MatEx: Efficient transient and peak temperature computation for compact thermal models

Santiago Pagani, Jian Jia Chen, Muhammad Shafique, Jorg Henkel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In many core systems, run-time scheduling decisions, such as task migration, core activations/deactivations, voltage/frequency scaling, etc., are typically used to optimize the resource usages. Such run-time decisions change the power consumption, which can in turn result in transient temperatures much higher than any steady-state scenarios. Therefore, to be thermally safe, it is important to evaluate the transient peaks before making resource management decisions. This paper presents a method for computing these transient peaks in just a few milliseconds, which is suited for run-time usage. This technique works for any compact thermal model consisting in a system of first-order differential equations, for example, RC thermal networks. Instead of using regular numerical methods, our algorithm is based on analytically solving the differential equations using matrix exponentials and linear algebra. This results in a mathematical expression which can easily be analyzed and differentiated to compute the maximum transient temperatures. Moreover, our method can also be used to efficiently compute all transient temperatures for any given time resolution without accuracy losses. We implement our solution as an open-source tool called MatEx. Our experimental evaluations show that the execution time of MatEx for peak temperature computation can be bounded to no more than 2.5 ms for systems with 76 thermal nodes, and to no more than 26.6 ms for systems with 268 thermal nodes, which is three orders of magnitude faster than the state-of-the-art for the same settings.

Original languageEnglish (US)
Title of host publicationProceedings of the 2015 Design, Automation and Test in Europe Conference and Exhibition, DATE 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1515-1520
Number of pages6
ISBN (Electronic)9783981537048
DOIs
StatePublished - Apr 22 2015
Event2015 Design, Automation and Test in Europe Conference and Exhibition, DATE 2015 - Grenoble, France
Duration: Mar 9 2015Mar 13 2015

Publication series

NameProceedings -Design, Automation and Test in Europe, DATE
Volume2015-April
ISSN (Print)1530-1591

Other

Other2015 Design, Automation and Test in Europe Conference and Exhibition, DATE 2015
CountryFrance
CityGrenoble
Period3/9/153/13/15

ASJC Scopus subject areas

  • Engineering(all)

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