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Overview of SPICE-like circuit simulation algorithms

Overview of SPICE-like circuit simulation algorithms
Overview of SPICE-like circuit simulation algorithms

A tutorially orientated account of the principles underlying circuit level simulation forms the basis for discussing reliability of circuit level simulation. An outline of equation formulation and time discretisation of the equations is followed by consideration of stability of the numerical integration methods. The precision of simulation, which also depends on the integration methods used, is then discussed, with particular reference to the analysis parameters of the SPICE simulator. A descriptive account of the Newton-Raphson method of solving the nonlinear algebraic equations, derived from the discretised differential equations, is then presented again with relation to SPICE parameters. The reasons for convergence failure in both transient and DC simulation are related to the underlying principles of simulation and possible ill conditioning of the circuit. The paper includes some simple simulation examples of problematic situations.

1350-2409
242-250
Nichols, K. G.
a080b7aa-c92f-4d60-b2a7-904b0d316eaa
Kazmierski, T. J.
a97d7958-40c3-413f-924d-84545216092a
Zwolinski, M.
adfcb8e7-877f-4bd7-9b55-7553b6cb3ea0
Brown, A. D.
5c19e523-65ec-499b-9e7c-91522017d7e0
Nichols, K. G.
a080b7aa-c92f-4d60-b2a7-904b0d316eaa
Kazmierski, T. J.
a97d7958-40c3-413f-924d-84545216092a
Zwolinski, M.
adfcb8e7-877f-4bd7-9b55-7553b6cb3ea0
Brown, A. D.
5c19e523-65ec-499b-9e7c-91522017d7e0

Nichols, K. G., Kazmierski, T. J., Zwolinski, M. and Brown, A. D. (1994) Overview of SPICE-like circuit simulation algorithms. IEE Proceedings: Circuits, Devices and Systems, 141 (4), 242-250. (doi:10.1049/ip-cds:19941246).

Record type: Article

Abstract

A tutorially orientated account of the principles underlying circuit level simulation forms the basis for discussing reliability of circuit level simulation. An outline of equation formulation and time discretisation of the equations is followed by consideration of stability of the numerical integration methods. The precision of simulation, which also depends on the integration methods used, is then discussed, with particular reference to the analysis parameters of the SPICE simulator. A descriptive account of the Newton-Raphson method of solving the nonlinear algebraic equations, derived from the discretised differential equations, is then presented again with relation to SPICE parameters. The reasons for convergence failure in both transient and DC simulation are related to the underlying principles of simulation and possible ill conditioning of the circuit. The paper includes some simple simulation examples of problematic situations.

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Published date: August 1994

Identifiers

Local EPrints ID: 475671
URI: http://eprints.soton.ac.uk/id/eprint/475671
ISSN: 1350-2409
PURE UUID: cb9159a7-a7a6-4c64-b220-80f210511f7d
ORCID for M. Zwolinski: ORCID iD orcid.org/0000-0002-2230-625X

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Date deposited: 23 Mar 2023 17:49
Last modified: 17 Mar 2024 02:35

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Contributors

Author: K. G. Nichols
Author: T. J. Kazmierski
Author: M. Zwolinski ORCID iD
Author: A. D. Brown

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