{"id":6130,"date":"2026-05-10T06:14:35","date_gmt":"2026-05-09T22:14:35","guid":{"rendered":"\/jase\/?post_type=tkuisotope&#038;p=6130"},"modified":"2026-07-01T23:23:21","modified_gmt":"2026-07-01T15:23:21","slug":"assessment-of-the-electric-grid-interdiction-problem-considering-different-network-models","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=assessment-of-the-electric-grid-interdiction-problem-considering-different-network-models","title":{"rendered":"Assessment of the electric grid interdiction problem considering different network models"},"content":{"rendered":"\n<div class=\"wp-block-tkuwpbs5-bs5-row row article-info\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=6099\" data-type=\"page\" data-id=\"807\">2020<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder-open\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=6128\" data-type=\"page\" data-id=\"4630\">Volume 23, Issue 2<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-6 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div dv_publish\" data-aos=\"normal\"><div class=\"wp-block-post-date\"><time datetime=\"2026-05-10T06:14:35+08:00\">2026-05-10<\/time><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-row row\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-5 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div au-ol\" data-aos=\"normal\">\n<p>Jes\u00fas Mar\u00eda L\u00f3pez-Lezama<sup>1<\/sup><a href=\"mailto:jmaria.lopez@udea.edu.co\"><i class=\"fa fa-envelope\"><\/i><\/a>, Juan Carlos Castro Galeano<sup>2<\/sup>, and Edwin Rivas Trujillo<sup>3<\/sup><\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>1<\/sup>Grupo de Investigaci\u00f3n en Manejo Eficiente de la Energ\u00eda (GIMEL), Departamento de Ingenier\u00eda El\u00e9ctrica, Facultad de Ingenier\u00eda, Universidad de Antioquia, Calle 67 No 53-108, Medell\u00edn, Colombia <\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>2<\/sup>Grupo de Investigaci\u00f3n y Desarrollo en Sistemas Electromec\u00e1nicos (GridsE), Ingenier\u00eda Electromec\u00e1nica, Universidad Pedag\u00f3gica y Tecnol\u00f3gica de Colombia (UPTC), Carrera 18 con Calle 22, Facultad Seccional Duitama, Colombia <\/p>\n\n\n\n<p style=\"font-size:14px\"><sup>3<\/sup>Grupo de Investigaci\u00f3n Interferencia Electromagn\u00e9tica (GCEM), Ingenier\u00eda El\u00e9ctrica, Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Cra 7 No 40B-53, Bogot\u00e1, Colombia<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div\" style=\"margin-top:var(--wp--preset--spacing--40)\" data-aos=\"normal\">\n<p>Received:\u00a0May 29, 2019<br>Accepted:\u00a0February 11, 2020<br>Publication Date:\u00a0May 10, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start clk=\u5716\u7247\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/05\/23_2_1.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center img_caption\">Illustration of attack plan for M=4.<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-small-font-size\"><i class=\"fab fa-creative-commons\"><\/i>&nbsp;<strong>Copyright&nbsp;<\/strong>The Author(s). This is an open access article distributed under the terms of the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\">Creative Commons Attribution&nbsp;License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n<p>Download Citation:&nbsp; <a href=\"\/jase\/wp-content\/uploads\/2026\/05\/V232.0001.bib\" data-type=\"attachment\" data-id=\"6287\" target=\"_blank\" rel=\"noreferrer noopener\">BibTeX <\/a>| <a rel=\"noreferrer noopener\" href=\"http:\/\/dx.doi.org\/10.6180\/jase.202006_23(2).0001\" target=\"_blank\">http:\/\/dx.doi.org\/10.6180\/jase.202006_23(2).0001<\/a>&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/05\/01-2019-0192_V23i2.pdf\" data-type=\"attachment\" data-id=\"6288\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/p>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>The vulnerability assessment of power systems consists on finding the set of most critical assets in order to device strategies to make the system more resilient. The electric grid interdiction problem (EGIP), also known as the terrorist threat problem, addresses this issue by modeling the interaction of a disruptive agent and the system operator. The EGIP is usually modeled as a bilevel programming problem. The disruptive agent is placed in the upper-level optimization problem and aims at maximizing the system damage subject to limited destructive resources. The system operator is placed in the lower-level optimization problem and reacts to the attacks minimizing load shedding by redispatching available generation resources. Traditional approaches to the EGIP consider a simplified version of the network by means of a DC model. This allows some advantages from the standpoint of complexity; nevertheless, the effect of reactive power and voltage magnitudes are neglected in this model. An AC modeling of the network is more accurate but implies higher complexity. This paper presents a comparison of these models applied to the EGIP through an Iterated Local Search metaheuristic. Several tests were performed on a benchmark power system to contrast the performance of both models. Results show that using a DC model provides faster results but also reports conservative solutions that do not fully take into account the actual damage inflicted in the network. This might lead the system operator to underestimate the real vulnerably of the system and not carry out effective corrective or protective actions.