An experimental modeling of cyclone separator efficiency with PCA-PSO-SVR algorithm

Accurate prediction of the complicated nonlinear relationship among the grade efficiency, geometrical dimensions, and operating parameters based on limited experimental data is the most effective way to design a high-efficiency cyclone separator. Herein, a hybrid PCA-PSO-SVR model is proposed to pre...

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Published in:	Powder technology Vol. 347; pp. 114 - 124
Main Authors:	Zhang, Wei, Zhang, Linlin, Yang, Jingxuan, Hao, Xiaogang, Guan, Guoqing, Gao, Zhihua
Format:	Journal Article
Language:	English
Published:	Lausanne Elsevier B.V 01.04.2019 Elsevier BV
Subjects:	Algorithms Correlation coefficient Correlation coefficients Cyclone separator Cyclone separators Efficiency Experimental data Grade efficiency Kernel functions Mathematical models Model accuracy Model testing Parameters Particle swarm optimization powders prediction Predictions Pretreatment Principal component analysis Principal components analysis Random sampling Regression analysis sampling Separators Statistical sampling Support vector machines Support vector regression algorithm Test sets Grade efficiency Cyclone separator Particle swarm optimization Support vector regression algorithm Principal component analysis
ISSN:	0032-5910, 1873-328X
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Abstract	Accurate prediction of the complicated nonlinear relationship among the grade efficiency, geometrical dimensions, and operating parameters based on limited experimental data is the most effective way to design a high-efficiency cyclone separator. Herein, a hybrid PCA-PSO-SVR model is proposed to predict the grade efficiency of cyclone separators with the operating parameters based on 217 sets of experimental data provided in the literature. The experimental data are preprocessed using the random sampling technique together with the normalization method and principal component analysis (PCA) at first; subsequently, the particle swarm optimization (PSO) algorithm is incorporated to optimize the parameters for the support vector regression (SVR), including the penalty factor C, kernel function parameter g, and insensitive loss ε. Finally, the SVR model with the optimized parameters is trained with 80% pretreatment data, and the generalization ability of the model is tested with the remaining 20% data. The mean squared error of the test sets is 6.948 × 10−4 with a correlation coefficient of 0.982. The comparison results show that the PCA-PSO-SVR model has higher accuracy, better generalization ability, and stronger robustness than the existing models for predicting the cyclone separator efficiency in the case with only a few experimental data. [Display omitted] •The geometrical and operating parameters are both considered in modeling.•PCA is used to reduce the eight factors to five factors with minimal information loss.•SVR is used to create models with limited experimental data.•PSO is applied to improve the modeling accuracy.
AbstractList	Accurate prediction of the complicated nonlinear relationship among the grade efficiency, geometrical dimensions, and operating parameters based on limited experimental data is the most effective way to design a high-efficiency cyclone separator. Herein, a hybrid PCA-PSO-SVR model is proposed to predict the grade efficiency of cyclone separators with the operating parameters based on 217 sets of experimental data provided in the literature. The experimental data are preprocessed using the random sampling technique together with the normalization method and principal component analysis (PCA) at first; subsequently, the particle swarm optimization (PSO) algorithm is incorporated to optimize the parameters for the support vector regression (SVR), including the penalty factor C, kernel function parameter g, and insensitive loss ε. Finally, the SVR model with the optimized parameters is trained with 80% pretreatment data, and the generalization ability of the model is tested with the remaining 20% data. The mean squared error of the test sets is 6.948 × 10−4 with a correlation coefficient of 0.982. The comparison results show that the PCA-PSO-SVR model has higher accuracy, better generalization ability, and stronger robustness than the existing models for predicting the cyclone separator efficiency in the case with only a few experimental data. Accurate prediction of the complicated nonlinear relationship among the grade efficiency, geometrical dimensions, and operating parameters based on limited experimental data is the most effective way to design a high-efficiency cyclone separator. Herein, a hybrid PCA-PSO-SVR model is proposed to predict the grade efficiency of cyclone separators with the operating parameters based on 217 sets of experimental data provided in the literature. The experimental data are preprocessed using the random sampling technique together with the normalization method and principal component analysis (PCA) at first; subsequently, the particle swarm optimization (PSO) algorithm is incorporated to optimize the parameters for the support vector regression (SVR), including the penalty factor C, kernel function parameter g, and insensitive loss ε. Finally, the SVR model with the optimized parameters is trained with 80% pretreatment data, and the generalization ability of the model is tested with the remaining 20% data. The mean squared error of the test sets is 6.948 × 10−4 with a correlation coefficient of 0.982. The comparison results show that the PCA-PSO-SVR model has higher accuracy, better generalization ability, and stronger robustness than the existing models for predicting the cyclone separator efficiency in the case with only a few experimental data. [Display omitted] •The geometrical and operating parameters are both considered in modeling.•PCA is used to reduce the eight factors to five factors with minimal information loss.•SVR is used to create models with limited experimental data.•PSO is applied to improve the modeling accuracy.
Author	Zhang, Linlin Yang, Jingxuan Guan, Guoqing Hao, Xiaogang Gao, Zhihua Zhang, Wei
Author_xml	– sequence: 1 givenname: Wei surname: Zhang fullname: Zhang, Wei email: zhangwei01@tyut.edu.cn organization: Department of Chemical Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China – sequence: 2 givenname: Linlin surname: Zhang fullname: Zhang, Linlin organization: Department of Chemical Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China – sequence: 3 givenname: Jingxuan orcidid: 0000-0002-6006-8352 surname: Yang fullname: Yang, Jingxuan organization: Department of Chemical Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China – sequence: 4 givenname: Xiaogang surname: Hao fullname: Hao, Xiaogang organization: Department of Chemical Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China – sequence: 5 givenname: Guoqing orcidid: 0000-0002-5875-3596 surname: Guan fullname: Guan, Guoqing email: guan@hirosaki-u.ac.jp organization: Energy Conversion Engineering Laboratory, Institute of Regional Innovation (IRI), Hirosaki University, 2-1-3, Matsubara, Aomori 030-0813, Japan – sequence: 6 givenname: Zhihua surname: Gao fullname: Gao, Zhihua organization: Key Laboratory Coal Science and Technology, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China
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SubjectTerms	Algorithms Correlation coefficient Correlation coefficients Cyclone separator Cyclone separators Efficiency Experimental data Grade efficiency Kernel functions Mathematical models Model accuracy Model testing Parameters Particle swarm optimization powders prediction Predictions Pretreatment Principal component analysis Principal components analysis Random sampling Regression analysis sampling Separators Statistical sampling Support vector machines Support vector regression algorithm Test sets
Title	An experimental modeling of cyclone separator efficiency with PCA-PSO-SVR algorithm
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