GPU-Accelerated Effective Resistance Analysis for 3D IC Power Delivery Network

By Jingchao Hu, Cheng Zhuo, Zhou Jin
College of Integrated Circuit, Zhejiang University

Abstract

Three-dimensional (3D) integration is a critical technique for enhancing transistor density, improving power efficiency, and reducing interconnect delays. However, as current demands and design complexity increase, power deliver networks (PDNs) are facing growing challenges. Careful planning of through-silicon vias (TSVs) is essential for ensuring reliable PDNs, where effective resistance serves as a vital metric for the reliability. Ill-planned TSVs often cause 3D IC with unevenly distributed effective resistance and consequently severer IR Drop. In this paper, we propose a GPU-accelerated framework on accurate effective resistance analysis for early stage 3D IC PDNs. The proposed framework achieves a speedup of 5 to 6 orders of magnitude compared to the conventional direct solver, while maintaining negligible deviations in both maximum and average relative errors.

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