<?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">CS</journal-id><journal-title-group><journal-title>Circuits and Systems</journal-title></journal-title-group><issn pub-type="epub">2153-1285</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/cs.2016.76079</article-id><article-id pub-id-type="publisher-id">CS-66622</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject><subject> Engineering</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  A Novel Asymmetrical Single-Phase Multilevel Inverter Suitable for Hybrid Renewable Energy Sources
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>.</surname><given-names>P. Boopathy</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>M.</surname><given-names>Kaliamoorthy</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>Department of Electrical and Electronics Engineering, Karpagam College of Engineering, Coimbatore, India</addr-line></aff><aff id="aff1"><addr-line>Department of Electrical and Electronics Engineering, SVS College of Engineering, Coimbatore, India</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>kaliasgoldmedal@gmail.com(MK)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>04</day><month>05</month><year>2016</year></pub-date><volume>07</volume><issue>06</issue><fpage>932</fpage><lpage>945</lpage><history><date date-type="received"><day>15</day>	<month>April</month>	<year>2016</year></date><date date-type="rev-recd"><day>accepted</day>	<month>16</month>	<year>May</year>	</date><date date-type="accepted"><day>20</day>	<month>May</month>	<year>2016</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>
 
 
  This paper introduces a novel single-phase asymmetrical multilevel inverter suitable for hybrid renewable energy sources. The proposed inverter consists of two isolated DC sources and six power semiconductor controlled switches. The suggested inverter is capable of generating seven-level output when the input DC voltage is taken in the ratio of 1:2. The higher magnitude DC source is fed from Photo Voltaic (PV) panels, whereas the lower magnitude DC source is fed from Wind Turbine (WT) driven Permanent Magnet DC (PMDC) generator. Both the renewable energy sources are connected to the inverter via two DC-DC boost converters connected in cascade (
  i.e.
   
  one for maximum power point tracking and another for DC-link voltage control). The proposed hybrid renewable energy source inverter is connected to single-phase grid via proper control systems. The complete system is simulated using MATLAB/SIMULINK and the results are presented in detail.
 
</p></abstract><kwd-group><kwd>Asymmetrical Multilevel Inverter</kwd><kwd> DC-DC Boost Converter</kwd><kwd> Photo-Voltaic</kwd><kwd> Wind Turbine</kwd><kwd> Permanent Magnet DC Generator</kwd><kwd> Maximum Power Point Tracking</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In recent years, Renewable Energy Sources (RES) are gaining more importance over the globe because of the exhausting nature of the conventional energy sources, rise in earth’s temperature due to carbon dioxide emissions, ever increasing oil price, non availability of power supply in the rural areas, etc. [<xref ref-type="bibr" rid="scirp.66622-ref1">1</xref>] - [<xref ref-type="bibr" rid="scirp.66622-ref4">4</xref>] . The energy generated from RES depends upon the environmental conditions [<xref ref-type="bibr" rid="scirp.66622-ref5">5</xref>] (i.e. energy generated from solar energy conversion system depends upon the solar irradiation and energy generated from wind energy conversion system depends upon the wind speed), whereas the electrical grid requires constant voltage and frequency. Hence proper power electronic interface must be provided between the renewable energy and the grid for stable operation [<xref ref-type="bibr" rid="scirp.66622-ref5">5</xref>] .</p><p>In order to connect RES to the grid, two stages of power conversion are used. First stage is to boost up the low voltage output of RES and to track its Maximum Power Point (MPP), whereas the second stage is used to convert DC into AC signal as required by the grid [<xref ref-type="bibr" rid="scirp.66622-ref3">3</xref>] . To increase the efficiency of the grid connected renewable energy systems single stage boost inverters are proposed in the literature [<xref ref-type="bibr" rid="scirp.66622-ref1">1</xref>] - [<xref ref-type="bibr" rid="scirp.66622-ref4">4</xref>] . Single stage power conversion technique reduces the losses, thereby increasing the efficiency, but it suffers from drawbacks like poor Total Harmonic Distortion (THD) at the output voltage which eventually increases the filter size, thereby increasing the cost and size of the total system [<xref ref-type="bibr" rid="scirp.66622-ref6">6</xref>] .