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Main Title: Regularization and Numerical Simulation of Dynamical Systems Modeled with Modelica
Author(s): Altmeyer, Randolf
Steinbrecher, Andreas
Type: Research Paper
Abstract: Quasi-linear differential-algebraic equations (DAEs) are essential tools for modeling dynamical processes, e.g. for mechanical systems, electrical circuits or chemical reactions. These models are in general of higher index and contain so called hidden constraints which lead to instabilities and order reductions during numerical integration of the model equations. In this article we consider dynamical systems modeled with quasi-linear DAEs of higher index using Modelica. We investigate a regularization of model equations in the Modelica framework in view of an efficient and robust numerical simulation. We will present an approach for numerical integration of quasi-linear DAEs which is based on overdetermined DAEs obtained from dynamical models modeled with Modelica.
Subject(s): dynamical systems
differential-algebraic equations
numerical integration
Issue Date: 30-Sep-2013
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65L80 Methods for differential-algebraic equations
34A09 Implicit equations, differential-algebraic equations
65K05 Mathematical programming methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2013, 29
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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