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Performance metrics for droop-controlled microgrids with variable voltage dynamics

Tegling, Emma LU ; Gayme, Dennice F. and Sandberg, Henrik LU (2015) 54th IEEE Conference on Decision and Control, CDC 2015 In Proceedings of the IEEE Conference on Decision and Control 54rd IEEE Conference on Decision and Control,CDC 2015. p.7502-7509
Abstract

This paper investigates the performance of a microgrid with droop-controlled inverters in terms of the total power losses incurred in maintaining synchrony under persistent small disturbances. The inverters are modeled with variable frequencies and voltages under droop control. For small fluctuations from a steady state, these transient power losses can be quantified by an input-output H2 norm of a linear system subject to distributed disturbances. We evaluate this H2 norm under the assumption of a dominantly inductive network with identical inverters. The results indicate that while phase synchronization, in accordance with previous findings, produces losses that scale with a network's size but only weakly depend on its connectivity,... (More)

This paper investigates the performance of a microgrid with droop-controlled inverters in terms of the total power losses incurred in maintaining synchrony under persistent small disturbances. The inverters are modeled with variable frequencies and voltages under droop control. For small fluctuations from a steady state, these transient power losses can be quantified by an input-output H2 norm of a linear system subject to distributed disturbances. We evaluate this H2 norm under the assumption of a dominantly inductive network with identical inverters. The results indicate that while phase synchronization, in accordance with previous findings, produces losses that scale with a network's size but only weakly depend on its connectivity, the losses associated with the voltage control will be larger in a highly connected network than in a loosely connected one. The typically higher rate of convergence in a highly interconnected network thus comes at a cost of higher losses associated with the power flows used to reach the steady state.

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Please use this url to cite or link to this publication:
author
; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Inverters, Load modeling, Loss measurement, Microgrids, Power system stability, Transient analysis, Voltage control
host publication
54rd IEEE Conference on Decision and Control,CDC 2015
series title
Proceedings of the IEEE Conference on Decision and Control
volume
54rd IEEE Conference on Decision and Control,CDC 2015
article number
7403404
pages
8 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
conference location
Osaka, Japan
conference dates
2015-12-15 - 2015-12-18
external identifiers
  • scopus:84962016580
ISSN
0743-1546
ISBN
9781479978861
DOI
10.1109/CDC.2015.7403404
language
English
LU publication?
no
additional info
Publisher Copyright: © 2015 IEEE.
id
38655a09-dcf0-4c2c-a9a7-2b892e332783
date added to LUP
2021-11-24 09:57:29
date last changed
2022-04-27 06:16:44
@inproceedings{38655a09-dcf0-4c2c-a9a7-2b892e332783,
  abstract     = {{<p>This paper investigates the performance of a microgrid with droop-controlled inverters in terms of the total power losses incurred in maintaining synchrony under persistent small disturbances. The inverters are modeled with variable frequencies and voltages under droop control. For small fluctuations from a steady state, these transient power losses can be quantified by an input-output H2 norm of a linear system subject to distributed disturbances. We evaluate this H2 norm under the assumption of a dominantly inductive network with identical inverters. The results indicate that while phase synchronization, in accordance with previous findings, produces losses that scale with a network's size but only weakly depend on its connectivity, the losses associated with the voltage control will be larger in a highly connected network than in a loosely connected one. The typically higher rate of convergence in a highly interconnected network thus comes at a cost of higher losses associated with the power flows used to reach the steady state.</p>}},
  author       = {{Tegling, Emma and Gayme, Dennice F. and Sandberg, Henrik}},
  booktitle    = {{54rd IEEE Conference on Decision and Control,CDC 2015}},
  isbn         = {{9781479978861}},
  issn         = {{0743-1546}},
  keywords     = {{Inverters; Load modeling; Loss measurement; Microgrids; Power system stability; Transient analysis; Voltage control}},
  language     = {{eng}},
  month        = {{02}},
  pages        = {{7502--7509}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{Proceedings of the IEEE Conference on Decision and Control}},
  title        = {{Performance metrics for droop-controlled microgrids with variable voltage dynamics}},
  url          = {{http://dx.doi.org/10.1109/CDC.2015.7403404}},
  doi          = {{10.1109/CDC.2015.7403404}},
  volume       = {{54rd IEEE Conference on Decision and Control,CDC 2015}},
  year         = {{2015}},
}