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1
2
 Operate from 3 phase ac supply voltage.
 They provide higher dc output voltage.
 Higher dc output power.
 Higher output voltage ripple frequency.
 Filtering requirements are simplified for smoothing
out load voltage and load current.
3 Phase Controlled
Rectifiers
3
 Extensively used in high power variable speed
industrial dc drives.
 Three single phase half-wave converters can be
connected together to form a three phase half-wave
converter.
4
Converter
(3-Pulse Converter)
with RL Load
Continuous & Constant
Load Current Operation
5
6
RN AN
YN BN
BN CN
v v
v v
v v



Vector Diagram of
3 Phase Supply Voltages
VAN
VCN
VBN
120
0
120
0
120
0
7
We deifine three line to neutral voltages
(3 phase voltages) as follows
3 Phase Supply Voltage
Equations
8
 
 
 
0
0
0
sin ;
Max. Phase Voltage
2
sin
3
sin 120
2
sin
3
sin 120
sin 240
RN an m
m
YN bn m
m
BN cn m
m
m
v v V t
V
v v V t
V t
v v V t
V t
V t








 

 
  
 
 
 
 
  
 
 
 
 
9
van vbn vcn van
10
io=Ia
Constant Load
Current
Ia
Ia
Each thyristor conducts for 2/3 (1200)
11
To Derive an Expression
for the Average Output
Voltage of a 3-Phase
Half Wave Converter
with RL Load for
Continuous Load
Current
12
 
 
 
0
1
0
2
0
3
0
30
6
5
150
6
7
270
6
2
Each thytistor conducts for 120 or radians
3
T is triggered at t
T is triggered at t
T is triggered at t

  

  

  

 
   
 
 
 
   
 
 
 
   
 
 
13
 
5
6
6
If the reference phase voltage is
sin , the average or dc output
voltage for continuous load current is calculated
using the equation
3
sin .
2
RN an m
dc m
v v V t
V V t d t





 



 
 
 
  
 
 

14
 
 
5
6
6
5
6
6
3
sin .
2
3
cos
2
3 5
cos cos
2 6 6
m
dc
m
dc
m
dc
V
V t d t
V
V t
V
V








 



 
 





 
 
  
 
 
 
 
 
 
 
 
 
   
    
   
 
   
 

15
   
   
   
       
   
0 0
0
Note from the trigonometric relationship
cos cos .cos sin .sin
5 5
cos cos sin sin
6 6
3
2
co
cos 150 cos sin 150 sin
3
2 cos 30
s .cos sin sin
6 6
.cos
m
dc
m
dc
A
V
V
B A B A B
V
V
 
 
  




 
  
 
   
 
   
 
   
 

 
   
 
 
   
   






    
0
sin 30 sin 
 
 
 
 
16
       
       
   
   
       
       
0 0
0 0 0 0
0 0
0 0
0
0
0
0
0 0
Note: cos 1
cos 180 30 cos sin 180 30 sin
3
2 cos 30 .cos sin 30 sin
cos 30 cos sin 30 sin
3
2 cos 30 .cos sin 30 s
80 30 cos 30
sin 180 30 sin 30
in
m
dc
m
dc
V
V
V
V
 
  
 
  
 
 
   
 

 
 
 
 
 
 
 
 
 





17
   
 
   
 
0
3
2cos 30 cos
2
3 3
2 cos
2 2
3 3 3
3 cos cos
2 2
3
cos
2
Where 3 Max. line to line supply voltage
m
dc
m
dc
m m
dc
Lm
dc
Lm m
V
V
V
V
V V
V
V
V
V V




 
 


 
  
 
 
 
 
 
 
 

 
18
 
max
The maximum average or dc output voltage is
obtained at a delay angle 0 and is given by
3 3
2
Where is the peak phase voltage.
And the normalized average output voltage is
m
dm
dc
m
d
dcn n
V
V V
V
V
V V



 
  cos
c
dm
V


19
   
 
1
5 2
6
2 2
6
1
2
The rms value of output voltage is found by
using the equation
3
sin .
2
and we obtain
1 3
3 cos2
6 8
m
O RMS
m
O RMS
V V t d t
V V




