.MCAD 304020000 1 76 224 0
.CMD PLOTFORMAT
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
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0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
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0 1 1 21 15 0 0 3 
.CMD FORMAT  rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 0.983333 1.200000 1.200000 0
.CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty*
.CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFAULT_TEXT_PARPROPS 0 0 0
.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text
.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1
.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3
.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4
.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5
.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7
.CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=12 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=12 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=2 family=Times^New^Roman points=12 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD UNITS U=1
.CMD DIMENSIONS_ANALYSIS 0 0
.CMD COLORTAB_ENTRY 0 0 0
.CMD COLORTAB_ENTRY 128 0 0
.CMD COLORTAB_ENTRY 0 128 0
.CMD COLORTAB_ENTRY 128 128 0
.CMD COLORTAB_ENTRY 0 0 128
.CMD COLORTAB_ENTRY 128 0 128
.CMD COLORTAB_ENTRY 0 128 128
.CMD COLORTAB_ENTRY 128 128 128
.CMD COLORTAB_ENTRY 192 192 192
.CMD COLORTAB_ENTRY 255 0 0
.CMD COLORTAB_ENTRY 0 255 0
.CMD COLORTAB_ENTRY 255 255 0
.CMD COLORTAB_ENTRY 0 0 255
.CMD COLORTAB_ENTRY 255 0 255
.CMD COLORTAB_ENTRY 0 255 255
.CMD COLORTAB_ENTRY 255 255 255
.TXT 5 4 2 0 0
Cg a70.000000,70.000000,73
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\cf2 STEADY-STATE ANALYSIS OF A THREE-PHASE FULLY-CCONTROLLED\par 
RECTIFIER BRIDGE}}
.EQN 4 -1 1 0 0
{Microsoft_Windows 0 25376}
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.TXT 51 0 5 0 0
Cg a71.000000,71.000000,629
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Times New Roman;}{\f1\fcharset2\fnil Symbol;}}
\plain\cf1\fs24 \pard {\cf2 In this program, the bridge rectifier 
circuit is analysed.  The program presents the\par following:\par \par 
i.     the plot of average output voltage as a function of firing 
angle }{\cf2\f1 a}{\cf2 ,\par ii.    the plot of  ripple content in 
output as a function of firing angle }{\cf2\f1 a}{\cf2 ,\par iii.   
the plot of rms value of line current as a function of firing angle }{
\cf2\f1 a}{\cf2 ,\par iv.   the plot of THD of line current as a 
function of firing angle }{\cf2\f1 a}{\cf2 , and\par v.    tables 
containing the details of harmonics in line current and output \par        
voltage.\par \par The analysis is carried out for a specified time 
constant of the load circuit.  \par Let }{\cf2\f1 t}{\cf2  = wL/R.   
Let  it be called 'Ratio' at first.}}
.EQN 30 0 170 0 0
{0:Ratio}NAME:1
.EQN 4 0 171 0 0
{0:\t}NAME:{0:if}NAME({0:Ratio}NAME>0.025,{0:Ratio}NAME,0.025)
.EQN 5 0 172 0 0
{0:\f}NAME:{0:atan}NAME({0:\t}NAME)
.EQN 12 -1 173 0 0
{0:Z}NAME:\(1+({0:\t}NAME)^(2))
.EQN 5 0 174 0 0
{0:m}NAME:0,2;90
.TXT 4 0 175 0 0
Cg a71.000000,71.000000,46
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 The firing angle in degrees is specified by m.}}
.EQN 5 0 176 0 0
({0:\a}NAME)[({0:m}NAME):({0:m}NAME)/(180)*{0:\p}NAME
.TXT 6 0 177 0 0
Cg a72.000000,72.000000,362
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 It is necessary to obtain the correct coefficient for the 
exponential part of the \par response.  It can be determined by 
checking whether the current in the load\par is continuous.  For 
