RT Dissertation/Thesis T1 Modeling and Numerical Methods for the Study of Nonlinear Electromagnetic Problems A1 Piñeiro Peón, Marta K1 low-frequency Maxwell equations K1 nonlinear partial differential equations K1 finite element method K1 electrical machines AB The main objective of the PhD thesis is the study of mathematical problems that arise in low frequency electromagnetics, mainly oriented to the numerical simulation of industrial processes. Specifically, we focus on both eddy currents and transient magnetic problems.In Part I, we first perform the mathematical and numerical analysis of a 3D harmonic formulation with sources given in terms of the current through or the potential drop on surfaces located at the domain boundary, and then we describe a finite element method for the numerical simulation of magnetization processes in ferromagnetic pieces presenting hysteresis.In Part II we deal with problems related to electrical machines. Firstly, we perform the mathematical analysis of a basic transient magnetic formulation, next next we study an optimal control problem on a synchronous machine, and we finally present a novel method for accelerating the steady-state computation in induction motors with squirrel-cage rotor. YR 2018 FD 2018 LK http://hdl.handle.net/10347/16868 UL http://hdl.handle.net/10347/16868 LA eng DS Minerva RD 24 abr 2026