CUED Publications database

A modular design of incremental Lyapunov functions for microgrid control with power sharing

De Persis, C and Monshizadeh, N (2017) A modular design of incremental Lyapunov functions for microgrid control with power sharing. In: UNSPECIFIED pp. 1501-1506..

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In this paper we contribute a theoretical framework that sheds a new light on the problem of microgrid analysis and control. The starting point is an energy function comprising the kinetic energy associated with the elements that emulate the rotating machinery and terms taking into account the reactive power stored in the lines and dissipated on shunt elements. We then shape this energy function with the addition of an adjustable voltage-dependent term, and construct incremental storage functions satisfying suitable dissipation inequalities. Our choice of the voltage-dependent term depends on the voltage dynamics/controller under investigation. Several microgrids dynamics that have similarities or coincide with dynamics already considered in the literature are captured in our incremental energy analysis framework. The twist with respect to existing results is that our incremental storage functions allow for an analysis of the coupled microgrid obviating the need for simplifying linearization techniques and for the restrictive decoupling assumption in which the frequency dynamics is fully separated from the voltage one.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Divisions: Div B > Electronics, Power & Energy Conversion
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:11
Last Modified: 08 Apr 2021 07:20
DOI: 10.1109/ECC.2016.7810502