</p><p>To improve the harmonic profile of the output voltage of the inverter Multilevel Inverters (MLIs) are suggested in [<xref ref-type="bibr" rid="scirp.66622-ref1">1</xref>] - [<xref ref-type="bibr" rid="scirp.66622-ref5">5</xref>] . MLIs have nearly sinusoidal output voltage and current waveforms with improved harmonic profile, less stress in power electronic switches due to reduced voltages, lower switching losses when compared to conventional three-level inverters, smaller filter size and reduced electromagnetic interference [<xref ref-type="bibr" rid="scirp.66622-ref6">6</xref>] . In recent years various MLIs are proposed in the literature. Among those commonly used types are diode- clamped MLI [<xref ref-type="bibr" rid="scirp.66622-ref7">7</xref>] , capacitor clamped MLI [<xref ref-type="bibr" rid="scirp.66622-ref8">8</xref>] , cascaded H-bridge MLI [<xref ref-type="bibr" rid="scirp.66622-ref9">9</xref>] - [<xref ref-type="bibr" rid="scirp.66622-ref11">11</xref>] and modified H-bridge MLI [<xref ref-type="bibr" rid="scirp.66622-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.66622-ref12">12</xref>] . MLIs are further classified into symmetrical and asymmetrical types. Asymmetrical MLIs (ASMLIs) are capable of producing more levels for the given power electronic devices when compared with symmetrical MLIs (SMLIs) [<xref ref-type="bibr" rid="scirp.66622-ref13">13</xref>] . This paper introduces a modified ASMLI topology suitable for renewable energy sources. The proposed inverter is capable of generating seven levels with two isolated DC sources and six power semiconductor controlled switches. The two isolated DC sources are of different in magnitudes of voltages with the ratio of 1:2. Among the six power semiconductor devices, two devices are bidirectional and four devices are unidirectional devices. The proposed inverter has many advantages like simple in structure, adaptable for integrating RES with the grid, lower THD and lesser number of semiconductor switches.</p><p>The remaining part of this paper is structured as follows. The operation and description of the modified ASMLI topology along with switching logic are detailed in Section 2, the suggested ASMLI fed from RES along with proper control system is described in Section 3, Section 4 details the simulation results obtained from MATLAB/SIMULINK and the performance of the system is recapitulated at the conclusion.</p></sec><sec id="s2"><title>2. Circuit Topology</title><p>The proposed topology consists of a two bidirectional switches added to the conventional H bridge inverter. The proposed topology has been derived from the topology proposed in [<xref ref-type="bibr" rid="scirp.66622-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.66622-ref13">13</xref>] . The topology proposed in [<xref ref-type="bibr" rid="scirp.66622-ref10">10</xref>] has only one bidirectional switch which is capable of generating only five levels and is of symmetrical type. Whereas the topology proposed in [<xref ref-type="bibr" rid="scirp.66622-ref13">13</xref>] has two bidirectional switches which is capable of generating seven levels, but it has the problem of capacitor voltage balancing when fed to high power loads [<xref ref-type="bibr" rid="scirp.66622-ref2">2</xref>] . Further the MLI proposed in [<xref ref-type="bibr" rid="scirp.66622-ref10">10</xref>] is again of symmetrical in nature. The asymmetrical MLI proposed in this paper requires only two bidirectional switches to generate seven levels further the problem of capacitor voltage balancing does not exist. <xref ref-type="fig" rid="fig1">Figure 1</xref> shows circuit topology of the proposed asymmetrical MLI topology.</p><p>The proposed topology of ASMLI consists of two isolated DC sources with the ratio of 1:2, six power semiconductor devices in which two devices are bidirectional (i.e. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x6.png" xlink:type="simple"/></inline-formula>and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x7.png" xlink:type="simple"/></inline-formula>). The switch AS1 is connected between the middle of the leg 1 and to the middle of the two isolated DC sources, where as the switch <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x8.png" xlink:type="simple"/></inline-formula> is connected between the middle of the leg 2 and to the middle of the DC sources. <xref ref-type="fig" rid="fig2">Figure 2</xref> shows the modes of operation of the proposed inverter. In <xref ref-type="fig" rid="fig2">Figure 2</xref> the conducting paths are shown in dark black lines whereas the non-conducting paths are shown in the light grey colors. <xref ref-type="table" rid="table1">Table 1</xref> shows the switching table of the proposed ASMLI, which is capable of generating seven levels. Further the proposed ASMLI is capable of generating higher levels if the basic blocks are connected in cascade.</p><p>In order to generate gating signals for the proposed inverter, six level shifted carrier waves are used as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>. The logical diagram for generating the gating signals using the six level shifted carrier waves are shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>. From <xref ref-type="fig" rid="fig4">Figure 4</xref> it is very clear that the logic is very simple to implement and uses XOR, NOT and XNOR operations.