Equivalence in sensitivity calculation between direct differentiation and the method based on Tellegen's theorem

1 January 1977

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 65 (11) , 1602-1603
https://doi.org/10.1109/proc.1977.10774

Abstract

The concept of an adjoint network together with Tellegen's theorem has been-extensively used in deriving network sensitivity formulas both in analog circuits and digital filters. However, a direct differentiation of the network or signal-flow graph equations leads exactly to the same algorithm. The equivalence between the two methods is shown and simultaneously the unnecessary complexity of the derivation of the sensitivity formulas, when using Tellegen's theorem and the adjoint network, is emphasized.

Keywords

DIFFERENTIAL EQUATIONS
ANALOG CIRCUITS
INTELLIGENT NETWORKS
YTTRIUM
NONLINEAR EQUATIONS
ADMITTANCE MEASUREMENT
CURRENT MEASUREMENT
Q MEASUREMENT
VOLTAGE MEASUREMENT
CURRENT SUPPLIES

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