discontinuous conduction, the current through the load at\par the 
instant of triggering is zero and that 60}{\cf2\up o}{\cf2  later is 
negative. Thus the proper\par value for the coefficent can be 
obtained.  }}
.EQN 21 0 178 0 0
({0:A1}NAME)[({0:m}NAME):(\(3))/({0:Z}NAME)*({0:sin}NAME((2*{0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME)-{0:\f}NAME)-{0:sin}NAME(({0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME)-{0:\f}NAME))/(1-({0:e}NAME)^(-(({0:\p}NAME)/(3*{0:\t}NAME))))
.EQN 15 0 179 0 0
({0:A2}NAME)[({0:m}NAME):(\(3))/({0:Z}NAME)*{0:sin}NAME((2*{0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME)-{0:\f}NAME)-(\(3))/({0:Z}NAME)*{0:sin}NAME(({1:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME)-{0:\f}NAME)*({0:e}NAME)^(-(({0:\p}NAME)/(3*{0:\t}NAME)))
.EQN 15 0 180 0 0
({0:A0}NAME)[({0:m}NAME):{0:if}NAME(({0:A2}NAME)[({0:m}NAME)<0.0,-((\(3))/({0:Z}NAME)*{0:sin}NAME(({0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME)-{0:\f}NAME)),({0:A1}NAME)[({0:m}NAME))
.TXT 9 0 181 0 0
Cg a72.000000,72.000000,327
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 To calculate the rms and the average values of output voltage and 
rms value of\par line current, it is necesssary to determine when the 
load current becomes zero.  \par The load current can become zero if 
the firing angle is aboe 60}{\cf2\up o}{\cf2 .   A function is\par 
written below which  is called to find out the angle when the current 
becomes \par zero.}}
.EQN 24 0 182 0 0
{0:FinalAng}NAME({0:Fang}NAME,{0:\l}NAME):((((({0:Imp}NAME){72}(\(1+({0:\l}NAME)^(2)))){71}(({0:K}NAME){72}((\(3))/({0:Imp}NAME)*{0:sin}NAME(({0:\p}NAME)/(3)+({0:Fang}NAME)/(180)*{0:\p}NAME-{0:atan}NAME({0:\l}NAME))))){71}(({0:\s}NAME){72}(1))){71}(
({0:val}NAME){72}(0))){71}(((({0:\s}NAME){72}({0:\s}NAME+1)){71}(({0:val}NAME){72}({0:if}NAME({0:\s}NAME<60,{0:\s}NAME,60)))){74}((((\(3))/({0:Imp}NAME)*{0:sin}NAME(({0:\p}NAME)/(3)+({0:Fang}NAME+{0:\s}NAME)/(180)*{0:\p}NAME-{0:atan}NAME({0:\l}NAME)
)-{0:K}NAME*({0:e}NAME)^(-(({0:\s}NAME*{0:\p}NAME)/(180*{0:\l}NAME))))>0)))
.EQN 39 1 183 0 0
({0:\b}NAME)[({0:m}NAME):{0:if}NAME({0:m}NAME<61,({0:\p}NAME)/(3),0.0)
.EQN 9 0 191 0 0
({0:\b}NAME)[(62):({0:\p}NAME)/(180)*{0:FinalAng}NAME(62,{0:\t}NAME)
.EQN 9 0 192 0 0
({0:\b}NAME)[(64):({0:\p}NAME)/(180)*{0:FinalAng}NAME(64,{0:\t}NAME)
.EQN 7 0 193 0 0
({0:\b}NAME)[(66):({0:\p}NAME)/(180)*{0:FinalAng}NAME(66,{0:\t}NAME)
.EQN 8 0 194 0 0
({0:\b}NAME)[(68):({0:\p}NAME)/(180)*{0:FinalAng}NAME(68,{0:\t}NAME)
.EQN 7 0 195 0 0
({0:\b}NAME)[(70):({0:\p}NAME)/(180)*{0:FinalAng}NAME(70,{0:\t}NAME)
.EQN 9 0 197 0 0
({0:\b}NAME)[(72):({0:\p}NAME)/(180)*{0:FinalAng}NAME(72,{0:\t}NAME)
.EQN 14 0 198 0 0
({0:\b}NAME)[(74):({0:\p}NAME)/(180)*{0:FinalAng}NAME(74,{0:\t}NAME)
.EQN 9 0 199 0 0
({0:\b}NAME)[(76):({0:\p}NAME)/(180)*{0:FinalAng}NAME(76,{0:\t}NAME)
.EQN 9 0 200 0 0
({0:\b}NAME)[(78):({0:\p}NAME)/(180)*{0:FinalAng}NAME(78,{0:\t}NAME)
.EQN 9 0 201 0 0
({0:\b}NAME)[(80):({0:\p}NAME)/(180)*{0:FinalAng}NAME(80,{0:\t}NAME)
.EQN 8 0 202 0 0
({0:\b}NAME)[(82):({0:\p}NAME)/(180)*{0:FinalAng}NAME(82,{0:\t}NAME)
.EQN 10 0 203 0 0
({0:\b}NAME)[(84):({0:\p}NAME)/(180)*{0:FinalAng}NAME(84,{0:\t}NAME)
.EQN 10 0 204 0 0
({0:\b}NAME)[(86):({0:\p}NAME)/(180)*{0:FinalAng}NAME(86,{0:\t}NAME)
.EQN 8 0 205 0 0
({0:\b}NAME)[(88):({0:\p}NAME)/(180)*{0:FinalAng}NAME(88,{0:\t}NAME)
.EQN 10 0 206 0 0
({0:\b}NAME)[(90):({0:\p}NAME)/(180)*{0:FinalAng}NAME(90,{0:\t}NAME)
.EQN 11 0 207 0 0
({0:VAvgOut}NAME)[({0:m}NAME):(3*\(3))/({0:\p}NAME)*(0&({0:\b}NAME)[({0:m}NAME)`{0:sin}NAME({0:x}NAME+({0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME))&{0:x}NAME)
