Jeltsema, Dimitri

Klaassens, J. Ben

Scherpen, Jacquelien M.A.

English

In this paper a method is presented to build an Euler-Lagrange model for electrical networks, including switches and integrated (non-ideal) coupled-magnetics, in a structured general way. One of the advantages of emphasizing the physical structure of these systems is its functionality during the controller design stage. In case a switching network contains coupled-inductor structures, an additional path for the energy transfer is introduced. For this reason, a basic building block is proposed that describes the dynamical behaviour of a pair of magnetically coupled-inductors. This building block is applicable to all types of switching converters, and easily predicts the existence of reduced or zero-ripple current. The switches make the dynamic models nonlinear. For using the Lagrangian structure for controller design, the zero-dynamics for such switching network had to be studied. It is shown that under certain coupling conditions it will not be possible to design a globally stable controller. The approach is illustrated by means of the coupled-inductor Ćuk-converter with zero-output ripple, in closed loop with an adaptive passivity-based controller

Proceedings - University of Groningen

Lagrangian Modeling and Control of Switching Networks with Integrated Coupled Magnetics

https://pure.rug.nl/ws/files/3125633/2000ProcCDCScherpen1.pdf

Lagrangian Modeling and Control of Switching Networks with Integrated Coupled Magnetics

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Proceedings - University of Groningen