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A Stochastic Optimal Power Flow Problem With Stability Constraints - Part I: Approximating the Stability Boundary

Hamon, Camille; Perninge, Magnus LU and Söder, Lennart (2013) In IEEE Transactions on Power Systems 28(2). p.1839-1848
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 line flows have been used as security 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 smallsignal stability. This is done by approximating the voltage stability and small-signal stability constraint boundaries with second-order approximations in parameter space. Then we refine methods... (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 line flows have been used as security 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 smallsignal stability. This is done by approximating the voltage stability and small-signal stability constraint boundaries with second-order approximations in parameter space. Then we refine methods from mathematical finance to be able to estimate the probability of violating the constraints. In this first part of the paper, we derive second-order approximations of stability boundaries in parameter space. In the second part, the approximations will be used to solve a stochastic optimal power flow problem. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Power Systems
volume
28
issue
2
pages
1839 - 1848
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • WOS:000322139300129
  • Scopus:84886423924
ISSN
0885-8950
DOI
10.1109/TPWRS.2012.2226760
language
English
LU publication?
yes
id
c8e4ae32-c81b-44f9-81a5-914e82f9e757 (old id 4076465)
date added to LUP
2013-10-25 09:39:22
date last changed
2016-11-13 04:26:30
@misc{c8e4ae32-c81b-44f9-81a5-914e82f9e757,
  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 line flows have been used as security 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 smallsignal stability. This is done by approximating the voltage stability and small-signal stability constraint boundaries with second-order approximations in parameter space. Then we refine methods from mathematical finance to be able to estimate the probability of violating the constraints. In this first part of the paper, we derive second-order approximations of stability boundaries in parameter space. In the second part, the approximations will be used to solve a stochastic optimal power flow problem.},
  author       = {Hamon, Camille and Perninge, Magnus and Söder, Lennart},
  issn         = {0885-8950},
  language     = {eng},
  number       = {2},
  pages        = {1839--1848},
  publisher    = {ARRAY(0x86e45b0)},
  series       = {IEEE Transactions on Power Systems},
  title        = {A Stochastic Optimal Power Flow Problem With Stability Constraints - Part I: Approximating the Stability Boundary},
  url          = {http://dx.doi.org/10.1109/TPWRS.2012.2226760},
  volume       = {28},
  year         = {2013},
}