This set of Electrical Machines Multiple Choice Questions & Answers (MCQs) focuses on “EMF Polygon – 1”.

1. The angular slot pitch, γ is given by

a) γ= πP/Total number of slots Elect radians

b) γ= 180P/Total number of slots Elect degrees

c) γ= 180/Slots per pole Elect degrees

d) Any of the mentioned

View Answer

Explanation: Angle γ is the angle between adjacent slots.

2. Consider the following statements regarding the design of distributed armature winding in a 3-phase alternator:

(i) it reduces the phase-belt harmonics

(ii) it increases the utilization of the armature iron and copper

(iii) it increases rigidity and mechanical strength of the winding

(iv) it reduces copper in the overhang of the winding

Which of these statements are correct?

a) (i),(iii),(iv)

b) (ii),(iii),(iv)

c) (i),(ii),(iii)

d) (i),(ii),(iii),(iv)

View Answer

Explanation: Distributed armature winding does not reduce copper in the overhang of the winding, also k

_{dn}=(sinqnγ/2)/(qsinnγ/2), k

_{dn}

_{1}, implies it has the effect of reducing n

^{th}harmonic EMF, where q=slots per pole per phase.

3. What is the coil span for a 2 pole 18 slot machine?

a) 9

b) 4.5

c) 18

d) 6

View Answer

Explanation: Coil span= number of slots/number of poles= 18/2=9.

a) slot 9

b) slot 8

c) slot 10

d) slot 2

View Answer

Explanation: The other coil-side must be in slot 10=1+coil span=1+9 .

5. The belt factor is defined as the ratio of

a) arithmetic sum of coil EMF to the phasor sum of coil EMFs

b) phasor sum of EMF per coil to the arithmetic sum of EMF per coil

c) phasor sum of coil EMFs to the arithmetic sum of coil EMFs

d) phasor sum of coil EMFs to per phase voltage

View Answer

Explanation: Belt factor or distribution factor or breadth factor = k

_{d}= phasor sum of coil EMFs/arithmetic sum of coil EMFs.

6. The armature winding of a 2-pole, 3-phase alternator for each phase is distributed in a number of slots per phase. The RMS value of the voltage per phase is less than the RMS value of the voltage per coil multiplied by the number of coils in series because the

a) RMS value of the voltage in different coils of the phase is different

b) equal RMS voltages in different coils of the phase has mutual phase difference

c) maximum value of the induced voltage in different coils of the phase are different

d) different coils of the phase pass through different saturated regions of the magnetic circuit

View Answer

Explanation: The phase displacement will be given by slot angular pitch γ.

7. A 3-phase machine has integral slot winding with fundamental distribution factor k_{d1}, the distribution factor for n^{th} harmonic k_{dn} is ____________

a) less than k_{d1}

b) more than k_{d1}

c) equal to k_{d1}

d) depends upon the number of slots and poles

View Answer

Explanation: k

_{dn}=(sinqnγ/2)/(qsinnγ/2) and examples will show that k

_{dn}is less than k

_{d1}. This has the effect of reducing the n

^{th}harmonic EMF in comparision with fundamental EMF. This is certainly an advantage of distributing the winding in slots.

8. If a stator has 48 slots, 6 poles and 3 phase with narrow spread winding, then the third harmonic belt factor is ____________

a) 0.9556

b) 0.6407

c) 0.1944

d) None of the mentioned

View Answer

Explanation: q= (s/m)/p=k.S

_{k}/k.P

_{k}=S

_{k}/P

_{k}for fractional slot winding where k is the highest common factor between s/m and P, here q= 48/3*6 =16/6= 8/3 = S

_{k}/P

_{k}

The distribution factor for fractional slot winding’s is obtained by replacing q by S

_{k}and k

_{dn}= (sinnγ/2)/(S

_{k}sinnγ/2S

_{k}), if n=3, k

_{d3}=0.6407.

(i) amount of copper in the winding

(ii) size of the machine

(iii) harmonics in the generated EMF

(iv) cost of the machine

From these, the correct answer is

a) (i),(ii),(iii),(iv)

b) (i),(ii),(iii)

c) (ii),(iii),(iv)

d) (i),(iii),(iv)

View Answer

Explanation: The fractional pitch winding results in reduction of copper in overhang and it results in less cost of the machine. k

_{pn}=cos(nε)/2 implies reduces harmonics and thereby rendering the output EMF wave almost a sine wave.

10. The pitch factor, in rotating electrical machinery, is defined as the ratio of resultant EMF of a

a) full-pitched coil to that of a chorded coil

b) full-pitched coil to the phase EMF

c) chorded coil to the phase EMF

d) chorded coil to that of a full-pitched coil

View Answer

Explanation: K

_{p}= Resultant EMF of a chorded coil/Resultant EMF of a full pitched coil = cosε/2

**Sanfoundry Global Education & Learning Series – Electrical Machines.**

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