\documentclass[11pt,twoside]{article}\makeatletter

\IfFileExists{xcolor.sty}%
  {\RequirePackage{xcolor}}%
  {\RequirePackage{color}}
\usepackage{colortbl}
\usepackage{wrapfig}
\usepackage{ifxetex}
\ifxetex
  \usepackage{fontspec}
  \usepackage{xunicode}
  \catcode`⃥=\active \def⃥{\textbackslash}
  \catcode`❴=\active \def❴{\{}
  \catcode`❵=\active \def❵{\}}
  \def\textJapanese{\fontspec{Noto Sans CJK JP}}
  \def\textChinese{\fontspec{Noto Sans CJK SC}}
  \def\textKorean{\fontspec{Noto Sans CJK KR}}
  \setmonofont{DejaVu Sans Mono}
  
\else
  \IfFileExists{utf8x.def}%
   {\usepackage[utf8x]{inputenc}
      \PrerenderUnicode{–}
    }%
   {\usepackage[utf8]{inputenc}}
  \usepackage[english]{babel}
  \usepackage[T1]{fontenc}
  \usepackage{float}
  \usepackage[]{ucs}
  \uc@dclc{8421}{default}{\textbackslash }
  \uc@dclc{10100}{default}{\{}
  \uc@dclc{10101}{default}{\}}
  \uc@dclc{8491}{default}{\AA{}}
  \uc@dclc{8239}{default}{\,}
  \uc@dclc{20154}{default}{ }
  \uc@dclc{10148}{default}{>}
  \def\textschwa{\rotatebox{-90}{e}}
  \def\textJapanese{}
  \def\textChinese{}
  \IfFileExists{tipa.sty}{\usepackage{tipa}}{}
\fi
\def\exampleFont{\ttfamily\small}
\DeclareTextSymbol{\textpi}{OML}{25}
\usepackage{relsize}
\RequirePackage{array}
\def\@testpach{\@chclass
 \ifnum \@lastchclass=6 \@ne \@chnum \@ne \else
  \ifnum \@lastchclass=7 5 \else
   \ifnum \@lastchclass=8 \tw@ \else
    \ifnum \@lastchclass=9 \thr@@
   \else \z@
   \ifnum \@lastchclass = 10 \else
   \edef\@nextchar{\expandafter\string\@nextchar}%
   \@chnum
   \if \@nextchar c\z@ \else
    \if \@nextchar l\@ne \else
     \if \@nextchar r\tw@ \else
   \z@ \@chclass
   \if\@nextchar |\@ne \else
    \if \@nextchar !6 \else
     \if \@nextchar @7 \else
      \if \@nextchar (8 \else
       \if \@nextchar )9 \else
  10
  \@chnum
  \if \@nextchar m\thr@@\else
   \if \@nextchar p4 \else
    \if \@nextchar b5 \else
   \z@ \@chclass \z@ \@preamerr \z@ \fi \fi \fi \fi
   \fi \fi  \fi  \fi  \fi  \fi  \fi \fi \fi \fi \fi \fi}
\gdef\arraybackslash{\let\\=\@arraycr}
\def\@textsubscript#1{{\m@th\ensuremath{_{\mbox{\fontsize\sf@size\z@#1}}}}}
\def\Panel#1#2#3#4{\multicolumn{#3}{){\columncolor{#2}}#4}{#1}}
\def\abbr{}
\def\corr{}
\def\expan{}
\def\gap{}
\def\orig{}
\def\reg{}
\def\ref{}
\def\sic{}
\def\persName{}\def\name{}
\def\placeName{}
\def\orgName{}
\def\textcal#1{{\fontspec{Lucida Calligraphy}#1}}
\def\textgothic#1{{\fontspec{Lucida Blackletter}#1}}
\def\textlarge#1{{\large #1}}
\def\textoverbar#1{\ensuremath{\overline{#1}}}
\def\textquoted#1{‘#1’}
\def\textsmall#1{{\small #1}}
\def\textsubscript#1{\@textsubscript{\selectfont#1}}
\def\textxi{\ensuremath{\xi}}
\def\titlem{\itshape}
\newenvironment{biblfree}{}{\ifvmode\par\fi }
\newenvironment{bibl}{}{}
\newenvironment{byline}{\vskip6pt\itshape\fontsize{16pt}{18pt}\selectfont}{\par }
\newenvironment{citbibl}{}{\ifvmode\par\fi }
\newenvironment{docAuthor}{\ifvmode\vskip4pt\fontsize{16pt}{18pt}\selectfont\fi\itshape}{\ifvmode\par\fi }
\newenvironment{docDate}{}{\ifvmode\par\fi }
\newenvironment{docImprint}{\vskip 6pt}{\ifvmode\par\fi }
\newenvironment{docTitle}{\vskip6pt\bfseries\fontsize{22pt}{25pt}\selectfont}{\par }
\newenvironment{msHead}{\vskip 6pt}{\par}
\newenvironment{msItem}{\vskip 6pt}{\par}
\newenvironment{rubric}{}{}
\newenvironment{titlePart}{}{\par }

