>2</sup> power <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x21.png" xlink:type="simple"/></inline-formula> decreased by 4%.</p><p>The optimum voltage <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x22.png" xlink:type="simple"/></inline-formula> suitable for MPP varies very little with the illumination and decreases slightly with temperature as illustrated in <xref ref-type="fig" rid="fig5">Figure 5</xref>. For illumination of 1000 W/m<sup>2</sup> and around ambient temperature (25˚C): when the temperature varies from 10˚C, the voltage ranges from 4.2%. These results show that the voltage varies relatively little in the course of the day. Also, it is considered as a first approximation that the optimal operation of PV generator substantially corresponds to operation at constant optimum voltage<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x22.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x23.png" xlink:type="simple"/></inline-formula>.</p><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Characteristic current I(V) and Power P(V) of PV Cell</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x24.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Influence of temperature and illumination on MPP of PV module</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x25.png"/></fig><p>The coefficient of maximum power point MPP and the optimal voltage linking the measured quantities and optimal variables is not always accurately fixed and little vary with time as a function of aging. It depends in particular on temperature and sunlight as illustrated in <xref ref-type="fig" rid="fig4">Figure 4</xref> and <xref ref-type="fig" rid="fig5">Figure 5</xref>.</p></sec><sec id="s4"><title>4. Adaptation through of DC-DC Converter</title><p>The chopper is a DC-DC converter for converting a DC power to a given level of voltage (or current) in a continuous energy to another level of voltage (or current). Use turns out necessary to store solar energy in batteries or to feed a continuous load equivalent circuit of the chopper is represented by <xref ref-type="fig" rid="fig6">Figure 6</xref> and <xref ref-type="fig" rid="fig7">Figure 7</xref> below. Two topologies of bass conversion circuit (DC/DC), choppers are DC-DC static converters for generating a variable DC voltage source from a source of fixed voltage. The chopper consists of capacitors, inductors and switches. All of these devices in the ideal case do not consume power, this is the reason why the choppers have good yields. Usually the switch is a MOSFET transistor is a semiconductor device mode (block-saturate), for our work we throw a glance on Boost and Buck converters.</p><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Variation of voltage VMPP according to on the temperature T and illumination E</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x26.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Boost converter</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x27.png"/></fig><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> BUCK converter</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x28.png"/></fig><sec id="s4_1"><title>4.1. Buck &amp; Boost Converters</title><p>The boost converter is known by the name of voltage booster that can be represented by the circuit of <xref ref-type="fig" rid="fig6">Figure 6</xref>. The boost converter is characterized by the fact that the output voltage is higher than the input voltage [<xref ref-type="bibr" rid="scirp.50419-ref6">6</xref>] . This is a direct DC-DC converter. The input source is DC-type (inductor in series with a voltage source) and output load is of the type voltage (capacitor in parallel with the resistive load). The switch K1 can be replaced by a transistor since the current is always positive and that the switching should be commanded (the Blocking and priming). A buck converter, or series chopper, is a device that converts a DC voltage into another DC voltage of lower value. The buck converter as illustrated in <xref ref-type="fig" rid="fig7">Figure 7</xref> is used in applications where you want to have an output voltage lower than the input voltage [<xref ref-type="bibr" rid="scirp.50419-ref7">7</xref>] .</p>Functioning<p>For the BOOST, the switch K1 is closed during the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x29.png" xlink:type="simple"/></inline-formula> fraction of the switching period<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x30.png" xlink:type="simple"/></inline-formula>. The input source provides power to the load <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x31.png" xlink:type="simple"/></inline-formula> through the inductor<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x31.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x32.png" xlink:type="simple"/></inline-formula>. When transistor is blocked, the diode K2 ensures continuity of the current in the inductor. The energy stored in the inductor is then discharged into the capacitor and the resistance of the load. In steady state, the medium value of the terminal voltage of the inductor is zero, which imposes the following equation:</p><disp-formula id="scirp.50419-formula231"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x33.