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MMLU-Pro / 12152 / (a) Two single-phase alternators are in parallel and operatingin synchronism.…

Problem

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

question

(a) Two single-phase alternators are in parallel and operatingin synchronism. One machine has a sine wave effectivevoltage of 100 volts, the second has a square flat-top wave form of 100 volts effective. What is the maximum instantaneous circulating current between the two machines , if the synchronous impedance of each machine is 3.68 ohms? (b) Two single-phase alternators, each having a synchronousreactance of 3.678 ohms and an effective resistanceof 0.0554 ohm, are connected in parallel when theinduced voltages are 6650 and 6550 volts, respectively, and in exact synchronism. Determine the circulating current and its power factor with respect to the terminal voltage.

category

engineering

options

  1. Maximum instantaneous current = 14.6 amp, Circulating current = 12.59 amp, Power factor = 0.01 lagging
  2. Maximum instantaneous current = 14.2 amp, Circulating current = 12.7 amp, Power factor = 0.018 lagging
  3. Maximum instantaneous current = 15.0 amp, Circulating current = 14.5 amp, Power factor = 0.03 lagging
  4. Maximum instantaneous current = 16.0 amp, Circulating current = 16.5 amp, Power factor = 0.01 leading
  5. Maximum instantaneous current = 13.0 amp, Circulating current = 13.2 amp, Power factor = 0.017 lagging
  6. Maximum instantaneous current = 13.6 amp, Circulating current = 13.59 amp, Power factor = 0.015 lagging
  7. Maximum instantaneous current = 12.0 amp, Circulating current = 15.0 amp, Power factor = 0.025 leading
  8. Maximum instantaneous current = 12.6 amp, Circulating current = 15.59 amp, Power factor = 0.02 lagging
  9. Maximum instantaneous current = 11.5 amp, Circulating current = 14.0 amp, Power factor = 0.02 leading
  10. Maximum instantaneous current = 13.5 amp, Circulating current = 13.5 amp, Power factor = 0.015 leading

src

stemez-ElectricalMachines

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Source and history

upstream_id / Original problem ID
12152
task_id
1012865a-38bf-5d5f-a318-6dde8e43d717
task_key
default--test--12152
task_revision_id
1
config / split
default / test

Official source

initial import