Pollutant monitoring in tail gas of sulfur recovery unit with statistical and soft computing models

Abstract In this article, data-driven models are developed for real time monitoring of sulfur dioxide and hydrogen sulfide in the tail gas stream of sulfur recovery unit (SRU). Statistical [partial least square (PLS), ridge regression (RR) and Gaussian process regression (GPR)] and soft computing models are constructed from plant data. The plant data were divided into training and validation sets using Kennard-Stone algorithm. All models are developed from the training data set. PLS model is designed using SIMPLS algorithm. Three different ridge parameter selection techniques are used to design the RR model. GPR model is designed using four hyper parameter selection methods. The soft computing models include fuzzy and neuro-fuzzy models. Prediction accuracy of all models is assessed by simulation with validation dataset. Simulation results show that the GPR model designed with marginal log likelihood maximization method has good prediction accuracy and outperforms the performance of all other models. The developed GPR model is also found to yield better prediction accuracy than some other models of the SRU proposed in the literature.

[1]  Yanhui Yang,et al.  Response surface methodology using Gaussian processes : towards optimizing the trans-stilbene epoxidation over Co 2 +-NaX catalysts , 2009 .

[2]  William J. Welch,et al.  Computer-aided design of experiments , 1981 .

[3]  Jie-Sheng Wang,et al.  D-FNN based soft-sensor modeling and migration reconfiguration of polymerizing process , 2013, Appl. Soft Comput..

[4]  Salah Bouhouche,et al.  Inferential sensor-based adaptive principal components analysis of mould bath level for breakout defect detection and evaluation in continuous casting , 2015, Appl. Soft Comput..

[5]  Zhiqiang Ge,et al.  Spatio‐temporal adaptive soft sensor for nonlinear time‐varying and variable drifting processes based on moving window LWPLS and time difference model , 2016 .

[6]  Zhiqiang Ge,et al.  Quality prediction for polypropylene production process based on CLGPR model , 2011 .

[7]  Ping Wang,et al.  Supervised local and non-local structure preserving projections with application to just-in-time learning for adaptive soft sensor , 2015 .

[8]  S. Graziani,et al.  Stacking approaches for the design of a soft sensor for a Sulfur Recovery Unit , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[9]  Hare Krishna Mohanta,et al.  A Survey of Data Treatment Techniques for Soft Sensor Design , 2011 .

[10]  Jiong Shen,et al.  Multi-model strategy based evidential soft sensor model for predicting evaluation of variables with uncertainty , 2011, Appl. Soft Comput..

[11]  Arthur E. Hoerl,et al.  Ridge Regression: Biased Estimation for Nonorthogonal Problems , 2000, Technometrics.

[12]  Luigi Fortuna,et al.  Soft Sensors for Monitoring and Control of Industrial Processes (Advances in Industrial Control) , 2006 .

[13]  Weiming Shao,et al.  Adaptive soft sensor for quality prediction of chemical processes based on selective ensemble of local partial least squares models , 2015 .

[14]  Hare Krishna Mohanta,et al.  Development and comparison of neural network based soft sensors for online estimation of cement clinker quality. , 2013, ISA transactions.

[15]  Weiming Shao,et al.  Semi-supervised selective ensemble learning based on distance to model for nonlinear soft sensor development , 2017, Neurocomputing.

[16]  S. D. Jong SIMPLS: an alternative approach to partial least squares regression , 1993 .

[17]  Carl E. Rasmussen,et al.  Gaussian Processes for Machine Learning (GPML) Toolbox , 2010, J. Mach. Learn. Res..

[18]  Haralambos Sarimveis,et al.  INFERENTIAL SENSORS FOR ON-LINE MONITORING OF TISSUE MACHINE QUALITY PROPERTIES , 2001 .

[19]  Xuefeng Yan,et al.  Modified nonlinear generalized ridge regression and its application to develop naphtha cut point soft sensor , 2008, Comput. Chem. Eng..

[20]  Dexian Huang,et al.  Probabilistic slow feature analysis‐based representation learning from massive process data for soft sensor modeling , 2015 .

[21]  Francis J. Doyle,et al.  Neural network-based software sensor: training set design and application to a continuous pulp digester , 2005 .

[22]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[23]  Saeid Shokri,et al.  Combination of data rectification techniques and soft sensor model for robust prediction of sulfur content in HDS process , 2016 .

[24]  Yanhui Yang,et al.  Response surface methodology using Gaussian processes: Towards optimizing the trans-stilbene epoxidation over Co2+-NaX catalysts , 2010 .

[25]  B. M. Kibria,et al.  Performance of Some New Ridge Regression Estimators , 2003 .

[26]  Hare Krishna Mohanta,et al.  Online monitoring and control of particle size in the grinding process using least square support vector regression and resilient back propagation neural network. , 2015, ISA transactions.

[27]  Aki Vehtari,et al.  GPstuff: Bayesian modeling with Gaussian processes , 2013, J. Mach. Learn. Res..

