Phasor Diagram & Back EMF Derivation Quiz
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Questions and Answers

Which factor is used to correct for the geometry of the coil in the back emf derivation?

  • Distribution factor (Kd)
  • Coil span factor (Kc) (correct)
  • Flux per pole (Φ)
  • Number of turns per phase (Tph)

What represents the total flux cut by each conductor during one revolution in the back emf formula?

  • Kc
  • ΦP (correct)
  • N
  • Zph

What is the average emf induced per phase dependent on?

  • Speed (N) only
  • Number of turns (Tph) only
  • Time taken for each revolution
  • Flux cut by conductors and the number of conductors (Zph) (correct)

How do you calculate the time taken to complete one revolution in relation to speed?

<p>60/N (C)</p> Signup and view all the answers

What is the relationship between the number of turns connected in series per phase (Tph) and the number of conductors (Zph)?

<p>Tph is half of Zph (C)</p> Signup and view all the answers

Flashcards

Back EMF (Eb)

Electromotive force induced in a rotating machine, opposing the applied voltage.

Phasor Diagram

A diagram representing vector quantities (like voltage and current) in AC circuits or machines.

Under Excitation

A condition in a synchronous generator where the field excitation is less than the required level.

Flux per pole (Φ)

Magnetic flux produced by each pole in a rotating machine.

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Speed (N)

The rotational speed of the machine in revolutions per minute.

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Study Notes

Phasor Diagram for Load Condition (Under Excitation)

  • Under load conditions with constant excitation, current increases, and power factor decreases.
  • The angle φ (phase angle) increases.

Derivation for Back EMF (Eb)

  • Variables:

    • p = Number of poles
    • ∅ = Flux per pole (in Webers)
    • N = Speed in revolutions per minute
    • f = Frequency in Hertz (Hz)
    • Z<sub>ph</sub> = Number of conductors connected in series per phase
    • T<sub>ph</sub> = Number of turns connected in series per phase
    • K<sub>c</sub> = Coil span factor
    • K<sub>d</sub> = Distribution factor
  • Flux cutting: Each conductor cuts flux during one revolution.

  • Time for one revolution: Time taken for one revolution = 60/N seconds

  • Average EMF induced per conductor: (ΦpNx60)/60

  • Average EMF induced per phase: (ΦpNx2Zph)/60

  • Where N is speed.

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Description

Test your understanding of phasor diagrams under load conditions and the derivation of back EMF. This quiz covers key concepts such as phase angle changes and variables affecting electromagnetic forces in electrical engineering. Explore how these factors influence power systems and electrical machinery.

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