Seoul National University Chemical Process and Product Design Aspen HYSYS : Steady states and Dynamic Simulator (Introduction) Spring Semester, 2014 TA : Ikhyun Kim ([email protected]) Instructor : En Sup Yoon What is PSE? • Process Systems Engineering : – See the BIG picture in the small pieces Finding the right piece and seeing how it fits is the key. Many may look attractive, but they may not answer to our current needs. Chemical Process and Product Design (2/48) Seoul National University Finding the right piece? Chemical Process and Product Design (3/48) Seoul National University What is PSE? • Broad aim of PSE researches Develop efficient method & computer aided tools for Process Synthesis Process Optimization Planning and Scheduling Process Control Safety and Reliability PSE tools & methodologies are routine in many chemical industries Chemical Process and Product Design (4/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • Nonlinear algebraic equations: f (y ) 0 l yu where ∈ is the vector of unknown process variables to be solved for l, ∈ are vectors of upper and lower bounds on the process variables and : ⟶ • Sequential modular strategy is one approach to solving problem especially tailored to the network structure of process flowsheets – Typically simultaneous solution of 100s~100,000s of equations requires an iterative process. Chemical Process and Product Design (5/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • Gaussian’s elimination: – Given a linear system, – Manipulate | to an upper-triangular form – Then, solve backwards from the Chemical Process and Product Design th row according to: (6/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • Example of Gaussian’s elimination: And now… 1, 3, Chemical Process and Product Design 1 (problem solved) (7/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • Will it help if can we break the problem into a sequence of smaller problems? a. If computation time grows super linearly with problem size then solving a sequence of smaller problems is cheaper than solving one big problem b. For example, recall that Gaussian elimination is a cubic function of the number of equations. If we can break the overall problem into two subproblems: 2 2 and a lot less effort is expended in achieving a solution The sequential modular strategy exploits the topology(structure) of the flowsheet to suggest a partitioning and precedence ordering Chemical Process and Product Design (8/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • Solving recycle problems a. d b. ‘ Chemical Process and Product Design (9/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • Solving recycle problems a. b. c. d. e. • Guess S5 Given S1 and S5, solve A for S2 Given S2, solve B for S3 Given S5`, update guess for S5 Repeat from step2 until converged (e.g., S5~S5`=0) Problems – How to select which stream(s) to tear in order to break the cycle – How to update the guess for the torn stream(s) so that the iterative process converges rapidly, and when to terminate the iterative process Chemical Process and Product Design (10/48) Seoul National University Sequential Modular Strategy for S-S Process Simulation • How to update the guess? a. Bisection method - b. Newton’s method (Newton-Raphson method) - c. Linearizing the system using Taylor’s expansion Jacobian matrix of partial dervatives Successive over-relaxation - d. Intermediate value theorem when the multiplicity of system > 1 Secant method / Broyden method(Quasi-Newton method) - Finite difference approximation Chemical Process and Product Design (11/48) Seoul National University Sequential Modular Approach • Features: – Process unit models precoded as subroutines and fixed, and a library made available to the user – Stream structure fixed (e.g. F, T, P) – Solution procedures embedded in subroutines with unit model equations – Inputs and results of unit model calculations (directionality) fixed – given inputs, solve for the outputs. – Hence, sequential solution of units from feed streams to product streams • Problems, what about: – Recycle streams (material or information) – Downstream (design) specifications – Extension to custom models or new technologies Chemical Process and Product Design (12/48) Seoul National University Aspen HYSYS Solvers Chemical Process and Product Design (13/48) Seoul National University Aspen HYSYS Key design elements – Event driven interface – Modular operations – Subflowsheet architecture Multiple environments – Flowsheet – Simulation basis – Oil characterization Interactive Flexible Chemical Process and Product Design Insert Figure (14/48) Seoul National University Aspen HYSYS Environments Chemical Process and Product Design (15/48) Seoul National University Properties Property methods are a collection of models and methods used to describe pure component and mixture behavior • Choosing the correct physical properties is critical for obtaining reliable simulation results 1.0 0.8 0.6 0.4 Raoult’s Law 0.2 0.0 0.0 0.2 0.4 0.6 0.8 Liquid Mole Fraction METHANOL • 1.0 1.0 0.8 0.6 0.4 RK-Soave 0.2 0.0 0.0 0.2 0.4 0.6 0.8 1.0 Vapor Mole Fraction METHANOL • Vapor Mole Fraction METHANOL Use the Properties Specifications form to specify the physical property methods to be used in the simulation Vapor Mole Fraction METHANOL • 1.0 0.8 0.6 0.4 NRTL 0.2 0.0 0.0 0.2 0.4 0.6 0.8 1.0 Liquid Mole Fraction METHANOL Liquid Mole Fraction METHANOL Selecting a Process Type will narrow the number of methods available Chemical Process and Product Design (16/48) Seoul National University Effect of System Thermodynamics • Correct choice of