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Risk estimation of the distance to voltage instability using a second order approximation of the saddle-node bifurcation surface
KTH, School of Electrical Engineering (EES), Electric Power Systems.
KTH, School of Electrical Engineering (EES), Electric Power Systems.ORCID iD: 0000-0002-8189-2420
2011 (English)In: Electric power systems research, ISSN 0378-7796, E-ISSN 1873-2046, Vol. 81, no 2, 625-635 p.Article in journal (Refereed) Published
Abstract [en]

Prevention of voltage instability in electric power systems is an important objective that the systemoperators have to meet. Under certain circumstances the operating point of the power system may startdrifting towards the set of voltage unstable operating points. If no preventive measures are taken, aftersome time, the operating point may eventually become voltage unstable. It will thus be preferable to havea measure of the risk of voltage collapse in future loading states. This paper presents a novel method forestimation of the probability distribution of the load-space distance to the point where voltage instabilityinduced by saddle-node bifurcation occurs. Another result of the method is an estimate of the probabilitydistribution of the time to voltage instability for a power system with uncertain future loading scenarios.The method uses a second order approximation of the saddle-node bifurcation surface. The proposedmethod can be used in power system security assessments.

Place, publisher, year, edition, pages
2011. Vol. 81, no 2, 625-635 p.
Keyword [en]
Voltage stability, Point of collapse, Saddle-node bifurcation, Stochastic load modeling, Switching loadability limit, Ornstein-Uhlenbeck process
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-41978DOI: 10.1016/j.epsr.2010.10.021ISI: 000286962700043Scopus ID: 2-s2.0-78650609682OAI: oai:DiVA.org:kth-41978DiVA: diva2:445731
Note
QC 20111007Available from: 2011-10-04 Created: 2011-10-04 Last updated: 2017-12-08Bibliographically approved
In thesis
1. A Stochastic Control Approach to Include Transfer Limits in Power System Operation
Open this publication in new window or tab >>A Stochastic Control Approach to Include Transfer Limits in Power System Operation
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The main function of the power grid is to transfer electric energy from generating facilities to consumers. To have a reliable and economical supply of electricity, large amounts of electric energy often have to be transferred over long distances.

The transmission system has a limited capacity to transfer electric power, called the transfer capacity. Severe system failures may follow if the transfer capacity is reached during operation.

Due to uncertainties, such as the random failure of system components, the transfer capacity for the near future is not readily determinable. Also, due to market principles, and reaction times and ramp rates of production facilities, power flow control is not fully flexible. Therefore, a transfer limit, which is below the transfer capacity, is decided and preventative actions are taken when the transfer reaches this limit.

In this thesis an approach to deciding an optimal strategy for power flow control through activation of regulating bids on the regulating power market is outlined. This approach leads to an optimal definition of transfer limits as the boundary between the domain where no bid should be activated and the domains where bids should be activated. The approach is based on weighing the expected cost from system failures against the production cost. This leads to a stochastic impulse control problem for a Markov process in continuous time.

The proposed method is a novel approach to decide transfer limits in power system operation. The method is tested in a case study on the IEEE 39 bus system, that shows promising results.

In addition to deciding optimal transfer limits, it is also investigated how the transfer capacity can be enhanced by controlling components in the power system to increase stability.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2011. xi, 67 p.
Series
Trita-EE, ISSN 1653-5146 ; 2011:070
Keyword
Frequency control, power regulating market, power system operation, power system security, stochastic impulse control, transfer capacity, transfer limit
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-41986 (URN)978-91-7501-132-5 (ISBN)
Public defence
2011-11-07, F3, Lindstedtsv 26, entréplan, KTH, S, 10:00 (English)
Opponent
Supervisors
Note
QC 20111010Available from: 2011-10-10 Created: 2011-10-04 Last updated: 2011-10-10Bibliographically approved

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Söder, Lennart

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