A node clustering reduction scheme for power grids electrothermal analysis

Alessandro Magnani (1) , M. de Magistris (1) , Antonio Maffucci (2) , Aida Todri-Sanial (3)

1 Laboratorio di Scienze Ambientali “R.Sartori”
2 Department of Electrical and Information Engineering
3 SysMIC - Conception et Test de Systèmes MICroélectroniques

This paper presents a new technique to lower the computational cost of the electrothermal (ET) analysis of a large on-chip power distribution network. It is based on a node reduction strategy following a preliminary efficient steady-state solution of the ET problem. After a proper classification of nodes according to temperature and voltage drop ranges, a reduced network is then produced by means of clustering and topological network transformations, and is available for any static/dynamic analysis. Due to the achievable reduction ratios, it possible to lower by order of magnitudes the computational cost at very good accuracies. A case-study is provided where a power grid of 4 millions of nodes is reduced by a factor of 180 (electrical network) and 500 (thermal network).

Mots clés: network topology; Model order reduction; Electrothermal analysis; Thermal resistance; Temperature distribution; IR-drop; Integrated circuit modeling; Power grids; Steady-state; topological network transformations; Heating; power grid electrothermal analysis; on-chip power distribution network; node reduction strategy; node clustering reduction; computational cost reduction; thermal analysis; thermal management (packaging); On-chip power distribution networks; Integrated circuit packaging; Integrated circuit interconnections; Integrated circuit design

Domaines: Micro et nanotechnologies/Microélectronique

Alessandro Magnani, M. de Magistris, Antonio Maffucci, Aida Todri-Sanial. A node clustering reduction scheme for power grids electrothermal analysis. SPI: Signal and Power Integrity, May 2015, Berlin, Germany. ⟨10.1109/SaPIW.2015.7237399⟩. ⟨lirmm-01248589⟩