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In this paper we demonstrate model order reduction of a nonlinear academic model of an inverter chain. Two reduction methods, which are suitable for nonlinear differential algebraic equation systems are combined, the trajectory piecewise linear approach and the proper orthogonal decomposition.
Sensitivity analysis is an important tool that can be used to assess and improve the design and accuracy of a model describing an electronic circuit. Given a model description in the form of a set of differential-algebraic equations it is possible to observe how a circuit’s output reacts to varying input parameters, which are introduced at the requirements… (More)
This Chapter introduces parameterized, or parametric, Model Order Reduction (pMOR). The Sections are offered in a prefered order for reading, but can be read independently. Section 4.1, written by Jorge Fernández Villena, L. Miguel Silveira, Wil H.A. Schilders, Gabriela Ciuprina, Daniel Ioan and Sebastian Kula, overviews the basic principles for pMOR. Due… (More)
The goal of mathematical model order reduction (MOR) is to replace the non-automatic compact modeling, which is the state of the art in simulation flow of microelectronic and micro-electromechanical systems (MEMS). MOR offers a possibility of automatically creating small but very accurate models which can be used within system level simulation. The main… (More)
In transient analysis of electrical circuits the solution is computed by means of numerical integration methods. Adaptive stepsize control is used to control the local errors of the numerical solution. For optimization purposes smoother stepsize controllers can ensure that the errors and stepsizes also behave smoothly. For onestep methods, the stepsize… (More)
E Jan W ter Maten , Piotr A Putek, Michael Günther, Roland Pulch, Caren Tischendorf, Christian Strohm, Wim Schoenmaker, Peter Meuris, Bart De Smedt, Peter Benner, Lihong Feng, Nicodemus Banagaaya, Yao Yue, Rick Janssen, Jos J Dohmen, Bratislav Tasić, Frederik Deleu, Renaud Gillon, Aarnout Wieers, Hans-Georg Brachtendorf, Kai Bittner, Tomáš Kratochvíl, Jiří… (More)
The time evolution of power systems is modeled by a system of differential and algebraic equations. The variables involved in the system may exhibit different time scales. In standard numerical time integration methods the most active variables impose the time step for the whole system. We present a strategy, which allows the use of different, local time… (More)
A novel time-domain method for finding the periodic steady-state of a free-running electrical oscillator is introduced. The method is based on the extrapolation technique MPE. This method is applied to the well-known Colpitt’s Oscillator, for which it turns out to have super-linear convergence.
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the… (More)
Our ultimate goal is a topology optimization for a permanent-magnet (PM) machine, while including material uncertainties. The uncertainties in the output data are, e.g., due to measurement errors in the non-/linear material laws. In the resulting stochastic forward problem, these uncertainties are stochastically modeled by random fields. The solution of the… (More)