by S K Rai Electronics Engineering Department BKBIET, CEERI Road Pilani (Raj.)-333 031 Q.

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Transcript by S K Rai Electronics Engineering Department BKBIET, CEERI Road Pilani (Raj.)-333 031 Q.

by
S K Rai
Electronics Engineering Department
BKBIET, CEERI Road
Pilani (Raj.)-333 031
Q. Why DC Power Supply?
Q. Source of DC………..
Q. What is regulation?
It is the process to maintain the terminal voltage as constant
even if input voltage varies or load current is varying.
Q. When regulation is required?
EE2603-01
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Electronic Circuit Analysis
DC Power Supply
DC Power supply is a circuit that provides a steady dc voltage obtained by rectifying
the ac voltage. The following is the block diagram of a power supply stage.
Step-down
transformer
High ac
voltage
Low ac
voltage
High ripple
dc voltage
Vm




Ripple
Filter
Rectifier
Voltage
regulator
Low ripple
dc voltage



Pure constant
dc voltage
Vm
Vm

Load using
dc voltage
Vdc








n:1+1
Vac
fS

C
Ri
VZ
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Electronic Circuit Analysis
IB
0.7
RL
IL
Vdc




Ripple and dc voltage
n:1+1
Vac=220V
f=50Hz
Vmax
Idc
Vmax
C
Vmax
VO V= - m2t2 V= m1t1
RL
Vmin
Vdc
V is higher
for high Idc
dc voltage  Vmax 
V
2
 ( from slope )  V 
 dc voltage Vdc  Vmax 
I dc
2 fC
I dc
t2

of ac voltage 





t1
T
Ripple voltage ( rms ) 
( from slope )   V 
4 fC
V

 where I dc  dc , f  frequency
RL


Vac  2

 and Vmax 
n

Vdc
V
V
2 3
( triangular
I dc
2 fC
 Ripple voltage Vr ( rms ) 
I dc
4 fC 3

Vdc
 where I

and f  frequency
dc

R
L

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Electronic Circuit Analysis
wave )

of ac voltage 


Ripple Factor
We have Vr ( rms ) 
Ripple factor
r 
Idc
Vr ( rms )
Vdc
Vdc
and I dc 
4 fC 3

Vmax
Vdc  4 fC 3

1

1
Vdc  1 

4 fR L C

Vdc 
31 . 1
1 . 05
(c) r 
I dc
4 fC
 220 2
 
 Vdc

10


220
10
2

Vdc

t2
T
10:1+1
4 fR L C 3

Idc
Vmax
Vac=220V
f=50Hz
C
RL
100 1k
Vdc
F
Vmax
4 fR L C

1
 1 
4  50  1k  100 


  31 . 1V

( b ) Ripple voltage Vr ( rms ) 

1
t1
Vdc
 29 . 6 V
Vr ( rms )
Vmin
4 fR L C 3
Example:
Given the Power supply circuit shown,
find (a) output dc voltage Vdc (b)
output ripple voltage Vr (rms) (c) ripple
factor “r”
( a ) dc voltage Vdc  Vmax 
Vdc
V
RL
Idc
VO V= - m2t2 V= m1t1
1
4  50  1k  100  F
29 . 6
1k  4  50  100  
 0 . 05  5 %
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Electronic Circuit Analysis
3
I dc
4 fC 3
 0 . 85 V

Vdc
R L  4 fC 3
RC Filter in Power Supply
VC1
n:1+1
t
Idc
Idc
Vmax
Vac=220V
f=50Hz
VC2
C1
Vmax
R
Vdc1
t
If C 2 is in  F and X C 2 is in k 
CR2LVdc2 RL
XC2 
XC2 
Vdc 1 can be found from Vdc 1  Vmax 
ripple r1 
V1 ( rms )
VC1
Vdc 1
V1 ( rms ) can be found
I dc
4 fC 1
VC2
C2
t
from V1 ( rms ) 
I dc
4 fC 1
3
C2
1 .3
C2
k  ( for f  60 Hz ) or

60
50
C 2 opens for dc  Vdc 2  Vdc 1 
V1(rms)
R
1 .3
RL

C2
k  ( for f  50 Hz )
RL
R  RL
V2(rms)
ripple r2 
t
V2 ( rms )  V1 ( rms ) 
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Electronic Circuit Analysis
1 . 56
XC2
R
V2 ( rms )
Vdc 2
Series Voltage Regulators
n:1+1
Vac=220V
f=50Hz
Idc
Vmax
C1
Vmax
Series voltage regulator
Vi
Vo Regulated power supply
R
RL
VZ
Unregulated power supply
Vm
Vdc
Vdc





