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DC TO DC
CONVERTER
Submitted to :
Er. Shimi S.L
(Assistant Professor)
Department of Electrical
Engineering , NITTTR Chandigarh
Presentation by:
Chandresh kumar
(141503)
ME-MOD-IC-2014
Department of Electrical engineering
NITTTR Chandigarh
chandresh kumar1/2/2016 1
Introduction
• Chopper is a static device.
• A variable dc voltage is obtained from a constant
dc voltage source.
• Also known as dc-to-dc converter.
• Widely used for motor control.
• Also used in regenerative braking.
• Thyristor (as a switch) converter offers greater
efficiency, faster response, lower maintenance,
smaller size and smooth control.
chandresh kumar1/2/2016 2
Types of Choppers
 Step-down choppers.
 Step-up choppers.
 In step down chopper output voltage is less than
input voltage.
 In step up chopper output voltage is more than
input voltage.
chandresh kumar1/2/2016 3
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Principle Of Step-down Chopper
V
i0
V0
Chopper
R
+

chandresh kumar1/2/2016 17
• A step-down chopper with resistive load.
• The thyristor in the circuit acts as a switch.
• When thyristor is ON, supply voltage appears
across the load
• When thyristor is OFF, the voltage across the
load will be zero.
chandresh kumar1/2/2016 18
Vdc
v0
V
V/R
i0
Idc
t
t
tON
T
tOFF
verage value of output or load voltage.
verage value of output or load current.
Time interval for which SCR conducts.
Time interval for which SCR is OFF.
Period of switching
dc
dc
ON
OFF
ON OFF
V A
I A
t
t
T t t




   or chopping period.
1
Freq. of chopper switching or chopping freq.f
T
 
chandresh kumar1/2/2016 19
Average Output Voltage
.
duty cycle
ON
dc
ON OFF
ON
dc
ON
t
V V
t t
t
V V V d
T
t
but d
t
 
  
 
 
  
 
 
  
 
chandresh kumar1/2/2016 20
2
0
Average Output Current
RMS value of output voltage
1 ON
dc
dc
ON
dc
t
O o
V
I
R
tV V
I d
R T R
V v dt
T

 
  
 
 
chandresh kumar1/2/2016 21
2
0
2
But during ,
Therefore RMS output voltage
1
.
.
ON
ON o
t
O
ON
O ON
O
t v V
V V dt
T
tV
V t V
T T
V d V


 


chandresh kumar1/2/2016 22
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2
2
Output power
But
Output power
O O O
O
O
O
O
O
P V I
V
I
R
V
P
R
dV
P
R





1/2/2016 chandresh kumar 24
Effective input resistance of chopper
The output voltage can be varied by
varying the duty cycle.
i
dc
i
V
R
I
R
R
d


Principle Of Step-up
Chopper
+

VOV
Chopper
C
L
O
A
D
DLI
+ 
chandresh kumar1/2/2016 25
• The values of L and C are chosen depending
upon the requirement of output voltage and
current.
• The inductor current ‘I’ rises and the inductor
stores energy during the ON time of the
chopper, tON.
• Step-up chopper is used to obtain a load
voltage higher than the input voltage V.
• When the chopper is ON, the inductor L is
connected across the supply.
chandresh kumar1/2/2016 26
• The current tends to decrease resulting in
reversing the polarity of induced EMF in L.
• Therefore voltage across load is given by:-
• When the chopper is off, the inductor current I
is forced to flow through the diode D and load
for a period, tOFF.
chandresh kumar1/2/2016 27
. .,O O
dI
V V L i e V V
dt
  
• A large capacitor ‘C’ connected across the
load, will provide a continuous output voltage
• Diode D prevents any current flow from
capacitor to the source.
• Step up choppers are used for regenerative
braking of dc motors
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Expression For Output Voltage
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Assume the average inductor current to be
during ON and OFF time of Chopper.
Voltage across inductor
Therefore energy stored in inductor
= . .
Where
When Chopper
period of chopper.
is ON
ON
ON
I
L V
V I t
t ON


1/2/2016 chandresh kumar 30
 
(energy is supplied by inductor to load)
Voltage across
Energy supplied by inductor
where period of Chopper.
Neg
When Chopper
lecting losses, energy stored in inductor
is OFF
O
O OFF
OFF
L V V
L V V It
t OFF
L
 
 

