While it is theoretically possible to construct such a case, I think this is a 
completely moot point. The only time the real power injections at both ends of 
a line are positive is when the active power flow is near zero (not, for 
example, 100MW and 70 MW). Theoretically we could define the capacity to be a 
number smaller than the losses, but larger than either injection, creating the 
“dilemma” you pose, but nobody builds a line whose limit can be exceeded when 
the “flow” is less than the losses of the line.

So, no, I have no plans to consider case 2.

-- 
Ray Zimmerman
Senior Research Associate
B30 Warren Hall, Cornell University, Ithaca, NY 14853
phone: (607) 255-9645



On Nov 12, 2013, at 12:24 PM, Aftognosia Aftognosia <[email protected]> 
wrote:

> I am trying to analyse in depth , the code of matpower in order to make 
> suggestions to you.
> SO in terms of losses, let us assume that bus A and bus B are both connected 
> to each other.
> A power comes out of bus A and is 100MW and power goes into bus B and is 
> 70MW. 
> So the losses are 30MW. 
> Line capacity is 100MW. 
> 
> Recently, a questions has been asked about the following situation.
> The power coming out of bus A is 100MW and the power going into bus B is 
> -70MW.
> So the losses are 100 + 70 = 170 MW.
> The line capacity is 100MW. 
> But the losses are 170MW > line capacity = 100MW. 
> 
> If we consider the losses as a power that comes out of a certain point in 
> line, then this is possible (case 1). However, in the research community 
> there have been suggestions to consider the losses less than the line 
> capacity (case 2).
> As far as I can see, you consider the first case in Matpower. Do you aim at 
> considering the second case ?

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