Modeling and Control of the ARCP in Power and Drive Systems
Abstract
Three methods have been developed for assessing the stability of dc-to dc converters and converter-based power systems. The first of these methods is based on a state-space representation of an average-value model of a dc-to-dc buck converter with an LC input filter. It is shown that filter-converter combination is completely controllable through state feedback. The second method is based on an exact expression for the input impedance of the buck converter. This expression may be used in conjunction with the Nyquist criterion applied to the minor loop at the interface between the converter and a power system; it is valid at all frequencies, even those above the switching frequency. The third method is based on an analysis of the Floquet multipliers for the periodic solution to a general class of piecewise- linear systems operated with a switching surface that includes state and input variables as well as time. Software for computing the Floquet multipliers given an arbitrary state-space model of the piece-wise linear system and switching surface has been developed. It has been used to show regions of instability for the dc-to-dc buck converter.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 2004
- Accession Number
- ADA419969
Entities
People
- Heath Hofmann
- Jeffrey Mayer
Organizations
- Pennsylvania State University