A Stochastic Optimal Power Flow Problem With Stability Constraints - Part II: The Optimization Problem
(2013) In IEEE Transactions on Power Systems 28(2). p.1849-1857- Abstract
- Stochastic optimal power flow can provide the system operator with adequate strategies for controlling the power flow to maintain secure operation under stochastic parameter variations. One limitation of stochastic optimal power flow has been that only limits on lineflows have been used as stability constraints. In many systems voltage stability and small-signal stability also play an important role in constraining the operation. In this paper we aim to extend the stochastic optimal power flow problem to include constraints for voltage stability as well as small-signal stability. This is done by approximating the voltage stability and small-signal stability constraint surfaces with secondorder approximations in parameter space. Then we refine... (More)
- Stochastic optimal power flow can provide the system operator with adequate strategies for controlling the power flow to maintain secure operation under stochastic parameter variations. One limitation of stochastic optimal power flow has been that only limits on lineflows have been used as stability constraints. In many systems voltage stability and small-signal stability also play an important role in constraining the operation. In this paper we aim to extend the stochastic optimal power flow problem to include constraints for voltage stability as well as small-signal stability. This is done by approximating the voltage stability and small-signal stability constraint surfaces with secondorder approximations in parameter space. Then we refine methods from mathematical finance to be able to estimate the probability of violating the constraints. In this, the second part of the paper, we look at how CornishFisher expansion combined with a method of excluding sets that are counted twice, can be used to estimate the probability of violating the stability constraints. We then show in a numerical example how this leads to an efficient solution method for the stochastic optimal power flow problem. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4076468
- author
- Perninge, Magnus LU and Hamon, Camille
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Transactions on Power Systems
- volume
- 28
- issue
- 2
- pages
- 1849 - 1857
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000322139300130
- scopus:84886388808
- ISSN
- 0885-8950
- DOI
- 10.1109/TPWRS.2012.2226761
- language
- English
- LU publication?
- yes
- id
- df69c756-82bb-45df-983c-64b3ed8bfc75 (old id 4076468)
- date added to LUP
- 2016-04-04 09:18:53
- date last changed
- 2022-01-29 17:16:57
@article{df69c756-82bb-45df-983c-64b3ed8bfc75,
abstract = {{Stochastic optimal power flow can provide the system operator with adequate strategies for controlling the power flow to maintain secure operation under stochastic parameter variations. One limitation of stochastic optimal power flow has been that only limits on lineflows have been used as stability constraints. In many systems voltage stability and small-signal stability also play an important role in constraining the operation. In this paper we aim to extend the stochastic optimal power flow problem to include constraints for voltage stability as well as small-signal stability. This is done by approximating the voltage stability and small-signal stability constraint surfaces with secondorder approximations in parameter space. Then we refine methods from mathematical finance to be able to estimate the probability of violating the constraints. In this, the second part of the paper, we look at how CornishFisher expansion combined with a method of excluding sets that are counted twice, can be used to estimate the probability of violating the stability constraints. We then show in a numerical example how this leads to an efficient solution method for the stochastic optimal power flow problem.}},
author = {{Perninge, Magnus and Hamon, Camille}},
issn = {{0885-8950}},
language = {{eng}},
number = {{2}},
pages = {{1849--1857}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Power Systems}},
title = {{A Stochastic Optimal Power Flow Problem With Stability Constraints - Part II: The Optimization Problem}},
url = {{https://lup.lub.lu.se/search/files/5290873/4091996.pdf}},
doi = {{10.1109/TPWRS.2012.2226761}},
volume = {{28}},
year = {{2013}},
}