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.50419-formula232"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x34.png"  xlink:type="simple"/></disp-formula><p>From Equation (3), the conversion ratio of boost chopper is given in the following form:</p><disp-formula id="scirp.50419-formula233"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x35.png"  xlink:type="simple"/></disp-formula><p>And for the BUCK converter, the switch K1 is closed during the fraction <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x36.png" xlink:type="simple"/></inline-formula> of the switching period<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x37.png" xlink:type="simple"/></inline-formula>. The input source provides an power to the load <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x38.png" xlink:type="simple"/></inline-formula> through the inductance<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x38.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x39.png" xlink:type="simple"/></inline-formula>. When the Blocking the transistor, the diode K2 ensures continuity of the current in the inductor. The energy stored in the inductor is then discharged into the capacitor and the load resistor. In steady state, the medium value of the terminal voltage of the inductor is zero. The output voltage is given by the following equation:</p><disp-formula id="scirp.50419-formula234"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x40.png"  xlink:type="simple"/></disp-formula><p>From Equation (6), the conversion ratio of buck chopper is given in the following form:</p><disp-formula id="scirp.50419-formula235"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x41.png"  xlink:type="simple"/></disp-formula><p>After resolution of equations by Matlab can be shown the <xref ref-type="fig" rid="fig8">Figure 8</xref> illustrates the linear relation between the conversion report and the duty ratio and also to <xref ref-type="fig" rid="fig9">Figure 9</xref> shows the evolution of conversion by the duty cycle ratio.</p><p>This is Equation (6) which shows that the buck converter is a step-down voltage because the output voltage of the converter equal to the input voltage by a coefficient which varies in the range [0,1] as illustrated in <xref ref-type="fig" rid="fig8">Figure 8</xref>. And <xref ref-type="fig" rid="fig9">Figure 9</xref>, in this case it is the Equation (3) shows that the boost converter is a voltage booster.</p></sec><sec id="s4_2"><title>4.2. Simulation of the Chopper by Matlab Simulink</title><sec id="s4_2_1"><title>4.2.1. Chopper Series</title><p>Four demonstrate the role of converters Buck we used Matlab simulation software and we are taking (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x42.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x43.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x42.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x44.png" xlink:type="simple"/></inline-formula>). As illustrated in the <xref ref-type="fig" rid="fig1">Figure 1</xref>0 with the components used and the interconnection between them, by Matlab Simulink.</p><p>After having the voltage input 300 V as shown in the <xref ref-type="fig" rid="fig1">Figure 1</xref>1, we found the output value 150 V, as illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>2, different and proportional to the duty cycle alpha<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x45.png" xlink:type="simple"/></inline-formula>, we conclude that the role of boost for a solar system.</p><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> The conversion ratio buck according α</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x46.png"/></fig><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> The conversion ratio boost according α</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x47.png"/></fig><fig id="fig10"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>0</label><caption><title> Block diagram of simulation of Buck converter</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x48.png"/></fig><fig id="fig11"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>1</label><caption><title> Input voltage to the converter as a function of time</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x49.png"/></fig><p>And to give several values of voltage as a function of duty cycle which shows the proportionality between the duty cycle and the input voltage and also to express the role of a Buck in <xref ref-type="table" rid="table1">Table 1</xref> below shows the variation of the average value of the voltage and current versus duty cycle.</p><p>The output voltage of the chopper is not continuous but always be positive. When the time is quite low (frequency 100 - 1000 Hz) the load does not “see” the not slots, but the medium value of the voltage. We notice whatever the nature of the charge, we have <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x50.png" xlink:type="simple"/></inline-formula> chopper series is voltage step-down (buck chopper).</p></sec><sec id="s4_2_2"><title>4.2.2. Parallel Chopper</title><p>To show the role of converters boost we used Matlab software for the simulation and we take (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x51.png" xlink:type="simple"/></inline-formula>,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x52.png" xlink:type="simple"/></inline-formula> ,<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x53.png" xlink:type="simple"/></inline-formula>) as illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>3.