Modal Feedback Stabilization of Hydromagnetic Equilibria,

Abstract

The problem of feedback stabilization of MHD instabilities is studied. Results are obtained for a cylindrical perfectly conducting plasma column immersed in a static axial magnetic field. Based on the linearized MHD equations, it is shown that local stabilization (including the interchange modes) can be achieved by a feedback control in the form of a magnetic field perturbation acting at the fluid boundary and depending linearly on the amplitudes of the unstable modes only. The control can be implemented by a finite number (a minimum of two in order to control all the unstable modes) of helical current-carrying conducting straps. The interchange modes can be stabilized by shielding each strap such that its field is effective on a portion of the plasma surface only. The limitations of the results are also discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0753102

Entities

People

  • G. Rodriquez
  • Paul Keng Chieh Wang

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Equations
  • Feedback
  • Instability
  • Magnetic Fields
  • Mathematics
  • Perturbations
  • Shielding

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics