An analytic approach for resource efficient parametric simulation of electronic circuits

Mario Schenk*, Annette Muetze, Klaus Krischan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We propose a resource efficient precision transient circuit simulator approach without time step for solving the systems of differential equations. The method is notably suitable for optimization and worst-case dimensioning of small-scale electronic circuits. A closed-form analytic solution is computed for each of the electronic circuit states. Numerical integration is not required, and therefore, convergence problems are eliminated. An electronic circuit with only linear elements, for example, R, C, L and independent current, and voltage sources (LTI), is described with a system of differential (state) equations. Nonlinear elements, such as L(i), C(u), Diodes, MOSFETs, BJTs and/or PWM controllers are described with piecewise-linear models. Connecting linear and linearized nonlinear elements, results in a linear system of differential equations.

Original languageEnglish
Pages (from-to)33-47
Number of pages15
JournalEPE Journal : European Power Electronics and Drives Journal
Issue number1
Publication statusPublished - 2 Jan 2020


  • Circuit analysis
  • circuit simulation
  • computer aided analysis
  • piecewise linear approximation
  • time-domain analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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