A Unified Framework for Multi-Stability Constrained Optimization in IBR-Dominated Power Systems
For power system operators, this provides a tractable method to co-optimize economics and multi-dimensional stability, addressing a growing need as IBR penetration increases.
The paper proposes a unified optimization framework that incorporates synchronization, voltage, and frequency stability constraints into power system scheduling, using convex second-order cone constraints to enable simultaneous economic and stability optimization. The framework is designed for IBR-dominated systems.
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.