Abstract
This work describes a simulation package for detailed studies of biasing networks for bipolar transistors. A sophisticated transistor model is introduced which captures many second-order effects, but which causes convergence difficulties for many existing methods used for computing an operating point. Artificial parameter numerical continuation techniques are introduced, then, as a robust and efficient means of solving bias networks employing our model. Sensitivity studies and natural parameter continuation studies based on the computed operating point (or points) are also discussed.
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References
Lj. Trajković, R.C. Melville, and S.C. Fang, “Passivity and no-gain properties establish global convergence of a homotopy method for DC operating points,” inProc. IEEE Int. Symp. on Circuits and Systems, New Orleans, LA., 1990.
Lj. Trajković, R.C. Melville, and S.C. Fang, “Finding DC operating points of transistor circuits using homotopy methods,” inProc. IEEE Int. Symp. on Circuits and Systems, Singapore, 1991.
Lj. Trajković, R.C. Melville, and S.C. Fang, “Improving DC convergence in a circuit simulator using a homotopy method,” inIEEE Custom Integrated Circuits Conf., San Diego, CA, 1991.
C.B. Garcia and W.I. Zangwill,Pathways to Solutions, Fixed Points, and Equilibria, Englewood Cliffs, NJ: Prentice-Hall, pp. 1–23, 1981.
E.L. Allgower and K. Georg,Numerical Continuation Methods: An Introduction, Springer-Verlag, 1990.
S.L. Richter and R.A. DeCarlo, “Continuation methods: theory and applications,”IEEE Trans. Circuits Syst., Vol. CAS-30, pp. 347–352, 1983.
C.W. Ho, A.E. Ruehli, and P.A. Brennan, “The modified nodal approach to network analysis,”IEEE Trans. Circuits Syst., Vol. CAS-22, pp. 504–509, 1975.
J.M. Ortega and W.C. Rheinboldt,Iterative Solutions of Nonlinear Equations in Several Variables, Academic Press: New York, pp. 161–165, 1969.
A. Sard, “The measure of the critical values of differential maps,”Bull. Amer. Math. Soc., Vol. 48, pp. 883–890, 1942.
S. Chow, J. Mallet-Paret, and J.A. Yorke, “Finding zeroes of maps: homotopy methods that are constructive with probability one,”Math. Comp., Vol. 32, No. 143, pp. 887–899, 1978.
L. Watson, S. Billups, and A. Morgan, “ALGORITHM 652 HOMPACK: a suite of codes for globally convergent homotopy algorithms,”ACM Trans. Math. Software, Vol. 13, No. 3, pp. 281–310, 1987.
L.T. Watson, “Numerical linear algebra aspects of globally convergent homotopy methods,”SIAM Rev., Vol. 28, pp. 529–545, 1986.
W. Rheinboldt and J.V. Burkhardt, “A locally parameterized continuation process,”ACM TOMS, Vol. 9, No. 2, pp. 215–235, 1983.
R. Seydel,From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis, Elsevier: New York, 1988.
Lj. Trajković and A.N. Willson, Jr., “Behavior of nonlinear transistor one-ports: things are not always as simple as might be expected,” in30th Midwest Symp. Circuits and Systems, Syracuse, New York, 1988.
R.E. Bank and D.J. Rose, “Global approximate Newton methods,”Numer. Math., Vol. 37, pp. 279–295, 1981.
L.O. Chua and A. Ushida, “A switching-parameter algorithm for finding multiple solutions of nonlinear resistive circuits,”Int. J. Circuit Theory Appl., Vol. 4, pp. 215–239, 1976.
F.H. Brannin, “Widely convergent methods for finding multiple solutions of simultaneous nonlinear equations,”IBM J. Res. Dev., pp. 504–522, Sept. 1972.
I. Diener, “On the global convergence of path-following methods to determine all solutions to a system of nonlinear equations,”Math. Program., Vol. 39, pp. 181–188, 1987.
J. Gan and Y.M. Song, “All DC solutions to nonlinear circuits,” inProc. IEEE Int. Symp. Circuits and Systems, New Orleans, LA., pp. 918–921, 1990.
G. Wettlaufer and W. Mathis, “Finding all DC-equilibrium points of nonlinear circuits,” inProc. 32nd Midwest Symp. Circuits and Systems, Urbana, IL, 1989.
A.P. Browkaw, “A simple three-terminal IC bandgap reference,”IEEE J. Solid-State Circuits, Vol. SC-9, pp. 388–393, 1974.
T. Banwell, “An NPN voltage reference,”IEEE J. Solid-State Circuits, Vol. 26, 1991.
P.R. Gray and R.G. Mayer,Analysis and Design of Analog Integrated Circuits, 2nd ed. Wiley: New York, 1984.
H.K. Gummel and H.C. Poon, “An integral charge control model of bipolar transistors,”BSTJ, Vol. 49, pp. 827–852, 1970.
G.M. Kull, L.W. Nagel, S.W. Lee, P. Lloyd, E.J. Prendergast, and H. Dirks, “Unified circuit model for bipolar transistors including quasi-saturation effects,”IEEE Trans. Electron Dev., Vol. ED32, No. 6, pp. 1103–1113, 1985.
B.W. McNeil, “A high-frequency complementary-bipolar array for fast analog circuits,” inCICC 87 Digest of Technical Papers, pp. 635–638, March 1987.
S. Moinian, M.A. Brooke, and J.C. Choma, “BITPAR: a process derived bipolar transistor parameterization,”IEEE J. Solid-State Circuits, Vol. SC-21, No. 2, pp. 344–352, 1986.
I.M. Early, “Effects of space-charge layer widening in junction transistors,”Proc. IRE, Vol. 40, pp. 1401–1406, 1952.
S.W. Director and R.A. Rohrer, “Automated network design—the frequency domain case,”IEEE Trans. Circuit Theory, Vol. CT-16, pp. 330–337, 1969.
R.A. Rohrer, L. Nagel, R. Meyer, and L. Weber, “Computationally efficient electronic circuit noise calculations,”IEEE J. Solid-State Circuits, Vol. SC-6, pp. 204–213, 1971.
A. Griewank, “On automatic differentiation,” inMathematical Programming: Recent Developments and Applications (M. Iri and K. Tanabe, eds.), KTK Scientific/Kluwer Academic Publishers, 1989.
L.B. Rall, “Automatic differentiation: techniques and applications,” inLecture Notes in Computer Science, No. 120, Springer, 1981.
B. Speelpenning, “Compiling fast partial derivatives of functions given by algorithms,” Ph.D. Dissertation, Department of Computer Science, University of Illinois at Urbana Campaign, 1980.
B. Stroustrup,The C++Programming Language, Addison-Wesley, 1986.
I. Getreu,Modeling the Bipolar Transistor, Tektronix, Inc., Beaverton, Oregon, pp. 9–23, 1976.
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Melville, R., Moinian, S., Feldmann, P. et al. Sframe: An efficient system for detailed DC simulation of bipolar analog integrated circuits using continuation methods. Analog Integr Circ Sig Process 3, 163–180 (1993). https://doi.org/10.1007/BF01239359
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DOI: https://doi.org/10.1007/BF01239359