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arXiv · 1910.03720

Optimal L-Infinity Frequency Control in Microgrids Considering Actuator Saturation

Daniel Tabas·Baosen Zhang
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Abstract

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 $H_2$ or $H_\infty$ norms and must account for saturation in ad hoc manners. In this paper, we address these challenges by explicitly considering $L_\infty$ control with saturation using a linear matrix inequality-based approach. We show that this approach leads to significant improvements in stability performance.

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Daniel Tabas, Baosen Zhang. 2019-10-08. Optimal L-Infinity Frequency Control in Microgrids Considering Actuator Saturation. https://arxiv.org/abs/1910.03720

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