Dynamic optimization of the load change of a large-scale chemical plant by adaptive single shooting

Dynamic optimization allows for the determination of the upper bound of achievable performance in the operation of continuous chemical processes in transient operation which often results from load or grade changes. Performance assessment can rely on the computation of optimal trajectories for selected scenarios which properly reflect the operational envelope. Realistic industrial problems, however, involve very large-scale dynamic process models and consequently require highly-efficient and robust optimization algorithms. In this work we demonstrate the feasibility of operability assessment by means of dynamic optimization in an industrial case study involving a large-scale process model comprising about 12,000 differential-algebraic model equations. The numerical strategy employed relies on a single shooting method combined with adaptive control grid refinement to minimize the complexity of the numerical problem to the extent possible. This algorithm proves to be the key to success and saves about 95% of computational complexity in comparison to a conventional equidistant discretization.

[1]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[2]  Wolfgang Dahmen,et al.  On the regularization of dynamic data reconciliation problems , 2002 .

[3]  Johannes P. Schlöder,et al.  An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Part 1: theoretical aspects , 2003, Comput. Chem. Eng..

[4]  W. Marquardt,et al.  Sensitivity analysis of linearly-implicit differential-algebraic systems by one-step extrapolation , 2004 .

[5]  W. Dahmen Wavelet and multiscale methods for operator equations , 1997, Acta Numerica.

[6]  Johannes P. Schlöder,et al.  An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization: Part II: Software aspects and applications , 2003, Comput. Chem. Eng..

[7]  M. C. Colantonio,et al.  Dynamic optimization of large scale systems: Case study , 1999 .

[8]  Martin Grötschel,et al.  Online optimization of large scale systems , 2001 .

[9]  Wolfgang Dahmen,et al.  Introduction to Model Based Optimization of Chemical Processes on Moving Horizons , 2001 .

[10]  W. Dahmen,et al.  Iterative Algorithms for Multiscale State Estimation, Part 1: Concepts , 2001 .

[11]  Wolfgang Dahmen,et al.  Iterative Algorithms for Multiscale State Estimation, Part 2: Numerical Investigations , 2001 .

[12]  Wolfgang Marquardt,et al.  Dynamic optimization using adaptive control vector parameterization , 2005, Comput. Chem. Eng..

[13]  Parisa A. Bahri,et al.  Operability considerations in chemical processes: A switchability analysis , 1997 .

[14]  I. David L. Bogle,et al.  Design of nonminimum phase processes for optimal switchability , 2004 .

[15]  Stefan Feuerriegel,et al.  Parallel sensitivity analysis for efficient large-scale dynamic optimization , 2011 .

[16]  W. Luyben Dynamics and control of recycle systems. 1. Simple open-loop and closed-loop systems , 1993 .

[17]  Victor M. Zavala,et al.  Optimization-based strategies for the operation of low-density polyethylene tubular reactors: Moving horizon estimation , 2009, Comput. Chem. Eng..

[18]  Lorenz T. Biegler,et al.  Large scale optimization strategies for zone configuration of simulated moving beds , 2008, Comput. Chem. Eng..

[19]  James B. Rawlings,et al.  Optimizing Process Economic Performance Using Model Predictive Control , 2009 .