Electrical Engineering (EE) Exam > Electrical Engineering (EE) Notes > Short Notes for Electrical Engineering > Short Notes: Phase Controlled Converter
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Page 1
Form factor
?
or
o
V
FF
V
or
V : rms value of output voltage.
o
V : Average value of output voltage.
Ripple Factor
RF =
2
FF 1 ?
Distortion factor
?
01
or
V
DF
V
01
V : rms value of fundamental components of
o
V
or
V : rms value of output voltage.
Total harmonic Distortion
??
2
1
THD 1
DF
Single phase half wave uncontrolled rectifier
R – load RL – Load L – Load
O
V
m
V
?
? ?
m
V
1 cos
2
??
?
0
O
I
m
V
R ?
? ?
m
V
1 cos
2R
??
?
?
m
V
L
? ? ? ? ? ? ? 2 ?
? ?
O
I max
2
?
? ?
,
2
?
?
?
? = Extinction angle, Angle at which ? goes to zero.
? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output
voltage goes to zero after ? ? ? t when FD conducts.
Page 2
Form factor
?
or
o
V
FF
V
or
V : rms value of output voltage.
o
V : Average value of output voltage.
Ripple Factor
RF =
2
FF 1 ?
Distortion factor
?
01
or
V
DF
V
01
V : rms value of fundamental components of
o
V
or
V : rms value of output voltage.
Total harmonic Distortion
??
2
1
THD 1
DF
Single phase half wave uncontrolled rectifier
R – load RL – Load L – Load
O
V
m
V
?
? ?
m
V
1 cos
2
??
?
0
O
I
m
V
R ?
? ?
m
V
1 cos
2R
??
?
?
m
V
L
? ? ? ? ? ? ? 2 ?
? ?
O
I max
2
?
? ?
,
2
?
?
?
? = Extinction angle, Angle at which ? goes to zero.
? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output
voltage goes to zero after ? ? ? t when FD conducts.
Single phase half wave controlled rectifier
i) R – load
?
? ?
? ?
? ? ?
?
m
O avg
V
V 1 cos
2
?
? ?
? ?
? ? ?
?
m
O avg
V
I 1 cos
2R
?
? ?
?? ?
? ? ? ? ?
??
?
??
2
m
or
V sin2
V
42
? Input power factor = ?
2
or or
S S S
V R V
V I V
?
m
S
V
V
2
? a = firing angle
ii) R – L load
?
? ?
? ?
? ? ? ?
?
m
o avg
V
V cos cos
2
?
? ?
? ?
? ? ? ?
?
m
o avg
V
I cos cos
2R
?
? ? ? ?
? ? ? ? ? ? ? ?
?
m
or
V 1
V sin2 sin2
2
2
? Circuit turn off time,
? ?
? ? ?
?
?
c
2
t
Single phase full – wave rectifier
Page 3
Form factor
?
or
o
V
FF
V
or
V : rms value of output voltage.
o
V : Average value of output voltage.
Ripple Factor
RF =
2
FF 1 ?
Distortion factor
?
01
or
V
DF
V
01
V : rms value of fundamental components of
o
V
or
V : rms value of output voltage.
Total harmonic Distortion
??
2
1
THD 1
DF
Single phase half wave uncontrolled rectifier
R – load RL – Load L – Load
O
V
m
V
?
? ?
m
V
1 cos
2
??
?
0
O
I
m
V
R ?
? ?
m
V
1 cos
2R
??
?
?
m
V
L
? ? ? ? ? ? ? 2 ?
? ?
O
I max
2
?
? ?
,
2
?
?
?
? = Extinction angle, Angle at which ? goes to zero.
? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output
voltage goes to zero after ? ? ? t when FD conducts.
Single phase half wave controlled rectifier
i) R – load
?
? ?
? ?
? ? ?
?
m
O avg
V
V 1 cos
2
?
? ?
? ?
? ? ?
?
m
O avg
V
I 1 cos
2R
?
? ?
?? ?
? ? ? ? ?
??
?
??
2
m
or
V sin2
V
42
? Input power factor = ?
2
or or
S S S
V R V
V I V
?
m
S
V
V
2
? a = firing angle
ii) R – L load
?