\newcolumntype{L}[1]{){\raggedright\arraybackslash}p{#1}}
\newcolumntype{C}[1]{){\centering\arraybackslash}p{#1}}
\newcolumntype{R}[1]{){\raggedleft\arraybackslash}p{#1}}
\newcolumntype{P}[1]{){\arraybackslash}p{#1}}
\newcolumntype{B}[1]{){\arraybackslash}b{#1}}
\newcolumntype{M}[1]{){\arraybackslash}m{#1}}
\definecolor{label}{gray}{0.75}
\def\unusedattribute#1{\sout{\textcolor{label}{#1}}}
\DeclareRobustCommand*{\xref}{\hyper@normalise\xref@}
\def\xref@#1#2{\hyper@linkurl{#2}{#1}}
\begingroup
\catcode`\_=\active
\gdef_#1{\ensuremath{\sb{\mathrm{#1}}}}
\endgroup
\mathcode`\_=\string"8000
\catcode`\_=12\relax

\usepackage[a4paper,twoside,lmargin=1in,rmargin=1in,tmargin=1in,bmargin=1in,marginparwidth=0.75in]{geometry}
\usepackage{framed}

\definecolor{shadecolor}{gray}{0.95}
\usepackage{longtable}
\usepackage[normalem]{ulem}
\usepackage{fancyvrb}
\usepackage{fancyhdr}
\usepackage{graphicx}
\usepackage{marginnote}

\renewcommand{\@cite}[1]{#1}


\renewcommand*{\marginfont}{\itshape\footnotesize}

\def\Gin@extensions{.pdf,.png,.jpg,.mps,.tif}

  \pagestyle{fancy}

\usepackage[pdftitle={Harmonics Reduction of a Single Phase Half Bridge Inverter},
 pdfauthor={}]{hyperref}
\hyperbaseurl{}

	 \paperwidth210mm
	 \paperheight297mm
              
\def\@pnumwidth{1.55em}
\def\@tocrmarg {2.55em}
\def\@dotsep{4.5}
\setcounter{tocdepth}{3}
\clubpenalty=8000
\emergencystretch 3em
\hbadness=4000
\hyphenpenalty=400
\pretolerance=750
\tolerance=2000
\vbadness=4000
\widowpenalty=10000

\renewcommand\section{\@startsection {section}{1}{\z@}%
     {-1.75ex \@plus -0.5ex \@minus -.2ex}%
     {0.5ex \@plus .2ex}%
     {\reset@font\Large\bfseries}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%
     {-1.75ex\@plus -0.5ex \@minus- .2ex}%
     {0.5ex \@plus .2ex}%
     {\reset@font\Large}}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
     {-1.5ex\@plus -0.35ex \@minus -.2ex}%
     {0.5ex \@plus .2ex}%
     {\reset@font\large}}
\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
     {-1ex \@plus-0.35ex \@minus -0.2ex}%
     {0.5ex \@plus .2ex}%
     {\reset@font\normalsize}}
\renewcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}%
     {1.5ex \@plus1ex \@minus .2ex}%
     {-1em}%
     {\reset@font\normalsize\bfseries}}


