{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21572"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21572","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Rotating magnetohydrodynamic and trapped hot-ion induced internal kinks","abstract":"As a new and significant contribution to the tokamak literature, the linear internal MHD kink modes in finite aspect-ratio axisymmetric toroidally rotating tokamak equilibria and their kinetic modifications owing to the presence of hot ions are computationally studied herein using a bilinear form derived using a Lagrangian perturbation procedure. As a practical application, the rotating MHD and kinetic internal kinks are calculated in finite aspect-ratio TFTR- and ITER-like geometries. The MHD and kinetic modes of the rotating tokamak plasmas are found to be significantly destabilized by the centrifugal effects at rotation speeds in the range of $10\\sp4$-10$\\sp5$ rad/s at normal discharge densities. The kinetic instability model provides a unified description of several features of the 'fishbone'-like oscillations such as the slow mode rotating at the plasma rotation frequency, the fast mode with high rotation frequency, and variation of the slow as well as fast mode frequencies with plasma rotation. The slow kinetic modes rotate close to mean plasma rotation speeds, and the fast kinetic modes rotate at about 10$\\sp5$ rad/s. The fast mode rotation frequencies are in the range of the magnetic-precession frequencies of the deeply trapped ions. Also, the kinetic kink modes are found to be excitable in ITER-like ignited tokamak configurations owing to hot fusion products such as alphas.","abstract_html":"As a new and significant contribution to the tokamak literature, the linear internal MHD kink modes in finite aspect-ratio axisymmetric toroidally rotating tokamak equilibria and their kinetic modifications owing to the presence of hot ions are computationally studied herein using a bilinear form derived using a Lagrangian perturbation procedure. As a practical application, the rotating MHD and kinetic internal kinks are calculated in finite aspect-ratio TFTR- and ITER-like geometries. The MHD and kinetic modes of the rotating tokamak plasmas are found to be significantly destabilized by the centrifugal effects at rotation speeds in the range of $10\\sp4$-10$\\sp5$ rad/s at normal discharge densities. The kinetic instability model provides a unified description of several features of the 'fishbone'-like oscillations such as the slow mode rotating at the plasma rotation frequency, the fast mode with high rotation frequency, and variation of the slow as well as fast mode frequencies with plasma rotation. The slow kinetic modes rotate close to mean plasma rotation speeds, and the fast kinetic modes rotate at about 10$\\sp5$ rad/s. The fast mode rotation frequencies are in the range of the magnetic-precession frequencies of the deeply trapped ions. Also, the kinetic kink modes are found to be excitable in ITER-like ignited tokamak configurations owing to hot fusion products such as alphas.","abstract_has_math":true,"creators":["Varadarajan, V."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Nuclear Engineering","degree_department":null,"school":null,"contributors":["Miley, George H."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:12:37Z","date_published":"2011-05-07T13:12:37Z","updated_at":"2026-07-22T22:25:18Z","subjects":["Engineering, Nuclear","Physics, Fluid and Plasma"],"languages":["eng"],"rights":["Copyright 1993 Varadarajan, V."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9411809","(UMI)AAI9411809"],"render_values":[{"text":"AAI9411809","href":null,"code":true},{"text":"(UMI)AAI9411809","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21572","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Miley, George H."]},{"key":"dc:creator","label":"Author","values":["Varadarajan, V."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:12:37Z","10000-01-01","1993"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Nuclear Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Nuclear","Physics, Fluid and Plasma"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1993 Varadarajan, V."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9411809","(UMI)AAI9411809","http://hdl.handle.net/2142/21572"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["As a new and significant contribution to the tokamak literature, the linear internal MHD kink modes in finite aspect-ratio axisymmetric toroidally rotating tokamak equilibria and their kinetic modifications owing to the presence of hot ions are computationally studied herein using a bilinear form derived using a Lagrangian perturbation procedure. As a practical application, the rotating MHD and kinetic internal kinks are calculated in finite aspect-ratio TFTR- and ITER-like geometries. The MHD and kinetic modes of the rotating tokamak plasmas are found to be significantly destabilized by the centrifugal effects at rotation speeds in the range of $10\\sp4$-10$\\sp5$ rad/s at normal discharge densities. The kinetic instability model provides a unified description