Strategy of Process Engineering
Instance: 2006/2007 - 1S
Cycles of Study/Courses
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.