Mathematical Methods 4 Electrotechnic Freaks (eBook)

Prof. Jürgen Ulm teaches electrotechnology at Reinhold-Würth University, Künzelsau Campus, where he is a research professor for electromagnetic systems. His research focuses on electrical drives, electromagnetic sensors and methods for non-destructive magnetic material testing. He is the head of the Institute for Digitalisation and Electrical Drives (IDA).

Required mathematical basics - Coordinate systems - Geometric mean distance - GMD - LCR parallel and series resonant circuit - Current displacement in conductor - Bessel equation and Bessel function - Solution of using Green's functions - Method of Lagrangian multipliers - Differential equations and finite elements - the Method of Moments to the Galerkin Method - Galerkin Method - Galerkin-FEM - Electrostatic field calculation - Galerkin-FEM - heat diffusion - Galerkin-FEM - magnetic field diffusion - Introduction to the finite difference method - Applications of FEM to product development - Virtual product design - Eigenvalue problems - Common features of methods to solve differential equations - Things worth knowing about modelling