Higher order method of moments for current flow modelling of sector shaped conductors and scattering by dielectric cylinder

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dc.contributor.supervisor Okhmatovski, Vladimir (Electrical and Computer Engineering) en_US
dc.contributor.author Hosen, Mohammad Shakander
dc.date.accessioned 2018-04-03T19:11:58Z
dc.date.available 2018-04-03T19:11:58Z
dc.date.issued 2018
dc.date.submitted 2018-04-02T20:26:41Z en
dc.identifier.uri http://hdl.handle.net/1993/32926
dc.description.abstract Design of complex multi conductor transmission lines (MTLs) depends on the knowl- edge of per unit length (p.u.l.) inductance and resistance along with p.u.l. capacitance and conductance. In order to calculate with controlled precision p.u.l. inductance and resistance of complex MTLs of arbitrary cross-section higher order numerical methods are required. Such method based on Higher Order (HO) Method of Moment (MoM) solution of Surface Volume Surface Electric Field Integral Equation (SVS- EFIE) is proposed in this thesis. The cross-section of the MTLs is discretized with higher order quadrilateral elements to reduce the error associated with the geometry representation. The unknown currents are approximated by high order polynomial basis functions for accurate representation of their sophisticated behaviour according to the skin- and proximity-effects. Memory requirement for the proposed method is shown to be substantially smaller than that of the HO Finite Element Method (FEM) due to discretization of only the MTLs cross-section and not the surrounding volume. Analogous SVS-EFIE is shown in the thesis to be solved with HO-MoM to calculate the scattered field with high accuracy inside 2-D dielectric scatterers of arbitrary shape under TM-polarization.Various obstacles in achieving error controlled HO-MoM solution of SVS-EFIE are overcome in this thesis. In order to get error controlled solution of the sought fields, singularity extraction is performed on 1-D and 2-D HO elements when calculating the integrals related to HO-MoM discretization. As the HO FEM must truncate its mesh within a certain region around the object of interest in order to perform one-to-one comparison of the fields computed using the HO- MoM solution of the SVS-EFIE against HO-FEM the same region of interest must be considered. In this work a grounded cylindrical cavity of large radius surrounding MTLs is introduced for truncation of the FEM mesh. To enforce the same boundary condition in the HO-MoM solution the Green’s function of the cylindrical cavity is analytically derived and used in the SVS-EFIE formulation. en_US
dc.rights info:eu-repo/semantics/openAccess
dc.subject Higher order Method of Moments en_US
dc.subject Singularity extraction en_US
dc.subject Green function of cylindrical cavity en_US
dc.subject Electromagnetic scattering en_US
dc.title Higher order method of moments for current flow modelling of sector shaped conductors and scattering by dielectric cylinder en_US
dc.type info:eu-repo/semantics/masterThesis
dc.type master thesis en_US
dc.degree.discipline Electrical and Computer Engineering en_US
dc.contributor.examiningcommittee Kordi, Behzad (Electrical and Computer Engineering) Shafiepour, Mohammad (Manitoba HVDC Research Centre) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note May 2018 en_US

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