[28]  Furong Gao,et al.  Bayesian migration of Gaussian process regression for rapid process modeling and optimization , 2011 .

[29]  Hare Krishna Mohanta,et al.  Online monitoring of cement clinker quality using multivariate statistics and Takagi-Sugeno fuzzy-inference technique , 2016 .

[30]  Donald W. Marquaridt Generalized Inverses, Ridge Regression, Biased Linear Estimation, and Nonlinear Estimation , 1970 .

[31]  Barry M. Wise,et al.  The process chemometrics approach to process monitoring and fault detection , 1995 .

[32]  B. Kowalski,et al.  Partial least-squares regression: a tutorial , 1986 .

[33]  Nenad Bolf,et al.  Continuous estimation of kerosene cold filter plugging point using soft sensors , 2013 .

[34]  Bogdan Gabrys,et al.  Data-driven Soft Sensors in the process industry , 2009, Comput. Chem. Eng..

[35]  Ying Liu,et al.  Soft computing for overflow particle size in grinding process based on hybrid case based reasoning , 2015, Appl. Soft Comput..

[36]  Marija Savić,et al.  ANFIS-Based Prediction of the Decomposition of Sodium Aluminate Solutions in the Bayer Process , 2016 .

[37]  G. Khalaf,et al.  Choosing Ridge Parameter for Regression Problems , 2005 .

[38]  Fernando di Sciascio,et al.  Biomass estimation in batch biotechnological processes by Bayesian Gaussian process regression , 2008, Comput. Chem. Eng..

[39]  K. Mardia,et al.  Maximum likelihood estimation of models for residual covariance in spatial regression , 1984 .

[40]  Zhiqiang Ge,et al.  Semisupervised Bayesian method for soft sensor modeling with unlabeled data samples , 2011 .

[41]  Ping Wang,et al.  Soft sensor development for nonlinear and time-varying processes based on supervised ensemble learning with improved process state partition , 2015 .

[42]  Zhiqiang Ge,et al.  Nonlinear Soft Sensor Development Based on Relevance Vector Machine , 2010 .

[43]  Radford M. Neal Monte Carlo Implementation of Gaussian Process Models for Bayesian Regression and Classification , 1997, physics/9701026.

[44]  S. Graziani,et al.  A deep learning based soft sensor for a sour water stripping plant , 2017, 2017 IEEE International Instrumentation and Measurement Technology Conference (I2MTC).

[45]  S. Graziani,et al.  Soft Sensor design for a Sulfur Recovery Unit using Genetic Algorithms , 2007, 2007 IEEE International Symposium on Intelligent Signal Processing.

[46]  Mian M. Awais,et al.  Predicting weather events using fuzzy rule based system , 2011, Appl. Soft Comput..

[47]  Luigi Fortuna,et al.  SOFT ANALYSERS FOR A SULFUR RECOVERY UNIT , 2002 .

[48]  G. Wahba Spline models for observational data , 1990 .

[49]  Dexian Huang,et al.  Data-driven soft sensor development based on deep learning technique , 2014 .

[50]  Yan Wang,et al.  Prediction of effluent quality of a paper mill wastewater treatment using an adaptive network-based fuzzy inference system , 2011, Appl. Soft Comput..

[51]  Ajaya Kumar Pani,et al.  Inferential Sensing of Output Quality in Petroleum Refinery Using Principal Component Regression and Support Vector Regression , 2017, 2017 IEEE 7th International Advance Computing Conference (IACC).

[52]  G. Uma,et al.  ANFIS based sensor fault detection for continuous stirred tank reactor , 2011, Appl. Soft Comput..

[53]  David J. C. MacKay,et al.  Bayesian Interpolation , 1992, Neural Computation.

[54]  Nenad Bolf,et al.  SOFT SENSORS FOR SPLITTER PRODUCT PROPERTY ESTIMATION IN CDU , 2011 .

[55]  Mohammad Hamiruce Marhaban,et al.  Application of Image Processing and Adaptive Neuro-fuzzy System for Estimation of the Metallurgical Parameters of a Flotation Process , 2016 .

[56]  Theodora Kourti,et al.  Process analysis, monitoring and diagnosis, using multivariate projection methods , 1995 .

[57]  Farid Melgani,et al.  Gaussian Process Regression for Estimating Chlorophyll Concentration in Subsurface Waters From Remote Sensing Data , 2010, IEEE Geoscience and Remote Sensing Letters.

[58]  Geoffrey E. Hinton,et al.  Evaluation of Gaussian processes and other methods for non-linear regression , 1997 .

[59]  Jan Nahlik,et al.  Process state classification of fed-batch fermentation based on process variables analysis , 2016 .

[60]  Ana Casali,et al.  Particle size distribution soft-sensor for a grinding circuit , 1998 .

[61]  Zhong Cheng,et al.  Optimal online soft sensor for product quality monitoring in propylene polymerization process , 2015, Neurocomputing.