Sascha Baumanns

Large signal simulation of integrated inductors on semi-conducting substrates

We present a formulation of transient field solving that allows for the inclusion of semiconducting materials whose dynamic responses are prescribed by drift-diffusion modeling. The robustness and the feasibility is demonstrated by applying the scheme to compute accurately the large-signal response of an integrated inductor.

Consistent Initialization for Coupled Circuit-Device Simulation

For a coupled circuit device simulation in the time domain, consistent initial values have to be calculated. We study the structure and properties of the differential-algebraic equations (DAEs) that arise after space discretization of the partial differential equation part coming from the device modelling. Exploiting the special DAE structure, we show that a consistent initial value can be computed within two steps. Firstly, one determines an operation point. Secondly, a linear system is solved for correcting the operation point such that the hidden constraints are also satisfied. Finally, an algorithm for the calculation of such values is proposed.

Simulation Aspects of Circuit DAEs Including Memristors

We study the structure of electrical circuits including a new kind of circuit element named memristors modeled by a differential‐algebraic equation (DAE). In 2008 a physical model of the memristor was announced [1] and has attract a great attention. The goal is to characterize the tractability index under strict passivity assumptions. We extend the topological index criteria for the modified nodal analysis (MNA) to that enlarged model including memristors and present an algorithm for the calculation of a consistent initialization for the system.