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arXiv · 2404.19520

Passivation of Clustered DC Microgrids with Non-Monotone Loads

Albertus Johannes Malan·Joel Ferguson·Michele Cucuzzella·Jacquelien M. A. Scherpen·Sören Hohmann
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Abstract

In this paper, we consider the problem of voltage stability in DC networks containing uncertain loads with non-monotone incremental impedances and where the steady-state power availability is restricted to a subset of the buses in the network. We propose controllers for powered buses that guarantee voltage regulation and output strictly equilibrium independent passivity (OS-EIP) of the controlled buses, while buses without power are equipped with controllers that dampen their transient behaviour. The OS-EIP of a cluster containing both bus types is verified through a linear matrix inequality (LMI) condition, and the asymptotic stability of the overall microgrid with uncertain, non-monotone loads is ensured by interconnecting the OS-EIP clusters. By further employing singular perturbation theory, we show that the OS-EIP property of the clusters is robust against certain network parameter and topology changes.

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Albertus Johannes Malan, Joel Ferguson, Michele Cucuzzella, Jacquelien M. A. Scherpen, Sören Hohmann. 2024-04-30. Passivation of Clustered DC Microgrids with Non-Monotone Loads. https://arxiv.org/abs/2404.19520

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