Inverter-connected resources can improve transient stability in low-inertia grids by injecting active power to minimize system frequency deviations following disturbances. In practice, most generation and load disturbances are step changes and the engineering figure-of-merit is often the peak overshoot in frequency resulting from these step disturbances. In addition, the inverter-connected resources tend to saturate much more easily than conventional synchronous machines. However, despite these challenges, standard controller designs must deal with averaged quantities through H2 or H∞ norms and must account for saturation in ad hoc manners. In this paper, we address these challenges by explicitly considering L∞ control with saturation using a linear matrix inequality-based approach. We show that this approach leads to significant improvements in stability performance.
@article{arxiv.1910.03720,
title = {Optimal L-Infinity Frequency Control in Microgrids Considering Actuator Saturation},
author = {Daniel Tabas and Baosen Zhang},
journal= {arXiv preprint arXiv:1910.03720},
year = {2019}
}