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Electronic Circuit Analysis



Example:
Given the Series regulator circuit shown, find (a) output dc voltage Vo (b) Zener
current IZ
(3 ) I L 
IB 
50
Vi
20V
(2 ) IR 
20 V  12 V
0 . 22 k 
 36 . 4 mA
R
0.22k
VZ
12V
-
0.7V
+
+
-
+
11 . 3V
1k 
11 . 3 mA
50
 11 . 3 mA
 0 . 226 mA
Vo=?
RL (1) Vo
 VZ  0 . 7  12  0 . 7  11 . 3V
1k
-
IZ=?
( 4 ) I Z  I R  IB  36 . 4  0 . 226  36 . 174 mA
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Electronic Circuit Analysis
Improved Series Regulator
Analysis of the Improved Series Regulator
+
Vi
VB 1  Vo  0 . 7
IR4
Vi  VB 1
IR 4 
 I C 2  IB1
R4
IB1 
IL
1
-
VCE1
Q1
Q2
2
IR1
-
+
-
& I C 2   2 IB 2
IB 2  I Z 
0 .7
R3
R3 
VZ
R3
0.7V

IL
IB1
VB1
R4
IC
IL
0 .7
R3
I Z  0 .1IR 1
+
R1
+
-
+
-
R2
-
but I B 2  0 . 1 I Z
0 .7
0 .9 I Z
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Electronic Circuit Analysis
IR 1  0 .1I L
Vo
RL
+
 I Z  0 .1I Z  0 .9 I Z
&
VR 2  Vo 
R2

R1
 Vo  VR 2   1 

R1  R 2
R2





VR 2  VZ  0 . 7
IC Series Regulator
n:1+1
Vac=220V
f=50Hz
Idc
Vmax
Vmax
IC Series Regulator
Vi
C1
R3
VZ
Because Ii=0, a small power Zener
may be used to regulate the whole
load current in RL
Ii=0
VZ
R1
+
VZ

R2
Vo
RL
Ii=0
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Electronic Circuit Analysis
VR 2  VZ  Vo 
R2

R1
 Vo  VZ   1 

R1  R 2
R2





Current-limiting IC Series Regulator
Analysis of the Circuit
Vi
RSC
Q1
R3
Ii=0
+
VZ

VZ
IB1
+

+ IL 

Q
IC2
2
IO
High IL IL
+
R1
VZ
+ Vo

+
RL


R2
Ii=0
1. Vi and R3 will produce regulated voltage VZ
2. Because of the Op. Amp. Property, VZ will present at the junction of R1 and R2
3. VZ=VR2 will result Vo which will be higher than VZ
4. Normal value of IL will produce normal VBE at Q2 whose collector current is small so
that Io from IC will go mostly to IB1
5. High value of IL will produce high VBE at Q2
6. Q2 collector current IC2 becomes large so that Io from IC will go mostly to IC2
reducing IB1 and consequently IL down to the limited current value.
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Electronic Circuit Analysis
Shunt Voltage Regulators
n:1+1
Vac=220V
f=50Hz
Idc
Vmax
C1
Vmax
Vi
+
voltage regulator
RShunt
s 
Vo Regulated power supply
+
VZ
+
RL


+
Unregulated power supply
Vo = VZ+VBE = Regulated voltage
VBE

Vdc
Vm
Vdc








VRs = Vi – VZ – VBE which is constant if Vi is constant
IRs = (VRs/Rs) is also constant
IC = IRs will all flow through BJT (when no load RL and BJT is hot)
if load RL is connected IRs will mostly drain by the load RL
making IC small (when there is load BJT is cold)
Therefore Shunt Regulators are suitable to supply
circuits where RL is always connected.
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Electronic
Circuit
Analysis
IC Shunt Voltage Regulator
n:1+1
Vac=220V
f=50Hz
Idc
Vmax
C1
Vmax
Unregulated power supply
Vm


Rs
R3
VZ
Vdc

IC Shunt voltage regulator
Vi

Ii=0
VZ
+

Vo
+
VZ
Regulated power supply
R1
RL

R2
Vdc

Ii=0
R




R 



2
1
Because Ii=0, a small power Zener
VR 2  VZ  Vo 
 Vo  VZ   1 

R1  R 2
R2

may be used to regulate the whole
load current in RL
VRs = Vi – Vo which is constant if Vi is constant
IRs = (VRs/Rs) is also constant
IC = IRs will all flow through BJT (when no load RL and BJT is hot)
if load RL is connected IRs will mostly drain by the load RL
making IC small (when there is load BJT is cold)
Therefore Shunt Regulators are suitable to supply
circuits where RL is always connected.
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Electronic Circuit Analysis
Voltage Regulator IC
Fixed Positive Voltage Regulator IC
n:1+1
Vac=220V
f=50Hz
Idc
Vmax
+Vi
C1
Vmax
Voltage regulator IC
1
7812
C2 is a high frequency
filter (C2 < 0.1F)
Regulated power supply +12V
2
C2
RL
3
Unregulated power supply
C1 is a ripple filter
capacitor (C1 > 100F)
Vo=+12V
Vm
Vdc



