Some contributions to Lagrangian modelling of Power Converters

TL;DR

This paper advances Lagrangian modelling for power converters, simplifying complex system analysis and extending the approach to high-fidelity, non-ideal circuit descriptions.

Contribution

It introduces a systematic procedure for Lagrangian modelling of power converters, including constraints, and extends the method to non-ideal, high-fidelity circuit models.

Findings

Enhanced modelling procedure for power converters.

Incorporation of constraints in Lagrangian framework.

Extension to high-fidelity, non-ideal circuit models.

Abstract

Lagrangian modelling can be used to derive mathematical models for complex power electronic converters. This approach uses scalar quantities (kinetic and potential energy) to derive models, which is simpler than using (vector-based) force balance equations. It employs generalized coordinates, making it easier to deal with complex systems with constraints. This systematic approach results in equations that can be expressed in state-space form, which allows for the simplification of the simulation and design process and the use of many standard software packages for system analysis and simulation. In this work, contributions are made regarding the procedure to be followed for the Lagrangian modelling of power converters and the incorporation of constraints within the Lagrangian framework. Furthermore, for the first time, Lagrangian modelling is extended to non-ideal, high-fidelity descriptions of standard power electronic circuits.