</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Proposed asymmetrical MLI topology</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x9.png"/></fig><fig-group id="fig2"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> (a)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x16.png" xlink:type="simple"/></inline-formula>; (b)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x17.png" xlink:type="simple"/></inline-formula>; (c)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x18.png" xlink:type="simple"/></inline-formula>; (d)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x19.png" xlink:type="simple"/></inline-formula>; (e)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x20.png" xlink:type="simple"/></inline-formula>; (f)<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x21.png" xlink:type="simple"/></inline-formula>.</title></caption><fig id ="fig2_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x10.png"/></fig><fig id ="fig2_2"><label>(c)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x11.png"/></fig><fig id ="fig2_3"><label> (d)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x12.png"/></fig><fig id ="fig2_4"><label>(e)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x13.png"/></fig><fig id ="fig2_5"><label> (f)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x14.png"/></fig><fig id ="fig2_6"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x15.png"/></fig></fig-group><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Carrier signals used for generating gating signals</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x22.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Switching logic of the basic block of the proposed ASMLI</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x23.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x24.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x25.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x26.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x27.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x28.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x29.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" >Reference</th></tr></thead><tr><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x30.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><xref ref-type="fig" rid="fig2">Figure 2</xref>(e)</td></tr><tr><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x31.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><xref ref-type="fig" rid="fig2">Figure 2</xref>(c)</td></tr><tr><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x32.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><xref ref-type="fig" rid="fig2">Figure 2</xref>(a)</td></tr><tr><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >-</td></tr><tr><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x33.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><xref ref-type="fig" rid="fig2">Figure 2</xref>(b)</td></tr><tr><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x34.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><xref ref-type="fig" rid="fig2">Figure 2</xref>(d)</td></tr><tr><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >ON</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" >OFF</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x35.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><xref ref-type="fig" rid="fig2">Figure 2</xref>(f)</td></tr></tbody></table></table-wrap><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Logic diagram for generating gating signals for the proposed inverter</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x36.png"/></fig></sec><sec id="s3"><title>3. Proposed Inverter Fed from Renewable Energy Sources</title><p>The proposed inverter is a best fit for grid connected renewable energy applications. <xref ref-type="fig" rid="fig5">Figure 5</xref> shows the proposed inverter fed from solar photovoltaic and wind turbine driven PMDC generator. The upper DC source is fed from Solar PV, where as the lower DC source is fed from WT driven PMDC generator. The operating point of solar PV module is decided by solar radiation, temperature of PV module and the resistance of the load. For a given cell temperature and solar radiation, there is an exclusive operating point of the PV array in its PV curve with maximum output power. Hence Maximum Power Point Tracking (MPPT) is essential in PV arrays in order to draw maximum power from it irrespective of the climatic and load conditions [<xref ref-type="bibr" rid="scirp.66622-ref14">14</xref>] . A similar situation exists in Wind Turbine also [<xref ref-type="bibr" rid="scirp.66622-ref5">5</xref>] . Generally DC-DC boost converter is used next to PV module for two main reasons. Primary reason is to track the MPP and the secondary reason is to boost up the low output voltage of PV module to a higher level. Hence the DC-DC boost converters duty cycle is dependent on the MPPT algorithm. Thus when the environmental conditions vary MPPT algorithm will change the duty cycle which in turn reduces or increases the output voltage of the boost converter. But the DC input voltage of the inverter should have a stiff value when it is connected to the grid. Hence two DC-DC boost converters are used in cascade, one is to track the MPP and the other is to maintain the DC-link voltage (i.e. input voltage of the inverter) to a stiff value. Similar option is used in the WT also.