Transient Electro-Quasistatic Adaptive Simulation Schemes

Clemens, Markus; Wilke, Markus; Benderskaya, Galina; Gersem, Herbert De; Koch, Wigand; Weiland, Thomas

doi:10.1109/tmag.2004.824582

Cited by 26 publications

(12 citation statements)

References 11 publications

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“…In order to solve the resulting initial boundary value problem, time discretization based on Singly-Diagonal-Implicit-Runge-Kutta Methods (SDIRK) is performed (Clemens et al, 2004a;Lang, 2001). SDIRK methods are stiffly-accurate one-step methods with s internal stages which discretize equation 1to systems of equations of the type n+1) .…”

Section: Runge-kutta Methodsmentioning

confidence: 99%

Numerical simulation of transient electro-quasistatic fields using advanced subspace projection techniques

2006

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Abstract. The transient simulation of electro-quasistatic fields requires a formulation that takes both dielectric effects as well as nonlinear conductive effects into account. The successive solution of large linear systems of equations with similar or even identical system matrices has to be performed repeatedly if this formulation is discretized by the Finite-Element method and an Implicit-Runge-Kutta method, respectively. The solution processes can be accelerated by using subspace recycling techniques and subspace projection extrapolation techniques. Numerical results for three-dimensional high-voltage applications are presented and the efficiency of these techniques is shown.

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Section: Runge-kutta Methodsmentioning

confidence: 99%

Numerical simulation of transient electro-quasistatic fields using advanced subspace projection techniques

2006

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“…The values for these capacitances correspond to the values on the diagonal of M ρc , cf. (14). To include inhomogeneous Dirichlet conditions, temperature sources are modeled by voltage sources between the Dirichlet nodes and ground as done for the electrical circuit.…”

Section: A Circuit Topologymentioning

confidence: 99%

Automatic generation of equivalent electrothermal SPICE netlists from 3D electrothermal field models

Casper¹,

Gersem²,

Schöps³

2016

2016 17th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and

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Starting from a 3D electrothermal field problem discretized by the Finite Integration Technique, the equivalence to a circuit description is shown by exploiting the analogy to the Modified Nodal Analysis approach. Using this analogy, an algorithm for the automatic generation of a monolithic SPICE netlist is presented. Joule losses from the electrical circuit are included as heat sources in the thermal circuit. The thermal simulation yields nodal temperatures that influence the electrical conductivity. Apart from the used field discretization, this approach applies no further simplifications. An example 3D chip package is used to validate the algorithm.

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“…As a technical example, a surge arrester is simulated (Clemens et al , 2003) (Figure 3). The Dirichlet BCs corresponding to the applied voltages are inserted in the system whereas the floating potentials modelling the metallic spacers are considered by projecting the electrostatic system of equations.…”

Section: Algorithmmentioning

confidence: 99%

Efficient modelling techniques for complicated boundary conditions applied to structured grids

Gersem

Wilke²,

Clemens³

et al. 2004

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Certain sophisticated boundary conditions offer powerful modelling features for many electrotechnical models. Their application, however, wipes out the particular structure of the system matrices which occurs when structured grids are applied. In this paper, this effect is prevented by considering the unconstrained system together with additional constraint equations or by projecting the algebraic system using an oblique or orthogonal projector. The numerical tests indicate that the efficiency of sparse iterative solvers can be preserved even in the presence of complicated boundary relations. The described projections are also advantageous for formulations derived for unstructured grids.

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Transient Electro-Quasistatic Adaptive Simulation Schemes

Cited by 26 publications

References 11 publications

Numerical simulation of transient electro-quasistatic fields using advanced subspace projection techniques

Numerical simulation of transient electro-quasistatic fields using advanced subspace projection techniques

Automatic generation of equivalent electrothermal SPICE netlists from 3D electrothermal field models

Efficient modelling techniques for complicated boundary conditions applied to structured grids

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