Accessible Requires Authentication Published by Oldenbourg Wissenschaftsverlag November 30, 2018

Inversion of particle size distribution using the artificial fish swarm algorithm

Inversion der Korngrößenverteilung mit künstlichem Fischschwarm-Algorithmus
Liang Shan, Liang Xu, Lixia Cao, Bo Hong, Daodang Wang, Tiantai Guo and Ming Kong
From the journal tm - Technisches Messen


In the small-angle forward scattering technique, an inversion method of particle size distribution (PSD) using artificial fish swarm algorithm (AFSA) is proposed, which can acquire optimal characteristic parameters of the PSD. Simulations are performed to verify the effectiveness of AFSA, in which spheroidal particles of a unimodal distribution that conforms to Johnson’s SB function is inversed at different levels of gaussian white noise. The comparison of the smooth objective function and non-smooth objective function of AFSA is conducted and discussed.

The measurement system of the small-angle forward scattering based on Mie scattering theory is constructed and experiments are performed to verify the practicability of AFSA. A CCD sensor is adopted to receive the scattered light instead of the conventional photodetector. Pinhole is first proposed to replace standard particles and calibrate the measurement system, which can eliminate the influence of particle concentration. After the calibration experiments, the PSD of standardized polystyrene microspheres are measured and modified. Both the simulation and experiment results indicate that the PSD can be successfully inverted by AFSA with high reliability and stability in certain conditions, and the system calibration can further improve the inversion accuracy.


In der Kleinwinkelvorwärtsstreutechnik wird eine Inversionsmethode der Partikelgrößenverteilung (PSD) unter Verwendung des künstlichen Fischschwarmalgorithmus (AFSA) vorgeschlagen, die optimale charakteristische Parameter des PSD erfassen kann. Es werden Simulationen durchgeführt, um die Wirksamkeit von AFSA zu überprüfen, bei denen sphäroidische Partikel mit einer unimodalen Verteilung, die der SB-Funktion von Johnson entspricht, bei verschiedenen Pegeln des gaußschen weißen Rauschens umgekehrt werden. Der Vergleich der glatten Zielfunktion und der nicht glatten Zielfunktion von AFSA wird durchgeführt und diskutiert.

Das Messsystem der Kleinwinkelvorwärtsstreuung basierend auf der Mie-Streutheorie wird aufgebaut, und es werden Experimente durchgeführt, um die Praktikabilität von AFSA zu überprüfen. Ein CCD-Sensor wird verwendet, um das gestreute Licht anstelle des herkömmlichen Photodetektors zu empfangen. Pinhole wird zunächst vorgeschlagen, um Standardpartikel zu ersetzen und das Messsystem zu kalibrieren, was den Einfluss der Partikelkonzentration eliminieren kann. Nach den Kalibrierversuchen werden die PSD von standardisierten Polystyrol-Mikrokugeln gemessen und modifiziert. Sowohl die Simulations- als auch die Versuchsergebnisse deuten darauf hin, dass die PSD von AFSA mit hoher Zuverlässigkeit und Stabilität unter bestimmten Bedingungen erfolgreich invertiert werden kann, und die Systemkalibrierung kann die Umkehrgenauigkeit weiter verbessern.

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 51874264

Award Identifier / Grant number: 51476154

Award Identifier / Grant number: 51404223

Funding statement: This work was supported by the National Natural Science Foundation of China [51874264, 51476154, 51404223].


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Received: 2018-07-28
Accepted: 2018-11-16
Published Online: 2018-11-30
Published in Print: 2019-01-28

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