Basic Electronics and Electrical Engineering: Chapter 2: DC Machines
EMF Equation of a DC Generator
When the armature rotates in the magnetic field, it cuts the magnetic flux.
EMF
EQUATION OF A DC GENERATOR
When the armature
rotates in the magnetic field, it cuts the magnetic flux. Therefore emf is
induced, which is proportional is proportional to the speed of the armature,
total number of armature conductors, total flux available in the field and the
type of winding adopted in the armature.
The emf equation of a
DC generator is derived as follows.
Let,
P = Number of poles
ϕ = Flux per pole in
weber
Z = Total Total number
of armature conductors = No. of slots × No. of conductors/slot
A = No. of parallel
paths in armature
N= Speed of armature in
revolutions per minute (rpm)
E = emf induced in any
parallel path in armature
Generator emf Eg
= emf generated in any one of the parallel paths i.e., E
Average emf generated
per conductor = dϕ/dt V.
Now, flux cut/conductor
in one revolution dϕ = ϕP Wb.
No. of revolutions / second
= N/60
∴
Time for one revolution, dt = 60/N Second.
Hence, according to
Faraday's laws of electromagnetic induction,
emf generated /
conductor = dϕ / dt = [ ϕPN / 60 ] V.
emf of generator,
Eg = emf per parallel
path.
= (emf/conductor) ×
No.of conductors in series per parallel path.
= ϕΡΝ/60 × Ζ/X
Eg = [ϕZΝ/60] × [P/A] volts
For lap wound
generator, number of parallel paths is equal to number of poles, A=P
Generated emf E = [ϕZΝ/60]
V
For a wave wound
generator, number of parallel paths A = 2 (always)
∴
Generated emf, E = [ ϕZΝP / 120 ] V
Basic Electronics and Electrical Engineering: Chapter 2: DC Machines : Tag: Basic Engineering : - EMF Equation of a DC Generator
Basic Electronics and Electrical Engineering: Chapter 2: DC Machines
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