Processe Strategy and Optimization
Keywords |
Classification |
Keyword |
OFICIAL |
Chemical Engineering |
Instance: 2007/2008 - 2S
Cycles of Study/Courses
Teaching language
Portuguese
Objectives
The use of simulation and optimization tools constitutes an undeniable advantage in conducting existing processes and developing new products and processes. Simple personal computers may be used with these adanced tools to attack problems of considerable size.
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.
Unidirectional 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
Simplex method (geometric)
Duality as a decision tool.
Transport problems.
Mandatory literature
T.F. Edgar, D.M. Himmelblau, L.S. Lasdon,; Optimization of Chemical Processes, McGraw-Hill, 2001.
Complementary Bibliography
Romualdo L.R. Salcedo; Problemas de Optimização Não-linear (para resolução em computador), FEUP edições, 2001
Teaching methods and learning activities
Theoretical and problem resolution on every topic. Computer case studies.
Software
Excel, GAMS e MxMSGA
Evaluation Type
Distributed evaluation with final exam
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Subject Classes |
Participação presencial |
70,00 |
|
|
|
Total: |
- |
0,00 |
|
Eligibility for exams
Cumulatively class attendance under legal terms and attendance grade (CF) at least 10/20.
Evaluation components (graded for 20)
• Attendance grade (CF) obtained by weightr average of home work by group of 4 students (CTG) + teacher opinion during classes(OP).
• Writen individual exam (EFEI - minimum required of 30%) with allowed bibliography, using calculators, for a maximum of 2.5 hours.
Calculation formula of final grade
How to calculate attendance grade (CF) and final grade(CLASS_FINAL)
• CF = 0,80 * CTG + 0,20 * OP
• CLASS_FINAL = 0,40 * CF + 0,60 * EFEI
Examinations or Special Assignments
Group work to be performed on week 14.05 and delievery on 21.05
Classification improvement
Individual and global exam, similar in structure, but not in content, to the final individual test.