\def\l@section#1#2{\addpenalty{\@secpenalty} \addvspace{1.0em plus 1pt}
 \@tempdima 1.5em \begingroup
 \parindent \z@ \rightskip \@pnumwidth 
 \parfillskip -\@pnumwidth 
 \bfseries \leavevmode #1\hfil \hbox to\@pnumwidth{\hss #2}\par
 \endgroup}
\def\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
\def\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
\def\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
\def\l@subparagraph{\@dottedtocline{5}{10em}{5em}}
\@ifundefined{c@section}{\newcounter{section}}{}
\@ifundefined{c@chapter}{\newcounter{chapter}}{}
\newif\if@mainmatter 
\@mainmattertrue
\def\chaptername{Chapter}
\def\frontmatter{%
  \pagenumbering{roman}
  \def\thechapter{\@roman\c@chapter}
  \def\theHchapter{\roman{chapter}}
  \def\thesection{\@roman\c@section}
  \def\theHsection{\roman{section}}
  \def\@chapapp{}%
}
\def\mainmatter{%
  \cleardoublepage
  \def\thechapter{\@arabic\c@chapter}
  \setcounter{chapter}{0}
  \setcounter{section}{0}
  \pagenumbering{arabic}
  \setcounter{secnumdepth}{6}
  \def\@chapapp{\chaptername}%
  \def\theHchapter{\arabic{chapter}}
  \def\thesection{\@arabic\c@section}
  \def\theHsection{\arabic{section}}
}
\def\backmatter{%
  \cleardoublepage
  \setcounter{chapter}{0}
  \setcounter{section}{0}
  \setcounter{secnumdepth}{2}
  \def\@chapapp{\appendixname}%
  \def\thechapter{\@Alph\c@chapter}
  \def\theHchapter{\Alph{chapter}}
  \appendix
}
\newenvironment{bibitemlist}[1]{%
   \list{\@biblabel{\@arabic\c@enumiv}}%
       {\settowidth\labelwidth{\@biblabel{#1}}%
        \leftmargin\labelwidth
        \advance\leftmargin\labelsep
        \@openbib@code
        \usecounter{enumiv}%
        \let\p@enumiv\@empty
        \renewcommand\theenumiv{\@arabic\c@enumiv}%
	}%
  \sloppy
  \clubpenalty4000
  \@clubpenalty \clubpenalty
  \widowpenalty4000%
  \sfcode`\.\@m}%
  {\def\@noitemerr
    {\@latex@warning{Empty `bibitemlist' environment}}%
    \endlist}

\def\tableofcontents{\section*{\contentsname}\@starttoc{toc}}
\parskip0pt
\parindent1em
\def\Panel#1#2#3#4{\multicolumn{#3}{){\columncolor{#2}}#4}{#1}}
\newenvironment{reflist}{%
  \begin{raggedright}\begin{list}{}
  {%
   \setlength{\topsep}{0pt}%
   \setlength{\rightmargin}{0.25in}%
   \setlength{\itemsep}{0pt}%
   \setlength{\itemindent}{0pt}%
   \setlength{\parskip}{0pt}%
   \setlength{\parsep}{2pt}%
   \def\makelabel##1{\itshape ##1}}%
  }
  {\end{list}\end{raggedright}}
\newenvironment{sansreflist}{%
  \begin{raggedright}\begin{list}{}
  {%
   \setlength{\topsep}{0pt}%
   \setlength{\rightmargin}{0.25in}%
   \setlength{\itemindent}{0pt}%
   \setlength{\parskip}{0pt}%
   \setlength{\itemsep}{0pt}%
   \setlength{\parsep}{2pt}%
   \def\makelabel##1{\upshape ##1}}%
  }
  {\end{list}\end{raggedright}}
\newenvironment{specHead}[2]%
 {\vspace{20pt}\hrule\vspace{10pt}%
  \phantomsection\label{#1}\markright{#2}%