= energy supplied by inductor L
1/2/2016 chandresh kumar 31
 
 
Where
T = Chopping period or period
of switching.
ON O OFF
ON OFF
O
OFF
O
ON
VIt V V It
V t t
V
t
T
V V
T t
  


 
  
 
1/2/2016 chandresh kumar 32
1
1
1
1
Where duty cyle
ON OFF
O
ON
O
ON
T t t
V V
t
T
V V
d
t
d
T
 
 
 
  
 
 
 
   
 
 
For variation of duty cycle ' ' in the
range of 0 1 the output voltage
will vary in the range
O
O
d
d V
V V
 
  
Control Strategies
• The output dc voltage can be varied by the
following methods.
1. Pulse width modulation control or constant
frequency operation.
2. Variable frequency control
chandresh kumar1/2/2016 33
Pulse Width Modulation
• tON is varied keeping chopping frequency ‘f’ &
chopping period ‘T’ constant.
• Output voltage is varied by varying the ON
time tON
chandresh kumar1/2/2016 34
Pulse Width Modulation
V0
V
V
V0
t
t
tON
tON tOFF
tOFF
T
chandresh kumar1/2/2016 35
Variable Frequency Control
• Chopping frequency ‘f’ is varied keeping either
tON or tOFF constant.
• To obtain full output voltage range, frequency has
to be varied over a wide range.
• This method produces harmonics in the output
and for large tOFF load current may become
discontinuous
chandresh kumar1/2/2016 36
Variable Frequency Control
v0
V
V
v0
t
t
tON
tON
T
T
tOFF
tOFF
chandresh kumar1/2/2016 37
Performance Parameters
• The thyristor requires a certain minimum time
to turn ON and turn OFF.
• Duty cycle d can be varied only between a
min. & max. value, limiting the min. and max.
value of the output voltage.
• Ripple in the load current depends inversely on
the chopping frequency, f.
• To reduce the load ripple current, frequency
should be as high as possible.
chandresh kumar1/2/2016 38
Classification Of Choppers
• Choppers are classified as
– Class A Chopper
– Class B Chopper
– Class C Chopper
– Class D Chopper
– Class E Chopper
chandresh kumar1/2/2016 39
Class A Chopper
V
Chopper
FWD
+

v0
v0
i0
i0
L
O
A
D
V
chandresh kumar1/2/2016 40
• When chopper is ON, supply voltage V is connected
across the load.
• When chopper is OFF, vO = 0 and the load current
continues to flow in the same direction through the
FWD.
• The average values of output voltage and current are
always positive.
• Class A Chopper is a first quadrant chopper
chandresh kumar1/2/2016 41
• Class A Chopper is a step-down chopper in which
power always flows form source to load.
• It is used to control the speed of dc motor.
• The output current equations obtained in step
down chopper with R-L load can be used to study
the performance of Class A Chopper.
chandresh kumar1/2/2016 42
chandresh kumar1/2/2016 43
Output current
Thyristor
gate pulse
Output voltage
ig
i0
v0
t
t
t
tON
T
CH ON
FWD Conducts
Class B Chopper
V
Chopper
+

v0
v0
i0
i0
L
E
R
D
chandresh kumar1/2/2016 44
• When chopper is ON, E drives a current through
L and R in a direction opposite to that shown in
figure.
• During the ON period of the chopper, the
inductance L stores energy.
• When Chopper is OFF, diode D conducts, and
part of the energy stored in inductor L is returned
to the supply.
chandresh kumar1/2/2016 45
• Average output voltage is positive.
• Average output current is negative.
• Therefore Class B Chopper operates in second
quadrant.
• In this chopper, power flows from load to source.
• Class B Chopper is used for regenerative braking of dc
motor.
• Class B Chopper is a step-up chopper.
chandresh kumar1/2/2016 46
Output current
D
conducts Chopper
conducts
Thyristor
gate pulse
Output voltage
ig
i0
v0
t
t
t
Imin
Imax
T
tONtOFF
chandresh kumar1/2/2016 47
Expression for Output Current
  min
For the initial condition i.e.,
During the interval diode 'D' conduc
at 0
The solution of the ab
ts
voltage equation
ove equation is obtained
along similar lines as in s
is given by
O
O
O
Ldi
V Ri E
dt
i t I t
  
 
tep-down chopper
with R-L load
chandresh kumar1/2/2016 48
 
   
min
max
max min
During the interval chopper is ON voltage
equation is g
1 0
At
1
0
iven by
OFF OFF
R R
t t
L L
O OFF
OFF O
R R
t t
L L
O
O
V E
i t e I e t t
R
t t i t I
V E
I e I e
R
Ldi
Ri E
dt
 
