De Persis, C, Monshizadeh, N, Schiffer, JF orcid.org/0000-0001-5639-4326 et al. (1 more author) (2016) A Lyapunov Approach to Control of Microgrids with a Network-Preserved Differential-Algebraic Model. In: Proceedings of IEEE Conference on Decision and Control. 55th IEEE Conference on Decision and Control, 12-14 Dec 2016, ARIA Resort & Casino, Las Vegas, NV, USA. IEEE ISBN 978-1-5090-1837-6
Abstract
We provide sufficient conditions for asymptotic stability and optimal resource allocation for a networkpreserved microgrid model with active and reactive power loads. The model considers explicitly the presence of constantpower loads as well as the coupling between the phase angle and voltage dynamics. The analysis of the resulting nonlinear differential algebraic equation (DAE) system is conducted by leveraging incremental Lyapunov functions, definiteness of the load flow Jacobian and the implicit function theorem.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. |
Keywords: | Load modeling, Mathematical model, Reactive power, Inverters, Integrated circuit modeling, Frequency synchronization, Power system stability |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Institute of Communication & Power Networks (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Sep 2016 10:07 |
Last Modified: | 11 Apr 2017 07:36 |
Status: | Published |
Publisher: | IEEE |
Identification Number: | 10.1109/CDC.2016.7798653 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:105155 |