Calculate Load Angel & Pole Wheel Voltage Up

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Discussion Overview

The discussion revolves around calculating the load angle and pole wheel voltage for a generator system, given specific parameters such as nominal power, voltage, line frequency, and synchronous reactance. The context includes theoretical calculations and interpretations of electrical parameters.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant provides initial calculations for load angle and pole wheel voltage, stating that the generator can be assumed lossless and that there is no reactive power.
  • Another participant suggests that nominal voltage (UN) is equal to phase voltage (V) and that pole wheel voltage (UP) is represented as E, referencing a sketch.
  • A subsequent post corrects a mistake regarding the sketch provided, indicating potential confusion in the visual representation.
  • Another participant questions the interpretation of UN=3000V[Y], referencing IEC standards that suggest the voltage is between phases and proposing that the voltage per phase should be calculated as 3000/√3=1732 V.

Areas of Agreement / Disagreement

Participants express differing interpretations of the voltage definitions and calculations, indicating that multiple competing views remain without a consensus on the correct approach or values.

Contextual Notes

There are unresolved assumptions regarding the definitions of voltage in the context of the calculations, and the mathematical steps leading to the proposed values are not fully clarified.

robax25
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Nominal power PN= 3MVA
Nominal Voltage UN= 3000v (Y)
Line frequency f=50 Hz
Number of ole pairs= 2
Synchronous Reactance X1= 2.5 ohms

There is no reactive power and the generator can be assumed as lossless.

Please calculate Load angel and pole wheel voltage Up

Formula and my solution,
I=PN/UN
I=3MVA/3000V
I=1000AUN=XI +Up
Up= 3000v-2.5*1000A
UP=500v which is wrong

Load angel ? I don't know
 
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In my opinion UN=V;UP=E. See the attached sketch.
 

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  • Synchronous Generator Steady State.jpg
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Sorry.Wrong sketch.
 

Attachments

  • Synchronous Generator Steady State.jpg
    Synchronous Generator Steady State.jpg
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I am sorry. Two more parentheses are missing
 

Attachments

  • Synchronous Generator Steady State.jpg
    Synchronous Generator Steady State.jpg
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I am not sure what does represent UN=3000V[Y]. Since it is about 50 Hz IEC Standard IEC 60038 Table 3 Note 1:
These systems are generally three-wire systems unless otherwise indicated. The values indicated are voltages between phases.
So, the voltage is 3 kV between phases. The power has to be: √3.I.UN.cos(ϕ). The voltage per phase it is then 3000/√3=1732 V
 

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