Congestion control in electric power system under load and uncertainty

A method for operating a power generating facility connected to a power distribution grid having an uncertain power generation condition, said method comprising:

• predicting a probabilistic power flow forecast in a transmission line of said power distribution grid for a plurality of periods of time in a forecast horizon, wherein said transmission line is electrically coupled to said power generating facility;
• predicting, using said probabilistic power flow forecast, a probability of congestion over said transmission line of said power distribution grid during said plurality of periods of time in said forecast horizon;
• generating a mitigation plan, including said load adjustment on said transmission line, using said probability of congestion predicted over said transmission line and a thermal limit constraint of said transmission line, wherein said mitigation plan balances said load adjustment and an overlimit line capacity on said transmission line, wherein said plurality of periods of time are coupled by a constraint on a load adjustment at any period;
• and
• controlling said power generating facility, using said mitigation plan, to achieve said load modification and mitigate said probability of congestion predicted in said transmission line.