Passivation of Clustered DC Microgrids with Non-Monotone Loads
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911860176977920 |
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| author | Malan, Albertus Johannes Ferguson, Joel Cucuzzella, Michele Scherpen, Jacquelien M. A. Hohmann, Sören |
| author_facet | Malan, Albertus Johannes Ferguson, Joel Cucuzzella, Michele Scherpen, Jacquelien M. A. Hohmann, Sören |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Passivation of Clustered DC Microgrids with Non-Monotone Loads Malan, Albertus Johannes Ferguson, Joel Cucuzzella, Michele Scherpen, Jacquelien M. A. Hohmann, Sören Systems and Control 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. |
| title | Passivation of Clustered DC Microgrids with Non-Monotone Loads |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2404.19520 |