A METHOD FOR THE NUMERICAL SOLUTION OF A NONLINEAR DIFFERENTIAL EQUATION RESULTING FROM AN EXTENSION OF NEETESON'S EQUATIONS ON FERRITE CORES

Abstract

Starting from Neeteson's approximation for the flux switching characteristic of a magnetic core, the differential equation describing the case when such a core is terminated in series inductance and resistance was derived. By means of successive transformations, the equation was reduced to a form which could be solved by an iterative procedure. A family of solutions was computed and plotted. To date, no attempt has been made to check these curves against experimental results, although verification is planned for the future. Since Neeteson's approximation is admittedly a compromise between exact fit to the flux characteristic and mathematical simplicity, only a fair agreement is to be expected. It is believed that the differential equation and solutions are applicable to flux steering through multipath magnetic structures. The mathematical methods employed are themselves of some interest.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1963
Accession Number
AD0403282

Entities

People

  • Martin Blumberg

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Alternating Current
  • Circuits
  • Coefficients
  • Differential Equations
  • Electric Current
  • Electrical Resistance
  • Equations
  • Ferrites
  • Integrals
  • Magnetic Cores
  • Magnetic Materials
  • Materials
  • Resistance
  • Switching
  • Time Intervals
  • Two Dimensional
  • Voltage

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering