As power systems become more heavily loaded, system operation will be increasingly constrained by contingent cases where the power flow equations have no real solutions. Since such cases often represent the most severe threat to viable operation of the transmission system infrastructure, it is critical that a computationally efficient method be developed to provide practical control recommendations to mitigate these cases. Such an algorithm is developed in this paper. The degree of unsolvability is quantified using the distance in parameter space between the desired operating point and the closest solvable operating point. The sensitivity of this measure to different system controls, including FACTS devices, is then calculated. These sensitivities are then used to determine the optimal way to mitigate the contingency. Additionally, the dynamic consequences of loss of solution are also discussed. The method is demonstrated on systems of up to 118 buses.
ASJC Scopus subject areas
- Electrical and Electronic Engineering