Abstract
Due to the temperature-dependent resistivity of power distribution network (PDN) interconnects, a wiser and necessary strategy is to proceed the electrical–thermal cosimulation in order to include the thermal effects caused by Joule heating. As a natural domain decomposition method (DDM), in this article, a discontinuous Galerkin (DG) method is proposed to facilitate the steady-state electrical and thermal coanalysis. With the intention to avoid solving a globally coupled steady-state matrix system equations resulted from the implicit numerical flux in DG, the block Thomas method is deployed to solve the entire domain in a subdomain-by-subdomain scheme. As a direct solver, the block Thomas method is free of convergence problem frequently occurring in iterative methods, such as block Gauss–Seidel method. The capability of the proposed DG method in handling multiscale and complex 3-D PDNs is validated by several representative examples.
Highlights
T HE continuing decrease in DC supplied voltage to the chips and switching circuits requires more efforts in managing the ripple across the power distribution network (PDN) [1], while the ever rising integration capacity increases the current density, which brought significant challenges to the design of power delivery network (PDN) in order to achieve the intended power integrity (PI) as well as the signal integrity (SI) performance
For the DC-IR drop analysis, both the electrical and the thermal equations are in a steady-state, the numerical flux used for information exchange is in an implicit form, resulting in a globally coupled matrix equation, which dramatically complicates the problem
The whole computational domain is firstly tessellated into a number of non-overlapping subdomains in a nested sequence, and the system matrix equation can be formulated into a block tridiagonal matrix system where the upper and the lower blocks resulted from the incoming numerical flux represent couplings between the neighboring subdomains, and the block Thomas method [14] is applied to solve the implicitly coupled matrix system in a subdomain by subdomain scheme
Summary
DC IR-Drop Analysis of Multilayered Power Distribution Network by Discontinuous Galerkin Method with Thermal Effects Incorporated. IEEE Transactions on Components, Packaging and Manufacturing Technology, 1–1. As a natural domain decomposition method (DDM), in this work, a discontinuous Galerkin (DG) method is proposed to facilitate the steady-state electrical and thermal co-analysis. With the intention to avoid solving a globally coupled steady-state matrix system equations resulted by the implicit numerical flux in DG, the block Thomas method is deployed to solve the entire domain in a subdomain by subdomain scheme.
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