</p><p>After the results in <xref ref-type="fig" rid="fig1">Figure 1</xref>4 it is noted that the output voltage <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x54.png" xlink:type="simple"/></inline-formula> is not the same as the input<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x55.png" xlink:type="simple"/></inline-formula> for a duty cycle <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x56.png" xlink:type="simple"/></inline-formula> which expresses the role of boost converter. It is therefore important to play on the cyclic ratio of a share, and on the other hand, although the inductor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x57.png" xlink:type="simple"/></inline-formula> dimension, to get a smooth current to the capacitor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x58.png" xlink:type="simple"/></inline-formula> and having a desired output voltage.</p></sec></sec></sec><sec id="s5"><title>5. Performance of a Chain Photovoltaic</title><sec id="s5_1"><title>5.1. Energy Efficiency</title><p>We recall the definitions of the different yields and measurement conditions thereof. As a result, the overall yield of the conversion chain reflects all sources of losses over the entire PV chain.</p><p>The power received by a panel of area <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x59.png" xlink:type="simple"/></inline-formula> (m<sup>2</sup>) is equal to<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x60.png" xlink:type="simple"/></inline-formula>.</p><p>We will take as a definition reflecting performance the maximum capacity of a GPV and quality of the electron-photon conversion of a solar panel noted<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x61.png" xlink:type="simple"/></inline-formula>, the performance defined by the equation:</p><disp-formula id="scirp.50419-formula236"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x62.png"  xlink:type="simple"/></disp-formula><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x63.png" xlink:type="simple"/></inline-formula>: The maximum power delivered by the PV generator.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x64.png" xlink:type="simple"/></inline-formula>: irradiance (W/m<sup>2</sup>) is defined as the amount of solar electromagnetic energy incident on a surface per unit of time and area.</p><fig id="fig12"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>2</label><caption><title> The medium value of the output voltage</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x65.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> The variation of the average value of the voltage and current according α</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x66.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle"  colspan="3"  >Duty Cycle<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x67.png" xlink:type="simple"/></inline-formula>.</th></tr></thead><tr><td align="center" valign="middle" >0.20 0.30</td><td align="center" valign="middle" >0.40</td><td align="center" valign="middle" >0.50</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x68.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >62 89.1</td><td align="center" valign="middle" >118</td><td align="center" valign="middle" >148.5</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x69.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >1.975 2.970</td><td align="center" valign="middle" >4.692</td><td align="center" valign="middle" >4.694</td></tr></tbody></table></table-wrap><fig id="fig13"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>3</label><caption><title> Block diagram of simulation of boost converter</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x70.png"/></fig><fig-group id="fig14"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>4</label><caption><title> Curve of voltage and current output of the boost converter.</title></caption><fig id ="fig14_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x71.png"/></fig><fig id ="fig14_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x72.png"/></fig></fig-group><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x73.png" xlink:type="simple"/></inline-formula>: Represents the area of the corresponding panel the active part and capable of able to perform of photovoltaic conversion and not the total area occupied by the solar panel.</p><p>The power P effectively delivered by an PV generator depends more on the command used in the converter (MPPT voltage control, direct connection, ...). Performance of the operating point which place we note <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x74.png" xlink:type="simple"/></inline-formula> can measure the effectiveness of the command that is responsible for the control of static converter so that the PV module furnish maximum power.</p><disp-formula id="scirp.50419-formula237"><label>(9)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x75.png"  xlink:type="simple"/></disp-formula><p>P is the power available at the terminals of GPV.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x76.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x76.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x77.png" xlink:type="simple"/></inline-formula> are respectively the voltage and current optimal of generator PV.</p><p>And performance the converter noted<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x78.png" xlink:type="simple"/></inline-formula>, which is defined by (10), noting the power <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x78.