Power Flows and Losses in a line between two buses

[falyusuf]

Homework Statement

Attached below.

Relevant Equations

Attached below.

Question:

Equations:

My solution:

Could someone verify my answer?

 

[Babadag]

I apologize for the delay. At first glance it seemed complicated especially because Ybus = 0. in reality it is much easier because the voltages and powers are already calculated.
The calculation seems correct to me except for the losses between 2 and 3 which must be the product of V2-V3 voltage with the current and not V2 with the current conjugated as for the flow. There are not actual losses since no resistance is there but only a capacitor of 0.1 ohm reactance. That means the reactive power produced in there it is I^2*Xcap
If I23=0.038-0.053i and Iabs=0.0652 the Qloss=0.0652^2*0.1=0.0004253 [Var] p.u.
The product (V2-V3)*I23=-0.0004253 [Var] p.u. also.

 

[Babadag]

Sorry. Following the publication of Mr. Hadi Saadat

Power System Analysis chapter 6 Power Flow Analysis Example 6.7

it turns out that I was wrong and you are right.

I am still very busy and I have no time to check this.