Application of translational addition theorems to the study of the magnetization of systems of ferromagnetic spheres

Simple item page
dc.contributor.authorAnthonys, Gehan
dc.contributor.examiningcommitteeSwatek, David (Electrical and Computer Engineering) Jeffrey, Ian (Electrical and Computer Engineering) Quan, Wujun (Manitoba HVDC Research Centre)en_US
dc.contributor.supervisorCiric, Ioan (Electrical and Computer Engineering)en_US
dc.date.accessioned2014-08-26T22:18:15Z
dc.date.available2014-08-26T22:18:15Z
dc.date.issued2014-08-26
dc.degree.disciplineElectrical and Computer Engineeringen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractThe 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.description.noteOctober 2014en_US
dc.identifier.urihttp://hdl.handle.net/1993/23893
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectMagnetizationen_US
dc.subjectferromagnetic spheresen_US
dc.subjecttranslational addition theoremsen_US
dc.subjectLaplace equationen_US
dc.subjectscalar magnetic potentialen_US
dc.subjectbenchmark solutionsen_US
dc.titleApplication of translational addition theorems to the study of the magnetization of systems of ferromagnetic spheresen_US
dc.typemaster thesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Anthonys_Gehan.pdf
Size:
4 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
2.25 KB
Format:
Item-specific license agreed to upon submission
Description:
Download
Collections
FGS - Electronic Theses and Practica