Help with voltage losses in cable question

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    Cable Voltage
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Discussion Overview

The discussion revolves around calculating voltage losses in cable circuits, specifically focusing on a 400kV to 132kV step-down scenario feeding a 50km cable. Participants are addressing two related questions involving different cable configurations and parameters, exploring the calculations involved in determining voltage drop.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant presents a scenario involving a 400kV circuit stepped down to 132kV, feeding a 50km, 2 wire cable, and seeks assistance in calculating voltage loss.
  • Another participant mentions that the second question is similar to the first but with different parameters, asking for clarification on where the original poster encounters difficulties.
  • A participant provides calculations for the second question, detailing cable length, resistance, and current, concluding with a voltage drop calculation of 43kV.
  • Some participants note formatting issues in the calculations and suggest using final voltage directly, indicating that the loss calculated is significant.
  • One participant introduces a more complex formula for voltage drop in a transmission line, incorporating factors like current, resistance, and reactance, while also referencing geometric mean distance (GMD) and geometric mean radius (GMR).

Areas of Agreement / Disagreement

Participants generally agree on the approach to calculating voltage loss, but there are formatting issues and uncertainties regarding specific calculations. The introduction of a more complex formula suggests differing perspectives on how to approach the problem.

Contextual Notes

Some calculations are noted to have missing units and formatting issues, which may affect clarity. The discussion includes assumptions about steady-state conditions and neglecting certain factors like capacitive reactance.

dc2209
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the 400kV circuit is then stepped down onto a 132kV circuit (Ratio 3:1) and is used to feed a 50km, 2 wire (Ostrich) cable circuit, calculate voltage loss in the cable run.

and this a table that went with the question http://gyazo.com/a47c72d45a149cffa9d781ace8a2008d

and the first question was as follows : If the output from the generator is 500 MVA and it is feeding onto a 200km long, 4 wire (Squab) cable circuit via a step up transformer (Ratio 1:16) calculate the voltage loss in the cable run. I have calculated this question and got a voltage drop value of 441.4 volts.


Just wondering if anyone could give me a hand on where to start with the second question?

Thanks.
 
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Edit: Ah, I think now I understand it.
Would have been easier with the original questions, in the right order.

Question 2 is the same as question 1, just with different numbers. Where do you run into problems?
 
mfb said:
Edit: Ah, I think now I understand it.
Would have been easier with the original questions, in the right order.

Question 2 is the same as question 1, just with different numbers. Where do you run into problems?


This is my answer, would you say that seems right to you?

Cable length = 50 km

Cable resistance = 0.227 ohms/km (single ostrich)

Ostrich resistance = 50 x 0.227 = 11.35ohms

2 cable parallel resistance = 11.35 || 11.35 = 5.68ohms

Max current per ostrich = 492A


I = 500x106/400x103 = 1250 Amps

Step up transformer ratio = 3:1
Line voltage = 400x103 / 3 = 132kV (O/P on transformer)
Line current = 1250 × 3 = 3750A
Voltage drop per run = I×R = 3750 ×11.35 = 43kV


thanks
 
Formatting looks broken in the calculation of I. And you can use the final voltage there directly. Units are missing. Apart from that, it looks right, and the loss is significant...
 
mfb said:
Formatting looks broken in the calculation of I. And you can use the final voltage there directly. Units are missing. Apart from that, it looks right, and the loss is significant...


Ah yeah the third numbers are powers. Ok thanks
 
The simplified lumped circuit of a transmission line will be:
In a symmetrical and steady state load, neglecting Xc [nevertheless Xc could be elevated] the voltage drop [approximate] will be DV=sqrt(3)*I*[R*cos(fi)+X*sin(fi)].
X = k log (GMD / GMR)
GMD=(DAB*DBC*DCA)^(1/3) where: DAB[for instance]=distance between phase A and B [typical].
GMR [according to manufacturer catalogue]
 

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