An application of physical units (dimensional) analysis to the consideration of nonlinearity in electrical switched circuits

TL;DR

This paper applies physical units analysis to simplify the understanding of nonlinearity in electrical switched circuits, providing a new perspective that connects system theory with physical dimensions.

Contribution

It introduces a dimensional analysis approach to electrical switched circuits, offering a novel method to analyze nonlinearity and suggesting axiomatization points for system theory.

Findings

Dimensional analysis simplifies nonlinearity considerations.

Provides a new framework for analyzing switched circuits.

Suggests axiomatization points for system theory.

Abstract

The argument of physical dimension/units is applied to electrical switched circuits, making the topic of the nonlinearity of such circuits simpler. This approach is seen against the background of a more general outlook (IEEE CAS MAG, III, 2009, pp. 56-62) on singular (switched and sampling) systems. The appendix suggests some points for the axiomatization of system theory considered as an independent science.