SYNTHESIS OF HIGH-SPEED HOMOPOLAR ALTERNATORS AND THEORY OF SOLID ROTOR ELECTRICAL MACHINES. PHASE DD, PART II. THEORY OF SOLID ROTOR INDUCTION MOTORS.

Abstract

After review of the linear two-dimensional theory of solid rotor induction machines, the so-called composite rotor induction motor is analyzed. The rotor consists of layers of various combinations of magnetic and conducting materials. It is shown that by right selection of layer combinations a nearly ideal constant torque motor can be designed. For the consideration of end effects of a short rotor-motor, a three-dimensional linear treatment is developed. The basic partial differential equations are established and boundary conditions described. After a general solution is found, the boundary conditions satisfied in the least square sense yield the necessary constant. The solution shows clearly the end effects influence. Long and short motors are compared. In the two-dimensional nonlinear numerical solution of the solid rotor induction motor the B-H characteristic is represented as a piece-wise linear curve. The solution is obtained by a successive line relaxation technique of the vector potentials and by underrelaxation of the reluctivities. The results show the influence of saturation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0711570

Entities

People

  • Edward A. Erdelyi
  • James C. Wilson

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Alternators
  • Boundaries
  • Composite Materials
  • Differential Equations
  • Equations
  • Induction Motors
  • Materials
  • Mathematics
  • Motors
  • Partial Differential Equations
  • Saturation
  • Three Dimensional
  • Two Dimensional

Readers

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