Paper Info
Title
Models Of Non-Smooth Switches In Electrical Systems
Abstract
Idealized modelling of diodes, relays and switches in the framework of linear complementarity is introduced. Within the charge approach, the classical electromechanical analogy is extended to passively and actively switching components in electrical circuits. The associated branch relations are expressed in terms of set-valued functions, which allow to formulate the circuit's dynamic behaviour as a differential inclusion. This approach is demonstrated by the example of the DC-DC buck converter. A difference scheme, known in mechanics as time stepping, is applied for numerical approximation of the evolution problem. The discretized inclusions are formulated as a linear complementarity problem in standard form, which implicitly takes care of all switching events by its solution. State reduction, which requires manipulation of the set-valued branch relations in order to obtain a minimal model, is performed on the example of the buck converter. Copyright (c) 2005 John Wiley & Sons, Ltd.
Year
DOI
Venue
2005
10.1002/cta.316
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
Keywords
Field
DocType
diode, switch, relay, complementarity, discontinuity
Complementarity (molecular biology),Discretization,Electrical network,Control theory,Discontinuity (linguistics),Electronic engineering,Linear complementarity problem,Numerical analysis,Buck converter,Relay,Mathematics
Journal
Volume
Issue
ISSN
33
3
0098-9886
Citations 
PageRank 
References 
4
0.59
2
Authors
1
Name
Order
Citations
PageRank
Christoph Glocker1284.64