Time dependent one speed diffusion equation; The point
reactor kinetics (P.k.e) (6- groups
model), The corresponding characteristic equation (the inhour equation), System
time constants, The p.k.e (1 group model), Effective decay constant for power
maneuver, Effective decay constant for accident, The inhour equation (reactivity vs
period diagram). Approximations (
1st order models), Constant
source model, Prompt jump model. Laplace Transform, Introduction,
Definitions, Generating Laplace table, Partial, fraction method, Solution of
differential equations in s- domain.
Solutions of point kinetics equations (coupled
1st order ,and nth order model), Equilibrium versus
criticality, Reactivity insertions, Positive reactivity, Negative reactivity,
Zero reactivity, Reactor power maneuver (reactor operation), Simple reactor simulator.
Source insertion, Impulse insertion, Step
insertion, Ramp insertion, Sinusoidal insertion. Transfer function(TF), Source TF, Reactivity TF, frequency response and bode plots.
Feedback effects, Temperature feedback, Xenon feedback, Other feedbacks, Temperature coefficient of
reactivity, Nordhieum Fuches Reactor
Model. Reactor Stability, Controllability, S-plane and allocations of inverse
of time constants (roots of characteristic equation), Stability concepts, Roots
allocation, Direct roots finding: analytic and numerical, Routh criteria method,
Nyquist plot.
