Accession Number:

AD0768597

Title:

Optimal Confinement of Collisionless Plasmas by Localized Time-Varying Electric Fields,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s):

Report Date:

1973-07-01

Pagination or Media Count:

37.0

Abstract:

The problem of optimal confinement of collisionless plasmas by means of external amplitude-limited time-varying electric fields localized to an outer layer enclosing the confinement region a specified closed bounded spatial domain is considered. To confine the plasma, the external electric field control establishes a finite potential barrier for the escaping particles. The field direction for confinement depends on the sign of the electrical charge of the escaping particles inside the layer. The paper begins with a formal development of the plasma equations. Then, the existence and uniqueness of solutions of these equations are established. This is followed by the formulation of the optimal confinement problem along with a discussion of the existence of an optimal electric field control. By introducing additional assumptions to simplify the problem, suboptimal feedback controls are obtained. Finally, the effectiveness of the derived feedback controls is determined numerically using a computer-simulated plasma. Author

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE