SHF:Small:Enhancing Performance and Reliability in On-Chip Power Distribution Networks
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1.Temperature-aware stress-based migration modeling in IC design: Moving from theory to practice
- 关键词:
- Equivalent circuits;Integrated circuit design;Integrated circuit interconnects;Stresses;Timing circuits;'current;'spice';Equivalent RC circuit;Interconnect reliability;Local temperature;Migration modelling;Recent researches;Stress models;Temperature aware;Thermal migration
- Rothe, Susann;Lienig, Jens;Sapatnekar, Sachin S.
- 《AEU - International Journal of Electronics and Communications》
- 2025年
- 200卷
- 期
- 期刊
Recent research has shown that current density-based models for electromigration (EM) lack precision and should be replaced by physics-based hydrostatic stress simulation. While this new approach is widely accepted in the research community, it has not yet found its way into mainstream IC design flows. This paper aims at bringing state-of-the-art stress-based EM modeling into practical IC design by first examining the reasons that prevent the use of stress modeling in today's verification flows, and then proposing solutions that address these obstacles. We present a method for extracting the necessary technology information from standard IC lifetime testing. The stress modeling approach is then used to calculate the lifetime for example structures based on equivalent RC circuits, using common IC design tools. We further verify this approach by implementing reservoirs for extending interconnect lifetime. Additionally, this paper introduces the effect of local temperature variation and its impact on stress evolution. It is shown how equivalent RC circuits can be extended to also model the impact of local temperature on EM. Finally, we implement thermal migration (TM) into the equivalent RC circuits. © 2025 The Authors
...2.An Analytical Solution for Transient Electromigration Stress in Multisegment Straight-line Interconnects Based on a Stress-wave Model
- 关键词:
- Differential equations;Economic and social effects;Integrated circuit interconnects;Power quality;Analytical approach;Damascene Cu;Design Methodology;Dual damascene;Interconnect;Interconnect lines;Modern technologies;Multi-segment;Stress wave;Wave modelling
- Shohel, Mohammad Abdullah Al;Chhabria, Vidya A.;Evmorfopoulos, Nestor;Sapatnekar, Sachin S.
- 《ACM Transactions on Design Automation of Electronic Systems》
- 2025年
- 30卷
- 4期
- 期刊
This work presents an analytical approach for analyzing electromigration (EM) in modern technologies that use copper dual damascene (Cu DD) interconnects. In these technologies, due to design rule and methodology constraints, wires are typically laid out unidirectionally in each metal layer; since EM in Cu DD interconnects do not cross layer boundaries, the problem reduces to one of analyzing EM in multisegment interconnect lines. In contrast with traditional empirical methodologies, our approach is based on physics-based modeling, directly solving the differential equations that model EM-induced stress. This article places a focus on interconnect lines, for reasons described above, and introduces the new concept of boundary reflections of stress flux that ascribes a physical (wave-like) analogy to the transient stress behavior in a finite multisegment line. This framework is used to derive analytical expressions of transient EM stress for lines with any number of segments, which can also be tailored to include the appropriate number of terms for any desired level of accuracy. The approach is applied to both the nucleation phase and the postvoiding phase on large power grid benchmarks. These experiments demonstrate excellent accuracy as compared to accurate numerical solution, as well as linear complexity with the number of segments for evaluating stress at a specified point and time. © 2025 Copyright held by the owner/author(s). Publication rights licensed to ACM.
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