<\/p>\n\n\n\n<p><em>Keywords:\u00a0Vulnerability; interdiction problem; bilevel programming; iterated local search<\/em><\/p>\n\n\n\n<div style=\"height:2rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div ref_ol\" data-aos=\"normal\">\n<ol>\n<li>[1] Pablo H. Corredor and Maria E. Ruiz. Againstallodds. IEEE Power and Energy Magazine, 9(2):59\u201366, 2011.<\/li>\n<li>[2] Javier Salmeron, Kevin Wood, and Ross Baldick.\u00a0 Analysis of electric grid security under terrorist threat. IEEE Transactions on power systems, 19(2):905\u2013912, 2004.<\/li>\n<li>[3] Jos\u00e9 M. Arroyo and Francisco D. Galiana. On the solution of the bilevel programming formulation of the terrorist threat problem. IEEE Transactions on Power Systems, 20(2):789\u2013797, 2005.<\/li>\n<li>[4] Alexis L. Motto, Jos\u00e9 M. Arroyo, and Francisco D. Galiana. Amixed-integerLPprocedurefortheanalysis ofelectricgridsecurityunderdisruptivethreat. IEEE Transactions on Power Systems, 20(3):1357\u20131365, 2005.<\/li>\n<li>[5] Javier Salmeron, Kevin Wood, and Ross Baldick. Worstcaseinterdictionanalysisoflarge-scaleelectricpower grids. IEEE Transactions on power systems, 24(1):96\u2013104, 2009.<\/li>\n<li>[6] Andr\u00e9s Delgadillo, Jos\u00e9 Manuel Arroyo, and Natalia Alguacil. Analysis of electric grid interdiction with line switching. IEEE Transactions on Power Systems, 25(2):633641, 2009.<\/li>\n<li>[7] Jos\u00e9 Manuel Arroyo. Bilevelprogrammingapplied topowersystemvulnerabilityanalysisundermultiple contingencies. IET generation, transmission &amp; distribution, 4(2):178\u2013190, 2010.<\/li>\n<li>[8] Yezhou Wang and Ross Baldick. Interdictionanalysisofelectricgridscombiningcascadingoutageand medium-termimpacts. IEEE Transactions on Power Systems, 29(5):2160\u20132168, 2014.<\/li>\n<li>[9] Hadi Nemati, Mohammad Amin Latify, and Gholam Reza Yousefi. Tri-level transmission-expansion planning under intentional attacks: virtual attacker approach<span class=\"citation-487 citation-end-487\">\u2013part I: formulation. IET Generation, Transmission &amp; Distribution, 13(3):390\u2013398, 2018.<\/span><\/li>\n<li><span class=\"citation-486\">[10] Natalia Romero, Ningxiong <\/span><span class=\"citation-485 citation-486 citation-end-486\">Xu, Linda K. Nozick, Ian Dobson, and Dean Jones. Investment planning for electric power systems under terror<\/span><span class=\"citation-485 citation-end-485\">ist threat. IEEE Transactions on Power Systems, 27(1):108\u2013116, 2011.<\/span><\/li>\n<li><span class=\"citation-484\">[11] Xuan Wu and Antonio J. Conejo. An efficient <\/span><span class=\"citation-483 citation-484 citation-end-484\">tri-level optimization model for electric grid defense planning. IEEE Transactions o<\/span><span class=\"citation-483 citation-end-483\">n Power Systems, 32(4):2984\u20132994, 2016.<\/span><\/li>\n<li><span class=\"citation-482\">[12] Jes\u00fas M. L\u00f3pez-Lezama, Juan Cortina-G\u00f3mez, and Nicol\u00e1s Mu\u00f1oz-Galeano. Assessment <\/span><span class=\"citation-479 citation-480 citation-481 citation-482 citation-end-482\">of the electric grid interdiction problem using a nonlinear modeling approach. Electric Power Systems <\/span><span class=\"citation-479 citation-480 citation-481 citation-end-481\">Research, 144:243\u2013254, 2017.<\/span><\/li>\n<li><span class=\"citation-476 citation-477 citation-478 citation-end-478\">[13] Laura Agudelo, Jes\u00fas M. L\u00f3pez-Lezama, and Nicol\u00e1s Mu\u00f1oz. An\u00e1lisis de vulnerabilidad de sistemas de potencia median<\/span><span class=\"citation-476 citation-477 citation-end-477\">te programaci\u00f3n binivel. Informaci\u00f3n tecnol\u00f3gica, 25(3):103\u2013114<\/span><span class=\"citation-476 citation-end-476\">, 2014.<\/span><\/li>\n<li><span class=\"citation-475 citation-end-475\">[14] Ray Daniel Zimmerman, Carlos Edmundo Mur<\/span>illo-S\u00e1nchez, and Robert John Thomas. MATPOWER: Steady-state operations, planning, <span class=\"citation-473 citation-474 citation-end-474\">and analysis tools for power systems research and education. IEEE Transactions on power systems, 26(1):12\u201319, 2010.<\/span><\/li>\n<li><span class=\"citation-471 citation-472 citation-end-472\">[15] Cliff Grigg, Peter Wong, Paul Albrecht, Ron Allan, Murty Bhavaraju, Roy Billinton, Quan Chen, Clement Fong, Suheil Haddad, and Sastry Kuruganty. The IEEE reli<\/span><span class=\"citation-471 citation-end-471\">ability test system-1996. A report prepared by the reliability test system task force of th<\/span>e application of probability methods subcommittee. IEEE Transactions on power systems, 14(3):1010\u20131020, 1999.<\/li>\n<\/ol>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[1200,6,1202],"tags":[1221],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":"&nbsp;Copyright&nbsp;The Author(s). This is an open access article distributed under the terms of the&nbsp;Creative Commons Attribution&nbsp;License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:&nbsp; BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202006_23(2).0001&nbsp;&nbsp; Download PDF The vulnerability assessment of power systems consists on finding the set&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/6130"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6130"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6130"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}