An Analytical Time-Domain Expression for the Net Ripple Produced by Parallel Interleaved Converters

作者：Johnson Brian B^*; Krein Philip T

来源：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2017, 64(3): 289-293.

DOI：10.1109/TCSII.2016.2557620

• DC-DC converters
• Fourier analysis
• interleaving
• inverters
• modular arithmetic
• parallel converters

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 is uniformly phase shifted across one period. The main result is a time-domain expression that 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. Thismodel 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.

• 出版日期2017-3