physical property models and accurate physical property parameters are essential for obtaining accurate simulation results OVHD FEED Specification: 99.5 mole % acetone recovery COLUMN BTMS Ideal Approach Equation of State Approach Activity Coefficient Model Predicted number of stages required 11 7 42 Approximate cost ($) 650,000 490,000 1,110,000 Chemical Process and Product Design (17/48) Seoul National University Aspen HYSYS Environments • Via the two main Aspen HYSYS Environments Basic Environment Chemical Process and Product Design Simulation Environment (18/48) Seoul National University Aspen HYSYS Architecture • Basic Environment – – – – Components Property Package (Thermodynamic model) Hypothetical Components Reactions Chemical Process and Product Design (19/48) Seoul National University Aspen HYSYS Architecture Aspen HYSYS Library Components – Over 1800 components in main databank – Search by Simulation name, Full name, Synonym or Formula – Use property package or family filters Aspen Properties Database – Pure component databanks contain over 23000 species – NIST Pure component data and NIST Thermodata Engine (TDE) for improved data fitting and estimation Hypothetical Components – Minimum data entry is one property (NBP, MW, density…) Chemical Process and Product Design (20/48) Seoul National University Choosing a Fluid Package Fluid package sources – HYSYS – Aspen Properties – COMThermo Property model selection – Property Wizard – Aspen HYSYS documentation Parameters – Pure component parameters accessed via Component view – Interaction parameters are available on the Binary Coeffs. tab Chemical Process and Product Design (21/48) Seoul National University Aspen HYSYS Architecture • Simulation Environment – Streams, Unit Operations, Analysis tools, etc. Chemical Process and Product Design (22/48) Seoul National University Aspen HYSYS Color Scheme Values (Variables): Blue: User-specified • Red: Default value • Black: Calculated (or fixed) value • Streams: Light Blue: Not Solved • Dark Blue: Solved • Unit Operations Red: Connection is missing—unable to begin solving • Yellow: Unable to Solve or Solved with Warnings • Black: Solved • Chemical Process and Product Design (23/48) Seoul National University Process Simulation • What information do we need to enter? 1. Fluid Package information a. What components do we have (databank, hypos, assays, etc.) b. What thermodynamic method we will use (EOS, activity models, …) 2. Details of your process a. Unit operations (equations to be solved) b. Process conditions and equipment specifications (defined parameters) Chemical Process and Product Design (24/48) Seoul National University Basic Steps for Simulation • Create a unit set • Select the components Basic Environment • Choose a property package (Thermodynamic model) • Create and Specify the streams Simulation Environment • Install and Define the unit operation prior to the column • Install and Define the column • DOF & Specification Analysis • Analyzing the Result (Case Study, Verification, Optimization, etc.) Chemical Process and Product Design (25/48) Seoul National University The Aspen HYSYS Solver… …is responsible for all steady state calculations in the Aspen HYSYS program …is a non–sequential solver: information can flow forward and backward through the flowsheet …is interactive and uses a Degrees of Freedom analysis to trigger solving of unit operations and streams …tracks all numerical values in Aspen HYSYS according to their source Chemical Process and Product Design (26/48) Seoul National University Reactor Models Reactor [ Balance Based ] [ Equilibrium Based ] [ Kinetics Based ] Yield Shift Reactor Equilibrium Reactor Gibbs Reactor PFR CSTR Conversion Reactor Chemical Process and Product Design (27/48) Seoul National University Balanced Based Reactors • Yield Shift Reactor – Requires a mass balance only, not an atom balance – No reaction stoichiometry required – Is used to simulate reactors in which inlets to the reactor are not completely known but outlets are known • Conversion Reactor – Performs mass balance calculations based on reaction stoichiometry(or conversion) and flashes the outlet stream – Used when reactions kinetics are unknown or unimportant Chemical Process and Product Design (28/48) Seoul National University Equilibrium Based Reactors • Equilibrium Reactor – Computes combined chemical and phase equilibrium by solving reaction equilibrium equations – Useful when there are many components, a few known reactions, and when relatively few components take part in the reactions • Gibbs Reactor – A Gibbs free energy minimization is done to determine the product composition at which the Gibbs free energy of the products is at a minimum – Do not require reactions stoichiometry Chemical Process and Product Design (29/48) Seoul National University Kinetics Based Reactors • CSTR – Use when reaction kinetics are known and when the reactor contents have same properties as outlet stream – Can model equilibrium reactions simultaneously with rate-based reactions • PFR – Handles only rate-based reactions – A cooling stream is allowed – You must provide reactor length and diameter Chemical Process and Product Design (30/48) Seoul National University Heat of Reaction • Heat of reaction need not be provided for reactions • Heat of reaction are typically calculated as the difference between inlet and outlet enthalpies for the reactor • If you have a heat of reaction value that does not match the value calculated by simulator, you can adjust the heats of formation of one or more components to make the heat of reaction