</p><sec id="s3_1"><title>3.1. Maximum Power Point Tracking</title><p>The PV and VI Characteristics of TATA BP 180 W panel is shown in <xref ref-type="fig" rid="fig6">Figure 6</xref> for various irradiations and cell temperature. It is very clear from <xref ref-type="fig" rid="fig6">Figure 6</xref> that the location of the maximum power point varies when the environmental condition varies (i.e. irradiation and module temperature). Similarly the wind power vs. turbine speed characteristics for various wind velocities is shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>. It can be observed from <xref ref-type="fig" rid="fig7">Figure 7</xref> if wind velocity varies MPP also varies. Hence MPPT is essential in the case of PV arrays and WT. The details of PV module and WT coupled PMDC machine is given in <xref ref-type="table" rid="table2">Table 2</xref>. There is lot of MPPT algorithms proposed in the literature [<xref ref-type="bibr" rid="scirp.66622-ref13">13</xref>] - [<xref ref-type="bibr" rid="scirp.66622-ref16">16</xref>] . Among the various MPPT algorithms perturb and observe and Incremental conductance algorithms are most popular due to their simplicity and easy implementation [<xref ref-type="bibr" rid="scirp.66622-ref15">15</xref>] . But these algorithms have draw back in selecting the incremental value of the control factor. When the incremental value is chosen very</p><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> System configuration of the proposed inverter fed from PV arrays and WT driven PMDC generator</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x37.png"/></fig><fig-group id="fig6"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> (a) PV characteristics of PV array for constant temperature (25˚C); (b) IV characteristics of PV array for constant temperature (25˚C); (c) PV characteristics of PV array for constant irradiance (1000 W/m<sup>2</sup>); (d) IV characteristics of PV array for constant irradiance (1000 W/m<sup>2</sup>).</title></caption><fig id ="fig6_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x38.png"/></fig><fig id ="fig6_2"><label>(c)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x39.png"/></fig><fig id ="fig6_3"><label> (d)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x40.png"/></fig><fig id ="fig6_4"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x41.png"/></fig></fig-group><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Turbine speed vs. turbine power for various wind velocities</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x42.png"/></fig><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> PV module, WT and PMDC parameters</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >PV Module</th><th align="center" valign="middle" ></th><th align="center" valign="middle" >Wind Turbine</th><th align="center" valign="middle" ></th><th align="center" valign="middle" >PMDC</th><th align="center" valign="middle" ></th></tr></thead><tr><td align="center" valign="middle" >Power Output <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x43.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >180 W</td><td align="center" valign="middle" >Rated Power</td><td align="center" valign="middle" >1.8 kW</td><td align="center" valign="middle" >Rated Power</td><td align="center" valign="middle" >1.1 kW</td></tr><tr><td align="center" valign="middle" >Voltage at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x44.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >35.8 V</td><td align="center" valign="middle" >Rated Wind Speed</td><td align="center" valign="middle" >10 m/s</td><td align="center" valign="middle" >Armature Voltage</td><td align="center" valign="middle" >37.2 V</td></tr><tr><td align="center" valign="middle" >Current at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x45.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >5.03 A</td><td align="center" valign="middle" >Radius</td><td align="center" valign="middle" >1.525 m</td><td align="center" valign="middle" >Rated RPM</td><td align="center" valign="middle" >1000</td></tr><tr><td align="center" valign="middle" >Open Circuit Voltage</td><td align="center" valign="middle" >43.6 V</td><td align="center" valign="middle" >Gear Ratio</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >Armature Resistance</td><td align="center" valign="middle" >0.3</td></tr><tr><td align="center" valign="middle" >Short Circuit Current</td><td align="center" valign="middle" >5.48 A</td><td align="center" valign="middle" >Air density</td><td align="center" valign="middle" >1.08 m<sup>3</sup>/kg</td><td align="center" valign="middle" >Armature Inductance</td><td align="center" valign="middle" >0.06 mH</td></tr></tbody></table></table-wrap><p>small, it gives poor dynamic performance and the algorithm becomes very slow. On the other hand when large value of chosen, the steady state error becomes very high [<xref ref-type="bibr" rid="scirp.66622-ref15">15</xref>] . Hence this paper proposes sliding mode based MPPT tracking for fast tracking with good dynamic and steady state performance.