Designing a DC transmission line

[togahockey15]

Homework Statement

Design a dc transmission line that can transmit 225 MW of electricity 185 km with
only a 2.0% loss. The wires are to be made of aluminum and the voltage is 660 kV.


2. Homework Equations
P= IV = I^2 * R
R= p(L/A)
Power loss = Pf - Pi

Attempt at a solution
I worked through the equations above and found that the cross-sectional area of the wire, if it were a straight wire, would be equal to 1.27*10^-4 square meters. However, I have a bad feeling that this question might be asking for an answer in terms of step-up and step-down transformers, which is a topic I could definitely need some assistance with. Could anyone help explain this to me? My textbook wasn't too helpful... Thanks a lot!

 

[chroot]

1) It's asking for a DC transmission line, while transformers are AC devices.
2) It does not mention the any step-down voltages.
3) If you're only given four numbers, you're likely to only use equations with four or fewer numbers. Certainly, any realistic problem involving transformers will have many more important numbers than this problem provides.

You're definitely doing the right thing by just considering the I^2 R loss.

- Warren

 

[togahockey15]

Hey Warren,
This is probably a dumb question, but what exactly do they mean by transmission line, then?

-Nick

 

[chroot]

In this case, a piece of wire. :)

- Warren

 

[Gear300]

Transformers are part of an AC system so you don't need to worry about them. You more or less listed the equations you need. Since they've already provided you with a set voltage source, all you really need to consider for this design is the transmission line.

 

[togahockey15]

So would the design simply be how long the wire is and what its cross-sectional area should be?

 

[mgb_phys]

So would the design simply be how long the wire is and what its cross-sectional area should be?

Yes (and some extra letters because you can't have a reply < 4characters)