Abstract
A new method of solving the nuclear reactor point kinetics equations with feedback is presented in this chapter. In small nuclear reactors, the reactor power transients are estimated by solving the stiff point kinetics equations with feedback. Here, a new computational method is developed using finite impulse response (FIR) filters for solving the stiff point kinetics equation with feedback. The point kinetics equations are converted into convolution equation by applying discrete Z transform. The power and precursor concentrations, appearing in the point kinetics equations, are written in terms of convolution equation with different impulse response functions. The impulse response functions characterize the FIR filter. This method is applied to estimate the transients in few benchmark thermal reactors for different types of reactivity perturbations with temperature feedback, i.e., step, ramp, and oscillatory reactivity inputs. This method has high stability, i.e., a small change in the time step of the order of 5 or 10 does not lead to large error in the solution. The transients estimated by this method are compared with other standard methods and they are found to be in good agreement.
Published Version
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