t{wee-?frase Infuction

E {b c tr ic a f lvt ac frirte s

p

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tr1.,t,,f,,

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I

t{wee-?frase InfuctionSvlotors

?qrt (z).l

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[t* ffi *:f Ji'. Hr-ffir

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Example (ll)

The three-phase induction motor having star-connected rotor has an induced e.m.f. of 50 Vbetween the slip rings at standstiil on open-circuit. The rotor has a resistance and reactanceper phase of 0.5 Q and 4.5 C) respectively. Find the current per phase and the power factor atstarting when (i) the slip rings are short circuited, (ii) the slip rings are connected to a star-connected rheostat of4 C2 per phase.

4.5 st 4.5*

aR"fur 5l^p Q"tor Gl'e,istotr,k,

Example (12)

A star-connected rotor winding of three-phase .induction motor has a resistance of 0.2 Cl per

phase and standstiil reactance of 1 Cl per phasp. Find the value of external resistance per,

phase to be added to give maximum starting torque. What is the power factor of the rotor

circuit then?

Example (13)

-

A 150 kW, 3000 V, 50 Ha 6-pole, star-connected induction motor has a star-connected slip-

ring rotor with a transformation ratio of 3.6 (stator/rotor). The rotor resistance is 0.1 Q per

phase and its per phase leakage inductance is 3.61 mH. The stator impedance may be

neglected. Find the starting torque on rated voltage with short-circuited siip rings.

o'5sl

Example (14)

The rotor resistance and standstill reactance per phase of a 3-phase induction motor are 0.02

f) and 0.1 Q respectively. What should be the value of the external resistance per phase to be

inserted in the rotor circuit to give mocimum torque at starting?

Examole (15)

The rotor resistance and standstill reactance of a 3-phase induction motor are 0.2 f,l and I Qper phase. The voltage between slip rings with rotor locked and full voltage on the stator is

110 V.

(i) 'Find the starting rotor ourent/phase when the rotor slip rings are short-circuited to form

the normal running condition.

(ii) What should be the value of the external resistance per phase to be. inserted in the rotor

circuit to give maximum torque at starting? Also, find the rotor cur:ent/phase nnder this

I

Ill

I

,i.

I

Ii,

I

IiIli

IIIt#

condition.

Nr9.tjr)sr-N, ,/

tto uot

St"t "rGot nr

5t la"r C?.tn

Stotcnr -TLns

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/){"f,or lurns

Ns-il

I.

l'Itrl:l':

I:

II

(ru

A 440 v, 3-phase, 50 Hz, 4-pole, Y-connected induction motor has a full-load speed of L4zsr.p.m. the rotor has an impedance of (0.4 + j 4) O and rotor/stator turns ratio is 0.8. Calculate(i)firlIJoadtorqug,(ii)rotorcr:rren!and(iii)full.loadrotorCuloss.

Example(17)

Examole (20)t

An 8-pole, 3.phase, 50 Hzinduction motor lias. a rotor resistance of 0.025 CJ/phase and a rotor

A 3-phase, 4001200 V, Y-Y connected wound-rotor induction motor has 0.06 (l rotor

resistance and 0.3 Ct standstill reactance per phase. Find the additional resistance required in

the rotor circuit to make the starting torque equal to the maximum torque.

Example (22)

An 8-pole,50Hz,3-phase slip ring motor has an effective rotor resistance of 0.07 fyphase.Its staliing speed is 630 r.p.m. How much resistance must be inserted per phase to obtain themaximum torque at starting? Ignore the magnetizing current and stator leakage impedance.

Example (23)

A 4-pole, 3-phase, 50 lll slip-ring induction motor rotates at 1440 r.p.m. with slip,ringterminals short-circuited. The rotor resistance is'0.1 C)/phase and standstill reactance/phase is

0.6 C). If an external resistance of 0.1 O/phase is added to the rotor circuit, what will be the

new full-load speed?

Example (24)

A 6-pole, 50 Hz, 3-phase induction motor has rotor resistance and reactance per phase of 0.02

Q and 0.1 O respeotively. At what speed is the torque morimum? What must be the value ofexternal rotor resistance per phase to produce two-third of the maximum torque at starting?

Examnle (2il

A 3-phase induction "motor having a 6-pole, star-cormected stator winding nrns on 240 V, SO

Hz supply. The rotor resistance and standstill reactance are 0.12 e and 0.g5 C) per phase. The

ratio of stator to rotor tums'ratio is 1,8 and full-load slip is 4Yo. Calcalate the developed

torque at full-load, madmum torque and the sRe.1d at ma:<imum torque.

Examnle (26)

T[e rotor of a 4-poie, 50 Hz, 3-phase slip-ring induction motor has a resistance of 0.25

C2/phase and runs at 1440 r.p.m. on fuIl-load. Calcuiate the extemal resistance per phase

which must be added to lower the speed to 1200 r.p.B., the torque remaining constant in both

cases.

I!T

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Three Phase Induction Motors

f?otor GWYF

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t{wee-?frase Infuction

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