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On Tuning Passive Black-Box Macromodels of LTI Systems via Adaptive Weighting

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Scientific Computing in Electrical Engineering

Part of the book series: Mathematics in Industry ((TECMI,volume 23))

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Abstract

This paper discusses various approaches for tuning the accuracy of rational macromodels obtained via black-box identification or approximation of sampled frequency responses of some unknown Linear and Time-Invariant system. Main emphasis is on embedding into the model extraction process some information on the nominal terminations that will be connected to the model during normal operation, so that the corresponding accuracy is optimized. This goal is achieved through an optimization based on a suitably defined cost function, which embeds frequency-dependent weights that are adaptively refined during the model construction. A similar procedure is applied in a postprocessing step for enforcing model passivity. The advantages of proposed algorithm are illustrated on a few application examples related to power distribution networks in electronic systems.

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References

  1. Swaminathan, M., Engin, A.E.: Power Integrity Modeling and Design for Semiconductors and Systems. Prentice Hall, Englewood Cliffs, NJ (2007)

    Google Scholar 

  2. Swaminathan, M., Kim, J., Novak, I., Libous, J.P.: Power distribution networks for system-on-package: status and challenges. IEEE Trans. Adv. Packag. 27(2), 286–300 (2004)

    Article  Google Scholar 

  3. Su, H., Sapatnekar, S.S.; Nassif, S.R.: Optimal decoupling capacitor sizing and placement for standard-cell layout designs. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 22(4), 428–436 (2003)

    Article  Google Scholar 

  4. Swaminathan, M., Chung, D., Grivet-Talocia, S., Bharath, K., Laddha, V., Xie, J.: Designing and modeling for power integrity. IEEE Trans. Electromagn. Compat. 52(2), 288–310 (2010)

    Article  Google Scholar 

  5. Kose, S., Friedman, E.G.: Distributed on-chip power delivery. IEEE J. Emerging Sel. Top. Circuits Syst. 2(4), 704–713 (2012)

    Article  Google Scholar 

  6. Gustavsen, B., Semlyen, A.: Rational approximation of frequency responses by vector fitting. IEEE Trans. Power Delivery 14(3), 1052–1061 (1999)

    Article  Google Scholar 

  7. Deschrijver, D., Haegeman, B., Dhaene, T.: Orthonormal vector fitting: a robust macromodeling tool for rational approximation of frequency domain responses. IEEE Trans. Adv. Packag. 30(2), 216–225 (2007)

    Article  Google Scholar 

  8. Deschrijver, D., Mrozowski, M., Dhaene, T., De Zutter, D.: Macromodeling of multiport systems using a fast implementation of the vector fitting method. IEEE Microwave Wireless Compon. Lett. 18(6), 383–385 (2008)

    Article  Google Scholar 

  9. Chinea, A., Grivet-Talocia, S.: On the parallelization of vector fitting algorithms. IEEE Trans. Compon. Packag. Manuf. Technol. 1(11), 1761–1773 (2011)

    Article  Google Scholar 

  10. Grivet-Talocia, S., Olivadese, S.B., Triverio, P.: A compression strategy for rational macromodeling of large interconnect structures, EPEPS 2011, San Jose, CA, pp. 53–56, October 23–26, 2011

    Google Scholar 

  11. Coelho, C.P., Phillips, J., Silveira, L.M.: A Convex programming approach for generating guaranteed passive approximations to tabulated frequency-data. IEEE Trans. CAD 23(2), 293–301 (2004)

    Article  Google Scholar 

  12. Grivet-Talocia, S.: Passivity enforcement via perturbation of Hamiltonian matrices. IEEE Trans. CAS-I 51(9), 1755–1769 (2004)

    Article  MathSciNet  Google Scholar 

  13. Saraswat, D., Achar, R., Nakhla, M.: Global passivity enforcement algorithm for macromodels of interconnect subnetworks characterized by tabulated data. IEEE Trans. VLSI Syst. 13(7), 819–832 (2005)

    Article  Google Scholar 

  14. Grivet-Talocia, S., Ubolli, A.: On the generation of large passive macromodels for complex interconnect structures. IEEE Trans. Adv. Packag. 29(1), 39–54 (2006)

    Article  Google Scholar 

  15. Gustavsen, B., Semlyen, A.: Enforcing passivity for admittance matrices approximated by rational functions. IEEE Trans. Power Syst. 16(1), 97–104 (2001)

    Article  Google Scholar 

  16. Grivet-Talocia, S., Ubolli, A., Bandinu, M., Chinea, A.: An iterative reweighting process for macromodel extraction of power distribution networks. In: IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS 2013), San Jose, CA, pp. 125–128, October 27–30, 2013

    Google Scholar 

  17. Ubolli, A., Grivet-Talocia, S., Bandinu, M., Chinea, A.: Sensitivity-based weighting for passivity enforcement of linear macromodels in power integrity applications. In: DATE 2014 - Design, Automation and Test in Europe, Dresden, Germany, pp. 1–6, March 24–28, 2014

    Google Scholar 

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Correspondence to Stefano Grivet-Talocia .

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Grivet-Talocia, S., Ubolli, A., Chinea, A., Bandinu, M. (2016). On Tuning Passive Black-Box Macromodels of LTI Systems via Adaptive Weighting. In: Bartel, A., Clemens, M., Günther, M., ter Maten, E. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry(), vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-30399-4_17

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