Depletion perturbation theory for the constrained equilibrium cycle

Journal Article · Tue Aug 01 04:00:00 EDT 1989 · Nuclear Science and Engineering; (USA)

OSTI ID:5199593

Yang, W S ^[1]; Downar, T J ^[2]

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1. Argonne National Lab., Engineering Physics Div., Argonne, IL (US)
2. Purdue Univ., Lafayette, IN (USA). School of Nuclear Engineering

Generalized perturbation theory for the coupled neutron/nuclide field is extended to the constrained equilibrium fuel cycle. A variational method is used to formulate the adjoint depletion equations for the two-point boundary value problem of the equilibrium cycle. The reactor operating constraints are treated using the methods of constrained sensitivity theory. A practical numerical algorithm is developed to solve the constrained equilibrium cycle adjoint equations and sensitivity coefficients are generated for several responses in a zero-dimensional, two-group example. In all cases, the sensitivities are in excellent agreement with the results of the direction subtraction of perturbed forward calculations.

• OSTI ID: 5199593
• Journal Information: Nuclear Science and Engineering; (USA), Journal Name: Nuclear Science and Engineering; (USA) Vol. 102:4; ISSN 0029-5639; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
220300 -- Nuclear Reactor Technology-- Fuel Elements
BARYON REACTIONS
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
FUEL CYCLE
HADRON REACTIONS
NEUTRON REACTIONS
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUMERICAL SOLUTION
PERTURBATION THEORY
REACTOR COMPONENTS
VARIATIONAL METHODS