Title :
DC IR drop solver for large scale 3D power delivery networks
Author :
Xie, Jianyong ; Swaminathan, Madhavan
Author_Institution :
Interconnect & Packaging Center (IPC), Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
In this paper, DC IR drop simulation of 3D power delivery network (PDN) based on finite volume method with nonuniform grid is presented. Location-dependent resistivity is taken into account in the finite volume formulation which enables simulation of power delivery network with inhomogeneous resistivity. The generated system equation Yx = b is solved using the conjugate gradient (CG) method with a diagonal pre-conditioner. One large scale 3D integration example is simulated, and the results show that by employing the diagonal pre-conditioner and using the symmetric property of the impedance matrix Y, the conjugate gradient method based DC IR drop solver can solve large 3D DC IR drop problem with more than 10 million unknowns with 3 GB memory.
Keywords :
conjugate gradient methods; finite volume methods; integrated circuit design; matrix algebra; power supply circuits; 3D PDN; DC IR drop solver; conjugate gradient method; diagonal preconditioner; finite volume method; impedance matrix; large scale 3D power delivery network; location-dependent resistivity; symmetric property; Conductivity; Equations; Mathematical model; Resistance; Solid modeling; Symmetric matrices; Three dimensional displays; DC IR drop; conjugate gradient (CG) method; finite volume method; preconditioner; thourgh silicon via (TSV);
Conference_Titel :
Electrical Performance of Electronic Packaging and Systems (EPEPS), 2010 IEEE 19th Conference on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-6865-2
Electronic_ISBN :
978-1-4244-6866-9
DOI :
10.1109/EPEPS.2010.5642582
