Fast calculation of Thévenin equivalents for real-time steady state voltage stability estimation

dc.contributor.advisor Venkataramana Ajjarapu Vélez Vásquez, Jorge Alberto
dc.contributor.department Electrical and Computer Engineering 2018-08-11T07:23:39.000 2020-06-30T03:02:17Z 2020-06-30T03:02:17Z Fri Jan 01 00:00:00 UTC 2016 2001-01-01 2016-01-01
dc.description.abstract <p>The purpose of this work is to present a novel approach to quickly update Thévenin equivalents of multi nodal systems, which can be used to calculate long-term Voltage Stability Margins (VSMs) in real-time applications considering n-k contingencies in the grid. To accomplish this, a derivation of Thévenin equivalent parameters of a multi-port system is proposed, which are expressed in terms of the parameters of the Zbus of the network. Then, by using the matrix inversion lemma and Kron reductions, a new methodology to quickly update the Zbus of the system when n-k contingencies occur is explained. The speed of this approach is due to the avoidance of inversion of matrices required when Thévenin equivalents are calculated using information of the Ybus. Instead of this, only matrix multiplications between Zbus and other vectors are needed to obtain the parameters of Thévenin equivalents. This approach proposes a solution for some of the current issues associated with the implementation of long-term VSMs in real-time systems.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 6223
dc.identifier.contextkey 8943345
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath etd/15216
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 20:37:42 UTC 2022
dc.subject.disciplines Electrical and Electronics
dc.subject.keywords Electrical Engineering
dc.subject.keywords Kron reduction
dc.subject.keywords Matrix inversion lemma
dc.subject.keywords Real-time system
dc.subject.keywords Thevenin equivalent
dc.subject.keywords Voltage stability
dc.title Fast calculation of Thévenin equivalents for real-time steady state voltage stability estimation
dc.type article
dc.type.genre thesis
dspace.entity.type Publication
relation.isOrgUnitOfPublication a75a044c-d11e-44cd-af4f-dab1d83339ff Electrical Engineering thesis Master of Science
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