Skip Navigation


IMA Journal of Applied Mathematics Advance Access originally published online on August 19, 2009
IMA Journal of Applied Mathematics 2009 74(5):782-805; doi:10.1093/imamat/hxp025
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
74/5/782    most recent
hxp025v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Cox, S. M.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Voltage and current spectra for a single-phase voltage source inverter

Stephen M. Cox{dagger}

School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK

{dagger} Email: stephen.cox{at}nottingham.ac.uk

Received on December 10, 2008; Accepted on July 22, 2009

An inverter converts a direct current power supply to an alternating current power supply. To do so, its output is switched at high frequency between the inputs in order to synthesize the desired alternating current output in the low-frequency part of the Fourier spectrum. Here, we calculate analytical expressions for the input and output current and voltage spectra for two inverter designs: so-called single-phase-leg and two-phase-leg inverters. The output voltage and current spectra are well known but are found here by a new, analytically compact means. More significantly, the input current spectra for the two designs are calculated here for the first time. A prior, approximate method for determining the input current spectrum (which assumes an exactly sinusoidal output current) is compared with our exact results.

Keywords: Black's method; Fourier spectrum; power converters; voltage inverter.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.