ade lab second cycle final.doc
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7/27/2019 ade lab second cycle final.doc
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Experiment 1
SPEED CONTROL OF DC MOTOR
AIM
To design and simulate the speed control of a DC motor
THEORY
Transfer characteristic block diagram of a separately excited motor is shown in figure
Consider an equivalent circuit of a DC motor
By using KV
Va!ia"#a$a%dia&dt'$(
)nd T!Kt" ia
K("*!(
+here
Va! terminal voltage
ia!)rmature current
a! )rmature inductance
(! Back (,-
T! Torque
*! angular velocity
.
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%parameters
Wr=1000
J=30
Ra=.01
La=300*(10^-6)Ta=La/Ra
G=230/300
fc=2000
fr=2*fc
Ts=1/fc
Td=Ts/2
2=(10/!00)
T2=1/(2*p"*(fr/10))
Tc=Ta
s"#=Td$T2
c=(Ra*Tc)/(2*s"#*G*2)
&=1.'3
1=1T1=2*(10^-3)
de=(2*s"#)$T1
T='*de
a=2
=(2*J)/(1*(&)*a*de)
SIMULINK MODEL
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PROCEDURE
/pen simulink library and a new model
Drag and drop the simulink blocks required
Connect the blocks as shown in figure
/pen the properties of each block and change the parameters.
+rite down the values in an , file
#un the , file and then the simulink
Verify the output waveforms
RESULT
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Experiment 2
THREE PHASE RECTIFIER AND SINE PWM INVERTER
AIM
To simulate a three phase rectifier and a sine 0+, three phase inverter %123 3 and 1433mode'
with #5# load using matlab simulink.
THEORY
) three phase rectifier is shown in figure.
The standard three6phase V78 topology is shown in figure. )s in single6phase V78s9 the
switches of any leg of the inverter %71 and 7:9 7; and 7
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SIMULINK MODEL OF THREE PHASE RECTIFIER
SIMULINK MODEL OF THREE PHASE SINE PWM INVERTER
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PWM ENERATION
PROCEDURE
/pen simulink library and a new model
Drag and drop the simulink blocks required
Connect the block as shown in figure
/pen the properties of each block and change the parameters and run the simulation
Verify the output waveforms
RESULT
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Experiment !
SINLE PHASE RECTIFIER AND INVERTER
AIM
To simulate single phase rectifier and inverter using matlab simulink
THEORY
-igure shows the power topology of a single phase full6bridge V78. This inverter is similar to
the half6bridge inverter> however9 a second leg provides the neutral point to the load. )s expected9
both switches 71. and 71? %or 72. and 72?' cannot be on simultaneously because a short circuit
across the dc link voltage source vi would be produced. 7everal modulating techniques have been
developed that are applicable to full6bridge V78s. )mong them the sine 0+, is most preferred.
-igure shows a fully controlled bridge rectifier9 which uses four thyristors to control the
average load voltage. Thyristors T1 and T2 must be fired simultaneously during the positive half
wave of the source voltage Vs so as to allow conduction of current. )lternatively9 thyristors T; and
T: must be fired simultaneously during the negative half wave of the source voltage. To ensure
simultaneous firing9 thyristors T1 and T2 use the same firing signal.
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Sim"#in$ m%&e# %' in(erter
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Sim"#in$ m%&e# %' re)ti'ier
PROCEDURE
/pen simulink library and a new model
Drag and drop the simulink blocks required
Connect the blocks as shown in figure
/pen the properties of each block and change the parameters and run the simulation
Verify the waveforms
RESULT
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Experiment N%* +
MODELLIN OF ,UCK CONVERTER
AIM
To design and model a buck converter using ,)T)B
THEORY
Buck converter is a DC6DC converter used to step down the Dc voltage. The input output voltage
relation of buck converter is Vo ! DVin9 +here D is the duty ratio. The circuit diagram of a buck
converter is shown in figure.