</p><p>In sliding mode control sliding surface is determined by finding the MPP for various environmental conditions (i.e. irradiation, module temperature and wind velocity) through simulation. Once the MPP is determined for various environmental conditions, sliding surface equation is determined by using curve fitting toolbox in MATLAB/SIMULINK. The sliding surface equation for PV module and WT are shown in <xref ref-type="fig" rid="fig8">Figure 8</xref>. When the result of sliding surface equation is greater than zero the boost converter switch is turned ON, on the other hand when it is less than zero it is turned OFF.</p><p>The sliding surface of PV module is given by</p><disp-formula id="scirp.66622-formula498"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/29-7600792x46.png"  xlink:type="simple"/></disp-formula><p>where Y is the PV module current and X is the PV module Voltage. Since the sliding surface equation is passing through the maximum power points, the result of the above equation should be zero to ensure MPP. Hence PV module current and voltage are sensed and Equation (1) is calculated instantaneously. When the result of the</p><p>above equation is greater than zero, the switch <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x47.png" xlink:type="simple"/></inline-formula> (shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>) is turned ON, else it is turned OFF.</p><p>In order to evaluate the proposed sliding mode algorithm, step change in the irradiance is given and the corres-</p><fig-group id="fig8"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> (a) Sliding surface of PV module (b) Sliding surface of WT.</title></caption><fig id ="fig8_1"><label> (b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x48.png"/></fig></fig-group><p>ponding power output is measured and compared with actual MPP power as shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>. It is evident from <xref ref-type="fig" rid="fig9">Figure 9</xref> that the panel is generating 180 Watts when irradiance is 1000 W/m<sup>2</sup>.</p><p>Similarly the sliding surface of WT is given by</p><disp-formula id="scirp.66622-formula499"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/29-7600792x49.png"  xlink:type="simple"/></disp-formula><p>where Y is the power output of PMDC generator and X is the WT rotor speed. When the result of the above equation is greater than zero, the switch <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/29-7600792x50.png" xlink:type="simple"/></inline-formula> (shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>) is turned ON, else it is turned OFF. In</p><p>order to evaluate the proposed sliding mode algorithm, step change in the wind speed is given and the corresponding power output is measured and compared with actual MPP power as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>0.</p><p>By comparing <xref ref-type="fig" rid="fig9">Figure 9</xref> with data points of <xref ref-type="fig" rid="fig6">Figure 6</xref>(a), it is very clear that steady state error is very minimum and also it has good dynamic response. Similar comparison can be made between <xref ref-type="fig" rid="fig1">Figure 1</xref>0 and <xref ref-type="fig" rid="fig7">Figure 7</xref> to evaluate the performance of sliding mode control of WT.</p></sec><sec id="s3_2"><title>3.2. Cascaded Boost Converters</title><p>Two boost converters are connected in cascade between the RES and the inverter DC sources as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. The output of the MPPT boost converter of PV module is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>1. Since the primary task of the MPPT boost converter is track the MPP, the output voltage of the MPPT boost converter also varies when there is a change in environmental conditions as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>1. But the DC link voltage of the inverter should be maintained constant for stable grid integration. Hence another Boost converter is connected in cascade with MPPT boost converter. The main purpose of the second boost converter is to maintain constant voltage in the DC link. <xref ref-type="fig" rid="fig1">Figure 1</xref>2 shows the output voltage obtained from the second boost converter, which remains constant at 130 volt.</p><p>Similarly the output voltage of MPPT boost converter of WT also varies when there is a variation in the wind speed. Hence the Voltage control boost converter is connected in cascaded to have stiff voltage at the DC link of the inverter. <xref ref-type="fig" rid="fig1">Figure 1</xref>3 shows the output voltage of voltage control boost converter of WT. It is evident from <xref ref-type="fig" rid="fig1">Figure 1</xref>3 that the output voltage of WT voltage control boost converter is 260 volts.</p></sec></sec><sec id="s4"><title>4. Grid Integration</title><p>The proposed inverter fed from renewable energy sources is connected to grid through control components as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>. The control block diagram of the grid integration is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>4.