{"id":{"repo_id":"must-thes","oai_identifier":"oai:scholarsmine.mst.edu:doctoral_dissertations-2632"},"canonical_url":"https://search.dev.ndltd.org/etd/must-thes/oai:scholarsmine.mst.edu:doctoral_dissertations-2632","repository":{"repo_id":"must-thes","name":"Missouri University of Science and Technology","base_url":"https://scholarsmine.mst.edu/do/oai/"},"display":{"title":"Part I: Improved handling of geometry details in finite difference time domain method; Part II: Method of circuit extraction using finite difference frequency domain matrix formulation with application to power bus modeling","abstract":"\"In the first half of this work, a subgridding algorithm with separate spatial and temporal subgridding interfaces in proposed, which makes it possible to analyze and test the spatial and temporal algorithms separately and may also provide additional flexibility. The spatial subgridding method is based on the linear interpolation of the electric and magnetic current densities. The forward and backward coupling schemes are designed to be symmetric, which ensures the stability of the subgridding algorithm. The temporal subgridding method is based on a simple assumption that the field values at the temporal subgridding interface keep constant during one coarse time step. The stability of this scheme is illustrated by using a one-dimensional FDTD model. The full subgridding algorithm combining the two sub-algorithms is also implemented. The stability and accuracy of the subgridding method are tested numerically. The second part of the dissertation proposes a procedure to generate an equivalent circuit network from the Finite Difference Time Domain (FDTD) model. A matrix equation that has the same form of Kirchhoff Current Law (KCL) is derived from the formulation of the Finite Difference Frequency Domain (FDFD) method. Based on the matrix equation, an equivalent circuit can be generated, and the extracted circuit model can be simulated in a SPICE-like solver. Although the generated circuit model does not reduce the complexity of its 3-D full wave counterpart, it provides the possibility of an easy combination of the SPICE circuit and full wave models\"--Abstract, page iii.","abstract_html":""In the first half of this work, a subgridding algorithm with separate spatial and temporal subgridding interfaces in proposed, which makes it possible to analyze and test the spatial and temporal algorithms separately and may also provide additional flexibility. The spatial subgridding method is based on the linear interpolation of the electric and magnetic current densities. The forward and backward coupling schemes are designed to be symmetric, which ensures the stability of the subgridding algorithm. The temporal subgridding method is based on a simple assumption that the field values at the temporal subgridding interface keep constant during one coarse time step. The stability of this scheme is illustrated by using a one-dimensional FDTD model. The full subgridding algorithm combining the two sub-algorithms is also implemented. The stability and accuracy of the subgridding method are tested numerically. The second part of the dissertation proposes a procedure to generate an equivalent circuit network from the Finite Difference Time Domain (FDTD) model. A matrix equation that has the same form of Kirchhoff Current Law (KCL) is derived from the formulation of the Finite Difference Frequency Domain (FDFD) method. Based on the matrix equation, an equivalent circuit can be generated, and the extracted circuit model can be simulated in a SPICE-like solver. Although the generated circuit model does not reduce the complexity of its 3-D full wave counterpart, it provides the possibility of an easy combination of the SPICE circuit and full wave models"--Abstract, page iii.","abstract_has_math":false,"creators":["Xiao, Kai"],"institution":"University of Missouri--Rolla","degree_name":"Ph. D. in Electrical Engineering","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:19:54Z","subjects":["Computational electromagnetics","Finite Difference Time Domain (FDTD)","Subgridding","Electrical and Computer Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/1630","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Xiao, Kai"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Citation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D. in Electrical Engineering"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri--Rolla"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Computational electromagnetics","Finite Difference Time Domain (FDTD)","Subgridding","Electrical and Computer Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsmine.mst.edu/doctoral_dissertations/1630"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["\"In the first half of this work, a subgridding algorithm with separate spatial and temporal subgridding interfaces in proposed, which makes it possible to analyze and test the spatial and temporal algorithms separately and may also provide additional flexibility. The spatial subgridding method is based on the linear interpolation of the electric and magnetic current densities. The forward and backward coupling schemes are designed to be symmetric, which ensures the stability of the subgridding algorithm. The temporal subgridding method is based on a simple assumption that the field values at the temporal subgridding interface keep constant during one coarse time step. The stability of this scheme is illustrated by using a one-dimensional FDTD model. The full subgridding algorithm combining the two sub-algorithms is also implemented. The stability and accuracy of the subgridding method are tested numerically. The second part of the dissertation proposes a procedure to generate an equivalent circuit network from the Finite Difference Time Domain (FDTD) model. A matrix equation that has the same form of Kirchhoff Current Law (KCL) is derived from the formulation of the Finite Difference Frequency Domain (FDFD) method. Based on the matrix equation, an equivalent circuit can be generated, and the extracted circuit model can be simulated in a SPICE-like solver. Although the generated circuit model does not reduce the complexity of its 3-D full wave counterpart, it provides the possibility of an easy combination of the SPICE circuit and full wave models\"--Abstract, page iii."]},{"key":"dc:title","label":"Title","values":["Part I: Improved handling of geometry details in finite difference time domain method; Part II: Method of circuit extraction using finite difference frequency domain matrix formulation with application to power bus modeling"]}]}],"canonical_facts":{"dc:creator":["Xiao, Kai"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["\"In the first half of this work, a subgridding algorithm with separate spatial and temporal subgridding interfaces in proposed, which makes it possible to analyze and test the spatial and temporal algorithms separately and may also provide additional flexibility. The spatial subgridding method is based on the linear interpolation of the electric and magnetic current densities. The forward and backward coupling schemes are designed to be symmetric, which ensures the stability of the subgridding algorithm. The temporal subgridding method is based on a simple assumption that the field values at the temporal subgridding interface keep constant during one coarse time step. The stability of this scheme is illustrated by using a one-dimensional FDTD model. The full subgridding algorithm combining the two sub-algorithms is also implemented. The stability and accuracy of the subgridding method are tested numerically. The second part of the dissertation proposes a procedure to generate an equivalent circuit network from the Finite Difference Time Domain (FDTD) model. A matrix equation that has the same form of Kirchhoff Current Law (KCL) is derived from the formulation of the Finite Difference Frequency Domain (FDFD) method. Based on the matrix equation, an equivalent circuit can be generated, and the extracted circuit model can be simulated in a SPICE-like solver. Although the generated circuit model does not reduce the complexity of its 3-D full wave counterpart, it provides the possibility of an easy combination of the SPICE circuit and full wave models\"--Abstract, page iii."],"dc:identifier":["https://scholarsmine.mst.edu/doctoral_dissertations/1630"],"dc:subject":["Computational electromagnetics","Finite Difference Time Domain (FDTD)","Subgridding","Electrical and Computer Engineering"],"dc:title":["Part I: Improved handling of geometry details in finite difference time domain method; Part II: Method of circuit extraction using finite difference frequency domain matrix formulation with application to power bus modeling"],"dc:type":["Dissertation - Citation"],"thesis:degree_name":["Ph. D. in Electrical Engineering"],"thesis:institution_name":["University of Missouri--Rolla"]},"updated_at":"2026-07-24T03:19:54Z"}