Risk estimation of the distance to voltage instability using a second order approximation of the saddle-node bifurcation surface
2011 (English)In: Electric power systems research, ISSN 0378-7796, Vol. 81, no 2, 625-635 p.Article in journal (Refereed) Published
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.
Voltage stability, Point of collapse, Saddle-node bifurcation, Stochastic load modeling, Switching loadability limit, Ornstein-Uhlenbeck process
Other Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-41978DOI: 10.1016/j.epsr.2010.10.021ISI: 000286962700043ScopusID: 2-s2.0-78650609682OAI: oai:DiVA.org:kth-41978DiVA: diva2:445731
QC 201110072011-10-042011-10-042011-12-21Bibliographically approved