
Open access
Author
Date
1994-10Type
- Report
ETH Bibliography
yes
Altmetrics
Abstract
The dynamics of circuits in power electronics may often be modelled by means of systems of linear differential equations with piecewise constant coefficients and sinusoidal inhomogeneities. The Static Var (Volt-Ampere reactive) Compensator (SVC, a device for power network control) is a representative example. Initial value problems of this type may be handled by means of the matrix exponential, whereas the construction of periodic solutions is in itself a linear problem. The linear algebra package MATLAB is ideally suited for numerically performing the above mentioned tasks, including stability analysis and spectral analysis of periodic solutions. This paper begins with the description of the engineering background and a brief outline of the well known mathematical theory. Then a transparent, but efficient program capable of generating, plotting and analyzing periodic solutions is presented and documented. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004284248Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
circuit; exponential matrix; linear differential equation; MATLAB; periodic solution; piecewise constant coefficients; power electronicsOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
More
Show all metadata
ETH Bibliography
yes
Altmetrics