During switch on9
V!Vin6Vo
By using Kirchoff@s law
Vin ! di&dt $ Vo
Taking laplace transform9
Vin%7' ! 78%7' $ Vo%7'
8%7' ! AVin%7' Vo%7' & 7
During switch off9
V ! 6Vo
8 ! 8o $ 8c
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ie9 8 Vo& # ! 8c
Taking laplace transform9
8c%7' ! 8o%7' Vo%7'
)lso Vo ! Vc! 1&C
Taking laplace transform9
Vo%7' ! %7'
Sim"#in$ m%&e# %' -")$ )%n(erter
. p/r/meter0
!1e6;>
C!1e6
#!13>
PROCEDURE
RESULT
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Experiment N%*
CLOSED LOOP CONTROL OF SECOND ORDER SYSTEM USIN PID CONTROLLER
AIM
1. To convert transfer function model to state space model and vice6versa using ,)T)B
2. To convert transfer function model to ero6pole model and vice6versa using ,)T)B
;. To covert continuous systems to discrete systems. )lso draw root locus and Eyquist plot using
,)T)B
:. To make a closed loop control of second order system using 08D controller and tune the 08D
parameters for a settling time of = seconds.
THEORY PID )%ntr%##er3
The proportional9 integral9 and derivative terms are summed to calculate the output of the 08D
controller. Defining u%t'as the controller output9 the final form of the 08D algorithm is
+here
F 0roportional gain9 a tuning parameter
F 8ntegral gain9 a tuning parameter
F Derivative gain9 a tuning parameter
F (rror
F Time or instantaneous time %the present'
F Variable of integration> takes on values from time 3 to the present .
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Pr%4r/m Tr/n0'er '"n)ti%n t% 0t/te 0p/)e3
clc>
num ! A1>
den ! A1 1 1>
t ! tf%num9dem'
A) B C D ! tf2ss%num9den'
Pr%4r/m St/te 0p/)e t% tr/n0'er '"n)ti%n3
clc>
) ! A61 61> 1 3>
B ! A1>3>
C ! A3 1>
D ! 3>
7 ! ss%)9B9C9D'
Anum9dem ! ss2tf%)9B9C9D'
T ! tf%num9den'
Pr%4r/m Tr/n0'er '"n)ti%n t% 5er%6p%#e3
clc>
n!A1 1>
d!A1 =
t!tf%n9d'
A9p9k!tf2p%n9d'
Pr%4r/m7er%6p%#e t% tr/n0'er '"n)ti%n 3
clc>
!A61
p!A62 6;
k!1
An9d!p2tf%9p9k'
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T!tf%n9d'
Pr%4r/mC%ntin"%"0 t% &i0)rete3
clc>
n!A1 1
d!A1 =
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Experiment :
FRE;UENCY RESPONSE OF LA AND LEAD NETWORK
AIM
To plot the frequency response and pole ero map of lag and lead networks
THEORY
) lag compensator is a device that provides phase lag in its frequency response. 8f the
compensator has phase lag 6 and never a phase lead 6 then there are implications about where the
corner frequencies are in the Bode plot. /ther implications are that the phase lag compensator will
have only certain types of pole6ero patterns in the s plane.
+here9 TG3 and bG1 the condition is %1&T' G %1&bT'
-requency response of lag network
) lead compensator is a device that provides phase lead in its frequency response. 8f the
compensator has phase lead 6 and never a phase lag 6 then there are implications about where the
corner frequencies are in the Bode plot. /ther implications are that the phase lead compensator will
have only certain types of pole6ero patterns in the s plane.
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+here9 TG3 and aH1 the condition is %1&T' H%1&aT'
-requency response of lead network
Consider a lag network with pole at 63.= and ero at61 and a lead network with pole at 61 and ero
at63.=
PRORAM
L/4 net
b!A1 .=>
g!tf%a9b'>
bode%g'9grid
pmap%g'
Le/& net
b!A1 1>
g!tf%a9b'>
bode%g'9grid
pmap%g'
PROCEDURE
Design a lag and lead n&w with appropriate pole ero configuration
+rite the matlab program9 run the program and verify the waveforms
RESULT