Monotone RLC Circuits

TL;DR

This paper explores the application of modern optimization algorithms to analyze the periodic behavior of interconnected maximal monotone RLC circuits, demonstrating a fixed point iteration approach on specific circuit configurations.

Contribution

It introduces a novel fixed point iteration method for computing the periodic behavior of interconnected maximal monotone systems in RLC circuits.

Findings

The fixed point iteration effectively computes circuit behavior.

Demonstration on port interconnections of resistors, capacitors, and inductors.

Preliminary results show promise for analyzing complex circuit interconnections.

Abstract

The circuit-theoretic origins of maximal monotonicity are revisited using modern optimization algorithms for maximal monotone operators. We present an algorithm for computing the periodic behavior of an interconnection of maximal monotone systems using a fixed point iteration. The fixed point iteration may be split according to the interconnection structure of the system. In this preliminary work, the approach is demonstrated on port interconnections of maximal monotone resistors and LTI capacitors and inductors.