A Decomposition Approach to Multi-Region Optimal Power Flow in Electricity Networks
Chasparis, Georgios LU ; Rantzer, Anders LU
and Jörnsten, Kurt
(2013)
European Control Conference, 2013
p.3024-3030
- Abstract
- We present a decomposition approach to a class of social welfare optimization problems for optimal power flow in multi-region electricity networks. The electricity network is decomposed into multiple regions which decide independently over the amount of power produced within the region and exchanged with neighboring regions. We decompose the overall power flow (or social welfare) optimization into region-based optimization problems (namely, power flow game), which is based on the introduction of dual variables representing nodal and link prices. Due to the interdependencies between regions’ utilities, the social welfare maximizer might not necessarily correspond to a Nash equilibrium of the power flow game. We derive conditions under which... (More)
- We present a decomposition approach to a class of social welfare optimization problems for optimal power flow in multi-region electricity networks. The electricity network is decomposed into multiple regions which decide independently over the amount of power produced within the region and exchanged with neighboring regions. We decompose the overall power flow (or social welfare) optimization into region-based optimization problems (namely, power flow game), which is based on the introduction of dual variables representing nodal and link prices. Due to the interdependencies between regions’ utilities, the social welfare maximizer might not necessarily correspond to a Nash equilibrium of the power flow game. We derive conditions under which the social welfare maximizer is a Nash equilibrium of the game, and investigate uniqueness of Nash equilibria. Finally, we examine whether convergence to the social welfare maximizer may occur under natural best- response dynamics. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4075714
- author
- Chasparis, Georgios
LU
; Rantzer, Anders
LU
and Jörnsten, Kurt
- organization
- publishing date
- 2013
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- power, networks, optimization
- host publication
- [Host publication title missing]
- pages
- 7 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- European Control Conference, 2013
- conference location
- Zurich, Switzerland
- conference dates
- 2013-07-17 - 2013-07-19
- external identifiers
-
- wos:000332509703070
- scopus:84893334340
- project
- LCCC
- language
- English
- LU publication?
- yes
- id
- dd2ca6a5-7579-49b7-abfb-0fe3a1520d33 (old id 4075714)
- date added to LUP
- 2016-04-04 11:15:56
- date last changed
- 2023-10-18 13:08:38
@inproceedings{dd2ca6a5-7579-49b7-abfb-0fe3a1520d33,
abstract = {{We present a decomposition approach to a class of social welfare optimization problems for optimal power flow in multi-region electricity networks. The electricity network is decomposed into multiple regions which decide independently over the amount of power produced within the region and exchanged with neighboring regions. We decompose the overall power flow (or social welfare) optimization into region-based optimization problems (namely, power flow game), which is based on the introduction of dual variables representing nodal and link prices. Due to the interdependencies between regions’ utilities, the social welfare maximizer might not necessarily correspond to a Nash equilibrium of the power flow game. We derive conditions under which the social welfare maximizer is a Nash equilibrium of the game, and investigate uniqueness of Nash equilibria. Finally, we examine whether convergence to the social welfare maximizer may occur under natural best- response dynamics.}},
author = {{Chasparis, Georgios and Rantzer, Anders and Jörnsten, Kurt}},
booktitle = {{[Host publication title missing]}},
keywords = {{power; networks; optimization}},
language = {{eng}},
pages = {{3024--3030}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{A Decomposition Approach to Multi-Region Optimal Power Flow in Electricity Networks}},
year = {{2013}},
}