Abstract
A mathematical model for the Ames Laboratory Research Reactor and proposed safety device electronics is presented, the method of solution is discussed, and results are graphed and tabulated. The model is comprised of a nonlinear system of nineteen differential equations. A derivation of the three ordinary differential equations which describe the safety electronics unique to this project is given. Three accident postulates (slow rod withdrawal, step insertion and ramp insertion) are specified by initial conditions and other parameters. Solution of the model was obtained by using a modified version of GEAR: Ordinary Differential Equation System Solver from Lawrence Livermore Laboratory. The application of GEAR to this problem, and a note on stiffness of the problem is given. Results obtained from the solution of this model indicate the range of performance for the proposed safety electronics, which appears to be adequate. A FORTRAN computer program listing is given.
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