Sunday, 23 February 2014

CALCULATION TABLE FOR SLIP RING INDUCTION MOTOR USED FOR CRANE HOISTING APPLICATION

CALCULATION TABLE FOR SLIP RING INDUCTION MOTOR USED FOR CRANE HOISTING APPLICATION


Result contain approximate values for cross-checking only
INPUTS
Power Rating
P2 
100
HP
Speed
N
980
RPM
Stator Voltage
E1
415
V
Stator Current
Is
138
A
Rotor Voltage
E2
380
V
Rotor Current
I2
124
A
Synchronous Speed
Ns
1000
RPM
Frequency
f
50
Hz
No.of Steps in Speed Control
n
5
OUTPUTS
Slip
S=(Ns-N)/Ns
0.02
Rotor Frequency
f'=Sf
1
Hz
I2= (SE2)/(√(R22+(SX2)2)
For maximum starting torque application S=(R2/X2)= 0.02 
Then R2= 0.02 X2 (Approx.)
From above two Equations we get

Rotor Reactance
X2
2.166940136
Ohm
Rotor Resistance
R2
0.043338803
Ohm

Starting Rotor Current I2s=(E2)/(√(R22+X22)


Starting Power Factor  COSØ2s=(R2)/(√(R22+X22)

Power Factor (FL)  COSØ2s=(SR2)/(√(R22+(SX2)2)




Starting Rotor Current














I2s














175.3274198














A
Starting Power Factor
COSØ2s
0.019996001
Power Factor (FL)
COSØ2
0.707106781

T= (60P2)/(2лNs)
T=(KSR2E22)/ (√(R22+(SX2)2)
Smax= (R2/X2)
Tm=(KE22)/ (2X2)
Tstm=(KE22)/ (2R2)



Torque (FL)
T
42747.13376
N-m
Torque constant
K
1.282970635
Maximum Slip
Smax
0.02
Maximum Torque
Tm
42747.13376
N-m
Maximum Starting Torque
Tstm
2137356.688
N-m

Pm=(1-S)P2
Pcu=SP2
Tsh=(60P2)/ (2лN)




Mechanical Power
Pm
73.0786
kW
Cu loss
Pcu
1.4914
kW
Shaft Torque
Tsh
42747.13376
N-m

R1’,R2’,R3’,R4’,R5’- Total resistance per phase in the rotor circuit  on the 1st, 2nd, 3rd, 4th, 5th Stud respectively
r1’,r2’,r3’,r4’,r5’- Total resistance of the different steps

R1’=(R2/Smax)
k=(Smax)1/n-1
R2’=kR1’
R3’=kR2’=k2R1’
R4’=kR3’=k3R1’
R5’=kR4’=k4R1’

R1'
2.166940136
Ohm
k
0.376060309
R2'
0.814900178
Ohm
R3'
0.306451613
Ohm
R4'
0.115244288
Ohm
R5'
0.043338803
Ohm
r1’=R1’-R2’=(1-k)R1’
r2’=R2’-R3’=(k-k2)R1’=kr1’
r3’=k2r1’
r4’=k3r1’
r5’=k4r1’





Resistance 1st Step










r1'










1.352039958










Ohm
Resistance 2nd Step
r2'
0.508448565
Ohm
Resistance 3rd Step
r3'
0.191207325
Ohm
Resistance 4th Step
r4'
0.071905486
Ohm

S1=1
S2=k
S3=K2
S4=K3
S5=Smax


Slip 1st Step
S1
1
Slip 2nd Step
S2
0.376060309
Slip 3rd Step
S3
0.141421356
Slip 4th Step
S4
0.053182959
Slip 5th Step
S5
0.02

N1=0
N2=(1-S2)Ns
N3=(1-S3)Ns
N4=(1-S4)Ns
N5=N

Speed 1st Step
N1
0
RPM
Speed 2nd Step
N2
623.9396907
RPM
Speed 3rd Step
N3
858.5786438
RPM
Speed 4th Step
N4
946.817041
RPM
Speed 5th Step
N5
980
RPM

