... T n ] { δ x 1 ⋮ δ x n } = { − G 1 ⋮ − G n } (6) T = ∂ S / ∂ x + C ˜ ,   C ˜ = C / Δ t Newton–Raphson method Line-search Time-periodic finite element method Steady...

...-use rights only Magnetic fields Analytical methods Electrical machines Non-linear analysis Newton–Raphson method Elementary subdomain technique In electrical machines’ design and optimization tools, the most influential parameters include accuracy compared to test results...

... Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Magnetostatics Newton-Raphson method Circuit analysis Finite element modelling Ferromagnetic materials Figure 5. Magnetic flux density in the yoke of the magnet without aperture field (6...

... – Nonlinear magnetic field analysis is achieved by using Newton-Raphson method implemented by relaxed convergence criterion of Krylov subspace method. Findings – This paper mathematically analyzes the reason why nonlinear convergence can be achieved if the convergence criterion for linearized equation...

... as that of the Newton-Raphson method. The convergence characteristic of the newly proposed fixed-point method is compared with those of the Newton-Raphson method. Findings – The modified fixed-point method has an advantage that the programming is easy and it has a similar convergence property to the Newton...

... Circuits Electric power generation Circuit analysis Mathematical modeling Nonlinearity Newton‐Raphson method Solar power The necessity of global reduction on gas emissions, the continuous increase in the cost of electrical energy production using conventional energy sources as well...

...‐free FE model with imposed fluxes and magnetomotive forces is studied. The non‐linear equations are solved by means of the Newton‐Raphson method, which leads to the use of the differential reluctivity and permeability tensor. The proposed method is applied to a simple 2D model exhibiting rotational...

...H. Vande Sande; F. Henrotte; K. Hameyer This paper discusses the use of a complex‐valued reluctivity tensor for modelling non‐linear, anisotropic and hysteretic materials in a time‐harmonic finite element context. It is shown how these problems can be solved by the Newton‐Raphson method. The method...

... Publishing Limited 2004 Newton‐Raphson method Fluid dynamics Finite element anaylsis Magnetorheological fluids (or simply MR fluids) were invented by Jacob Rabinow in the late 1930s (Rosensweig, 1985). Their characteristic features involve a change in viscosity upon the application...

... equations by means of the Newton‐Raphson method. It is shown that the application of the latter method naturally leads to the use of the differential reluctivity tensor, i.e. the derivative of the magnetic field vector with respect to the magnetic induction vector. This second rank tensor can...