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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.

- Z. Ilievski, H. Xu, A. Verhoeven, E.J.W. ter Maten
- 2007

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)

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)

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-electro-mechanical 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)

Transient analysis is an important circuit simulation technique. The circuit model, which is a system of differential-algebraic equations, is solved for a given initial condition using numerical time integration techniques. Multirate methods are efficient if the dynamical behaviour of the circuit model is not uniform. 1 Introduction Analog electrical… (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)

- E. Jan Walter ter Maten
- Computing
- 1986

In this paper, several splitting methods are discussed which can be used to solve fourth order parabolic partial differential equations that are given in some suitable first order system form. The methods are generalisations of splitting methods for (second order) parabolic PDE's. For all methods which are considered, stability or instability is studied for… (More)

Multiphysical 1 and network modeling usually lead to coupled systems that exhibit largely different timescales. In time domain it is called multirate, in space multiscale. Efficient algorithms need to take these phenomena into account. Such methods are specially requested by industry. As a practical example one can think of a cellular phone, which consists… (More)

This paper focuses on the application of the variance-based global sensitivity analysis for a topology derivative method in order to solve a stochastic nonlinear time-dependent magnetoquasistatic interface problem. To illustrate the approach a permanent magnet synchronous machine has been considered. Our key objective is to provide a robust design of rotor… (More)

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