SYNTHESIS OF HIGH SPEED HOMOPOLAR ALTERNATORS AND THEORY OF SOLID ROTOR ELECTRICAL MACHINES, PHASE BB PARTS V AND VI. PART V: THREE-DIMENSIONAL FLUX PLOTTING. PART VI: THEORY OF SOLID ROTOR INDUCTION MACHINES.

Abstract

Numerical techniques for obtaining the flux distribution in the end region of high speed homopolar alternators are discussed. The required partial differential equations are developed. Special numerical formulae are derived to satisfy appropriate conditions on these boundaries. The technique of representing the air gap and stator slots by means of artificial current filaments is described. In part 6, numerical methods for obtaining the two dimensional field distribution in the saturated solid rotor induction machine are presented. A representation of the cross section of this machine is proposed. Also included is an approximate B-H characteristic with which to describe the saturation of the rotor iron. The required partial differential equations are derived from Maxwell's equations. For the numerical solution, a grid system is established together with the required difference approximations of the partial differential equations and boundary conditions. Difficulties of obtaining sufficiently rapid convergence of the solution are described. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0676828

Entities

People

  • Edward A. Erdelyi
  • J. C. Wilson
  • M. S. Sarma

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Gaps
  • Alternators
  • Boundaries
  • Convergence
  • Differential Equations
  • Equations
  • Filaments
  • Mathematics
  • Partial Differential Equations
  • Plotting
  • Saturation
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)