Optimal power flow with security operation region

This paper presents an approach to include security constraints in the Optimal Power Flow (OPF) problem aiming at providing a power system operation in safe region. The proposed operating region is formed by elliptical wraps that enclose historical and safe system operative states, which include wind power generation and demand scenarios. The wraps are obtained through a proposed non-Linear Programming (NLP) problem that defines the ellipse's shape by using nodal voltages at buses of interest. In addition, the proposed approach can determine the operational risk, that is, the risk of an operative state leaving the safety region, by applying a relaxation method. The proposed methodology is tested in the 39-bus New England system and 118-bus IEEE test system. The results show that the elliptical wraps are effective to enclose the secure operational states and maintain the system within a safe region.

Automated summary

This paper proposes an approach to include security constraints in the Optimal Power Flow (OPF) problem by using elliptical wraps to enclose safe system operative states, and the proposed methodology is tested in actual power systems to demonstrate its effectiveness in maintaining the system within a safe region.