Integration of distributed energy resources has created a need for autonomous, dynamic voltage regulation. Decentralized Volt-VAr Control (VVC) of grid-connected inverters presents a unique opportunity for voltage management but, if designed poorly, can lead to unstable behavior when in feedback with the grid. We model the grid-VVC closed-loop dynamics with a linearized power flow approach, leveraging historical data, which shows improvement over the commonly used LinDistFlow model. This model is used to design VVC slopes by minimizing steady-state voltage deviation from the nominal value, subject to a non-convex spectral radius stability constraint, which has not been previously implemented within this context. We compare this constraint to existing convex restrictions and demonstrate, through simulations on a realistic feeder, that using the spectral radius results in more effective voltage regulation.
@article{arxiv.2510.14834,
title = {Improved Voltage Regulation with Optimal Design of Decentralized Volt-VAr Control},
author = {Daniel Russell and Dakota Hamilton and Mads R. Almassalkhi and Hamid R. Ossareh},
journal= {arXiv preprint arXiv:2510.14834},
year = {2025}
}