Power flow solution of Ill-conditioned systems using current injection formulation: Analysis and a novel method

Abstract

Along the conventional approach in power mismatches, the current injection form of the Power Flow (PF) equations is also quite popular and extensively considered for PF analysis, however, this approach has not been profusely studied for solving ill-conditioned systems yet. This paper aims at filling this gap by studying various conventional and modern robust solvers in current injection formulation. In addition, a novel robust PF technique using this formulation is developed. Several snapshots of the Polish Transmission systems are used to validate the studied PF solvers. It is concluded that the PF equations tend to be notably worse conditioned when they are handled in the current injection form compared with its power mismatch form, which complicates the solution of ill-conditioned systems. In this regard, the results obtained with the proposed technique are promising, showing a good trade-off between robustness and efficiency.