.EQN 20 -1 208 0 0
{0:y}NAME({0:x}NAME):{0:sin}NAME({0:x}NAME+({0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME))
.EQN 13 0 209 0 0
({0:VRMSOut}NAME)[({0:m}NAME):\((3*{0}3)/({0:\p}NAME)*(0&({0:\b}NAME)[({0:m}NAME)`(({0:y}NAME({0:x}NAME)))^(2)&{0:x}NAME))
.TXT 11 2 210 0 0
Cg a70.000000,70.000000,77
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 The plot of the average value of output voltage as a function of 
firing angle}}
.EQN 7 0 211 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:VAvgOut}NAME)[({0:m}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:m}NAME)/(90)
0 1 1 1 0 6 0 1 1 
0 1 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 44 26 16 0 3 
.TXT 43 0 212 0 0
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\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 The plot of ripple content in output Voltage}}
.EQN 8 0 213 0 0
({0:VRipOut}NAME)[({0:m}NAME):((\(((({0:VRMSOut}NAME)[({0:m}NAME)))^(2)-((({0:VAvgOut}NAME)[({0:m}NAME)))^(2)))/(({0:VAvgOut}NAME)[(0)))
.EQN 15 1 113 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:VRipOut}NAME)[({0:m}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:m}NAME)/(90)
0 1 1 1 0 6 0 1 1 
0 1 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 45 24 16 0 3 
.TXT 40 -2 214 0 0
Cg a71.000000,71.000000,37
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\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 The plot of rms value of Line Current}}
.EQN 7 0 215 0 0
{0:Cur1}NAME({0:x}NAME):(\(3))/({0:Z}NAME)*{0:sin}NAME(({0:\p}NAME)/(3)+({0:\a}NAME)[({0:m}NAME)+{0:x}NAME-{0:\f}NAME)+({0:A0}NAME)[({0:m}NAME)*({0:e}NAME)^(-(({0:x}NAME)/({0:\t}NAME)))
.EQN 13 0 216 0 0
({0:LineCurRMS}NAME)[({0:m}NAME):\((2)/({0:\p}NAME)*(0&({0:\b}NAME)[({0:m}NAME)`({0:Cur1}NAME({0:x}NAME))^(2)&{0:x}NAME))
.EQN 10 0 217 0 0
{0:Cur2}NAME({0:x}NAME):{0:Cur1}NAME({0:x}NAME)*{0:sin}NAME(({0:\p}NAME)/(6)+({0:\a}NAME)[({0:m}NAME)+{0:x}NAME)
.EQN 8 0 218 0 0
{0:Cur3}NAME({0:x}NAME):{0:Cur1}NAME({0:x}NAME)*{0:sin}NAME(({0:\p}NAME)/(2)+({0:\a}NAME)[({0:m}NAME)+{0:x}NAME)
.EQN 9 0 219 0 0
{0:Cur4}NAME({0:x}NAME):{0:Cur1}NAME({0:x}NAME)*{0:cos}NAME(({0:\p}NAME)/(6)+({0:\a}NAME)[({0:m}NAME)+{0:x}NAME)
.EQN 8 0 220 0 0
{0:Cur5}NAME({0:x}NAME):{0:Cur1}NAME({0:x}NAME)*{0:cos}NAME(({0:\p}NAME)/(2)+({0:\a}NAME)[({0:m}NAME)+{0:x}NAME)
.EQN 17 0 136 0 0
({0:funsine}NAME)[({0:m}NAME):(2)/({0:\p}NAME)*((0&({0:\b}NAME)[({0:m}NAME)`({0:Cur2}NAME({0:x}NAME)+{0:Cur3}NAME({0:x}NAME))&{0:x}NAME))
.EQN 11 0 137 0 0
({0:funcosine}NAME)[({0:m}NAME):(2)/({0:\p}NAME)*((0&({0:\b}NAME)[({0:m}NAME)`({0:Cur4}NAME({0:x}NAME)+{0:Cur5}NAME({0:x}NAME))&{0:x}NAME))
.EQN 12 0 138 0 0
({0:FundRMSCur}NAME)[({0:m}NAME):\((((({0:funsine}NAME)[({0:m}NAME)))^(2)+((({0:funcosine}NAME)[({0:m}NAME)))^(2))/(2))
.EQN 11 0 221 0 0
({0:THD}NAME)[({0:m}NAME):\(((((({0:LineCurRMS}NAME)[({0:m}NAME))/(({0:FundRMSCur}NAME)[({0:m}NAME))))^(2)-1))
.TXT 8 0 223 0 0
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\fonttbl{\f0\fcharset0\fnil Times New Roman;}}\plain\cf1\fs24 \pard {
\cf2 The plots of total rms, fundamental rms and THD for the Line Current}}
.EQN 4 1 224 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:LineCurRMS}NAME)[({0:m}NAME),({0:FundRMSCur}NAME)[({0:m}NAME),({0:THD}NAME)[({0:m}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:m}NAME)/(90)
0 1 1 1 0 6 0 1 1 
0 1 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 1 3 0 1 1 NO-TRACE-STRING
0 1 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 41 29 16 0 3