Index-aware learning of circuits

Idoia Cortes Garcia, Peter Förster (Corresponding author), Lennart Jansen, Wil H.A. Schilders, Sebastian Schöps

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Electrical circuits are present in a variety of technologies, making their design an important part of computer aided engineering. The growing number of parameters that affect the final design leads to a need for new approaches to quantify their impact. Machine learning may play a key role in this regard; however, current approaches often make suboptimal use of existing knowledge about the system at hand. In terms of circuits, their description via modified nodal analysis is well-understood. This particular formulation leads to systems of differential-algebraic equations (DAEs), which bring with them a number of peculiarities, for example, hidden constraints that the solution needs to fulfill. We use the recently introduced dissection index that can decouple a given system of DAEs into ordinary differential equations, only depending on differential variables, and purely algebraic equations, that describe the relations between differential and algebraic variables. The idea is to then only learn the differential variables and reconstruct the algebraic ones using the relations from the decoupling. This approach guarantees that the algebraic constraints are fulfilled up to the accuracy of the nonlinear system solver, and it may also reduce the learning effort as only the differential variables need to be learned.
Original languageEnglish
JournalInternational Journal of Circuit Theory and Applications
VolumeXX
Issue numberX
DOIs
Publication statusE-pub ahead of print - 8 Apr 2024

Keywords

  • differential-algebraic equations
  • dissection index
  • electrical circuits
  • machine learning
  • modified nodal analysis

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