  \pdfbookmark[2]{#2}{#1}%
  \hspace{-0.75in}{\bfseries\fontsize{16pt}{18pt}\selectfont#2}%
  }{}
      \def\TheFullDate{2013-01-15 (revised: 15 January 2013)}
\def\TheID{\makeatother }
\def\TheDate{2013-01-15}
\title{Harmonics Reduction of a Single Phase Half Bridge Inverter}
\author{}\makeatletter 
\makeatletter
\newcommand*{\cleartoleftpage}{%
  \clearpage
    \if@twoside
    \ifodd\c@page
      \hbox{}\newpage
      \if@twocolumn
        \hbox{}\newpage
      \fi
    \fi
  \fi
}
\makeatother
\makeatletter
\thispagestyle{empty}
\markright{\@title}\markboth{\@title}{\@author}
\renewcommand\small{\@setfontsize\small{9pt}{11pt}\abovedisplayskip 8.5\p@ plus3\p@ minus4\p@
\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip \z@ plus2\p@
\belowdisplayshortskip 4\p@ plus2\p@ minus2\p@
\def\@listi{\leftmargin\leftmargini
               \topsep 2\p@ plus1\p@ minus1\p@
               \parsep 2\p@ plus\p@ minus\p@
               \itemsep 1pt}
}
\makeatother
\fvset{frame=single,numberblanklines=false,xleftmargin=5mm,xrightmargin=5mm}
\fancyhf{} 
\setlength{\headheight}{14pt}
\fancyhead[LE]{\bfseries\leftmark} 
\fancyhead[RO]{\bfseries\rightmark} 
\fancyfoot[RO]{}
\fancyfoot[CO]{\thepage}
\fancyfoot[LO]{\TheID}
\fancyfoot[LE]{}
\fancyfoot[CE]{\thepage}
\fancyfoot[RE]{\TheID}
\hypersetup{citebordercolor=0.75 0.75 0.75,linkbordercolor=0.75 0.75 0.75,urlbordercolor=0.75 0.75 0.75,bookmarksnumbered=true}
\fancypagestyle{plain}{\fancyhead{}\renewcommand{\headrulewidth}{0pt}}

\date{}
\usepackage{authblk}

\providecommand{\keywords}[1]
{
\footnotesize
  \textbf{\textit{Index terms---}} #1
}

\usepackage{graphicx,xcolor}
\definecolor{GJBlue}{HTML}{273B81}
\definecolor{GJLightBlue}{HTML}{0A9DD9}
\definecolor{GJMediumGrey}{HTML}{6D6E70}
\definecolor{GJLightGrey}{HTML}{929497} 

\renewenvironment{abstract}{%
   \setlength{\parindent}{0pt}\raggedright
   \textcolor{GJMediumGrey}{\rule{\textwidth}{2pt}}
   \vskip16pt
   \textcolor{GJBlue}{\large\bfseries\abstractname\space}
}{%   
   \vskip8pt
   \textcolor{GJMediumGrey}{\rule{\textwidth}{2pt}}
   \vskip16pt
}

\usepackage[absolute,overlay]{textpos}

\makeatother 
      \usepackage{lineno}
      \linenumbers
      
\begin{document}

             \author[1]{Habibur  Rahman}

             \author[2]{Dr. Imran  Azim}

             \affil[1]{  }

\renewcommand\Authands{ and }

\date{\small \em Received: 10 December 2012 Accepted: 4 January 2013 Published: 15 January 2013}

\maketitle


\begin{abstract}
        


This paper presents an approach to minimize the harmonics contained in the output of a single phase half bridge inverter. With a view to reducing harmonics an LC low pass filter is used which blocks the harmonics and undeniably passes almost sinusoidal output at the output terminal. An illustration of Fourier Transform has been provided in this paper in order to perceive both the fundamental and harmonics component precisely. It has been found from simulation that the Total Harmonic Distortion (THD) before and after the application is 44.999% and 0.0183% respectively. That is why, this LC low pass filter is quite effective to reduce THD of a 1-phase half bridge inverter.

\end{abstract}


\keywords{single phase half bridge inverter, IGBT, harmonics analysis, FFT, THD, LC low pass filter, MATLAB simulation.}

\begin{textblock*}{18cm}(1cm,1cm) % {block width} (coords) 
\textcolor{GJBlue}{\LARGE Global Journals \LaTeX\ JournalKaleidoscope\texttrademark}
\end{textblock*}

\begin{textblock*}{18cm}(1.4cm,1.5cm) % {block width} (coords) 
\textcolor{GJBlue}{\footnotesize \\ Artificial Intelligence formulated this projection for compatibility purposes from the original article published at Global Journals. However, this technology is currently in beta. \emph{Therefore, kindly ignore odd layouts, missed formulae, text, tables, or figures.}}
\end{textblock*}