 
 
      
 
 
 
   
 
  
chandresh kumar1/2/2016 49
 
 
 
max
max
min
min max
Redefining the time origin, at 0
The solution for the stated initial condition is
1 0
At
1
ON ON
O
R R
t t
L L
O ON
ON O
R R
t t
L L
t i t I
E
i t I e e t t
R
t t i t I
E
I I e e
R
 
 
 
 
     
 
 
 
    
 
chandresh kumar1/2/2016 50
Class C Chopper
V
Chopper
+

v0
D1
D2
CH2
CH1
v0
i0
i0
L
E
R
chandresh kumar1/2/2016 51
• Class C Chopper is a combination of Class A
and Class B Choppers.
• For first quadrant operation, CH1 is ON or D2
conducts.
• For second quadrant operation, CH2 is ON or
D1 conducts.
• When CH1 is ON, the load current is positive.
• The output voltage is equal to ‘V’ & the load
receives power from the source.
• When CH1 is turned OFF, energy stored in
inductance L forces current to flow through the
diode D2 and the output voltage is zero.
chandresh kumar1/2/2016 52
• continues to flow in positive direction.
• When CH2 is triggered, the voltage E forces
current t to flow in opposite direction through
L and CH2 .
• The output voltage is zero.
• On turning OFF CH2 , the energy stored in the
inductance drives current through diode D1 and
the supply
• Output voltage is V, the input current becomes
negative and power flows from load to source
chandresh kumar1/2/2016 53
• Average output voltage is positive
• Average output current can take both positive
and negative values.
• Choppers CH1 & CH2 should not be turned
ON simultaneously as it would result in short
circuiting the supply.
• Class C Chopper can be used both for dc
motor control and regenerative braking of dc
motor.
• Class C Chopper can be used as a step-up or
step-down chopper.
chandresh kumar1/2/2016 54
Gate pulse
of CH2
Gate pulse
of CH1
Output current
Output voltage
ig1
ig2
i0
V0
t
t
t
t
D1 D1D2 D2CH1 CH2 CH1 CH2
ON ON ON ON
chandresh kumar1/2/2016 55
Class D Chopper
V
+ v0
D2
D1 CH2
CH1
v0
i0
L ER i0
chandresh kumar1/2/2016 56
• Class D is a two quadrant chopper.
• When both CH1 and CH2 are triggered simultaneously,
the output voltage vO = V and output current flows
through the load.
• When CH1 and CH2 are turned OFF, the load current
continues to flow in the same direction through load, D1
and D2 , due to the energy stored in the inductor L.
• Output voltage vO = - V.
chandresh kumar1/2/2016 57
• Average load voltage is positive if chopper
ON time is more than the OFF time
• Average output voltage becomes negative if
tON < tOFF .
• Hence the direction of load current is always
positive but load voltage can be positive or
negative.
chandresh kumar1/2/2016 58
Gate pulse
of CH2
Gate pulse
of CH1
Output current
Output voltage
Average v0
ig1
ig2
i0
v0
V
t
t
t
t
CH ,CH
ON
1 2 D1,D2 Conducting
chandresh kumar1/2/2016 59
Gate pulse
of CH2
Gate pulse
of CH1
Output current
Output voltage
Average v0
ig1
ig2
i0
v0
V
t
t
t
t
CH
CH
1
2
D , D1 2
chandresh kumar1/2/2016 60
Class E Chopper
V
v0
i0
L ER
CH2 CH4D2 D4
D1 D3
CH1 CH3
+ 
chandresh kumar1/2/2016 61
Four Quadrant Operation
v0
i0
CH - CH ON
CH - D Conducts
1 4
4 2
D D2 3- Conducts
CH - D Conducts4 2
CH - CH ON
CH - D Conducts
3 2
2 4
CH - D Conducts
D - D Conducts
2 4
1 4
chandresh kumar1/2/2016 62
• Class E is a four quadrant chopper
• When CH1 and CH4 are triggered, output
current iO flows in positive direction through
CH1 and CH4, and with output voltage vO = V.
• This gives the first quadrant operation.
• When both CH1 and CH4 are OFF, the energy
stored in the inductor L drives iO through D2
and D3 in the same direction, but output
voltage vO = -V.
chandresh kumar1/2/2016 63
• Therefore the chopper operates in the fourth
quadrant.
• When CH2 and CH3 are triggered, the load
current iO flows in opposite direction & output
voltage vO = -V.
• Since both iO and vO are negative, the chopper
operates in third quadrant
chandresh kumar1/2/2016 64
• When both CH2 and CH3 are OFF, the load
current iO continues to flow in the same
direction D1 and D4 and the output voltage
vO = V.
• Therefore the chopper operates in second
quadrant as vO is positive but iO is negative.
chandresh kumar1/2/2016 65
धन्यवाद !
chandresh kumar1/2/2016 66

