Time-Dependent Generalized Perturbation Theory for Coupled Neutron-Nuclide Problems

A generalized time-dependent nonlinear perturbation theory for coupled fields of neutrons, nuclides, and delayed neutron precursors is presented in a unified, yet detailed, formulation for diverse areas of applications, including depletion analysis, xenon poisoning, reactor kinetics, and pulsed neutron problems. Several applications of this formulation are discussed including cross-section sensitivity analysis and reactor design and operation sensitivity analysis.