? ?
? ?
? ? ? ?
?
m
o avg
V
V cos cos
2
?
? ?
? ?
? ? ? ?
?
m
o avg
V
I cos cos
2R
?
? ? ? ?
? ? ? ? ? ? ? ?
?
m
or
V 1
V sin2 sin2
2
2
? Circuit turn off time,
? ?
? ? ?
?
?
c
2
t
Single phase full – wave rectifier
1 ??
full converter
1 ??
Semi converter
O
V
?
?
m
2V
cos
? ?
??
?
m
V
1 cos
S1
I
o
22
I
?
?
?
O
22
I cos
2
S
I
o
I
? ? ?
?
O
I
DF
22
?
? ?
?
? ? ? ?
22
cos
2
DPF ? cos ?
cos
2
IPF
?
?
22
cos
? ?
? ?
??
? ? ? ?
2
1 cos
DPF: Displacement power factor = ? ?
S S1
cos angle b w V & I
S1
I = fundamental components of
S
I
IPF: Input power factor
IPF = DPF x DF
DF: Distortion factor
In case of continuous conductions, outgoing thyristors stop conduction before incoming
thyristor start
Load
1 ??
Full converter
1 ??
Semi – converter
R – load
? ?
? ? ?
?
m
o
V
V 1 cos
? ?
? ? ?
?
m
o
V
V 1 cos
R – L load
? ?
? ? ? ?
?
m
o
V
V cos cos
? ?
? ? ?
?
m
o
V
V 1 cos
RLE – load
? ? ? ?
??
? ? ? ? ? ? ? ? ? ?
??
?
??
m
o
V
V cos cos E ? ? ? ?
??
? ? ? ? ? ? ? ? ?
??
?
om
1
V V 1 cos E
Page 4
Form factor
?
or
o
V
FF
V
or
V : rms value of output voltage.
o
V : Average value of output voltage.
Ripple Factor
RF =
2
FF 1 ?
Distortion factor
?
01
or
V
DF
V
01
V : rms value of fundamental components of
o
V
or
V : rms value of output voltage.
Total harmonic Distortion
??
2
1
THD 1
DF
Single phase half wave uncontrolled rectifier
R – load RL – Load L – Load
O
V
m
V
?
? ?
m
V
1 cos
2
??
?
0
O
I
m
V
R ?
? ?
m
V
1 cos
2R
??
?
?
m
V
L
? ? ? ? ? ? ? 2 ?
? ?
O
I max
2
?
? ?
,
2
?
?
?
? = Extinction angle, Angle at which ? goes to zero.
? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output
voltage goes to zero after ? ? ? t when FD conducts.
Single phase half wave controlled rectifier
i) R – load
?
? ?
? ?
? ? ?
?
m
O avg
V
V 1 cos
2
?
? ?
? ?
? ? ?
?
m
O avg
V
I 1 cos
2R
?
? ?
?? ?
? ? ? ? ?
??
?
??
2
m
or
V sin2
V
42
? Input power factor = ?
2
or or
S S S
V R V
V I V
?
m
S
V
V
2
? a = firing angle
ii) R – L load
?
? ?
? ?
? ? ? ?
?
m
o avg
V
V cos cos
2
?
? ?
? ?
? ? ? ?
?
m
o avg
V
I cos cos
2R
?
? ? ? ?
? ? ? ? ? ? ? ?
?
m
or
V 1
V sin2 sin2
2
2
? Circuit turn off time,
? ?
? ? ?
?
?
c
2
t
Single phase full – wave rectifier
1 ??
full converter
1 ??
Semi converter
O
V
?
?
m
2V
cos
? ?
??
?
m
V
1 cos
S1
I
o
22
I
?
?
?
O
22
I cos
2
S
I
o
I
? ? ?
?
O
I
DF
22
?
? ?
?
? ? ? ?
22
cos
2
DPF ? cos ?
cos
2
IPF
?
?
22
cos
? ?
? ?
??
? ? ? ?
2
1 cos
DPF: Displacement power factor = ? ?
S S1
cos angle b w V & I
S1
I = fundamental components of
S
I
IPF: Input power factor
IPF = DPF x DF
DF: Distortion factor
In case of continuous conductions, outgoing thyristors stop conduction before incoming
thyristor start
Load
1 ??