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Chandresh chopper

  • 1. DC TO DC CONVERTER Submitted to : Er. Shimi S.L (Assistant Professor) Department of Electrical Engineering , NITTTR Chandigarh Presentation by: Chandresh kumar (141503) ME-MOD-IC-2014 Department of Electrical engineering NITTTR Chandigarh chandresh kumar1/2/2016 1
  • 2. Introduction • Chopper is a static device. • A variable dc voltage is obtained from a constant dc voltage source. • Also known as dc-to-dc converter. • Widely used for motor control. • Also used in regenerative braking. • Thyristor (as a switch) converter offers greater efficiency, faster response, lower maintenance, smaller size and smooth control. chandresh kumar1/2/2016 2
  • 3. Types of Choppers  Step-down choppers.  Step-up choppers.  In step down chopper output voltage is less than input voltage.  In step up chopper output voltage is more than input voltage. chandresh kumar1/2/2016 3
  • 17. Principle Of Step-down Chopper V i0 V0 Chopper R +  chandresh kumar1/2/2016 17
  • 18. • A step-down chopper with resistive load. • The thyristor in the circuit acts as a switch. • When thyristor is ON, supply voltage appears across the load • When thyristor is OFF, the voltage across the load will be zero. chandresh kumar1/2/2016 18
  • 19. Vdc v0 V V/R i0 Idc t t tON T tOFF verage value of output or load voltage. verage value of output or load current. Time interval for which SCR conducts. Time interval for which SCR is OFF. Period of switching dc dc ON OFF ON OFF V A I A t t T t t        or chopping period. 1 Freq. of chopper switching or chopping freq.f T   chandresh kumar1/2/2016 19
  • 20. Average Output Voltage . duty cycle ON dc ON OFF ON dc ON t V V t t t V V V d T t but d t                      chandresh kumar1/2/2016 20
  • 21. 2 0 Average Output Current RMS value of output voltage 1 ON dc dc ON dc t O o V I R tV V I d R T R V v dt T           chandresh kumar1/2/2016 21
  • 22. 2 0 2 But during , Therefore RMS output voltage 1 . . ON ON o t O ON O ON O t v V V V dt T tV V t V T T V d V       chandresh kumar1/2/2016 22
  • 23. 1/2/2016 chandresh kumar 23 2 2 Output power But Output power O O O O O O O O P V I V I R V P R dV P R     
  • 24. 1/2/2016 chandresh kumar 24 Effective input resistance of chopper The output voltage can be varied by varying the duty cycle. i dc i V R I R R d  
  • 26. • The values of L and C are chosen depending upon the requirement of output voltage and current. • The inductor current ‘I’ rises and the inductor stores energy during the ON time of the chopper, tON. • Step-up chopper is used to obtain a load voltage higher than the input voltage V. • When the chopper is ON, the inductor L is connected across the supply. chandresh kumar1/2/2016 26
  • 27. • The current tends to decrease resulting in reversing the polarity of induced EMF in L. • Therefore voltage across load is given by:- • When the chopper is off, the inductor current I is forced to flow through the diode D and load for a period, tOFF. chandresh kumar1/2/2016 27 . .,O O dI V V L i e V V dt   
  • 28. • A large capacitor ‘C’ connected across the load, will provide a continuous output voltage • Diode D prevents any current flow from capacitor to the source. • Step up choppers are used for regenerative braking of dc motors 1/2/2016 chandresh kumar 28
  • 29. Expression For Output Voltage 1/2/2016 chandresh kumar 29 Assume the average inductor current to be during ON and OFF time of Chopper. Voltage across inductor Therefore energy stored in inductor = . . Where When Chopper period of chopper. is ON ON ON I L V V I t t ON  
  • 30. 1/2/2016 chandresh kumar 30   (energy is supplied by inductor to load) Voltage across Energy supplied by inductor where period of Chopper. Neg When Chopper lecting losses, energy stored in inductor is OFF O O OFF OFF L V V L V V It t OFF L      = energy supplied by inductor L
