Energetic Study of Passive LC Networks with Ideal Switches
by
Giuliano Angeli
Department of Electrical Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Coauthors: Adriano Paolo Morando, Gabrio Superti-Furga

Power converters are complex hybrid devices which

may be viewed as voltage (or current) sourced subsystems interconnected

by switches: in several cases, those subsystems that realize

the conversion of energy may be modeled as passive LC networks with ideal switches.

In this paper, passive LC networks with ideal switches will be viewed as LC multiports with the external ports

termed by ideal switches. On one hand, in order to model external switches, the so called ‘complementarity conditions’

(ideal diode characteristics) will be used; on the other hand, in order to model

the dynamic part of the system, Hamiltonian function and the so called ‘connection energy’

(the change in the stored energy due to topologies changes) will be considered.

From these well-known concepts, in this paper we will show

a new discussion of the conditions under which a passive

LC network with ideal switches can be viewed in a Hamiltonian way:

by the mean of such a discussion we aim at obtaining a unifying

theory between Hamiltonian modeling and ‘connection energy’.

Date received: March 26, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawz-80.