Vdc


IC Part Number
Output Voltage
Min input Voltage
7805
+5V
+7.3V
7806
+6V
+8.3V
7808
+8V
+10.5V
7810
+10V
+12.5V
7812
+12V
14.6V
7815
+15V
+17.7V
7818
+18V
+21V
7824
+24V
+27.1V
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


Example:
Given the IC regulator circuit shown, 7805 requires a minimum input voltage of
7.3V. (a) find the maximum load current IL that can be used. (b) if a maximum load
current IL = 500mA is required, what is the size of the filter capacitor? Take ac
supply frequency 50Hz.
Voltage regulator IC
n:1+1
Idc +V =15Vmax
i
Vmax
Vac=220V
f=50Hz
Vmax
1
C1
C1 = 250F
2
7805
Vm
15V
Vdc
7.3V




 V  15 V  7 . 3V  7 . 7 V  Vr ( rms ) 
 I dc  2 . 22  4 fC
IL = ?
3
Unregulated power supply
( a ) 2 . 22 V  Ripple
Vo=+5V
voltage
Vr ( rms ) 
I dc
4 fC
2 3

7 .7
2 3
 2 . 22 V
( b ) 2 . 22 V  Ripple
3
3  2 . 22  4  50  100  
V
3  0 . 077 A  77 mA
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C 
I dc
2 . 22  4 f 3
voltage Vr ( rms ) 

I dc
4 fC
0 .5 A
2 . 22  4  50 
3
3
 650  F
Fixed Negative Voltage Regulator IC
n:1+1
Vac=220V
f=50Hz
Idc
Vmax
C1
Vmax
-Vi
Voltage regulator IC
1
7912
C2 is a high frequency
filter (C2 < 0.1F)


-Vm

Regulated power supply -12V
C2
RL
3
Unregulated power supply
C1 is a ripple filter
capacitor (C1 > 100F)
2
Vo=-12V


-Vdc



-Vdc
IC Part Number
Output Voltage
Min input Voltage
7905
-5V
-7.3V
7906
-6V
-8.3V
7908
-8V
-10.5V
7910
-10V
-12.5V
7912
-12V
-14.6V
7915
-15V
-17.7V
7918
-18V
-21V
7924
-24V
-27.1V
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Electronic Circuit Analysis
Adjustable Voltage Regulator IC
The IC regulator LM317 can be used to produce any regulated output voltage
between 1.2V to 37V. Typical IC values are: Vref = 1.25V and Iadj = 100A
Adjustable Voltage regulator IC
n:1+1
Vac=220V
f=50Hz
Vmax
-Vi
Vmax
C1
Idc
VIN
1.2V < Vo< 37V
LM317
VOUT
R1
ADJ
Iadj = 100A
Vref =
1.25V

R 
Vo  1 . 25 V  1  2   100  A  R 2

R 1 

R2
 Vref

Vo VR 1  VR 2  Vref  I R 1  I adj R 2  Vref  
  R 2  Vref
 R

 1



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Electronic Circuit Analysis

R 
 1  2   I adj R 2

R 1 

Analysis of the LM317 IC Regulator circuit
1. Unregulated power supply enters LM317 with a dc voltage of VIN and a ripple
peak-to-peak voltage of V=Vmax-Vmin depending upon the value of C1 and IL used.
n:1+1
Vac=220V
f=50Hz
Vmax
IL
1.25V
Vmax
C1
470
F
IL
VIN
2. Note that LM317 data are Vref = 1.25V and
Iadj = 100A and will produce a regulated dc
voltage VOUT determined by R1 and R2
LM317
VOUT
R1
ADJ
100A
C2
R2
C3 RL
3. Unwanted voltage spikes are suppressed by the two diodes connected from
VOUT to ADJ and VIN terminals of the IC.
4. C2 is a ripple filter across R2 .
5. C3 is unwanted high-frequency low capacitance bypass capacitor which
is always necessary at the output of all regulator circuits.
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Electronic Circuit Analysis
Example:
Given the LM317 IC regulator circuit shown, (a) find the maximum load current IL
that can be used, if a ripple of peak-to-peak voltage of 2V is present at the input
of the regulator. (b) what is the output voltage of the variable IC regulator if R 1 =
0.1k and R2= 1k ? Take ac supply frequency 50Hz.
n:1+1
Vac=220V
f=50Hz
Vmax
VIN
IL
C1
470
F
LM317
VOUT
R1
ADJ
100A
In case if  V  Vmax  Vmin  2V  Vr ( rms ) 
( a ) 0 . 577 V  Ripple voltage
 I dc  0 . 577  4 fC
IL
1.25V
Vmax
Vr ( rms ) 
V
2 3

2
2 3
C2
R2
C3 RL
 0 . 577 V
I dc
4 fC
3
3  0 . 577  4  50  470  
3  93 . 942 mA

R 
1k 

( b ) Vo  1 . 25 V  1  2   100  A  R 2  1 . 25 V  1 
  100  A  1k  13 . 75  0 . 1  13 . 85 V


R
100


1 

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Electronic Circuit Analysis
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Electronic Circuit Analysis