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dc.contributor.supervisor Ciric, Ioan (Electrical and Computer Engineering) en_US
dc.contributor.author Anthonys, Gehan
dc.date.accessioned 2014-08-26T22:18:15Z
dc.date.available 2014-08-26T22:18:15Z
dc.date.issued 2014-08-26
dc.identifier.uri http://hdl.handle.net/1993/23893
dc.description.abstract The main objective of this research is the study of the magnetization of ferromagnetic spheres in the presence of external magnetic fields. The exact analytical solutions derived in this thesis are benchmark solutions, valuable in testing the correctness and accuracy of various approximate models and numerical methods. The total scalar magnetic potential outside the spheres, related to the magnetic field intensity, is obtained by the superposition of the potentials due to all spheres and the potential corresponding to the external field. The translational addition theorems for scalar Laplacian functions are used to solve boundary value by imposing exact boundary conditions. The scalar magnetic potential inside each sphere, related to the magnetic flux density, also satisfies the Laplace equation, which is solved by imposing the boundary conditions known from the solution of the outside field. Finally, the expressions derived are used to generate numerical results of controllable accuracy for field quantities. en_US
dc.rights info:eu-repo/semantics/openAccess
dc.subject Magnetization en_US
dc.subject ferromagnetic spheres en_US
dc.subject translational addition theorems en_US
dc.subject Laplace equation en_US
dc.subject scalar magnetic potential en_US
dc.subject benchmark solutions en_US
dc.title Application of translational addition theorems to the study of the magnetization of systems of ferromagnetic spheres 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 Swatek, David (Electrical and Computer Engineering) Jeffrey, Ian (Electrical and Computer Engineering) Quan, Wujun (Manitoba HVDC Research Centre) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note October 2014 en_US


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