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.
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