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Research Update

Research Update. Seon Kim Laboratory of Product and Process Design University of Illinois at Chicago 2010, April 8th. Research Progress. Semester Plan Paper 4: Rigorous Separation Synthesis : Part II – Exhaustive / Comprehensive Network Design (100%) ESCAPE Papers (100%)

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Research Update

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  1. Research Update Seon Kim Laboratory of Product and Process Design University of Illinois at Chicago 2010, April 8th

  2. Research Progress Semester Plan • Paper 4: Rigorous Separation Synthesis : Part II – Exhaustive / Comprehensive Network Design (100%) • ESCAPE Papers (100%) • Robust Thermodynamically-guided Algorithms for Synthesis of Energy Efficient Separation Networks • Integration of Design and Control for a large scale flowsheet • Draft report: Fully Automatic Energy Efficient complex Network Optimization (30%) • Optimization with GA solver • Optimization with NLP solver • Optimization with Parametric Interpolation • Refinery reference research • Biofuel separation reference research (20%) • REU/RET Activity • Computer hardware / Webpage maintenance

  3. Research updates Weeks 9 to 10 • Parametric curve fitting to find minimum for the selected region of BPD • Matlab coding to find multiple surface of BPD for complex column • REU application review and selection status

  4. Selected region of BPD surface

  5. Selected region of BPD surface

  6. Quadratic Spline Interpolation Quadratic spline curve of n-degree, n+1 real data points; P1=(1, 10) P2=(1.2, 5) P3=(3, 7) P1=(1, 10) P2=(2.8, 5) P3=(3, 7) P1=(1, 10) P2=(2, 5) P3=(3, 7)

  7. Bezier Curve Bezier curve of n-degree, n+1 real data points; where, nCi is binomial coefficient, , and Pi are points Ex) Quadratic Bezier curve: Cubic Bezier curve : P1=(1, 10) P2=(1.5, 7) P3=(2, 5) P4=(2.5 6) P5=(3, 7) P1=(1, 10) P2=(1.5, 7) P3=(2, 5) P4=(3, 7) P1=(1, 10) P2=(2, 5) P3=(3, 7)

  8. Flowchart to find minimum BPD with interpolation

  9. BPD BPT, oC reflux

  10. Quadratic Spline Interpolation A A C BPD B B BPT, oC reflux C

  11. Parametric polynomial root finding A C A B C' C BPD C' B BPT, oC reflux

  12. Iteration 1 C A A' B C‘ C BPD A' C' B BPT, oC reflux

  13. 9 iterations to find mininum BPD • Stop criterion(ε) of Δr: 1e-4 A B' B C Stop criterion(ε) of Δr: 1e-4

  14. A B A B C BPD BPT, oC reflux C

  15. BPD BPT, oC reflux

  16. Results of three scenarios

  17. Bezier curve

  18. Problem Description (Minimum root roci)

  19. Problem description • Non-convex problem • Non-derivative problem • Optimization Scheme • Non-convex optimization • Non-derivative optimization • Least update with real data • Global optimization with adaptive sampling and local optimizer • Adaptive sampling candidates • Controlled random search • Genetic Algorithm • Simulated annealing • Neural algorithm • Local optimizer candidates • Nelder & Mead Simplex method • Parametric quadratic polynomial root finding

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