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Page 1
Induced emf equation
a
NZ P
E =
60 A
?
??
??
??
? ? = flux per pole wb ?
? ? N = speed of machine rpm
P = number of poles
A = number of paralled path
Z = number of conductors
A = 2 for wave winding
A = P for lap winding
If speed is given in rad/sec
a
ZP
E =
2A
?? ??
??
?
??
where ? = speed (rad/s)
? ?
m
PZ
= K
2A
??
??
??
? ? ? ? ?
?
m
PZ
K = = machine constant
2A ?
Developed Torque
ma
T = K I ?
m
PZ
K = = machine constant
2A ?
= flux per pole ?
a
I = armature current
Page 2
Induced emf equation
a
NZ P
E =
60 A
?
??
??
??
? ? = flux per pole wb ?
? ? N = speed of machine rpm
P = number of poles
A = number of paralled path
Z = number of conductors
A = 2 for wave winding
A = P for lap winding
If speed is given in rad/sec
a
ZP
E =
2A
?? ??
??
?
??
where ? = speed (rad/s)
? ?
m
PZ
= K
2A
??
??
??
? ? ? ? ?
?
m
PZ
K = = machine constant
2A ?
Developed Torque
ma
T = K I ?
m
PZ
K = = machine constant
2A ?
= flux per pole ?
a
I = armature current
Classification of DC Machine
(i) Separately excited
(ii) Shunt excited
(iii) Series excited
(iv) Compound Excited
Page 3
Induced emf equation
a
NZ P
E =
60 A
?
??
??
??
? ? = flux per pole wb ?
? ? N = speed of machine rpm
P = number of poles
A = number of paralled path
Z = number of conductors
A = 2 for wave winding
A = P for lap winding
If speed is given in rad/sec
a
ZP
E =
2A
?? ??
??
?
??
where ? = speed (rad/s)
? ?
m
PZ
= K
2A
??
??
??
? ? ? ? ?
?
m
PZ
K = = machine constant
2A ?
Developed Torque
ma
T = K I ?
m
PZ
K = = machine constant
2A ?
= flux per pole ?
a
I = armature current
Classification of DC Machine
(i) Separately excited
(ii) Shunt excited
(iii) Series excited
(iv) Compound Excited
Page 4
Induced emf equation
a
NZ P
E =
60 A
?
??
??
??
? ? = flux per pole wb ?
? ? N = speed of machine rpm
P = number of poles
A = number of paralled path
Z = number of conductors
A = 2 for wave winding
A = P for lap winding
If speed is given in rad/sec
a
ZP
E =
2A
?? ??
??
?
??
where ? = speed (rad/s)
? ?
m
PZ
= K
2A
??
??
??
? ? ? ? ?
?
m
PZ
K = = machine constant
2A ?
Developed Torque
ma
T = K I ?
m
PZ
K = = machine constant
2A ?
= flux per pole ?
a
I = armature current
Classification of DC Machine
(i) Separately excited
(ii) Shunt excited
(iii) Series excited
(iv) Compound Excited
Page 5
Induced emf equation
a
NZ P
E =
60 A
?
??
??
??
? ? = flux per pole wb ?
? ? N = speed of machine rpm
P = number of poles
A = number of paralled path
Z = number of conductors
A = 2 for wave winding
A = P for lap winding
If speed is given in rad/sec
a
ZP
E =
2A
?? ??
??
?
??
where ? = speed (rad/s)
? ?
m
PZ
= K
2A
??
??
??
? ? ? ? ?
?
m
PZ
K = = machine constant
2A ?
Developed Torque
ma
T = K I ?
m
PZ
K = = machine constant
2A ?
= flux per pole ?
a
I = armature current
Classification of DC Machine
(i) Separately excited
(ii) Shunt excited
(iii) Series excited
(iv) Compound Excited
Characteristics of DC Generator
External characteristics
If no-load voltage is same for all types of generators:
There are two categories of compound generators/motors
1. Cumulative Compound => If series field flux aids the shunt fields flux.
2. Differentially Compound => If ser es field flux opposes the shunt field flux.
If full – load voltage of all generators is kept same
1 ? series excited 5 ? separately excited
2 ? over compound 6 ? shunt excited
3 ? level compound 7 ? differentially compound
4 ? under compound
Conditions for voltage build-up in Shunt Generator
1) There must be residual flux.
2) Correct polarity of field winding with respect to armature winding so that field flux aids
residual flux for a given direction of rotation.
3) Field Resistance must be less than critical value
? ?
f f cr
R < R
Critical resistance is equal to the slop of air-gap line.
4) Speed of rotation should be more than critical value for a given field resistance
f
R .
cr
N > N
E y
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Nov 24, 2024 Last updated |
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