match • Heat of reaction can also be calculated or specified at a reference temperature and pressure in an Conversion Reactor Chemical Process and Product Design (31/48) Seoul National University Columns in Aspen HYSYS A column is a specialized sub-flowsheet in Aspen HYSYS Column subflowsheet Main simulation environment Advantages: – Isolated column solver – Optional use of different fluid packages – Construction of custom templates Chemical Process and Product Design (32/48) Seoul National University Column Basics Specifications – Pressure Profile required – The number of additional column operating specifications depends on the complexity, Degrees of Freedom of the system, usually 0-3 – Degrees of Freedom can be tracked on Monitor and Specs page – Active Specs can be entered on Monitor or Specs pages – Estimates can be entered to help with convergence Results – Monitor page contains most results, including convergence – Column Profiles are available on Performance page Chemical Process and Product Design (33/48) Seoul National University Converging a Column 1. All feed streams must be fully solved 2. Never specify product streams directly 3. Activate specs to satisfy Degrees of Freedom analysis 4. Make sure all active specs have a value 5. Balance specifications along the entire tower 6. Click Run to run column solver; reset when necessary Chemical Process and Product Design (34/48) Seoul National University Pre-built Columns (Templates) Absorber: contains only a tray section Degrees of Freedom (DOF) = zero, no additional operating specification can be given Reboiled absorber: contains a tray section and a reboiler DOF = 1, one additional operating specification has to be given Refluxed absorber: contains a tray section and a top condenser – With a total/full reflux condenser DOF = 1 – With a partial condenser DOF = 2 Distillation column: contains a tray section, condenser and reboiler – With a total/full reflux condenser DOF = 2 – With a partial condenser DOF = 3 Side operations add additional Degrees of Freedom Chemical Process and Product Design (35/48) Seoul National University Recycles What is a Recycle operation? – mathematical / logical unit operation Assumed Calculated R When to use a Recycle operation? – Required when downstream material stream(s) mix with upstream material stream(s) and when there is mass I/O across the flowsheet Chemical Process and Product Design (36/48) Seoul National University Adding Recycle Operations (1) Procedure 1 1. Solve flowsheet without recycled stream 2. Add Recycle, and only attach the calculated stream (calculated = estimated) 3. Connect assumed stream to flowsheet 1 2 Chemical Process and Product Design (37/48) Seoul National University Adding Recycle Operations (2) Procedure 2 1. Guess (estimate) assumed stream 2. Solve flowsheet up to calculated stream 3. Add and connect recycle operation 1 3 Chemical Process and Product Design (38/48) Seoul National University Sensitivities in Recycle Operation Sensitivities used in Recycle operation are multipliers to internal convergence tolerances in Aspen HYSYS Aspen HYSYS internal tolerances are: Vapor Fraction Temperature Pressure Flow Enthalpy Composition 0.01 0.01 0.01 0.001 1.00 0.0001 Actual Tolerance = Sensitivity * Internal tolerance Chemical Process and Product Design (39/48) Seoul National University Sensitivities Given a molar flow rate of 100 lbmole/hr Internal tolerance = 0.001 Sensitivity = 10 Absolute tolerance = 100 lbmole/hr * 0.001 * 10 Absolute tolerance = 1 lbmole/hr Recycle is converged if 99 < molar flow < 101 Chemical Process and Product Design (40/48) Seoul National University Tear Locations To minimize the number of tear locations, add recycles – Downstream of gathering points (mixer) – Upstream of distribution points (column, tee, separator) To minimize the number of recycle variables (T, P, etc.) – Choose a tear location that maximizes number of fixed variables – Add recycle operations at separator inlets – Compressor after cooler outlets Choose a stable tear location – To minimize effect of fluctuations Chemical Process and Product Design (41/48) Seoul National University Adding Recycles Which are the physical recycle streams? 6 and 7 Which are the possible tear streams? 6 and 7; 2 and 4; 3 Which is the best choice for the tear stream? The best tear stream choice is stream 3; if this stream is used, you only need to converge one recycle instead of two Chemical Process and Product Design (42/48) Seoul National University Advanced Modeling Exercise 1–A Recycle required? If so, how many? Possible location(s)? Chemical Process and Product Design (43/48) Seoul National University Advanced Modeling Exercise 1–A Recycle required? No – closed loop (no I/O in flowsheet) Chemical Process and Product Design (44/48) Seoul National University Advanced Modeling (2) Exercise 1–B Recycle required? If so, how many? Possible location(s)? Chemical Process and Product Design (45/48) Seoul National University Advanced Modeling (2) Exercise 1–B One stream is on the tube side th e other on the shell side There is no mixing of fluids Recycle required? No – downstream material does not mix upstream Chemical Process and Product Design (46/48) Seoul National University Advanced Modeling (3) Exercise 1–C Recycle required? If so, how many? Possible location(s)? Chemical Process and Product Design (47/48) Seoul National University Advanced Modeling (4) Exercise 1–D Recycle required? If so, how many? Possible location(s)? Chemical Process and Product Design (48/48) Seoul National University
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