Skip to main content

EM Assessment for Power Grid Networks

  • Chapter
  • First Online:
Book cover Long-Term Reliability of Nanometer VLSI Systems

Abstract

Continuous increase in the die size accompanied by reduction of the metal line cross sections and, hence by increase of the current densities governed by a technology scaling, results in an increasingly difficult EM signoff when the traditional EM checking approaches are employed. In these approaches, the EM-induced failure rates of the individual interconnect lines are considered as a measure of EM-induced reliability and, in the extreme end, a mean time to failure (MTTF) of the weakest segment is accepted as a measure for the whole chip lifetime. It results in a very conservative design rules for the current densities that can be used in the chip design for a particular technology node in order to avoid EM failure.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. S. Chatterjee, M.B. Fawaz, F.N. Najm, Redundancy-aware electromigration checking for mesh power grids, in Proceedings of the International Conference on Computer Aided Design (ICCAD) (IEEE, Piscataway, 2013), pp. 540–547

    Google Scholar 

  2. R.M. Christensen, Mechanics of Composite Materials—Richard M. Christensen—Google Books (Dover Publication, New York, 2005)

    Google Scholar 

  3. W. Huang, M.R. Stan, K. Skadron, Parameterized physical compact thermal modeling. IEEE Trans. Compon. Packag. Technol. 28(4), 615–622 (2005)

    Article  Google Scholar 

  4. X. Huang, A. Kteyan, S.X.-D. Tan, V. Sukharev, Physics-based electromigration models and full-chip assessment for power grid networks. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 35(11), 1848–1861 (2016)

    Article  Google Scholar 

  5. M.A. Korhonen, P. Bo/rgesen, K.N. Tu, C.-Y. Li, Stress evolution due to electromigration in confined metal lines. J. Appl. Phys. 73(8), 3790–3799 (1993)

    Article  ADS  Google Scholar 

  6. K.-D. Lee, Electromigration recovery and short lead effect under bipolar- and unipolar-pulse current, in IEEE International Reliability Physics Symposium (IRPS) (IEEE, Piscataway, 2012), pp. 6B.3.1–6B.3.4

    Google Scholar 

  7. V. Mishra, S.S. Sapatnekar, The impact of electromigration in copper interconnects on power grid integrity, in 2013 50th ACM/EDAC/IEEE Design Automation Conference (DAC) (IEEE, Piscataway, 2013), pp. 1–6

    Google Scholar 

  8. S.R. Nassif, Power grid analysis benchmarks, in Proceedings of the Asia South Pacific Design Automation Conference (ASPDAC) (IEEE, Piscataway, 2008), pp. 376–381

    Google Scholar 

  9. A. Sridhar, A. Vincenzi, M. Ruggiero, T. Brunschwiler, D.A. Alonso, 3D-ICE: fast compact transient thermal modeling for 3D-ICs with inter-tier liquid cooling, in Proceedings International Conference on Computer Aided Design (ICCAD) (IEEE, Piscataway, 2010), pp. 463–470

    Google Scholar 

  10. V. Sukharev, X. Huang, S.X.-D. Tan, Electromigration induced stress evolution under alternate current and pulse current loads. J. Appl. Phys. 118, 034504 (2015)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Tan, S., Tahoori, M., Kim, T., Wang, S., Sun, Z., Kiamehr, S. (2019). EM Assessment for Power Grid Networks. In: Long-Term Reliability of Nanometer VLSI Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-26172-6_7

Download citation

Publish with us

Policies and ethics