Optimization of regularization parameter of inversion in particle sizing using light extinction method--颗粒学报PARTICUOLOGY

Su, M., Xu, F., Cai, X., Ren, K., & Shen, J. (2007). Optimization of regularization parameter of inversion in particle sizing using light extinction method. China Particuology, 5(4), 295–299. https://doi.org/10.1016/j.cpart.2007.04.005

Optimization of regularization parameter of inversion in particle sizing using light extinction method

Mingxu Su ^a *, Feng Xu ^a b c, Xiaoshu Cai ^a, Kuanfang Ren ^b c, Jianqi Shen ^a

a Institute of Particle and Two Phase Flow Measurement Technology, University of Shanghai for Science and Technology, Shanghai 200093, China
b LESP, UMR6614/CORIA CNRS-Universite, France
c INSA de Rouen 76801, France

10.1016/j.cpart.2007.04.005

Volume 5, Issue 4, August 2007, Pages 295-299

Received 11 October 2006, Accepted 27 April 2007, Available online 17 July 2007.

E-mail: sumingxu2002@yahoo.com

Highlights

Abstract

In particle sizing by light extinction method, the regularization parameter plays an important role in applying regularization to find the solution to ill-posed inverse problems. We combine the generalized cross-validation (GCV) and L-curve criteria with the Twomey–NNLS algorithm in parameter optimization. Numerical simulation and experimental validation show that the resistance of the newly developed algorithms to measurement errors can be improved leading to stable inversion results for unimodal particle size distribution.

Graphical abstract

Keywords

Particle size analysis; Light extinction; Inversion algorithm; Regularization parameter

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