process_models

process_models - Dynamic Process Models 1. Conversion...

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Unformatted text preview: Dynamic Process Models 1. Conversion between model types 2. Nonlinear model linearization 3. State-space models 4. Transfer function models 5. Matlab/Simulink examples Conversion Between Model Types First Principles Model Linearization State-Space Model Transfer Function Model Laplace transform Realization Linear Nonlinear Theoretical Process Models Conservation equations Fundamental basis for model development Mass, energy and momentum conservation Nonlinear ODEs Constitutive equations Semi-empirical relations required to complete model Reaction rates, heat transfer rates, etc. Nonlinear algebraic equations Parameter estimation Needed to determine unknown parameters Reaction rate constants, heat transfer coefficients, etc. Yields parameter values that best fit available data Focus of ChE 361 Nonlinear Model Linearization Nonlinear ODE model Find steady-state point Linearize about steady-state point Yields linear ODE model in deviation form Covered in ChE 361 R u R x u x f dt dx = ) , ( ) , ( u x f = ' ' ' ' ) , ( ' ) , ( ) , ( bu ax u u f x x f u x f dt dx u x u x + + + 2245 Isothermal CSTR Example Nonlinear ODE model Find steady-state point ) , ( ) ( 2 2 Af A A A Af A k C C f kC C C V q dt dC B A =-- = 1 2 3 1 ) 1 )( 2 ( ) 2 )(...
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process_models - Dynamic Process Models 1. Conversion...

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