A novel lyapunov exponent approach for stability analysis of the simple nuclear reacter

Stability monitoring of nuclear reactors has been extensively investigated in the last few decades. However, the identification methods and proposed intelligent control systems are not appropriate for real cases [1]. In this study stability analyses of nuclear reactors have been done by using a dynamical system approach. We elaborated the relation between nuclear fission and spatial chaos. The relation among neutron effective multiplication coefficient k, concentration rate of uranium and chemical shim, indicates that the nuclear self-sustaining chain fission and nuc- lear fusion have literally spatial nonlinear dynamical behavior. Stability boundaries are obtained in several three and two-dimensional parameter spaces. We have found the absolutely stable area of nuclear reactor, which is markedly different from the formerly mentioned areas.