Analytical Series Expressions for the Self- and Mutual Inductances of Two-Dimensional Coils in the Form of Partial Sectors

Abstract

Pulsed power generators of the drum type utilize radial components of magnetic fields created by field coils located on a rotor to induce voltage on stator coils located at larger radii. Conventionally, two-dimensional field analyses are used, and further, the field is expressed as a harmonic series and the fundamental part of the radial field is used for initial designs. Analytical series expressions for two-dimensional potentials and fields are utilized in this paper to derive analytical series expressions for the self-inductances and mutual inductances between the rotor and stator coils in the shape of partial sectors. The magnitudes of higher order terms are compared with that of the fundamental component. The effects of parameters such as the aspect ratios of conductor sections on the inductances and coupling constants are evaluated.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2002
Accession Number
ADA408890

Entities

People

  • V. Thiagarajan

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aspect Ratio
  • Boundaries
  • Couplings
  • Current Density
  • Energy
  • Equations
  • Generators
  • Inductance
  • Integrals
  • Magnetic Fields
  • Military Research
  • Parametric Analysis
  • Pulsed Power
  • Quadrants
  • Symmetry
  • Technical Information Centers
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Electrical Engineering