\let\tabcellsep& 	 	 		 
\section[{INTRODUCTION}]{INTRODUCTION}\par
c-to-ac converters are known as inverters. The function of an inverter is to change a dc voltage to a symmetric ac output voltage of desired magnitude and frequency \hyperref[b0]{[1]}. Some typical applications are variable speed ac drives, induction heating, standby power supplies, uninterruptible power supplies(UPS), traction, HVDC and so forth \hyperref[b1]{[2]}. Inverters can be broadly classified into two types such as single phase inverters and three phase inverters. The output voltage could be fixed or variable at a fixed or variable frequency. A variable output can be obtained by varying the input dc voltage and maintaining the gain of the inverter constant. The output waveforms of an ideal inverter should be sinusoidal. However, the waveforms of practical inverters are nonsinusoidal and contain certain harmonics which can be seen with ease in frequency domain. Due to the availability of high speed power semiconductor devices, the harmonic contents of output voltage can be minimized or reduced significantly by switching technique. BJTs, MOSFETs or IGBTs can be used as ideal switches to explain the power conversion techniques. But IGBT is more popular as it combines the advantages of BJTs and MOSFETs. An IGBT has high input impedance, like MOSFETs, and low on state conduction losses like BJTs \hyperref[b2]{[3]}\hyperref[b3]{[4]}. 
\section[{II. SINGLE PHASE HALF BRIDGE INVERTER}]{II. SINGLE PHASE HALF BRIDGE INVERTER}\par
A half bridge inverter consists of a three wire dc source in which V s /2 voltage is obtained across the load as seen in Figure \hyperref[fig_1]{2}. When Q 1 is turned on and Q 2 is turned off, the instantaneous voltage across the load is V s /2 as observed in Figure \hyperref[fig_1]{2}. On the other contrary, if Q 2 is turned on and Q 1 is turned off then according to figure 2. -V s /2 voltage appears across the load. The logic circuit is designed in a way that Q 1 and Q 2 are not turned on at the same. Otherwise, dc source may be shorted out. So, there must a dead time between the switches \hyperref[b5]{[6]}. \par
Instantaneous inverter output current,\par
III. 
\section[{IGBT}]{IGBT}\par
The Insulated Gate Bipolar Transistor (IGBT) is a minority-carrier device with high input impedance and Total Harmonic distortion (THD) is a measure of closeness in shape between a waveform and its fundamental component. For improvement purpose, a LC Low pass filter is appended at the output terminal that provides low harmonic impedance to ground \hyperref[b4]{[5]}. large bipolar current-carrying capability. Many designers view IGBT as a device with MOS input characteristics and bipolar output characteristic that is a voltage-controlled bipolar device. To make use of the advantages of both Power MOSFET and BJT, the IGBT has been introduced. It's a functional integration of Power MOSFET and BJT devices in monolithic form. It combines the best attributes of both to achieve optimal device characteristics \hyperref[b5]{[6]}.The IGBT \hyperref[b6]{[7,} {\ref 14]} is suitable for many applications in power electronics, especially in Pulse Width Modulated (PWM) servo and three-phase drives requiring high dynamic range control and low noise. It also can be used in Uninterruptible Power Supplies(UPS), Switched-Mode Power Supplies (SMPS), and other power circuits requiring high switch repetition rates. IGBT improves dynamic performance and efficiency and reduced the level of audible noise. It is equally suitable in resonant-mode converter circuits. Optimized IGBT is available for both low conduction loss and low switching loss. Without a hint of doubt an IGBT is the most common device chosen for new power electronics applications. It has highest capabilities up to 1700KVA, 2000V and 800A \hyperref[b7]{[8]}. IV. 
\section[{HARMONICS ANALYSIS}]{HARMONICS ANALYSIS}\par
