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Munther A. Dahleh. Faghih, Ali Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science 2015-11-09T19:51:10Z 2015-11-09T19:51:10Z 2015 2015 http://hdl.handle.net/1721.1/99823 927321872 Thesis: Ph. D., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2015. Cataloged from PDF version of thesis. Includes bibliographical references (pages 126-132). The primary goal of this thesis is to study transmission line reactance tweaking, as a mechanism for both post-disturbance control and pre-disturbance resilience enhancement in a transmission network, and develop an optimization framework for evaluating the efficacy of this mechanism in both scenarios. We start by developing a mixed-integer linear programming (MILP) formulation for tracking the redistribution of direct current (DC) flows and the graph-theoretic evolution of network topology over the course of cascading failures. Next, we propose a min-max setup for studying the impact of post-disturbance reactance tweaking on the resilience of the system to a worst-case N-k disturbance and devise a MILP reformulation scheme for the underlying bilevel nonconvex mixed-integer nonlinear program (MINLP) to facilitate the computation of its optimal solution. We then develop a MILP framework for computing the exact value of a tight upper bound on the efficacy of post-disturbance reactance tweaking among the set of all possible Nk disturbances for a given k and a given bus load scenario. Our numerical case study suggests that post-disturbance reactance tweaking, even on only a small number of lines, can considerably reduce the amount of load shed in some scenarios in the tested system. As for pre-disturbance resilience enhancement, we develop a MILP reformulation for approximating the bilevel MINLP that seeks to assess the efficacy of pre-disturbance reactance tweaking in reducing the number of lines that will fail over the propagation of cascading failures in the event of a worst-case-scenario N-k disturbance. We also give a MILP framework for computing an approximate upper bound on the efficacy of this mechanism among the set of all N-k contingencies for a given k. Our numerical case study suggests that pre-disturbance reactance tweaking on a few transmission lines can, in some cases, prevent the failure of multiple transmission lines over the course of cascading failures in the tested system. by Ali Faghih. Ph.D. 132 pages eng Massachusetts Institute of Technology M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 Electrical Engineering and Computer Science. On control and optimization of cascading phenomena in a class of dynamic networks Thesis application/pdf Publication unknown unknown <Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="2cf96c75-947d-4649-aa8e-dabc72387d95"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>On control and optimization of cascading phenomena in a class of dynamic networks</Title> <PublishedIn> <Publication> </Publication> </PublishedIn> <PublicationDate>2015</PublicationDate> <Authors> <Author> <DisplayName>Faghih, Ali</DisplayName> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Massachusetts Institute of Technology</DisplayName> <OrgUnit /> </Publisher> </Publishers> <License>http://dspace.mit.edu/handle/1721.1/7582</License> <Keyword>Electrical Engineering and Computer Science.</Keyword> <Abstract>The primary goal of this thesis is to study transmission line reactance tweaking, as a mechanism for both post-disturbance control and pre-disturbance resilience enhancement in a transmission network, and develop an optimization framework for evaluating the efficacy of this mechanism in both scenarios. We start by developing a mixed-integer linear programming (MILP) formulation for tracking the redistribution of direct current (DC) flows and the graph-theoretic evolution of network topology over the course of cascading failures. Next, we propose a min-max setup for studying the impact of post-disturbance reactance tweaking on the resilience of the system to a worst-case N-k disturbance and devise a MILP reformulation scheme for the underlying bilevel nonconvex mixed-integer nonlinear program (MINLP) to facilitate the computation of its optimal solution. We then develop a MILP framework for computing the exact value of a tight upper bound on the efficacy of post-disturbance reactance tweaking among the set of all possible Nk disturbances for a given k and a given bus load scenario. Our numerical case study suggests that post-disturbance reactance tweaking, even on only a small number of lines, can considerably reduce the amount of load shed in some scenarios in the tested system. As for pre-disturbance resilience enhancement, we develop a MILP reformulation for approximating the bilevel MINLP that seeks to assess the efficacy of pre-disturbance reactance tweaking in reducing the number of lines that will fail over the propagation of cascading failures in the event of a worst-case-scenario N-k disturbance. We also give a MILP framework for computing an approximate upper bound on the efficacy of this mechanism among the set of all N-k contingencies for a given k. Our numerical case study suggests that pre-disturbance reactance tweaking on a few transmission lines can, in some cases, prevent the failure of multiple transmission lines over the course of cascading failures in the tested system.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication>