Power-Controlled Hamiltonian Systems: Application to Electrical Systems with Constant Power Loads

TL;DR

This paper introduces a framework for power-controlled Hamiltonian systems, focusing on stability analysis of electrical circuits with constant power loads, by examining shifted passivity properties and their implications.

Contribution

It develops a novel modeling approach for port-Hamiltonian systems affected by power-based disturbances and analyzes their stability, especially in electrical systems with constant power loads.

Findings

Framework for modeling power-controlled Hamiltonian systems

Stability conditions derived for systems with constant power loads

Application to electrical circuit stability analysis

Abstract

We study a type of port-Hamiltonian system, in which the controller or disturbance is not applied to the flow variables, but to the systems power, a scenario that appears in many practical applications. A suitable framework is provided to model these systems and to investigate their shifted passivity properties, based on which, a stability analysis is carried out. The applicability of the results is illustrated with the important problem of stability analysis of electrical circuits with constant power loads.