</p><p>The upper DC link of the proposed inverter (<xref ref-type="fig" rid="fig5">Figure 5</xref>) is set to 130 volts where as the lower DC link voltage is set to 260 volts. The output voltage of the proposed inverter with seven levels is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>5(a) for</p><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> MPPT of PV module using sliding mode algorithm</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x51.png"/></fig><fig id="fig10"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>0</label><caption><title> MPPT of wind turbine using sliding mode algorithm</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x52.png"/></fig><fig id="fig11"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>1</label><caption><title> Output voltage of MPPT boost converter of PV module</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x53.png"/></fig><fig id="fig12"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>2</label><caption><title> Output voltage of voltage control boost converter of PV module</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x54.png"/></fig><fig id="fig13"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>3</label><caption><title> Output voltage of voltage control boost converter of WT</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x55.png"/></fig><fig id="fig14"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>4</label><caption><title> Control block diagram of grid integration</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x56.png"/></fig><fig-group id="fig15"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>5</label><caption><title> (a) Output voltage of proposed inverter when the modulation index is 0.95 (seven levels); (b) Output voltage of proposed inverter when the modulation index is 0.6 (five levels).</title></caption><fig id ="fig15_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x57.png"/></fig><fig id ="fig15_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x58.png"/></fig></fig-group><p>modulation index of 0.95. When the modulation index is reduced to 0.6, the inverter is capable of generating only five levels which is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>5(b). <xref ref-type="fig" rid="fig1">Figure 1</xref>6 shows the capability of the proposed inverter when there is sud-den change in the grid voltage (i.e. Grid Disturbance). It can be seen in <xref ref-type="fig" rid="fig1">Figure 1</xref>6 that when the grid voltage falls the inverter modulation index is adjusted itself so that the inverter voltage also reduces.</p><p><xref ref-type="fig" rid="fig1">Figure 1</xref>7 shows the grid voltage and grid current waveform during the time of grid disturbance. It is very clear from <xref ref-type="fig" rid="fig1">Figure 1</xref>7 that the grid voltage and grid current are in phase and the power factor is almost unity. It can be seen from <xref ref-type="fig" rid="fig1">Figure 1</xref>8 that the reference current from MPPT controllers and the inverter current are one over the other and tracks very perfectly.</p></sec><sec id="s5"><title>5. Conclusion</title><p>In this paper a novel asymmetrical multilevel inverter is proposed. The operation of the proposed inverter is discussed and simulated in MATLAB/SIMULINK environment and the results are presented. The proposed inverter is fed from renewable energy sources through two boost converters connected in cascade: one for</p><fig-group id="fig16"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>6</label><caption><title> (a) Output Voltage of the proposed inverter due to grid disturbance; (b) Reference waveform of the inverter due to grid disturbance.</title></caption><fig id ="fig16_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x59.png"/></fig><fig id ="fig16_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x60.png"/></fig></fig-group><fig id="fig17"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>7</label><caption><title> Grid voltage and grid current</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x61.png"/></fig><fig id="fig18"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>8</label><caption><title> Reference and inverter current</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/29-7600792x62.png"/></fig><p>tracking the MPP and another for voltage control. Further the proposed inverter is connected to the single phase grid through proper control structure. The complete system is simulated and the results are presented.</p></sec><sec id="s6"><title>Cite this paper</title><p>C. P. Boopathy,M. Kaliamoorthy, (2016) A Novel Asymmetrical Single-Phase Multilevel Inverter Suitable for Hybrid Renewable Energy Sources. Circuits and Systems,07,932-945. doi: 10.4236/cs.2016.76079</p></sec></body><back><ref-list><title>References</title><ref id="scirp.66622-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Carrasco, J.M., Franquelo, L.G., Bialasiewicz, J.T., Galvan, E., Guisado, R.P., Prats, M.A. and Moreno-Alfonso, N. (2006) Power-Electronic Systems for the Grid Integration of Renewable Energy Sources: A Survey. 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