How Do You Calculate Line Flows from Load Flow Analysis?

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SUMMARY

The discussion focuses on calculating line flows from load flow analysis in an n bus system. It emphasizes the relationship between line flows, represented as F(i, j) and F(j, i), and the power dissipated in the line, Loss(i, j). The participants highlight that load flow programs can directly provide these calculations, and suggest using complex voltages V(I) and V(J) along with the resistance (R), inductance (L), and half of the susceptance (B/2) parameters to determine line flows using Ohm's law.

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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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