On the Distance to Infeasibility in DC Power Grids with Constant-Power Loads
(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.
(Less)
- author
- Jeeninga, Mark
LU
- organization
- publishing date
- 2024
- 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}}, }