A Convexification Approach for Small-Signal Stability Constrained Optimal Power Flow

In this article, a novel convexification approach for small-signal stability constraint optimal power flow has been presented that does not rely on eigenvalue analysis. The proposed methodology is based the sufficient condition stability, developed as bilinear matrix inequality (BMI), and uses network structure-preserving differential algebraic equation modeling of system. formulation semidefinite programming objective penalization feasible solution recovery, making method computationally efficient large-scale systems. A vector-norm penalty function also recovery while working over large dense BMIs with variables. An effectiveness study carried out WECC 9-bus, New England 39-bus, IEEE 118-bus test systems shows capable achieving stable equilibrium point without inflicting high stability-induced additional cost.