  • 31. 1/2/2016 chandresh kumar 31     Where T = Chopping period or period of switching. ON O OFF ON OFF O OFF O ON VIt V V It V t t V t T V V T t            
  • 32. 1/2/2016 chandresh kumar 32 1 1 1 1 Where duty cyle ON OFF O ON O ON T t t V V t T V V d t d T                        For variation of duty cycle ' ' in the range of 0 1 the output voltage will vary in the range O O d d V V V     
  • 33. Control Strategies • The output dc voltage can be varied by the following methods. 1. Pulse width modulation control or constant frequency operation. 2. Variable frequency control chandresh kumar1/2/2016 33
  • 34. Pulse Width Modulation • tON is varied keeping chopping frequency ‘f’ & chopping period ‘T’ constant. • Output voltage is varied by varying the ON time tON chandresh kumar1/2/2016 34
  • 35. Pulse Width Modulation V0 V V V0 t t tON tON tOFF tOFF T chandresh kumar1/2/2016 35
  • 36. Variable Frequency Control • Chopping frequency ‘f’ is varied keeping either tON or tOFF constant. • To obtain full output voltage range, frequency has to be varied over a wide range. • This method produces harmonics in the output and for large tOFF load current may become discontinuous chandresh kumar1/2/2016 36
  • 38. Performance Parameters • The thyristor requires a certain minimum time to turn ON and turn OFF. • Duty cycle d can be varied only between a min. & max. value, limiting the min. and max. value of the output voltage. • Ripple in the load current depends inversely on the chopping frequency, f. • To reduce the load ripple current, frequency should be as high as possible. chandresh kumar1/2/2016 38
  • 39. Classification Of Choppers • Choppers are classified as – Class A Chopper – Class B Chopper – Class C Chopper – Class D Chopper – Class E Chopper chandresh kumar1/2/2016 39
  • 41. • When chopper is ON, supply voltage V is connected across the load. • When chopper is OFF, vO = 0 and the load current continues to flow in the same direction through the FWD. • The average values of output voltage and current are always positive. • Class A Chopper is a first quadrant chopper chandresh kumar1/2/2016 41
  • 42. • Class A Chopper is a step-down chopper in which power always flows form source to load. • It is used to control the speed of dc motor. • The output current equations obtained in step down chopper with R-L load can be used to study the performance of Class A Chopper. chandresh kumar1/2/2016 42
  • 43. chandresh kumar1/2/2016 43 Output current Thyristor gate pulse Output voltage ig i0 v0 t t t tON T CH ON FWD Conducts
  • 45. • When chopper is ON, E drives a current through L and R in a direction opposite to that shown in figure. • During the ON period of the chopper, the inductance L stores energy. • When Chopper is OFF, diode D conducts, and part of the energy stored in inductor L is returned to the supply. chandresh kumar1/2/2016 45
  • 46. • Average output voltage is positive. • Average output current is negative. • Therefore Class B Chopper operates in second quadrant. • In this chopper, power flows from load to source. • Class B Chopper is used for regenerative braking of dc motor. • Class B Chopper is a step-up chopper. chandresh kumar1/2/2016 46
  • 47. Output current D conducts Chopper conducts Thyristor gate pulse Output voltage ig i0 v0 t t t Imin Imax T tONtOFF chandresh kumar1/2/2016 47
  • 48. Expression for Output Current   min For the initial condition i.e., During the interval diode 'D' conduc at 0 The solution of the ab ts voltage equation ove equation is obtained along similar lines as in s is given by O O O Ldi V Ri E dt i t I t      tep-down chopper with R-L load chandresh kumar1/2/2016 48
  • 49.       min max max min During the interval chopper is ON voltage equation is g 1 0 At 1 0 iven by OFF OFF R R t t L L O OFF OFF O R R t t L L O O V E i t e I e t t R t t i t I V E I e I e R Ldi Ri E dt                             chandresh kumar1/2/2016 49