 





 
 
  
 
 
 
 
 
 

20
3 Phase Half Wave
Controlled Rectifier Output
Voltage Waveforms For RL
Load
at Different Trigger Angles
21
0
0
30
0
30
0
60
0
60
0
90
0
90
0
120
0
120
0
150
0
150
0
180
0
180
0
210
0
210
0
240
0
240
0
270
0
270
0
300
0
300
0
330
0
330
0
360
0
360
0
390
0
390
0
420
0
420
0
Van

V0

V0
Van


=30
0
=60
0
Vbn
Vbn
Vcn
Vcn
t
t
=300
=600
22
=900

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U_1.ppt

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  • 2. 2  Operate from 3 phase ac supply voltage.  They provide higher dc output voltage.  Higher dc output power.  Higher output voltage ripple frequency.  Filtering requirements are simplified for smoothing out load voltage and load current. 3 Phase Controlled Rectifiers
  • 3. 3  Extensively used in high power variable speed industrial dc drives.  Three single phase half-wave converters can be connected together to form a three phase half-wave converter.
  • 4. 4 Converter (3-Pulse Converter) with RL Load Continuous & Constant Load Current Operation
  • 5. 5
  • 6. 6 RN AN YN BN BN CN v v v v v v    Vector Diagram of 3 Phase Supply Voltages VAN VCN VBN 120 0 120 0 120 0
  • 7. 7 We deifine three line to neutral voltages (3 phase voltages) as follows 3 Phase Supply Voltage Equations
  • 8. 8       0 0 0 sin ; Max. Phase Voltage 2 sin 3 sin 120 2 sin 3 sin 120 sin 240 RN an m m YN bn m m BN cn m m m v v V t V v v V t V t v v V t V t V t                                   
  • 11. 11 To Derive an Expression for the Average Output Voltage of a 3-Phase Half Wave Converter with RL Load for Continuous Load Current
  • 12. 12       0 1 0 2 0 3 0 30 6 5 150 6 7 270 6 2 Each thytistor conducts for 120 or radians 3 T is triggered at t T is triggered at t T is triggered at t                                           
  • 13. 13   5 6 6 If the reference phase voltage is sin , the average or dc output voltage for continuous load current is calculated using the equation 3 sin . 2 RN an m dc m v v V t V V t d t                        
  • 14. 14     5 6 6 5 6 6 3 sin . 2 3 cos 2 3 5 cos cos 2 6 6 m dc m dc m dc V V t d t V V t V V                                                                     
  • 15. 15                         0 0 0 Note from the trigonometric relationship cos cos .cos sin .sin 5 5 cos cos sin sin 6 6 3 2 co cos 150 cos sin 150 sin 3 2 cos 30 s .cos sin sin 6 6 .cos m dc m dc A V V B A B A B V V                                                                   0 sin 30 sin         
  • 16. 16                                         0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Note: cos 1 cos 180 30 cos sin 180 30 sin 3 2 cos 30 .cos sin 30 sin cos 30 cos sin 30 sin 3 2 cos 30 .cos sin 30 s 80 30 cos 30 sin 180 30 sin 30 in m dc m dc V V V V                                            
  • 17. 17             0 3 2cos 30 cos 2 3 3 2 cos 2 2 3 3 3 3 cos cos 2 2 3 cos 2 Where 3 Max. line to line supply voltage m dc m dc m m dc Lm dc Lm m V V V V V V V V V V V                                
  • 18. 18   max The maximum average or dc output voltage is obtained at a delay angle 0 and is given by 3 3 2 Where is the peak phase voltage. And the normalized average output voltage is m dm dc m d dcn n V V V V V V V        cos c dm V  
  • 19. 19       1 5 2 6 2 2 6 1 2 The rms value of output voltage is found by using the equation 3 sin . 2 and we obtain 1 3 3 cos2 6 8 m O RMS m O RMS V V t d t V V                               
  • 20. 20 3 Phase Half Wave Controlled Rectifier Output Voltage Waveforms For RL Load at Different Trigger Angles

Editor's Notes

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