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Title: An Analytical Time–Domain Expression for the Net Ripple Produced by Parallel Interleaved Converters

Journal Article · · IEEE Transactions on Circuits and Systems. II, Express Briefs

We apply modular arithmetic and Fourier series to analyze the superposition of N interleaved triangular waveforms with identical amplitudes and duty-ratios. Here, interleaving refers to the condition when a collection of periodic waveforms with identical periods are each uniformly phase-shifted across one period. The main result is a time-domain expression which provides an exact representation of the summed and interleaved triangular waveforms, where the peak amplitude and parameters of the time-periodic component are all specified in closed-form. Analysis is general and can be used to study various applications in multi-converter systems. This model is unique not only in that it reveals a simple and intuitive expression for the net ripple, but its derivation via modular arithmetic and Fourier series is distinct from prior approaches. The analytical framework is experimentally validated with a system of three parallel converters under time-varying operating conditions.

Research Organization:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Organization:
NREL Laboratory Directed Research and Development (LDRD)
DOE Contract Number:
AC36-08GO28308
OSTI ID:
1346338
Report Number(s):
NREL/JA-5D00-66257
Journal Information:
IEEE Transactions on Circuits and Systems. II, Express Briefs, Vol. 64, Issue 3; ISSN 1549-7747
Publisher:
IEEE
Country of Publication:
United States
Language:
English