Structure-Exploiting Symbolic-Numerical Model Reduction of Nonlinear Electrical Circuits

  • Oliver Schmidt
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)


This paper presents new strategies for the analysis and reduction of systems of ever-growing size and complexity by exploiting the hierarchical structure of analog electronical circuits. Thereby, the entire circuit is considered as a system of interconnected subcircuits. A newly developed algorithm uses a novel concept of subsystem sensitivities and reduces the subcircuits separately fromeach other. Thus, a coupling of different reduction techniques is permitted. Finally, the practicability of the new techniques is demonstrated on an amplifier circuit example typically used in industrial applications.


Sine Wave Model Reduction Global Error Analog Circuit Symbolic Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Analog Insydes – The Intelligent Symbolic Design System for Analog Circuits. Homepage: Google Scholar
  2. 2.
    Halfmann, T., Wichmann, T.: Overview of Symbolic Methods in Industrial Analog Circuit Design. Berichte des Fraunhofer ITWM, Nr. 44 (2003)Google Scholar
  3. 3.
    Hennig, E.: Symbolic Approximation and Modeling Techniques for Analysis and Design of Analog Circuits. Ph.D. thesis, Universität Kaiserslautern, Shaker, Aachen (2000)Google Scholar
  4. 4.
    Schmidt, O.: Structure-Exploiting Coupled Symbolic-Numerical Model Reduction For Electrical Networks. Ph.D. thesis, Technische Universität Kaiserslautern, Cuvillier, Göttingen (2010)Google Scholar
  5. 5.
    Schmidt, O., Halfmann, T., Lang, P.: Coupling of numerical and symbolic techniques for model order reduction in circuit design. In: Benner, P., Hinze, M., ter Maten, E.J.W. (eds.) Model Reduction for Circuit Simulation, Lecture Notes in Electr. Eng., vol. 74. Springer, Berlin (2011)Google Scholar
  6. 6.
    Sommer, R., Hennig, E., Nitsche, G., Schwarz, P., Broz, J.: Automatic nonlin. behavioral model generation using symb. circ. anal. In: Fakhfakh, M., Tlelo-Cuautle, E., Fernández, F.V. (eds.) Design of Analog Circuits through Symbolic Analysis, Bentham Science Publishers, IL (2010)Google Scholar
  7. 7.
    Wichmann, T.: Symbolische Reduktionsverfahren für nichtlineare DAE-Systeme. Ph.D. thesis, Technische Universität Kaiserslautern, Shaker, Aachen (2004)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Fraunhofer ITWMKaiserslauternGermany

Personalised recommendations