Course: Compact Modeling of Large Scale Dynamical Systems

Course no. :n/a
ECTS credits:2.5
Lecturer(s):Prof. Dr.-Ing. T. Bechtold
Available: winter term summer term
Course type:Lecture
Exam type:Written e. 1h or oral examine
Exam requirements: 
Objectives:After successful participation in the module, students will have advanced knowledge in areas related to
- modeling and simulation techniques
- linear numeric algebra
- System simulation of multiphysical technical systems
In addition, they have the following competences:
- Complex system descriptions using compact numerical models
- mastery of industry-relevant software tools for the simulation of complex system models, for example ANSYS, mor 4 ANSYS, Slicot, Simplorer, Saber;
Self and social competence:
- Consistency check of simulation results
- Handling complex data volumes
Course contents:The time dependent behaviour of mechatronic systems, often including coupled physical effects (e.g., mechanical and electrical coupling), is of great importance for their design and application. Through the spatial discretization of the governing partial differential equations, for example using the finite element method, we obtain very large ordinary differential equation systems, which often cannot be solved efficiently.
In this lecture students will be introduced to Model Order Reduction Methods, which allow to automatically obtain smaller/compact models, enabling so, efficient but accurate simulation of the same multi-physical phenomena. The methods will be demonstrated on a number of relevant microsystem applications. The industry tools for system-level simulation of multiphysical systems, like ANSYS, mor 4 ANSYS, Slicot Simplorer, Saber will be used.
Literature:Athanasios C. Antoulas: Approximation of Large-Scale Dynamical Systems, (Society for Industrial and Applied Mathematics), 2005.
T. Bechtold, E. B. Rudnyi, J. G. Korvink: Fast Simulation of Electro-Thermal MEMS: Efficient Dynamic Compact Models, (Springer Verlag), 2006.
T. Bechtold, G. Schrag, L. Feng (eds), System-Level Modeling of MEMS, (Wiley-VCH Verlag GmbH & Co. KGaA, 2013.
available in modul:professional specialization in semester 9
_ 2. technical elective in semester 9