A multiscale thermal modeling methodology is reported for multienclosure electronic cabinets incorporating thermoelectric cooling. A multilayer compact model for a thermoelectric module is used in combination with a reduced-order fluid flow model for a single enclosure, constructed using proper orthogonal decomposition with a flux-matching technique. A reduction by an order of magnitude of 105 in the degrees of freedom of the system, with an accuracy better than 92%, is achieved. An entire cabinet consisting of multiple enclosures is modeled by combining the compact subsystem models, with an estimation error of less than 10%.
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Nie et al. (2007) studied this question.
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