The transmission line modeling (TLM) method as a new iterative technique in nonlinear 2-D magnetostatics

Application of domain decomposition and transmission line modelling techniques to 2D, time-domain, finite element problems

“…By using an alternative iterative scheme, originally applied to the analysis of nonlinear electronic circuits, known as TL modelling [l], [3], it is possible to avoid this difficulty. Essentially, the nonlinearity is accounted for by fictitious current sources added to the right-hand side of the matrix equation.…”

“…In the TL method, convergence occurs at both a global and an elemental level [3]. At the global level, the same convergence criterion given by (3) is used.…”

On the domain decomposition and transmission line modelling finite element method for time-domain induction motor analysis

“…Lobry, Trkcat and Broche [4] demonstrate that the convergence of the TL method can be greatly improved by a good choice of vi,. The closer the vi, are to the final converged reluctivities, u,,t the fewer TL iterations required.…”

“…The closer the vi, are to the final converged reluctivities, u,,t the fewer TL iterations required. In [4] it is suggested that a rough solution could be obtained using a sparse FE mesh, which would form the basis for a better estimate for vin. In the application of the method to time-domain problems, the known history of reluctivity variations within all nonlinear elements can be exploited.…”

“…To do this, transmission line (TL) modelling is employed as a novel method of solving nonlinear FE equations [4].…”