DC Shunt Generator: Armature Current, Terminal Voltage & Efficiency

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Discussion Overview

The discussion revolves around the calculations related to a DC shunt generator, specifically focusing on determining the armature current, terminal voltage, and efficiency based on given parameters such as armature resistance, field winding resistance, mechanical loss, load resistance, and back e.m.f. constant. The scope includes homework-related problem-solving and technical reasoning.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant seeks assistance in calculating the armature current, terminal voltage, and efficiency of a shunt generator.
  • Another participant inquires about the possibility of deriving voltage from the back e.m.f.
  • A suggestion is made to draw the equivalent circuit, indicating the relationship between internal EMF, armature resistance, field resistance, and load resistance.
  • Participants discuss the use of the rotational EMF constant to find the internal EMF (Ea) and the combination of field and load resistances into an equivalent resistance.
  • There is a question regarding the formula for calculating total resistance in the circuit.

Areas of Agreement / Disagreement

Participants generally agree on the approach to drawing the equivalent circuit and the relationships between the components, but there is no consensus on the specific calculations or the correctness of the drawn circuit.

Contextual Notes

Limitations include potential misunderstandings in the application of the voltage divider formula and the combination of resistances, as well as the need for clarification on the calculations of armature current and efficiency.

TimWillz
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Homework Statement


A shunt generator has an armature resistance of 0.8Ω, a field winding resistance of 120Ω and a mechanical loss of 115W. The load resistance of 8.5Ω is connected to the output terminals of the generator. An external mover rotates the shaft of the generator at a speed of 1670rpm. If a back e.m.f. constant of the generator is 0.86Vs/rad calculate:

a) armature current
b) terminal voltage
c) efficiency

I really can't get going on this question, can anyone help me out?


Homework Equations





The Attempt at a Solution

 
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Is there any way to find a voltage from the back e.m.f.?
 
TimWillz said:
Is there any way to find a voltage from the back e.m.f.?

Yes there is. Can you draw the equivalent circuit? You have the internal EMF with the armature resistance in series, and then both the field resistance and load resistance in parallel to complete the circuit. The terminal voltage is the one across the parallel resistors.
 
uart said:
Yes there is. Can you draw the equivalent circuit? You have the internal EMF with the armature resistance in series, and then both the field resistance and load resistance in parallel to complete the circuit. The terminal voltage is the one across the parallel resistors.

Hi, thanks for the reply. I have tried to draw the equivalent circuit and calculate the values but to no success, is there any way you could show me how you would do it?

Thanks
 
Ive got this as the circuit, I'm not sure if its correct though.
 

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TimWillz said:
Ive got this as the circuit, I'm not sure if its correct though.

Yes that looks right. Use the rotational EMF constant to find Ea and also combine the field resistance and the load resistance into a single equivalent resistance. Now you can use the voltage divider formula to find the terminal voltage.
 
uart said:
Yes that looks right. Use the rotational EMF constant to find Ea and also combine the field resistance and the load resistance into a single equivalent resistance. Now you can use the voltage divider formula to find the terminal voltage.

Thanks! I've got Ea = 0.86*174.9 = 150.4v

Is it just (RA*RF*RL)/(RA+RF+RL) to find the total resistance?
 

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