  • 50.       max max min min max Redefining the time origin, at 0 The solution for the stated initial condition is 1 0 At 1 ON ON O R R t t L L O ON ON O R R t t L L t i t I E i t I e e t t R t t i t I E I I e e R                            chandresh kumar1/2/2016 50
  • 52. • Class C Chopper is a combination of Class A and Class B Choppers. • For first quadrant operation, CH1 is ON or D2 conducts. • For second quadrant operation, CH2 is ON or D1 conducts. • When CH1 is ON, the load current is positive. • The output voltage is equal to ‘V’ & the load receives power from the source. • When CH1 is turned OFF, energy stored in inductance L forces current to flow through the diode D2 and the output voltage is zero. chandresh kumar1/2/2016 52
  • 53. • continues to flow in positive direction. • When CH2 is triggered, the voltage E forces current t to flow in opposite direction through L and CH2 . • The output voltage is zero. • On turning OFF CH2 , the energy stored in the inductance drives current through diode D1 and the supply • Output voltage is V, the input current becomes negative and power flows from load to source chandresh kumar1/2/2016 53
  • 54. • Average output voltage is positive • Average output current can take both positive and negative values. • Choppers CH1 & CH2 should not be turned ON simultaneously as it would result in short circuiting the supply. • Class C Chopper can be used both for dc motor control and regenerative braking of dc motor. • Class C Chopper can be used as a step-up or step-down chopper. chandresh kumar1/2/2016 54
  • 55. Gate pulse of CH2 Gate pulse of CH1 Output current Output voltage ig1 ig2 i0 V0 t t t t D1 D1D2 D2CH1 CH2 CH1 CH2 ON ON ON ON chandresh kumar1/2/2016 55
  • 56. Class D Chopper V + v0 D2 D1 CH2 CH1 v0 i0 L ER i0 chandresh kumar1/2/2016 56
  • 57. • Class D is a two quadrant chopper. • When both CH1 and CH2 are triggered simultaneously, the output voltage vO = V and output current flows through the load. • When CH1 and CH2 are turned OFF, the load current continues to flow in the same direction through load, D1 and D2 , due to the energy stored in the inductor L. • Output voltage vO = - V. chandresh kumar1/2/2016 57
  • 58. • Average load voltage is positive if chopper ON time is more than the OFF time • Average output voltage becomes negative if tON < tOFF . • Hence the direction of load current is always positive but load voltage can be positive or negative. chandresh kumar1/2/2016 58
  • 59. Gate pulse of CH2 Gate pulse of CH1 Output current Output voltage Average v0 ig1 ig2 i0 v0 V t t t t CH ,CH ON 1 2 D1,D2 Conducting chandresh kumar1/2/2016 59
  • 60. Gate pulse of CH2 Gate pulse of CH1 Output current Output voltage Average v0 ig1 ig2 i0 v0 V t t t t CH CH 1 2 D , D1 2 chandresh kumar1/2/2016 60
  • 61. Class E Chopper V v0 i0 L ER CH2 CH4D2 D4 D1 D3 CH1 CH3 +  chandresh kumar1/2/2016 61
  • 62. Four Quadrant Operation v0 i0 CH - CH ON CH - D Conducts 1 4 4 2 D D2 3- Conducts CH - D Conducts4 2 CH - CH ON CH - D Conducts 3 2 2 4 CH - D Conducts D - D Conducts 2 4 1 4 chandresh kumar1/2/2016 62
  • 63. • Class E is a four quadrant chopper • When CH1 and CH4 are triggered, output current iO flows in positive direction through CH1 and CH4, and with output voltage vO = V. • This gives the first quadrant operation. • When both CH1 and CH4 are OFF, the energy stored in the inductor L drives iO through D2 and D3 in the same direction, but output voltage vO = -V. chandresh kumar1/2/2016 63
  • 64. • Therefore the chopper operates in the fourth quadrant. • When CH2 and CH3 are triggered, the load current iO flows in opposite direction & output voltage vO = -V. • Since both iO and vO are negative, the chopper operates in third quadrant chandresh kumar1/2/2016 64
  • 65. • When both CH2 and CH3 are OFF, the load current iO continues to flow in the same direction D1 and D4 and the output voltage vO = V. • Therefore the chopper operates in second quadrant as vO is positive but iO is negative. chandresh kumar1/2/2016 65