A clustering technique for fast electrothermal analysis of on-chip power distribution networks

Abstract : This paper presents an equivalent self-consistent electrothermal circuit model for power integrity analysis of large on-chip power distribution networks. Two coupled circuits are used to co-simulate the electrical and thermal behavior of the power grid. After a steady-state analysis, the order of the circuit is strongly reduced by means of a node clustering technique. The obtained low-order circuit allows a cost-effective complete power integrity analysis, including dynamic analysis and evaluation of time-domain features like voltage droop. As a case-study, a 45-nm chip power grid is analyzed: the full circuit for the electrothermal model with 4 million nodes is reduced by a factor of about 3500×, with a relative error on the solution below few percent.
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Alessandro Magnani, Massimiliano De Magistris, Antonio Maffucci, Aida Todri-Sanial. A clustering technique for fast electrothermal analysis of on-chip power distribution networks. SPI: Signal and Power Integrity, May 2016, Turin, Italy. pp.1-4, ⟨10.1109/SaPIW.2016.7496292⟩. ⟨lirmm-01446283⟩

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