[01] Hend M. Saad, Nuclear Safety Engineering Department, Nuclear and Radiological Regulatory Authority, Nasr City, Cairo, Egypt. [02] M. Aziz, Nuclear Safety Engineering Department, Nuclear and Radiological Regulatory Authority, Nasr City, Cairo, Egypt. [03] H. Mansour, Physics Department, Faculty of Science, Cairo University, Giza, Egypt.

Understanding the time-dependent behaviour of the neutron population in a nuclear reactor in response to either a planned or unplanned change in the reactor conditions is of great importance to the safe and reliable operation of the reactor. In the present work, the point kinetics equations are solved numerically using the stiffness confinement method (SCM). The solution is applied to the kinetics equations in the presence of different types of reactivities, and is compared with other methods. This method is, also used to analyze Anticipated Transient without Scram (ATWS) reactivity accidents in thermal reactor at start-up, and full power. Thermal reactor (HTR-M) is fuelled by uranium-235. This analysis presents the effect of negative temperature feedback, and the positive reactivity of control rod. Power, temperature pulse, and reactivity following the reactivity accidents are calculated using programming language (FORTRAN), and (MATLAB) Codes. The results are compared with previous works and satisfactory agreement is found.

Point Kinetics Equations, Stiffness Confinement Method, Reactivity Accident, (ATWS), and SAR

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