Kinetic behavior of a TRIGA reactor can be modeled using the Point Reactor Kinetics Equations (PRKE?s). The simplified one-group PRKE?s are

With

initial conditions; reactor temperature T0 = 300K, power n0 = 100 watts

Calculate initial precursor concentration by assuming dn(t)/dt = 0 (steady state) and Reactivity or Rho = 0 prior to the reactivity insertion. This will give precursor concentration in terms of watts. Solve the differential equation.

dn(t) dt dC(t) _ B_n(t) AC(t) dt p(t)-B A n(t) + 2C(t) p(t) is reactivity, is the delayed neutron fraction (0.0075), A is the effective one-group generation time (27 sec), is the precursor decay constant (0.074 sec-).