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Designing Bregman storage functions for microgrid control

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In this talk, we discuss an energy-based analysis and control framework for microgrids. The starting point is an energy function comprising the kinetic energy and terms taking into account the reactive power stored in the lines. We then shape this energy function with the addition of a tunable voltage-dependent term, and construct Bregman storage functions satisfying suitable dissipation inequalities. Several microgrids dynamics that have similarities or coincide with the dynamics already considered in the literature are captured in this analysis framework. The twist with respect to existing results is that our Bregman storage functions allow for a large signal analysis of the coupled microgrid, and obviate the need for simplifying linearization techniques, and for the restrictive decoupling assumption in which the frequency dynamics is fully separated from the voltage one. Finally, we will discuss how our analysis scheme extends to differential algebraic models of the microgrid.

This talk is part of the CUED Control Group Seminars series.

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