NUCLEAR REACTOR AS THE OBJECT OF CONTROL

Abstract

The nuclear reactor on neutron power is described by a nonlinear differential equation of the seventh order. For examining the thermal state of the reactor and the effect of the temperature coefficient of the reactivity, it is necessary to take into consideration also the reactor equation for temperature. When there are little deviations from the position of equilibrium it is permissible to linearize the nonlinear differential equation of the reactor. With relation to perturbations by an excess coefficient of reactivity the reactor which does not have a temperature coefficient of reactivity is astatic. With the presence in the reactor of a negative temperature coefficient of reactivity, its properties are substantially changed. The reactor takes on the property of temperature autoregulation. The regulating organ with the aid of which the action on the mode of operation of the reactor is accomplished (absorbing rods), possesses a nonlinear characteristic: the absorbing capacity of the rod depends nonlinearly on the depth of its insertion in the active zone or the reflector.

Document Details

Document Type
Technical Report
Publication Date
Mar 23, 1961
Accession Number
AD0259589

Entities

People

  • B.s. Voronkov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Nonlinear Differential Equations
  • Nuclear Reactors
  • Reactivities
  • Temperature Coefficient Of Reactivity
  • Temperature Coefficients

Fields of Study

  • Physics

Readers

  • Combustion science or combustion engineering.
  • Control Systems Engineering.
  • Nuclear and Radiation Engineering.