Help with voltage losses in cable question

In summary: Xc=change in cross-sectional area [of transmission line] per unit change in voltage.In summary, 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. The voltage drop in this cable run is estimated to be 43kV.
  • #1
dc2209
14
0
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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  • #2
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?
 
  • #3
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
 
  • #4
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...
 
  • #5
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
 
  • #6
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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FAQ: Help with voltage losses in cable question

1. What are the common causes of voltage losses in cables?

The most common causes of voltage losses in cables include resistance, inductance, and capacitance. Resistance is the opposition to the flow of electric current, while inductance is the ability of a wire to create an electromagnetic field. Capacitance, on the other hand, is the ability of a wire to store electric charge.

2. How can I prevent voltage losses in my cables?

To prevent voltage losses in cables, you can use thicker wires with lower resistance, minimize the length of the cable, and use materials with lower inductance and capacitance. Additionally, proper insulation and shielding can also help reduce voltage losses.

3. What is the impact of voltage losses on my circuit?

Voltage losses can result in a decrease in the amount of voltage available to power your circuit. This can lead to decreased performance, incorrect readings, and even damage to your equipment. Therefore, it is important to minimize voltage losses in your cables.

4. How can I measure voltage losses in my cables?

You can measure voltage losses in cables using a multimeter. Set the multimeter to measure voltage and connect the probes to the ends of the cable. The difference in voltage readings between the two ends of the cable will indicate the amount of voltage loss.

5. Are there any other factors that can contribute to voltage losses in cables?

Yes, there are other factors that can contribute to voltage losses in cables, such as temperature, frequency, and the type of material used. Higher temperatures can increase resistance and cause greater voltage losses. Similarly, higher frequencies can also lead to increased voltage losses due to the skin effect. Different materials have different levels of resistance and inductance, which can affect voltage losses in cables.

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