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On the Distance to Infeasibility in DC Power Grids with Constant-Power Loads

Jeeninga, Mark LU orcid (2024) 2024 European Control Conference, ECC 2024 p.3331-3336
Abstract

This paper is concerned with the feasibility of the power flow in DC power grids with constant power loads. We introduce the notion of distance to infeasibility as a voltage stability index and robustness measure for power flow feasibility. In particular, we study the p-norm distance to infeasibility in the domain of the constant power loads, and show how this distance may be expressed as a mathematical program. Necessary and sufficient matrix inequalities are presented that guarantee a minimal p-norm distance between a given vector of power demands and the boundary of infeasibility. For the cases 1-norm and ∞-norm distance we show that the condition can be formulated as (multiple) linear matrix inequalities, whereas in all other cases... (More)

This paper is concerned with the feasibility of the power flow in DC power grids with constant power loads. We introduce the notion of distance to infeasibility as a voltage stability index and robustness measure for power flow feasibility. In particular, we study the p-norm distance to infeasibility in the domain of the constant power loads, and show how this distance may be expressed as a mathematical program. Necessary and sufficient matrix inequalities are presented that guarantee a minimal p-norm distance between a given vector of power demands and the boundary of infeasibility. For the cases 1-norm and ∞-norm distance we show that the condition can be formulated as (multiple) linear matrix inequalities, whereas in all other cases the matrix inequalities are strictly concave and thus non-convex. For the 2-norm distance we show that the distance to infeasibility may be computed via bilinear matrix inequalities. A numerical example for the ∞-norm distance to infeasibility for the 39 bus New England power grid is provided.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2024 European Control Conference, ECC 2024
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2024 European Control Conference, ECC 2024
conference location
Stockholm, Sweden
conference dates
2024-06-25 - 2024-06-28
external identifiers
  • scopus:85200593317
ISBN
9783907144107
DOI
10.23919/ECC64448.2024.10591053
language
English
LU publication?
yes
id
0051dd44-17f1-4a6e-990e-a29fd03f576d
date added to LUP
2024-11-11 09:29:58
date last changed
2025-04-04 14:06:59
@inproceedings{0051dd44-17f1-4a6e-990e-a29fd03f576d,
  abstract     = {{<p>This paper is concerned with the feasibility of the power flow in DC power grids with constant power loads. We introduce the notion of distance to infeasibility as a voltage stability index and robustness measure for power flow feasibility. In particular, we study the p-norm distance to infeasibility in the domain of the constant power loads, and show how this distance may be expressed as a mathematical program. Necessary and sufficient matrix inequalities are presented that guarantee a minimal p-norm distance between a given vector of power demands and the boundary of infeasibility. For the cases 1-norm and ∞-norm distance we show that the condition can be formulated as (multiple) linear matrix inequalities, whereas in all other cases the matrix inequalities are strictly concave and thus non-convex. For the 2-norm distance we show that the distance to infeasibility may be computed via bilinear matrix inequalities. A numerical example for the ∞-norm distance to infeasibility for the 39 bus New England power grid is provided.</p>}},
  author       = {{Jeeninga, Mark}},
  booktitle    = {{2024 European Control Conference, ECC 2024}},
  isbn         = {{9783907144107}},
  language     = {{eng}},
  pages        = {{3331--3336}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{On the Distance to Infeasibility in DC Power Grids with Constant-Power Loads}},
  url          = {{http://dx.doi.org/10.23919/ECC64448.2024.10591053}},
  doi          = {{10.23919/ECC64448.2024.10591053}},
  year         = {{2024}},
}