T=(KSR2E22)/ (√(R22+(SX2)2)


Torque 1st Step




T1




1709.20167




N-m
Torque 2nd Step
T2
4534.013993
N-m
Torque 3rd Step
T3
11853.64241
N-m
Torque 4th Step
T4
28167.51282
N-m
Torque 5th Step
T5
42747.13376
N-m

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17 comments:

  1. prity24 February 2014 at 03:02

    i am a student of electrical enginnering & it helped me alot in my electrical paper of chapter slip ring.

    ReplyDelete
  2. Sowmyakmurthy25 February 2014 at 04:35

    thanks for the information which helped me in doing my project on function of Carbon brush holder and
    .<a href="http://www.mersen.com/en/landing-pages/l/mersen-india/electrical-solutions-for-motors-and-generators/slip-ring-assemblies.html>slip ring </a> in electric motor thank you.

    ReplyDelete
  3. Anonymous26 February 2014 at 22:10

    Hi Bro can you explain about
    slip ring formulas that are used in this table

    ReplyDelete
  4. iampsr26 February 2014 at 22:52

    Reference: Theory & Performance of Electrical machines by JB Guptha..... E-book version available at Google books... Hope this will help you to learn everything about SRIM

    ReplyDelete
  5. Unknown3 January 2017 at 00:26

    WHAT IS SE2 R2 I2 AND ALL PLEASE EXPALIN ME

    ReplyDelete
  6. Unknown3 January 2017 at 00:26

    WHAT IS SE2 I2 R2 AND ETC

    ReplyDelete
    Replies
    1. Unknown30 March 2017 at 22:19

      SE2=slip * rotor voltage
      I2=rotor current
      R2=rotor resistance

      Delete
    2. Anonymous23 June 2018 at 03:20

      HII

      Delete
  7. Unknown30 March 2017 at 08:58

    Please tell me about torque calculation by above details with full explanation. I can't understand.

    Thank you

    ReplyDelete
  8. Unknown30 March 2017 at 22:15

    How find out torque constant value k=1.282970635

    ReplyDelete
  9. gussie6 November 2017 at 11:47

    With P =T * w that calculation for torque above where it is given as: Torque (FL) T = 42747.13376 Nm is way too high for a 75kW(100HP) motor. Perhaps recheck that calculation........
    Also Peak Torque (TStm) dived by Full load torque (Tm) is way too high. This is not what you get in real life....... That is, calcs are out.....

    ReplyDelete
  10. vijay1 May 2018 at 02:47

    Hi Friends,
    Can anyone explain how to calculate slipring or squirrel cage induction motor operating efficiency with field measured data?

    Thank you.

    ReplyDelete
  11. Anonymous23 June 2018 at 03:20

    HLO SIR,

    CAN YOU PL. EXPLAIN IN BRIEF, HOW TO FIND R2 & X2 VALUES.

    ReplyDelete
    Replies
    1. Anonymous23 June 2018 at 03:22

      U HAVE WRITTEN FROM ABOVE TWO EQUATIONS ,,...BT HOW???

      EXPLAIN THE FORMULA OF FINDING ROTOR RESISTANCE & ROTOR REACTANCE.

      Delete
  12. Unknown4 November 2018 at 01:53

    Plz explain what meant of D,D1,D2,E,E1,E2 & F,F1,F2 in resistance box terminal?

    ReplyDelete
  13. Unknown25 August 2019 at 15:27

    ı think r2 and x2 calculation is wrong.I2=(√s)*(E2)/(√(R22+(SX2)2) must be.İs İt?

    ReplyDelete
  14. Unknown18 November 2019 at 16:21

    Is there a formula on the thickness and shaftr diameter of the inner ring?

    ReplyDelete

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