Efficient inductance extraction via windowing

We propose a new, efficient and accurate localized inductance modeling technique via windowing in a manner that is analogous to localized capacitance extraction. The stability and accuracy of this process is made possible by twice inverting the localized inductance models, and in the process exploiting properties of the magnetostatic interactions as modeled via the susceptance (inverse inductance). Application of these localized double-inverse inductance models to actual IC bus examples demonstrates the significant improvement in simulation efficiency and overall accuracy as compared to alternative methods of approximation and simplification.

[1]  William H. Press,et al.  Numerical Recipes in C, 2nd Edition , 1992 .

[2]  Gene H. Golub,et al.  Matrix computations , 1983 .

[3]  K. A. Semendyayev,et al.  Handbook of mathematics , 1985 .

[4]  Lawrence T. Pileggi,et al.  Electromagnetic parasitic extraction via a multipole method with hierarchical refinement , 1999, 1999 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (Cat. No.99CH37051).

[5]  Hao Ji,et al.  How to efficiently capture on-chip inductance effects: introducing a new circuit element K , 2000, IEEE/ACM International Conference on Computer Aided Design. ICCAD - 2000. IEEE/ACM Digest of Technical Papers (Cat. No.00CH37140).

[6]  J. R. Yee,et al.  A model and algorithm for interconnecting two WANs , 1990, 1990 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings.

[7]  F. H. Branin,et al.  Computer Analysis of Nonlinear Circuits, Excluding Radiation (CANCER) , 1971 .

[8]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[9]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[10]  M. Brereton Classical Electrodynamics (2nd edn) , 1976 .

[11]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[12]  L. Nagel,et al.  Computer analysis of nonlinear circuits, excluding radiation (CANCER) , 1971 .

[13]  A. E. Ruehii Inductance Calculations in a Complex Integrated Circuit Environment , 2002 .

[14]  Lawrence T. Pileggi,et al.  IC analyses including extracted inductance models , 1999, DAC '99.

[15]  William H. Press,et al.  Numerical recipes in C , 2002 .