Invariant sums of higher order sensitivities

2010

Circuit Theory & Apps

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SUMMARYThe aim of the research reported in this paper is to extend the notion of invariant sensitivity sum, widely known for electrical networks, from first-order sensitivities to high-order sensitivities. The results are high-order invariant sums of sensitivities of the first and the second kind, formulated for nonlinear lumped circuit, which consists of one-port and two-ports only. One-ports are generalized resistances, capacitances, inductances, voltages, and current sources, whereas two-ports are nonlinear generalizations of four types of controlled sources. It is observed that the invariant sums actually found for nonlinear lumped networks are generalizations of sums given earlier by authors for linear lumped networks. The article is illustrated by numerical sensitivity analysis of simple linear and nonlinear circuits.

Section: Example-linear Circuitmentioning

confidence: 99%

High‐order sensitivity invariants

2010

Circuit Theory & Apps

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“…Theoretical generalization of presented idea of second order sensitivities calculation is a notion of high-order sensitivity sum invariant researched by the authors [13], [14].…”

Section: Intersection Line Original Poles Predistorted Polesmentioning

confidence: 99%

Tuning of coupled resonator LC filter aided by SPICE sensitivity analysis

2008 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering

2008

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In the article an example of LC coupled resonator filter is considered. Sensitivity analysis is used to estimate distortion of amplitude response caused by finite value of Q factor of LC resonators the circuit consists of. As a result a generalized version of formulas for distortion of amplitude response, is formulated. Next improved version of predistortion technique is presented. Predistortion is used to construct filters adhering given shape of frequency response using elements with finite value of Q factor.

Some invariant sums of higher‐order sensitivities

2008

Circuit Theory & Apps

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SUMMARYIn this paper, a new class of invariant sensitivity sums of higher-order sensitivities is given. Sensitivity sums considered are relevant to a network function of general lumped time-invariant circuits containing passive and active elements. It is assumed that the circuit is linear and consists of one-port elements and two-port elements only. A part of the one-port elements is described by admittance parameters and the other part by impedance parameters. The rest of the one-port elements are independent sources. Two-port elements are only controlled sources. Hybrid matrix should describe functional relationships of the elements. Formulas for invariant sums of sensitivities of first, second, third, and fourth order are presented.