Nonlinear control based on wave model of high-purity heat integrated air separation column

Abstract An instant wave velocity based on the wave profile trial function is derived for the heat integrated air separation column (HIASC), which can describe the concentration distribution and can also reflect the change of concentration wave profile. A nonlinear wave model of the high-purity HIASC is further established to replace the complex first-principle model. Combined with the proposed wave model, a novel generic model control scheme (Wave-GMC) is carried out, which is compared with another generic model controller based on data-driven model (Data-GMC) and a multi-loop PID (M-PID) scheme. In both servo control and regulatory control, Wave-GMC exhibits the best performances. Detailed research results confirm the efficiency of the proposed wave model and the advantages of the proposed Wave-GMC control scheme.

[1]  F. Helfferich,et al.  Non-linear waves in chromatography III. Multicomponent Langmuir and Langmuir-like systems , 1997 .

[2]  B. Wayne Bequette,et al.  Design and Control of an Elevated-Pressure Air Separations Unit for IGCC Power Plants in a Process Simulator Environment , 2013 .

[3]  Lin Cong,et al.  High-purity control of internal thermally coupled distillation columns based on nonlinear wave model , 2011 .

[4]  René Gislum,et al.  Selection of representative calibration sample sets for near-infrared reflectance spectroscopy to predict nitrogen concentration in grasses , 2012 .

[5]  Mats F. Sågfors,et al.  Multivariable control of ill-conditioned distillation columns utilizing process knowledge , 1998 .

[6]  Lawrence Megan,et al.  Dynamic modeling and linear model predictive control of gas pipeline networks , 2001 .

[7]  Maroun Nemer,et al.  A real column design exergy optimization of a cryogenic air separation unit , 2012 .

[8]  Yng-Long Hwang,et al.  Nonlinear waves and asymmetric dynamics of countercurrent separation processes , 1989 .

[9]  Xinggao Liu,et al.  Non-equilibrium stage based modeling of heat integrated air separation columns , 2014 .

[10]  X. Tan,et al.  Highly stable La0.6Sr0.4Co0.2Fe0.8O3−δ hollow fibre membrane for air separation swept by steam or steam mixture , 2015 .

[11]  Youxian Sun,et al.  Generalized generic model control of high‐purity internal thermally coupled distillation column based on nonlinear wave theory , 2013 .

[12]  Wolfgang Marquardt.  NONLINEAR MODEL REDUCTION FOR BINARY DISTILLATION , 1986 .

[13]  Richard S.H. Mah,et al.  Distillation with secondary reflux and vaporization: A comparative evaluation , 1977 .

[14]  Bart De Schutter,et al.  Modeling, analysis, and simulation of a cryogenic distillation process for 13C isotope separation , 2012 .

[15]  Masaru Nakaiwa,et al.  Operating an ideal heat integrated distillation column with different control algorithms , 1998 .

[16]  Kai Sundmacher,et al.  Modelling and dynamics of an air separation rectification column as part of an IGCC power plant , 2006 .

[17]  Liang Chang,et al.  Modeling, Characteristic Analysis, and Optimization of Ideal Internal Thermally Coupled Air Separation Columns , 2012 .

[18]  Prodromos Daoutidis,et al.  Nonlinear model reduction and control for high-purity distillation columns , 2003 .

[19]  R. M. Youssef,et al.  Simultaneous determination of ternary drug mixtures using square wave polarography subjected to non-parametric and chemometric peak convolution , 2008 .

[20]  Myungwan Han,et al.  Design and Control of a Reactive Distillation Column Based on a Nonlinear Wave Propagation Theory: Production of Terephthalic Acid , 2010 .

[21]  Xinggao Liu,et al.  Dynamics and control of high purity heat integrated distillation columns , 2005 .

[22]  Myungwan Han,et al.  Profile position control of batch distillation based on a nonlinear wave model , 2000 .

[23]  Xinggao Liu,et al.  Modeling and Behavior Analyses of Internal Thermally Coupled Air Separation Columns , 2011 .

[24]  Subhabrata Ray,et al.  Nonlinear control of high purity distillation column under input saturation and parametric uncertainty , 2009 .

[25]  Lawrence Megan,et al.  Low-order dynamic modeling of cryogenic distillation columns based on nonlinear wave phenomenon , 2001 .

