170.MET February 2022 Q.10(b)

 A 4-pole machine running at 1500 r.p.m. has an armature with 80 slots and 6 conductors per pole. The flux per pole is 6 x 106 lines. Determine the terminal e.m.f. of d.c. generator if the coils are lap connected. If the current per conductor is 100 A, determine the electrical power

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Given

No of poles, P = 4
Rpm, N = 1500
No of slots = 80
Conductor per pole = 6
Flux per pole ø =  0.06 Wb
Current per conductor I = 100 A

To find

1. Terminal EMF
2. Power

Solution

Total number of conductors Z = 80 x 6
                                                 = 480

Total current = 100 x 4 = 400 A

No of parallel path = No of poles (LAP WINDING)
                            A = P = 4

1. Terminal EMF , E = ( ø x Z x N/ 60) x (P /A)
                                 = (0.06 x 480 x 1500 / 60 ) x (4 / 4)
                                 = 720 V

2. Power = E x I
               = 720 x 400
               = 288 kW