Braitor, A.-C. orcid.org/0000-0002-7666-0457, Konstantopoulos, G. and Kadirkamanathan, V. (2021) Admittance matrix computation and stability analysis of droop controlled DC micro-grids with CPL. In: Findeisen, R., Hirche, S., Janschek, K. and Mönnigmann, M., (eds.) IFAC PapersOnLine. 21st International Federation of Automatic Control (IFAC) World Congress, 11-17 Jul 2020, Online conference. Elsevier , pp. 13525-13530.
Abstract
In this paper, an analytical method of computing the admittance matrix is introduced that facilitates the stability analysis of DC micro-grid systems, in presence of constant power loads (CPLs). Due to their nonlinear behaviour, CPLs can yield instability in DC micro-grids; an effect referred to as ‘negative impedance instability’. The proposed method is particularly useful when a typical controller (droop control, voltage regulation) is designed to control the DC bus voltage of the micro-grid, as it allows the factorisation of the admittance matrix separating singular matrices. In doing so, the closed-loop stability proof can be more easily approached by isolating the singularities and, then employing straightforward linear algebra tools to arrive at the stability conditions. In order to validate the proposed approach, compute the admittance matrix and test the stability conditions, a DC micro-grid with n DC/DC power converters connected to a CPL is considered. Simulation results are also displayed to demonstrate the desired operation of the DC micro-grid control and design framework.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2020 The Authors. This is an open access article under the CC BY-NC-ND license. (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | DC micro-grids; admittance matrix; stability analysis; power converters |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Funding Information: | Funder Grant number Engineering and Physical Science Research Council EP/S001107/1; EP/S031863/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 07 May 2020 08:36 |
Last Modified: | 25 May 2021 15:06 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.ifacol.2020.12.769 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:160405 |