Power electronics digital notes b. Tech III year


Operation of three phase half wave rectifier with R and RL loads



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power electronics digital notes

Operation of three phase half wave rectifier with R and RL loads 
 
Figure: 2.16 circuit diagram three phase half wave rectifier
 
 
Figure: 2.17 input and output waveforms of three phase half wave rectifier
 
Three phase supply voltage equations 


75 | 
P a g e
We define three line neutral voltages (3 phase voltages) as follows
V
RN
= V
an
= V
m
sinwt where V
m
is the maximum voltage 
V
YN
= V
bn
= V
m
sin (wt-
V
BN
= V
cn
= V
m
sin (wt-
The 
3-phase half wave converter 
combines three
 single phase half wave controlled 
rectifiers in one
single circuit feeding a common load. The thyristor T
1
in series with one of the 
supply phase windings 
'a-n'
acts as one half wave controlled rectifier The second thyristor T
2
in 
series with the supply phase winding 
'b-n'
acts as the second half wave controlled rectifier. The 
third thyristor T
3
in series with the supply phase winding acts as the third half wave controlled 
rectifier. 
The 3-phase input supply is applied through the star connected supply transformer as shown in 
the figure. The common neutral point of the supply is connected to one end of the load while the 
other end of the load connected to the common cathode point.
When the thyristor T
1
is triggered at ω
t
=(∏/6 + α)=(30° + α) 
, the phase voltage V
an
appears 
across the load when T
1
conducts. The load current flows through the supply phase winding 
'a-
n'
and through thyristor T
1
as long as T
1
conducts. 
When thyristor T
2
is triggered at ω
t
=(5∏/6α), T
1
becomes reverse biased and turns-off. The load 
current flows through the thyristor and through the supply phase winding
'b-n'
. When 
T
2
conducts the phase voltage 
v
bn
appears across the load until the thyristor T
3
is triggered . 
When the thyristor T
3
is triggered at ω
t
=(3∏/2 + α)=(270°+α) , T
2
is reversed biased and hence 
T
2
turns-off. The phase voltage V
an
appears across the load when T
3
conducts. 
When T
1
is triggered again at the beginning of the next input cycle the thyristor T
3
turns off as it 
is reverse biased naturally as soon as T
1
is triggered. The figure shows the 3-phase input supply 
voltages, the output voltage which appears across the load, and the load current assuming a 
constant and ripple free load current for a highly inductive load and the current through the 
thyristor 
T
1

For a purely resistive load where the load inductance ‘L = 0’ and the trigger angle α >(∏/6) , the 
load current appears as discontinuous load current and each thyristor is naturally commutated 
when the polarity of the corresponding phase supply voltage reverses. The frequency of output 


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ripple frequency for a 

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