Title :
Optimization under uncertainty for electronics cooling design applications
Author :
Bodla, Karthik K. ; Murthy, Jayathi Y. ; Garimella, Suresh V.
Author_Institution :
Sch. of Mech. Eng. & Birck Nanotechnol. Center, Purdue Univ., West Lafayette, IN, USA
fDate :
May 30 2012-June 1 2012
Abstract :
Optimization under uncertainty is a powerful methodology used in design and optimization to produce robust, reliable designs. Such an optimization methodology, employed when the input quantities of interest are uncertain, yields output uncertainties that help the designer choose appropriate values for input parameters to produce safe designs. Apart from providing basic statistical information such as mean and standard deviation in the output quantities, uncertainty-based optimization produces auxiliary information such as local and global sensitivities. The designer may thus decide the input parameter(s) to which the output quantity of interest is most sensitive, and thereby design better experiments based on just the most sensitive input parameter(s). Another critical output of such a methodology is the solution to the inverse problem, i.e, finding the allowable uncertainty (range) in the input parameter(s), given an acceptable uncertainty (range) in the output quantities of interest. We apply optimization under uncertainty to the problem of heat transfer in fin heat sinks with uncertainties in geometry and operating conditions. The analysis methodology is implemented using DAKOTA, an open source design and analysis kit. A response surface is first generated which captures the dependence of the quantity of interest on inputs. This response surface is then used to perform both deterministic and probabilistic optimization of the heat sink, and the results of the two approaches are compared.
Keywords :
cooling; heat sinks; optimisation; response surface methodology; DAKOTA analysis methodology; analysis kit; deterministic optimization; electronics cooling design; fin heat sinks; global sensitivity; heat transfer; inverse problem; mean deviation; open source design; optimization under uncertainty; probabilistic optimization; response surface methology; standard deviation; statistical information; yield output uncertainty; Convergence; Heat transfer; Mathematical model; Optimization; Polynomials; Uncertainty; DAKOTA; Uncertainty quantification; design of experiments; electronics cooling; generalized polynomial chaos; heat transfer; optimization under uncertainty; sensitivity analysis;
Conference_Titel :
Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm), 2012 13th IEEE Intersociety Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
978-1-4244-9533-7
Electronic_ISBN :
1087-9870
DOI :
10.1109/ITHERM.2012.6231558