Paper Info
Title
Mathematical and numerical analysis of a transient magnetic model with voltage drop excitations.
Abstract
This paper deals with the mathematical and numerical analysis of a nonlinear 2D transient magnetic model when the source data are given in terms of the voltage drop excitations in conductors and the remanent magnetic flux for permanent magnets. The formulation consists of a distributed nonlinear magnetostatic model with time appearing as a parameter, and a circuit equation linking currents and voltage drops. This last equation is used to express the problem as an implicit ODE system whose operator involves the resolution of the distributed model. The model is spatially discretized using a finite element method and an implicit Euler scheme is employed for time discretization. We perform the mathematical analysis of the problem at both the continuous and discrete levels and obtain an error estimate that is illustrated with some numerical results.
Year
DOI
Venue
2018
10.1016/j.camwa.2018.08.054
Computers & Mathematics with Applications
Keywords
Field
DocType
Transient magnetic,Nonlinear partial differential equation,Finite element approximation,Voltage drops
Discretization,Nonlinear system,Distributed element model,Mathematical analysis,Voltage drop,Finite element method,Magnetic flux,Numerical analysis,Backward Euler method,Mathematics
Journal
Volume
Issue
ISSN
76
11
0898-1221
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Alfredo Bermúdez14713.97
Marta Piñeiro200.68
Pilar Salgado3165.55