## Expression for generated emf in a dc generator, Electrical Engineering

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Q. Derive the expression for generated emf in a dc generator.

Ans.

Expression for Generated emf in a DC Generator

We shall now derive an expression for the emf generated in a d.c. generator.

Let Φ    = flux/pole in Wb

Z    = total no. of armature conductors

P    = no. of poles

A   = no. of parallel paths = 2......for wave winding

= P....for lap winding

N   = speed of armature in r.p.m.

Eg   = e.m.f. of the generator = e.m.f./parallel path

Flux cut by one conductor in one revolution of the armature, dΦ = pΦ webers

Time taken to complete one revolution,

dt = 60/n sec.

e.m.f. generated/conductor  dΦ/dt =  PΦ/60/N = PΦN/60 volts

e.m.f. generator, Eg = e.m.f. per parallel path

= (e.m.f/conductor) × No. of conductor in series per parallel path

=   PΦN/60 × Z/A

Eg    =   PΦZN/60A

A       = Z...for wave winding

= P....for lap winding

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