Small-Signal Stability Constrained Optimal Power Flow: A Convexification Approach [article]

Parikshit Pareek, Hung D. Nguyen
2019 arXiv   pre-print
In this paper, a novel Convexified Small-Signal Stability Constraint Optimal Power Flow (SCOPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition for small-signal stability, developed as a Bilinear Matrix Inequality (BMI) and uses network structure-preserving Differential Algebraic Equation (DAE) modeling of power system. The proposed formulation is based on Semi-definite Programming (SDP), and objective penalization that
more » ... has been proposed for feasible solution recovery making the method tractable for large-scale systems. A vector-norm based objective penalty function has also been proposed for feasibility recovery while working over large and dense BMIs with matrix variables. The effectiveness study, carried out on WECC 9-bus and New England 39-bus test systems, shows that proposed method has been able to achieve the stable equilibrium point without inflicting a large induced cost of stability.
arXiv:1911.12001v1 fatcat:ztbnxtt4ejeoxolxvgr6f5udpm