of several features of the 'fishbone'-like oscillations such as the slow mode rotating at the plasma rotation frequency, the fast mode with high rotation frequency, and variation of the slow as well as fast mode frequencies with plasma rotation. The slow kinetic modes rotate close to mean plasma rotation speeds, and the fast kinetic modes rotate at about 10$\\sp5$ rad/s. The fast mode rotation frequencies are in the range of the magnetic-precession frequencies of the deeply trapped ions. Also, the kinetic kink modes are found to be excitable in ITER-like ignited tokamak configurations owing to hot fusion products such as alphas.","Also, a feasibility study of adaptive distributed parameter control of thermokinetics is demonstrated. Fast transport simulation and control are explored using a nonlinear Galerkin procedure, and a MIMO self-tuning control algorithm. It is found that only the density control can achieve reasonable power set-point follow-up, and that more popular control schemes such as auxiliary power control are not adequate to provide real-world power swings greater than 50-100 MW around the set point.","The several computational modules developed for this thesis are as follows. The equilibrium calculations are implemented in a code called FLOE (FLOw Equilibrium). The instability models are implemented in a code called PINK (Plasma INternal Kinks). The control algorithms and simulations are implemented in a code called ACT (Adaptive Control of Thermokinetics).","Made available in DSpace on 2011-05-07T13:12:37Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9411809.pdf: 9399370 bytes, checksum: b299b19e70c009400e111bcac53c4b39 (MD5) Previous issue date: 1993","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:51:41Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:23:45-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Rotating magnetohydrodynamic and trapped hot-ion induced internal kinks"]}]}],"canonical_facts":{"dc:contributor":["Miley, George H."],"dc:creator":["Varadarajan, V."],"dc:date":["2011-05-07T13:12:37Z","10000-01-01","1993"],"dc:description":["As a new and significant contribution to the tokamak literature, the linear internal MHD kink modes in finite aspect-ratio axisymmetric toroidally rotating tokamak equilibria and their kinetic modifications owing to the presence of hot ions are computationally studied herein using a bilinear form derived using a Lagrangian perturbation procedure. As a practical application, the rotating MHD and kinetic internal kinks are calculated in finite aspect-ratio TFTR- and ITER-like geometries. The MHD and kinetic modes of the rotating tokamak plasmas are found to be significantly destabilized by the centrifugal effects at rotation speeds in the range of $10\\sp4$-10$\\sp5$ rad/s at normal discharge densities. The kinetic instability model provides a unified description of several features of the 'fishbone'-like oscillations such as the slow mode rotating at the plasma rotation frequency, the fast mode with high rotation frequency, and variation of the slow as well as fast mode frequencies with plasma rotation. The slow kinetic modes rotate close to mean plasma rotation speeds, and the fast kinetic modes rotate at about 10$\\sp5$ rad/s. The fast mode rotation frequencies are in the range of the magnetic-precession frequencies of the deeply trapped ions. Also, the kinetic kink modes are found to be excitable in ITER-like ignited tokamak configurations owing to hot fusion products such as alphas.","Also, a feasibility study of adaptive distributed parameter control of thermokinetics is demonstrated. Fast transport simulation and control are explored using a nonlinear Galerkin procedure, and a MIMO self-tuning control algorithm. It is found that only the density control can achieve reasonable power set-point follow-up, and that more popular control schemes such as auxiliary power control are not adequate to provide real-world power swings greater than 50-100 MW around the set point.","The several computational modules developed for this thesis are as follows. The equilibrium calculations are implemented in a code called FLOE (FLOw Equilibrium). The instability models are implemented in a code called PINK (Plasma INternal Kinks). The control algorithms and simulations are implemented in a code called ACT (Adaptive Control of Thermokinetics).","Made available in DSpace on 2011-05-07T13:12:37Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9411809.pdf: 9399370 bytes, checksum: b299b19e70c009400e111bcac53c4b39 (MD5) Previous issue date: 1993","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:51:41Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:23:45-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9411809","(UMI)AAI9411809","http://hdl.handle.net/2142/21572"],"dc:language":["eng"],"dc:rights":["Copyright 1993 Varadarajan, V."],"dc:subject":["Engineering, Nuclear","Physics, Fluid and Plasma"],"dc:title":["Rotating magnetohydrodynamic and trapped hot-ion induced internal kinks"],"dc:type":["text"],"thesis:degree_discipline":["Nuclear Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:18Z"}