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x79.png" xlink:type="simple"/></inline-formula> delivered at the output the converter</p><disp-formula id="scirp.50419-formula238"><label>(10)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x80.png"  xlink:type="simple"/></disp-formula><p>Unfortunately, more the converter is complex, plus its own performance noted <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x81.png" xlink:type="simple"/></inline-formula> is low. For the user, the only important overall efficiency <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x81.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x82.png" xlink:type="simple"/></inline-formula> of the entire chain [<xref ref-type="bibr" rid="scirp.50419-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.50419-ref9">9</xref>] :</p><disp-formula id="scirp.50419-formula239"><label>(11)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x83.png"  xlink:type="simple"/></disp-formula><p>For these variables must be optimized solar system by intelligent controls (embedded system) to increase the efficiency and effectiveness of our system.</p></sec><sec id="s5_2"><title>5.2. Form Factor</title><p>Called form factor FF, also called factor curve or fill factor, the ratio between the maximum power output P<sub>max</sub> cell (I<sub>opt</sub>, V<sub>opt</sub>) and the product of the short-circuit current I<sub>sc</sub> by the open circuit voltage Voc (that is to say the maximum power an ideal cell). The shape factor indicates the quality of the cell [<xref ref-type="bibr" rid="scirp.50419-ref10">10</xref>] ; as it approaches the unit cell is more efficient, it is of the order of 0.7 for efficient cells; and decreases with temperature. It reflects the influence of losses by both parasitic resistances and is defined by:</p><disp-formula id="scirp.50419-formula240"><label>(12)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x84.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.50419-formula241"><label>(13)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-6401350x85.png"  xlink:type="simple"/></disp-formula><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x87.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x87.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x86.png" xlink:type="simple"/></inline-formula>: Open circuit voltage.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x89.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x89.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-6401350x88.png" xlink:type="simple"/></inline-formula>: The current of a short circuit.</p><p>For our system after the simulation of the influence of meteorological parameters on FF and performance are illustrated in the following <xref ref-type="fig" rid="fig1">Figure 1</xref>5 and <xref ref-type="fig" rid="fig1">Figure 1</xref>6.</p><fig id="fig15"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>5</label><caption><title> Variation of form factor depending of E and T</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x90.png"/></fig><fig id="fig16"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>6</label><caption><title> Power available and yield of command for different operating points</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-6401350x91.png"/></fig><p>When illumination increases the fill factor increases. The fill factor diminishes as the temperature of the device increased. The decrease in FF with the working temperature of the device outweighs the slight increase in the short circuit current. Finally for having a clearer idea of the origins of losses and yields of each part of a chain of power for a solar system, we presented the definitions of performance and form factor to extract performance against weather conditions. In all cases it is necessary to continuously monitor the output voltage of the converter, that is to say either the voltage of the battery charger or the DC bus voltage to an inverter. In addition it is also useful to monitor the battery charge, the battery current measure, then it is easier to maximize the power output of the generator set and the converter because it is this power that is useful and not the extracted panel.</p><p>Therefore to increase the efficiency of a solar system must integrate MPPT controls for example knowing that there are different types of algorithms performing the search of maximum power point MPP [<xref ref-type="bibr" rid="scirp.50419-ref11">11</xref>] .</p></sec></sec><sec id="s6"><title>6. Conclusion</title><p>The performance of the PV generator is evaluated according to the standard conditions (STC): irradiance 1000 W/m<sup>2</sup>, and Temperature 25˚C. The performance of a PV solar system highly depends on the weather conditions, such as solar radiation, temperature and light, so does the performance of the PV generator degrade with increasing temperature, the decrease in intensity and the illumination load variations. To provide energy continuously throughout the year, a PV system must be properly sized and led by intelligent command to monitor MPPT for extracting the maximum energy. And for the simulation of DC-DC converters, we have shown by simulation that the average value of the output voltage can be adjusted by varying the duty cycle value. In perspective, this work will be continued with a practical realization of MPPT command based microcontroller and a follower by an Arduino board for increasing the efficiency of a solar system to extract the maximum energy.</p></sec></body><back><ref-list><title>References</title><ref id="scirp.50419-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">El Alami, M., Habibi, M. and Bri, S. (2013) Parameters Efficiency of Solar Energy. 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