Dynamics of Nuclear Reactors

Finite difference solution of the time dependent neutron group diffusion equations

“…The prompt jump approximation is not new to nuclear reactor kinetics; it has been applied to point kinetics (space-independent kinetics) problems for many years 13,14 Therefore, the'prompt jump approximation is introduced by way of point kinetics in Section 2. The prompt jump approximation may be applied to any of the mathematical models of nuclear reactor kinetics which were described in Chapter 1: the Boltzman transport model, the diffusion theory model and the point kinetics model.…”

IAD Method Applied to Reactor Physics Problems

“…The multi-energy group nuclear reactor kinetics equations with multi-group delayed neutrons can be written in the following form [5]: Using the finite difference method, the equations (1) and (2) lead to the following matrix form…”

Estimation, Analysis and Smoothing of Self-Similar Network Induced Delays in Feedback Control of Nuclear Reactors

“…The performance of these smoothing filters are tested for a step-change in reactivity in a nuclear reactor model governed the point-kinetic equations [10] given by (12)- (13) with { } , , P C ρ being the reactor power, delayed neutron precursor concentration and reactivity respectively. The measured power signals by the SPND are considered to be transmitted through the LAN from the reactor house to the control room or RRS.…”

“…prompt neutron and delayed neutron [10]. At the start up conditions of nuclear reactor or at setpoint changes, the random delays are highly detrimental especially for the prompt neutron jump and may cause rapid growth of global power and cause thermal shock to its elements.…”