A harmonic is a signal or wave whose frequency is an integral (whole-number) multiple of the frequency of some reference signal or wave. The term can also refer to the ratio of the frequency of such a signal or wave to the frequency of the reference signal or wave. Let f represent the main, or fundamental, frequency of an alternating current signal, electromagnetic field, or sound wave. This frequency, usually expressed in hertz, is the frequency at which most of the energy is contained, or at which the signal is defined to occur. If the signal is displayed on an oscilloscope, the waveform will appear to repeat at a rate corresponding to f Hz. As is observed, Harmonic decreases as n increases. It decreases with a factor of (1/n). Even harmonics are absent-Nearest harmonics is the 3rd. If fundamental is 50Hz, then nearest harmonic is 150Hz. Due to the small separation between the fundamental an harmonics, output low-pass filter design can be quite difficult \hyperref[b7]{[8]}.\par
The effects of harmonics are unpleasant due to the fact that these cause unbalance and excessive neutral currents. Harmonics give rise to interference in nearby communication networks and disturbance to other consumers. In electric motor drives, they cause torque pulsations and cogging \hyperref[b8]{[9]}.\par
V. 
\section[{FFT ANALYSIS}]{FFT ANALYSIS}\par
It is a linear algorithm that can take a time domain signal into the frequency domain and back. Fourier analysis allows a more intuitive look at an unknown signal in frequency domain \hyperref[b9]{[10]}.As is presented in Figure \hyperref[fig_4]{4}. the fundamental component \& the harmonic components can be understood without cumbersome. 
\section[{VI. THD}]{VI. THD}\par
Total Harmonic Distortion is a measure of distortion of a waveform. It is given by the expression  {\ref [11]} (3) Therefore, it is needless to say that THD can be defined as the ratio of the RMS value of all odd number of non fundamental frequency terms to the RMS value of the fundamental \hyperref[b10]{[12]}. 
\section[{VII.}]{VII.} 
\section[{LC LOW PASS FILTER}]{LC LOW PASS FILTER}\par
The implementation of an LC filter at the inverter ac terminals could trigger a parallel resonance which tends to amplify the harmonic voltages and currents in ac network leading, in some cases, to potential harmonic instabilities owing to the fact that the filter capacitance has a profound impact on the harmonic performance \hyperref[b7]{[8,}\hyperref[b11]{13]}. 
\section[{THD}]{THD}\par
An LC low pass filter is used to bring the harmonics into a lower state \hyperref[b8]{[9]}.  
\section[{SIMULATION AND RESULT}]{SIMULATION AND RESULT}\par
It is assumed that input voltage is 220V. Other necessary parameters are considered deliberately with assuming up to 15 th harmonics prevalent at the output so as to [Equation 1and 2] can be plotted using \hyperref[b9]{[10]}.\par
According to the illustration, Figure \hyperref[fig_6]{6}. And Figure \hyperref[fig_7]{7}. deal with the inverter output voltage in time domain and frequency domain respectively whereas inverter output current both in time domain and frequency domain have been demonstrated in Figure \hyperref[fig_8]{8} and Figure \hyperref[fig_9]{9} respectively.    There is no denial that too much harmonics exist at the output even though fundamental frequency is 60Hz. In this case applying [Equation 3] obtained THD is 44.999\% which is unquestionably excessive and is needed to be mitigated for better performance. Thence, An LC low pass filter is connected with the load and the output is taken across the capacitance having 10000F value so that it has an effect on the present harmonics.\par
Finally, the output is plotted using \hyperref[b9]{[10]} again and nearly a sinusoidal response is observed which has been depicted in Figure \hyperref[fig_0]{10}. Furthermore, from frequency domain response described in Figure \hyperref[fig_0]{11}, it is found that the fundamental component has the highest amplitude.  
\section[{IX.}]{IX.}\par
At normal condition, when up to 15 th harmonics are considered then there exists 44.999\% THD. But as soon as an LC low pass filter is implemented it has been dropped to 0.0183\%. Therefore, a vast improvement has been noticed.\par
