Power flow optimization using positive quadratic programming
(2011) 18th IFAC World Congress, 2011- Abstract
- The problem to minimize power losses in an electrical network subject to voltage and power constraints is in general hard to solve. However, it has recently been discovered that semidefinite programming relaxations in many cases enable exact computation of the global optimum. Here we point out a fundamental reason for the successful relaxations, namely that the passive network components give rise to matrices with nonnegative off-diagonal entries. Recent progress on quadratic programming with Metzler matrix structure can therefore be applied.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2203379
- author
- Lavaei, Javad ; Rantzer, Anders LU and Low, Steven
- organization
- publishing date
- 2011
- type
- Contribution to conference
- publication status
- published
- subject
- conference name
- 18th IFAC World Congress, 2011
- conference location
- Milan, Italy
- conference dates
- 2011-08-28 - 2011-09-02
- external identifiers
-
- scopus:84866773283
- project
- LCCC
- language
- English
- LU publication?
- yes
- additional info
- key=lavei+11 project=LCCC-power,SSF-ICTpsi
- id
- 2cbaf9ef-a4ca-4d9c-8693-aba531a244e5 (old id 2203379)
- date added to LUP
- 2016-04-04 13:14:54
- date last changed
- 2024-02-12 06:36:39
@misc{2cbaf9ef-a4ca-4d9c-8693-aba531a244e5, abstract = {{The problem to minimize power losses in an electrical network subject to voltage and power constraints is in general hard to solve. However, it has recently been discovered that semidefinite programming relaxations in many cases enable exact computation of the global optimum. Here we point out a fundamental reason for the successful relaxations, namely that the passive network components give rise to matrices with nonnegative off-diagonal entries. Recent progress on quadratic programming with Metzler matrix structure can therefore be applied.}}, author = {{Lavaei, Javad and Rantzer, Anders and Low, Steven}}, language = {{eng}}, title = {{Power flow optimization using positive quadratic programming}}, url = {{https://lup.lub.lu.se/search/files/6077659/8084454.pdf}}, year = {{2011}}, }