Course Content
Introduction to electromagnetic fields: review of vector analysis, electric and magnetic potentials, boundary conditions, Maxwell`s equations, diffusion equation, Poynting vector, wave equation Finite Difference Method (FDM): Finite Difference schemes, treatment of irregular boundaries, accuracy and stability of FD solutions, Finite-Difference Time-Domain (FDTD) method Finite Element Method (FEM): overview of FEM, Variational and Galerkin Methods, shape functions, lower and higher order elements, vector elements, 2D and 3D finite elements, efficient finite element computations Method of Moments (MOM): integral formulation, Green`s functions and numerical integration, other integral methods: boundary element method, charge simulation method Special topics: hybrid methods, coupled circuit - field computations, electromagnetic - thermal and electromagnetic - structural coupled computations, solution of equations Applications: low frequency and high frequency electrical devices, static / time-harmonic / transient problems in transformers, rotating machines, waveguides, antennas, scatterers
Text / References
- 1 M. V. K. Chari and S. J. Salon, Numerical methods inelectromagnetism, Academic Press, 2000.
- 2 M. N. O. Sadiku, Numerical techniques in electromagnetics, CRCPress, 1992.
- 3 N. Ida, Numerical modeling for electromagnetic non-destructiveevaluation, Chapman and Hall, 1995.
- 4 S. R. H. Hoole, Computer aided analysis and design ofelectromagnetic devices, Elsevier Science Publishing Co., 1989.
- 5 J. Jin, The Finite Element Method in electromagnetics, 2nd Ed.,John Wiley and Sons, 2002.
- 6 P. P. Silvester and R. L. Ferrari, Finite elements for electricalengineers, 3rd Ed., Cambridge University Press, 1996.