Application of Cohn's Sensitivity Theorem to Time Domain Responses.

Abstract

A sensitivity theorem by R. M. Cohn states that for linear resistive circuits the ratio of a fractional change in the d.c. input resistance to a fractional change in an internal resistance is equal to the square of the ratio of the current through that internal resistance to the d.c. input current. The theorem is extended to show the sensitivity of input impedance to changes in internal impedances for an arbitrary network at all frequencies. Equations are developed which show the relation between sensitivities and instantaneous power in the frequency domain. An extension to the time domain makes digital computer solutions possible. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0717491

Entities

People

  • Alan Lee Dahlvig

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computers
  • Digital Computers
  • Equations
  • Frequency
  • Frequency Domain
  • Impedance
  • Pulsed Power
  • Resistance
  • Sensitivity
  • Time Domain

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Electrical Engineering
  • Operations Research