Adjoint transient sensitivity analysis in circuit simulation

Z. Ilievski, H. Xu, A. Verhoeven, E.J.W. Maten, ter, W.H.A. Schilders, R.M.M. Mattheij

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Abstract

Sensitivity analysis is an important tool that can be used to assess and improve the design and accuracy of a model describing an electronic circuit. Given a model description in the form of a set of differential-algebraic equations it is possible to observe how a circuit's output reacts to varying input parameters, which are introduced at the requirements stage of design. In this paper we consider the adjoint method more closely. This method is efficient when the number of parameters is large.We extend the transient sensitivity work of Petzold et al., in particular we take into account the parameter dependency of the dynamic term.We also compare the complexity of the direct and adjoint sensitivity and derive some error estimates. Finally we sketch out how Model Order Reduction techniques could be used to improve the efficiency of adjoint sensitivity analysis.
Original languageEnglish
Title of host publicationProceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania
EditorsG. Ciuprina, D. Ioan
Place of PublicationBerlin
PublisherSpringer
Pages183-189
ISBN (Print)978-3-540-71979-3
DOIs
Publication statusPublished - 2007
Eventconference; SCEE 2006, Sinaia, Romania; 2006-09-17; 2006-09-22 -
Duration: 17 Sep 200622 Sep 2006

Publication series

NameMathematics in Industry
Volume11
ISSN (Print)1612-3956

Conference

Conferenceconference; SCEE 2006, Sinaia, Romania; 2006-09-17; 2006-09-22
Period17/09/0622/09/06
OtherSCEE 2006, Sinaia, Romania

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    Ilievski, Z., Xu, H., Verhoeven, A., Maten, ter, E. J. W., Schilders, W. H. A., & Mattheij, R. M. M. (2007). Adjoint transient sensitivity analysis in circuit simulation. In G. Ciuprina, & D. Ioan (Eds.), Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania (pp. 183-189). (Mathematics in Industry; Vol. 11). Springer. https://doi.org/10.1007/978-3-540-71980-9_18