Full converter
1 ??
Semi – converter
R – load
? ?
? ? ?
?
m
o
V
V 1 cos
? ?
? ? ?
?
m
o
V
V 1 cos
R – L load
? ?
? ? ? ?
?
m
o
V
V cos cos
? ?
? ? ?
?
m
o
V
V 1 cos
RLE – load
? ? ? ?
??
? ? ? ? ? ? ? ? ? ?
??
?
??
m
o
V
V cos cos E ? ? ? ?
??
? ? ? ? ? ? ? ? ?
??
?
om
1
V V 1 cos E
Page 5
Form factor
?
or
o
V
FF
V
or
V : rms value of output voltage.
o
V : Average value of output voltage.
Ripple Factor
RF =
2
FF 1 ?
Distortion factor
?
01
or
V
DF
V
01
V : rms value of fundamental components of
o
V
or
V : rms value of output voltage.
Total harmonic Distortion
??
2
1
THD 1
DF
Single phase half wave uncontrolled rectifier
R – load RL – Load L – Load
O
V
m
V
?
? ?
m
V
1 cos
2
??
?
0
O
I
m
V
R ?
? ?
m
V
1 cos
2R
??
?
?
m
V
L
? ? ? ? ? ? ? 2 ?
? ?
O
I max
2
?
? ?
,
2
?
?
?
? = Extinction angle, Angle at which ? goes to zero.
? If a free-wheeling diode is connected across the load (RL) that behaves as R-load as output
voltage goes to zero after ? ? ? t when FD conducts.
Single phase half wave controlled rectifier
i) R – load
?
? ?
? ?
? ? ?
?
m
O avg
V
V 1 cos
2
?
? ?
? ?
? ? ?
?
m
O avg
V
I 1 cos
2R
?
? ?
?? ?
? ? ? ? ?
??
?
??
2
m
or
V sin2
V
42
? Input power factor = ?
2
or or
S S S
V R V
V I V
?
m
S
V
V
2
? a = firing angle
ii) R – L load
?
? ?
? ?
? ? ? ?
?
m
o avg
V
V cos cos
2
?
? ?
? ?
? ? ? ?
?
m
o avg
V
I cos cos
2R
?
? ? ? ?
? ? ? ? ? ? ? ?
?
m
or
V 1
V sin2 sin2
2
2
? Circuit turn off time,
? ?
? ? ?
?
?
c
2
t
Single phase full – wave rectifier
1 ??
full converter
1 ??
Semi converter
O
V
?
?
m
2V
cos
? ?
??
?
m
V
1 cos
S1
I
o
22
I
?
?
?
O
22
I cos
2
S
I
o
I
? ? ?
?
O
I
DF
22
?
? ?
?
? ? ? ?
22
cos
2
DPF ? cos ?
cos
2
IPF
?
?
22
cos
? ?
? ?
??
? ? ? ?
2
1 cos
DPF: Displacement power factor = ? ?
S S1
cos angle b w V & I
S1
I = fundamental components of
S
I
IPF: Input power factor
IPF = DPF x DF
DF: Distortion factor
In case of continuous conductions, outgoing thyristors stop conduction before incoming
thyristor start
Load
1 ??
Full converter
1 ??
Semi – converter
R – load
? ?
? ? ?
?
m
o
V
V 1 cos
? ?
? ? ?
?
m
o
V
V 1 cos
R – L load
? ?
? ? ? ?
?
m
o
V
V cos cos
? ?
? ? ?
?
m
o
V
V 1 cos
RLE – load
? ? ? ?
??
? ? ? ? ? ? ? ? ? ?
??
?
??
m
o
V
V cos cos E ? ? ? ?
??
? ? ? ? ? ? ? ? ?
??
?
om
1
V V 1 cos E
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Document Description: Short Notes: Phase Controlled Converter for Electrical Engineering (EE) 2025 is part of Short Notes for Electrical Engineering preparation.
The notes and questions for Short Notes: Phase Controlled Converter have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Short Notes: Phase Controlled Converter covers topics
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Short Notes: Phase Controlled Converter
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