A Unified Framework for Multi-Stability Constrained Optimization in IBR-Dominated Power Systems

TL;DR

This paper introduces a unified optimization framework that integrates multiple stability criteria into power system operation models, facilitating secure and efficient operation amid increasing inverter-based resources.

Contribution

It develops a convex second-order cone constraint-based framework that embeds synchronization, voltage, and frequency stability criteria into power system optimization.

Findings

Framework enables simultaneous economic and stability optimization.

Constraints are convex and integrable into existing models.

Supports secure operation in inverter-dominated power systems.

Abstract

Conventional optimization frameworks for power-system operation and planning primarily focus on steady-state conditions, which become increasingly inadequate as rising penetrations of inverter-based resources (IBRs) strengthen the coupling between stability and steady-state operating conditions. Meanwhile, the software-defined nature of IBRs provides additional flexibility to co-optimize operating points and dynamic behavior. This paper proposes a unified stability-constrained optimization framework that incorporates synchronization, voltage, and frequency stability within a single scheduling model. Established stability criteria are selected and translated into explicit operational limits, after which a general formulation is developed to embed all three criteria in a common structure. The resulting second-order cone (SOC) constraints are convex and can be integrated seamlessly into existing optimization models. The proposed framework enables the simultaneous pursuit of economic efficiency and multi-dimensional stability enhancement, providing a tractable pathway for secure operation in future IBR-dominated power systems.