How Do You Calculate Line Flows from Load Flow Analysis?

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To calculate line flows from load flow analysis in an n bus system, complex voltages and power values are essential. The flow from bus i to bus j, denoted as F(i, j), can be determined using the complex voltages V(i) and V(j) along with the line's resistance, inductance, and half the susceptance. The relationship F(i, j) + F(j, i) equals the power loss in the line is crucial for understanding the flow dynamics. Utilizing Ohm's law with these parameters allows for the calculation of line flows for all transmission lines. Load flow programs typically provide these calculations directly, simplifying the process.
maverick280857
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Hi everyone

Suppose I have an n bus system with some initial conditions and a load flow analysis is carried out, which furnishes complex voltages and powers. Now, I need to find the line flows, i.e. the power flowing over every transmission line.

If I consider a transmission line from bus i to bus j and call F(i, j) the flow from bus i to bus j and F(j, i) as the flow from bus j to bus i, then

F(i, j) + F(j, i) = Loss(i, j) = power dissipated in the line

The question is: how does one figure out F(i, j) for all valid (i, j) pairs, i.e. the line flows for all transmission lines, from a load flow analysis?

Thanks in advance.
Vivek
 
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maverick280857 said:
The question is: how does one figure out F(i, j) for all valid (i, j) pairs, i.e. the line flows for all transmission lines, from a load flow analysis?

I don't know why you're asking this, the load flow program itself can provide you with all those calculations.

But simply consider each branch from I to J. You have the complex voltages V(I) and V(J). You have the R, L, B/2 parameters of the equivalent circuit. Just use OHM's law.
 
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