Abstract
In this work, Nuclear Reactor safety was modeled inform of quadratic functional. The nuclear tokens are structured and used as elements of the control matrix operator in our quadratic functional. The numerical results obtained through Conjugate Gradient Method (CGM) algorithm identify the optimal level of safety required for Nuclear Reactor construction at any particular situation.
Highlights
Nuclear reactors accidents occur when the coolant ceases to work, the reactor will be overheated and produced excess heat in form of steam
The numerical results obtained through Conjugate Gradient Method (CGM) algorithm identify the optimal level of safety required for Nuclear Reactor construction at any particular situation
The initial nuclear tokens used in problems 1 and 2 to represent the vectors and control operators of the quadratic model were arbitrary
Summary
Nuclear reactors accidents occur when the coolant ceases to work, the reactor will be overheated and produced excess heat in form of steam. Most of the internal component of the reactors are made from zirconium in zircalloy cladding used in fuel rods oxidizes in reaction with steam to produce zirconium oxide and hydrogen [1]. This work derived the equations for the rate of heat of different reactors from energy balance equations. These equations are structured in parametric form to obtain the basis of the mathematical model solvable by the Conjugate Gradient Method (CGM) algorithm. The obtained numerical results generate the minimal disaster associated with nuclear reactors
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