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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 In [Host publication title missing] 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)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
power, networks, optimization
in
[Host publication title missing]
pages
7 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
European Control Conference, 2013
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
2013-10-07 10:05:53
date last changed
2016-10-13 04:44:49
@misc{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},
  keyword      = {power,networks,optimization},
  language     = {eng},
  pages        = {3024--3030},
  publisher    = {ARRAY(0xac0d858)},
  series       = {[Host publication title missing]},
  title        = {A Decomposition Approach to Multi-Region Optimal Power Flow in Electricity Networks},
  year         = {2013},
}