Transmission Line Question Short Line Model: Power Flow

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snerts50

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I haven't posted here in a while, but hello!

I am now under taking my masters and have run into a conundrum.

We are working on transmission line modeling, and I have the following homework problem:

2) The per-phase impedance of a short three-phase transmission line is 0.5∠53.15◦ Ω. The tree-phase

load at the receiving end is 900 kW at 0.8 power factor lagging. Draw the phasor diagram with the

line current I, as a reference and for the line-to-line sending end voltage is 3.3 kV, determine:

a. the receiving-end line-to-line voltage in kV;

b. the line current;

c. the sending-end power factor;

d. sending-end three phase complex power;

e. the three-phase line losses.

typically, these problems give load (sending or receiving) values for one side or the other. And using the short transmission line model of Vs=Vr+ZI, you solve from there.

But I was given sending voltage, and receiving load. So I cannot figure out, really, how to start. I need to find Receiving Voltage, and based on the sequence of questions, I can do so without the line current.

Does any one have any thoughts on this?

I am attempting to build the vector diagram to figure out voltage at the receiving end, so that I can work backwards. Since I am given load and pf, I assume those are key, but cannot think of how to use them with the remainder of the given information.

Any help would be greatly appreciated.

 
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