A single phase half bridge inverter finds an extensive utilization in variable speed ac drives, induction heating, standby power supplies, uninterruptible power supplies(UPS), traction, HVDC, grid connection of renewable energy sources and so on due to simple design and cost effective aspects. However, unlike single phase full bridge inverter the maximum ac voltage is limited half the value of full dc voltage source. Again it may need a center tapped source. Now, if it is intended to get higher ac voltage then a step up transformer can be used.\par
In coming days, using this concept, the output responses of single phase full bridge inverter can be observed as well as the harmonics occurred at the output can be minimized by applying LC low pass filter. An implementation of 2 nd order LC low pass filter would be interesting in this case.\begin{figure}[htbp]
\noindent\textbf{1}\includegraphics[]{image-2.png}
\caption{\label{fig_0}Figure 1 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{2}\includegraphics[]{image-3.png}
\caption{\label{fig_1}Figure 2 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{3}\includegraphics[]{image-4.png}
\caption{\label{fig_3}Figure 3 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{4}\includegraphics[]{image-5.png}
\caption{\label{fig_4}Figure 4 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{5}\includegraphics[]{image-6.png}
\caption{\label{fig_5}Figure 5 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{6}\includegraphics[]{image-7.png}
\caption{\label{fig_6}Figure 6 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{7}\includegraphics[]{image-8.png}
\caption{\label{fig_7}Figure 7 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{8}\includegraphics[]{image-9.png}
\caption{\label{fig_8}Figure 8 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{9}\includegraphics[]{image-10.png}
\caption{\label{fig_9}Figure 9 :}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{1011}\includegraphics[]{image-11.png}
\caption{\label{fig_10}Figure 10 :Figure 11 :}\end{figure}
 			\footnote{© 2013 Global Journals Inc. (US)} 		 		\backmatter  			  				\begin{bibitemlist}{1}
\bibitem[Singh et al. ()]{b8}\label{b8} 	 		‘A Review of Active Filters for Power Quality Improvement’.  		 			Bhim Singh 		,  		 			Ambrish Al-Haddad 		,  		 			Chandra 		.  	 	 		\textit{IEEE Transactions on Industrial Electronics}  		1999. 46  (5)  p. .  	 
\bibitem[Bedford and Hoft ()]{b0}\label{b0} 	 		 			B Bedford 		,  		 			R Hoft 		.  		\textit{Principle of Inverter Circuits},  				 (Newyork)  		1964. John Wiley \& sons.  	 
\bibitem[Devis Fewson, Introduction to Power Electronics ()]{b2}\label{b2} 	 		\textit{Devis Fewson, Introduction to Power Electronics},  		1998. Inc., Newyork: Oxford university Press.  	 
\bibitem[Dr and Salam ()]{b3}\label{b3} 	 		 			Dr 		,  		 			Salam 		.  		\textit{Power Electronics And Drives},  				2002.  	 
\bibitem[11. A.J. Onah (2012)]{b9}\label{b9} 	 		‘Harmonics: Generation And Suppression In AC System Networks’.  	 	 		\textit{Nigerian Journal of Technology}  		11. A.J. Onah (ed.)  		November, 2012. 31  (3)  p. .  	 	 (Simulation Using MATLAB) 
\bibitem[Thompson ()]{b6}\label{b6} 	 		\textit{Introduction to Power Electronics},  		 			Marc T Thompson 		.  		2007. Thompson Consulting Inc.  	 
\bibitem[Vodovoboz ()]{b10}\label{b10} 	 		\textit{Introduction To Power Electronics},  		 			Valery Vodovoboz 		.  		2010. Ventus Publishing Aps.  	 
\bibitem[Khanna]{b5}\label{b5} 	 		 			Vinod Kumar Khanna 		.  		\textit{Insulated Gate Bipolar Transistor(IGBT): Theory And Design},  				Wiley-Interscience.  	 
\bibitem[Langton ()]{b4}\label{b4} 	 		 			Charan Langton 		.  		\textit{Fourier Transform made Easy Part1},  				2011.  	 	 (Revised Edition) 
\bibitem[Albanna (ed.) ()]{b7}\label{b7} 	 		\textit{Modeling And Simulation of Hysteresis Current Controlled Inverters Using MATLAB},  		 			Ahmad Albanna 		.  		Tech (ed.)  		2011.  	 
\bibitem[Muhammad and Rashid]{b1}\label{b1} 	 		\textit{Power Electronics Circuits, Devices, and Apllications, Third Edition},  		 			H Muhammad 		,  		 			Rashid 		.  		Dorling Kindersley Pvt.Ltd.  	 
\bibitem[Steeper and Stratford ()]{b11}\label{b11} 	 		‘Reactive Compensation and Harmonic Suppression for Industrial Power Systems Using Thyristor Converters’.  		 			D E Steeper 		,  		 			R P Stratford 		.  	 	 		\textit{IEEE Transactions on Industry Applications}  		1976. 12 p. .  	 
\end{bibitemlist}
 			 		 	 
\end{document}
