Dear MATPOWER Community,

I am trying to solve a relatively large (>1000 buses) AC OPF problem. It 
consists of several individual countries (200-300 buses each). Please allow me 
to describe my procedures, to paint the full picture.

1. In a first study, I simulated all countries individually. The cross-border 
power flows to the neighboring countries is known to me from a database. I 
include these cross-border flows by implementing "pseudo-generators" of zero 
production cost or "pseudo-demand" at the borders. This procedure works nicely, 
I get convergence in almost every case I run.

2. Now I would like to simulate not only one country, but all my countries 
interconnected as one large system. I have "stitched" the transmission grids of 
the individual countries together in a realistic manner. If I run the OPF 
without further constraints, I receive converging simulations. But 
unfortunately, the flow between my countries is massively too high, probably 
due to price level differences between my countries. I would like to prevent 
these high cross-border flows, which leads to point 3.

3. I would like to limit the power flow (especially the real power flow) 
between my countries (so on individual branches in my full system), but am not 
able to get a converging simulation. I have played around extensively the MVA 
ratings of the lines (long and short term), but as soon as I impose realistic 
line ratings, I only get "infeasible solution" problems. As a workaround, I 
tried replacing the AC cross-border transmission lines with DC lines (and 
limiting real power flow in those DC lines). This does converge sometimes, but 
not always. I am using MIPS and/or IPOPT.

I would massively appreciate any help in this regard. Some questions about the 
problem:

What is the best ways to limit the power flow in an individual branch? Why are 
my simulations never converging, if I impose MVA ratings?
Has anybody solved such a problem before? It seems quite straightforward, I am 
sure someone has already done something like this with MATPOWER. What would you 
suggest me to do?
Should I rather use other solvers than MIPS or IPOPT?
As I am not an expert of transmission system, what indicators should I be 
looking at to find out, where my simulations are going wrong?

Thanks a lot for your comments.

Best Regards,

Patrick

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