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MMLU-Pro / 11837 / (i)Theinside diameter of the stator of a small, three-phase, six-polesynchronous…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

(i)Theinside diameter of the stator of a small, three-phase, six-polesynchronous machine is 0.300 m. and the length of thestator stack is 0.250 m. If the air-gapfluxdensity is sinusoidallydistributed at the inside surface of the stator, andhas a peak value of 0.96 T. find the flux per pole. (ii) The machine of Part-(i) has 36 slots in its stator; that is, thereare 6 slots per pole. Since each pole corresponds to 180 electrical degrees, there are (180° / 6) or 30 electrical degreesper slot.(a) If each coil has a span of 5 slots, what arethe coil pitch, p, and the pitch factor,k_p? (b) What is the maximum flux linkage with each coil, ifthe coilshave two turns? (c) If the machine is running at 1000 rev/min, whatrms voltageis induced in each coil?

category

engineering

options

  1. 0.021Wb, 120 degrees, 0.91, 0.042Wbturns, 9.0 V
  2. 0.024Wb, 150 degrees, 0.9659, 0.046Wbturns, 10.3 V
  3. 0.02Wb, 140 degrees, 0.9, 0.05Wbturns, 9.5 V
  4. 0.026Wb, 130 degrees, 0.95, 0.052Wbturns, 11.6 V
  5. 0.03Wb, 160 degrees, 0.8, 0.04Wbturns, 11.2 V
  6. 0.022Wb, 135 degrees, 0.87, 0.044Wbturns, 9.9 V
  7. 0.028Wb, 165 degrees, 0.89, 0.056Wbturns, 12.3 V
  8. 0.018Wb, 155 degrees, 0.923, 0.038Wbturns, 8.7 V
  9. 0.025Wb, 145 degrees, 0.85, 0.045Wbturns, 10.8 V
  10. 0.023Wb, 170 degrees, 0.88, 0.048Wbturns, 10.1 V

src

stemez-ElectricalMachines

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Source and history

upstream_id / Original problem ID
11837
task_id
a2029ab8-bb6e-547a-8a4d-8d981ced335b
task_key
default--test--11837
task_revision_id
1
config / split
default / test

Official source

initial import