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Strategy of Process Engineering

Code: EQ531     Acronym: EQ531

Instance: 2006/2007 - 1S

Active? Yes
Responsible unit: Department of Chemical and Biological Engineering
Course/CS Responsible: Chemical Engineering

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
LEQ 41 Plano de estudos de transição para 2006/07 5 6 6 -

Teaching language

Portuguese

Objectives

The main objective is to provide students with the necessary skills to attack process problems under their simulation and optimization points of view.
We hope that students gain aptitudes to establish information flow diagrams for large-scale systems, to formulate appropriate objective functions and constraints, and to obtain optimum solutions under an equation-oriented environment.

Program

General structure
Sensitivity analysis

System decomposition and local degrees of freedom.
Information flow diagrams vs. PFD
Decomposition algorithm of Lee, Christensen and Rudd.
Global degrees of freedom.
Persisten recycling.
MxMSGA algorithm.

Necessary stationarity conditions and N/S conditions for local minimum.
Lagrange multipliers and equality constraints.
KKT conditions for the general constrained problem.
N/S conditions for the global optimum. Convex functions and convex regions.

Univariate optimization: interval (golden section) and point (Powell) methods.

Uniderictional search in multivariate problems. Recurrent function.
Gradient-based methods
How to choose the optimum step size.
Second-order Newton-Raphson method.
Marcquart’s extension.
Hessian approximations.
Living with constraints (penalty functions and other)
Local minima and feasibility.

GAMS and Excel

Linear programming
Transportation and resource allocation
Simplex method (geometric and algebraic)
Duality as a decision tool.

Mandatory literature

Edgar, Thomas F.; Optimization of chemical processes. ISBN: 0-07-039359-1
Press, William; Numerical recipes in Fortran 77. ISBN: 0-521-4364-X
Salcedo, Romualdo L. R.; Problemas de optimização não-linear. ISBN: 972-752-049-9

Complementary Bibliography

Rudd, Dale F.; Strategy of Process Engineering
Flystra, D., L. Lasdon, J. Watson e A. Warren; Design and use of the Microsoft excel solver, Interfaces
Salcedo, R. e R. Lima; On the optimum choice of decision variables for equation-oriented global optimization

Teaching methods and learning activities

Theoretical and problem resolution on every topic. Computer case studies

Software

Excel. Gams e Matrix

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description Type Time (hours) Weight (%) End date
Subject Classes Participação presencial 56,00
Total: - 0,00

Eligibility for exams

Cumulatively class attendance under legal terms

Calculation formula of final grade

Equal to 60% classification in the final exam and 40% classification in group work

Examinations or Special Assignments

group work to be developed in week to be determined

Classification improvement

Individual and global exam, similar to the final individual test.

Observations

This is a course that needs knowledgefrom various chem. Eng. Core courses, from numerical methods to basic separation and reaction engineering.
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