[26]  Anna Skorek-Osikowska,et al.  A comparative thermodynamic, economic and risk analysis concerning implementation of oxy-combustion power plants integrated with cryogenic and hybrid air separation units , 2015 .

[27]  Junghui Chen,et al.  Enhanced air gap membrane desalination by novel finned tubular membrane modules , 2011 .

[28]  Steffen Heinze.  Traveling waves in combustion processes with complex chemical networks , 1987 .

[29]  Sanket A. Kulkarni,et al.  Comparison of model-based and conventional controllers on a pilot-scale heat exchanger. , 2013, ISA transactions.

[30]  Lawrence Megan,et al.  Dynamic compartmental modeling of nitrogen purification columns , 2005 .

[31]  Michael A. Henson,et al.  Measurement selection for on-line estimation of nonlinear wave models for high purity distillation columns , 2006 .

[32]  Tao Chen,et al.  Interpretation of non-linear empirical data-based process models using global sensitivity analysis , 2011 .

[33]  Roman M. Balabin,et al.  Comparison of linear and nonlinear calibration models based on near infrared (NIR) spectroscopy data for gasoline properties prediction , 2007 .

[34]  Dale E. Seborg,et al.  Dyanmic compartmental models for separation processes , 1986 .

[35]  Jixin Qian,et al.  Modeling, Control, and Optimization of Ideal Internal Thermally Coupled Distillation Columns , 2000 .

[36]  Junghui Chen,et al.  Methodology of data reconciliation and parameter estimation for process systems with multi-operating conditions , 2014 .

[37]  Roy E. Bruns,et al.  An application of chemometric techniques to analyze the effects of the wave function modifications on the intermolecular stretching frequencies of the hydrogen-bonded complexes , 2004 .

[38]  Y. Hwang,et al.  Nonlinear wave theory for dynamics of binary distillation columns , 1991 .

[39]  Sigurd Skogestad,et al.  Optimal operation of Petlyuk distillation: steady-state behavior , 1999 .

[40]  Rakesh Agrawal,et al.  Energy Efficiency Limitations of the Conventional Heat Integrated Distillation Column (HIDiC) Configuration for Binary Distillation , 2011 .

[41]  Liang Chang,et al.  Sidestream Analysis and Optimization of Full Tower Internal Thermally Coupled Air Separation Columns , 2014 .

[42]  Achim Kienle,et al.  Equilibrium theory and nonlinear waves for reactive distillation columns and chromatographic reactors , 2004 .

[43]  Achim Kienle,et al.  Low-order dynamic models for ideal multicomponent distillation processes using nonlinear wave propagation theory , 2000 .

[44]  W. Luyben,et al.  Improving Agility of Cryogenic Air Separation Plants , 2008 .

[45]  In-Beum Lee,et al.  Nonlinear regression using RBFN with linear submodels , 2003 .

[46]  Signe Kjelstrup,et al.  Improving the Heat Integration of Distillation Columns in a Cryogenic Air Separation Unit , 2011 .

[47]  Amiya K. Jana,et al.  Nonlinear adaptive control algorithm for a multicomponent batch distillation column , 2007 .

[48]  Lin Cong,et al.  Nonlinear wave modeling and dynamic analysis of internal thermally coupled distillation columns , 2012 .

[49]  Nikita Basant,et al.  Linear and nonlinear modeling for simultaneous prediction of dissolved oxygen and biochemical oxygen demand of the surface water — A case study , 2010 .

[50]  Xinggao Liu,et al.  Nonlinear dynamic behaviors and control based on simulation of high-purity heat integrated air separation column. , 2015, ISA transactions.

[51]  B. Suphanit,et al.  Design of internally heat-integrated distillation column (HIDiC): Uniform heat transfer area versus uniform heat distribution , 2010 .

[52]  Amiya K. Jana,et al.  A partially heat integrated reactive distillation: Feasibility and analysis , 2009 .

[53]  Masaru Nakaiwa,et al.  Parameter analysis and optimization of ideal heat integrated distillation columns , 2001 .

[54]  William L. Luyben.  Profile position control of distillation columns with sharp temperature profiles , 1972 .

[55]  William L. Luyben,et al.  Design and Control of a Fully Heat-Integrated Pressure-Swing Azeotropic Distillation System , 2008 .