Controlling Grid-Connected Inverters under Time-Varying Voltage Constraints

Inverter-based resources (IBRs) are becoming increasingly prevalent in power systems. Due to the inherently low inertia of inverters, there is a heightened risk of disruptive voltage oscillations. A particular challenge in the operation of grid- connected IBRs is the variations in the grid side voltage. The changes in the grid side voltage introduce nonlinear and time-varying constraints on the inverter voltages themselves. For an operator, it would be useful to know the set of active and reactive powers that can be tracked under these time-varying conditions. This paper introduces an optimization model designed to assess the achievability of power setpoints within the framework of constrained static state-feedback power control. Additionally, we present a Monte Carlo simulation-based method to optimize the set of achievable power setpoints. The efficacy of the proposed approach is validated through simulation results.