Modal vector fitting: A tool for generating rational models of high accuracy with arbitrary terminal conditions

IEEE Transactions on Advanced Packaging

Volumn 31, Issue 4, 2008, Pages 664-672

  Gustavsen, Bjørn ^a   Heitz, Christoph ^b  

^a SINTEF ENERGY RESEARCH   (Norway)

^b ZURICH UNIVERSITY OF APPLIED SCIENCES   (Switzerland)

Author keywords

Interconnect; Macromodel; Passivity; Pole residue model; Rational model; State space model; Vector fitting

Indexed keywords

CONSTRAINT THEORY; CURVE FITTING; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC CABLES; PASSIVATION; PERTURBATION TECHNIQUES; POLES; PORT TERMINALS; TELECOMMUNICATION CABLES; VECTORS;

INTERCONNECT; MACROMODEL; PASSIVITY; RATIONAL MODEL; STATE-SPACE MODEL; VECTOR FITTING;

CONSTRAINED OPTIMIZATION;

EID: 57749091882     PISSN: 15213323     EISSN: None     Source Type: Journal    
DOI: 10.1109/TADVP.2008.927810     Document Type: Conference Paper

References (17)

1. E. C. Levi, "Complex-curve fitting," IRE Trans. Autom. Control, vol. AC-4, pp. 37-44, 1959.
2. C. K. Sanathanan and J. Koerner, "Transfer function synthesis as a ratio of two complex polynomials," IEEE Trans. Autom. Control, vol. AC-8, no. 1, pp. 56-58, Jan. 1963.
3. C. P. Coelho, J. R. Phillips, and L. M. Silveira, "Generating high-accuracy simulation models using problem-tailored orthogonal polynomials basis," IEEE Trans. Circuits Syst. I, vol. 53, no. 12, pp. 2705-2714, Dec. 2006.
4. B. Gustavsea and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Del., vol. 14, no. 3, pp. 1052-1061, Jul. 1999.
5. S. Grivet-Talocia, "Package macromodeling via time-domain vector fitting," IEEE Microw. Wireless Compon. Lett., vol. 13, no. 11, pp. 472-474, Nov. 2003.
6. B. Gustavsen, "Improving the pole relocating properties of vector fitting," IEEE Trans. Power Del., vol. 21, no. 3, pp. 1587-1592, Jul. 2006.
7. D. Deschrijver, B. Haegeman, and T. Dhaene, "Orthonormal vector fitting: A robust macromodeling tool for rational approximation of frequency domain responses," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 216-225, May 2007.
8. B. Gustavsen and C. Heitz, "Rational modeling of multi-port systems by modal vector fitting," in Proc. 11th IEEE Workshop Signal Propagation Interconnects, Genova, Italy, May 13-16, 2007, pp. 49-52.
9. V. Brandwajn, "Modifications of user's instructions for "MARTI SETUP"," EMTP Newsletter, vol. 3, no. 1, pp. 76-80, Aug. 1982.
10. B. Gustavsen, "Fast delay-less interconnect macromodeling and simulation by assumption of a constant eigenvector matrix," in Proc. 12th IEEEWorkshop Signal Propagation Interconnects, May 2008, pp. 1-4.
11. B. Gustavsen and A. Semlyen, "Enforcing passivity for admittance matrices approximated by rational functions," IEEE Trans. Power Syst., vol. 16, no. 1, pp. 97-104, Feb. 2001.
12. D. Saraswat, R. Achar, and M. Nakhla, "A fast algorithm and practical considerations for passive macromodeling of measured/simulated data," IEEE Trans. Adv. Packag., vol. 27, no. 1, pp. 57-70, Feb. 2004.
13. S. Grivet-Talocia, "Passivity enforcement via perturbation of hamiltonian matrices," IEEE Trans. Circuits Syst. I, Fundam. Theor. Appl., vol. 51, no. 9, pp. 1755-1769, Sep. 2004.
14. B. Gustavsen, "Computer code for passivity enforcement of rational macromodels by residue perturbation," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 209-215, May 2007.
15. S. Grivet-Talocia, "Passivity enforcement with relative error control," IEEE Trans. Microwave Theory Tech., vol. 55, no. 11, pp. 2374-2383, Nov. 2007.
16. B. Gustavsen, "Fast passivity enforcement of rational macromodels by perturbation of residue matrix eigenvalues," in Proc. 11th IEEE Workshop Signal Propagation Interconnects, Genova, Italy, May 13-16, 2007, pp. 71-74.
17. B. Gustavsen, "Frequency-dependent modeling of power transformers with ungrounded windings," IEEE Trans. Power Del., vol. 19, no. 3, pp. 1328-1334, Jul. 2004.