Transcript Optimization for Transient Thermo

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Thermal Modes for the Optimisation
of Transient Thermo-Mechanics
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Johann Dugge – MSc
Presentation – 09 November 2012
Prof.dr.ir. A. van Keulen (TU Delft)
Ir. M. Koevoets (ASML)
Ir. E.C. Hooijkamp (TU Delft)
Dr.ir. R. Delfos (TU Delft)
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Presentation Outline
• Motivation
• Research Question
• Cooling Optimisation
• Conclusion
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Nano-Scale Features in Electronics
20 nm
Images: ASML, etech.com, Intel, Wikipedia
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Positioning (ideal)
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Positioning (with deformation)
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Transient Thermal Stresses
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Transient Thermal Stresses
𝚫𝐱
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Cooling
Uniform
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Cooling
Optimised
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Optimisation Process
Propose
No
START
Test
Sufficient?
Yes
END
Smart way to propose
new designs?
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Research Question
How can thermal modes
be used to optimise cooling
in a transient thermo-mechanical system?
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Thermal Modes
Temperature Field
Deformation
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Thermal Modes
Temperature Field
Deformation
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Thermal Modes
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Thermal Modes
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Modal Reduction
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Modal Significance Measures
Excitation
=
𝜂 =0.7
𝜂 =1
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𝜂 =0.0
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Modal Significance Measures
Observability (in the objective)
O=0.01
O=-5
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Modal Significance Measures
Time-objective Relevance
time
0.5 s
r=0.001
r=50
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Modal Significance Measure
Total Significance
Excitation
Observability
Time-objective
Relevance
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Modal Reduction using
Modal Significance Measures
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Optimised Cooling
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Optimised Cooling
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Optimisation Convergence
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Optimised Cooling
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Conclusion
How can thermal modes
be used to optimise cooling
in a transient thermo-mechanical system?
• Modal reduction technique.
• Potentially low-cost sensitivity indicators.
• Investigate heuristics.
• Use in modal sensitivity analysis.
• Reduced set of design variables.
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Next Steps
• Sensitivity indicators
• (systematic experiments, analytical solution)
• Use in eigensensitivity analysis
• Modal reduction
• Estimate error from objective significance measures?
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Thank You!
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