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Loudspeaker transducer models with fractional derivatives can accurately approximate the inductive part of the voice coil impedance of a transducer over a wide frequency band, while maintaining the number of fitting parameters to a minimum. Analytical solutions to Maxwell equations in infinite lossy coils can also be interpreted as fractional derivative models. However, they suggest that the fractional order a cannot be a constant, but rather a function of frequency that takes on values between 1/2 and 1. This paper uses Finite Element (FEM) simulations to bridge the gap between the theoretical first-principles approach and lumped parameter models using fractional derivatives. The study explores the dependence of a on frequency for idealized infinite and finite cores as well as in four real loudspeaker transducers. To better match the measured impedances and frequency-dependent a values we propose to represent the voice coil impedance by a cascade of R-L sections.
Author (s): Bezzola, Andri; Brunet, Pascal; Yuan, Shenli
Affiliation:
Samsung Research America, Valencia, CA USA; Audio Group - Digital Media Solutions; Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA
(See document for exact affiliation information.)
AES Convention: 143
Paper Number:9839
Publication Date:
2017-10-06
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Session subject:
Transducers—Part 3
Permalink: https://aes2.org/publications/elibrary-page/?id=19236
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Bezzola, Andri; Brunet, Pascal; Yuan, Shenli; 2017; Variable Fractional Order Analysis of Loudspeaker Transducers: Theory, Simulations, Measurements, and Synthesis [PDF]; Samsung Research America, Valencia, CA USA; Audio Group - Digital Media Solutions; Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA; Paper 9839; Available from: https://aes2.org/publications/elibrary-page/?id=19236
Bezzola, Andri; Brunet, Pascal; Yuan, Shenli; Variable Fractional Order Analysis of Loudspeaker Transducers: Theory, Simulations, Measurements, and Synthesis [PDF]; Samsung Research America, Valencia, CA USA; Audio Group - Digital Media Solutions; Center for Computer Research in Music and Acoustics (CCRMA), Stanford University, Stanford, CA, USA; Paper 9839; 2017 Available: https://aes2.org/publications/elibrary-page/?id=19236
@article{bezzola2017variable,
author={bezzola andri and brunet pascal and yuan shenli},
journal={journal of the audio engineering society},
title={variable fractional order analysis of loudspeaker transducers: theory, simulations, measurements, and synthesis},
year={2017},
number={9839},
month={october},}