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Issues Associated with Selection of Sampling Time for Control Related Studies in Nuclear Reactor

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International Research Journal of Engineering and Technology (IRJET) Volume: 09 Issue: 05 | May 2022

www.irjet.net

e-ISSN: 2395-0056 p-ISSN: 2395-0072

Issues Associated with Selection of Sampling Time for Control Related Studies in Nuclear Reactor Dr. A. RajaSekhar1, D. Sai Kiran2, L. Karthik3 , Mohd Shanawaz4, K. Kalyan Ramana Reddy5 1Assistant

Professor, Dept of EEE, KITSW, Telangana, India Dept of EEE, KITSW, Telangana, India ---------------------------------------------------------------------***--------------------------------------------------------------------2,3,4,5 Student,

nuclear reactor, designed by BARC, India. The main advantage AHWR has is, it uses Thorium as its fuel. India has abundant thorium reserves. The heat exchange is done by light water, and heavy water is used as moderator Advantages of using AHWR:

Abstract - This project mainly focuses on the

development of a discrete time mathematical model of the nuclear reactor core. For the development of this model continuous time mathematical model is taken from the literature and also the 17 node scheme of the reactor is taken from the literature. The main objective of the project is to select optimal sampling time for discretization of the continuous time system. This selection of optimal sampling time is mainly dependent on discretization error and it should be minimum and the poles of the system should satisfy stability conditions in the z plane. For the development the model Advanced Heavy Water Reactor (AHWR) design is used and it is used because of its unique advantages over other reactors. Key Words: Reactor Core, 17-Node Discretization, Z-Plane Stability, Neutron Flux.

1. 2. 3. 4.

Self-Developed reactor technology (by Indian institute BARC) Thorium is used for fuelling the reactor which is abundantly available in India Light water cooled and Heavy water moderated reactor High degree of safety features

The construction of the AHWR is shown in figure

.

Scheme,

1. INTRODUCTION Nuclear power generation is the least environmentally polluting source of electrical energy. The heart of nuclear energy is the nuclear reactor; the efficient operation of the reactor is only possible when internal flux state is well known. In this project a mathematical model of Advanced Heavy Water Reactor (AHWR) is being constructed in continuous time and then it is discretized with selection of sampling time which is optimal for good trade-off between discretization error and stability of the system.

Fig.1.AHWR Construction(Source BARC)

The stability of descritized model is analyzed in the Z domain. And in every sample time Mean Square Error and Root Mean Square Error is calculated by comparing responses with continuous time model response.

2.2 17-Node Scheme of Nuclear Reactor

For analyzing the core neutron flux, the reactor core is divided into 59 sections for estimating local flux distribution and this scheme is called 17- Node scheme.

In this scheme core of the reactor is divided into 3 layers (top reflector, core and bottom reflector) The 3 layers are divided into 17 parallelepiped shaped nodes which makes 17x3 = 51 and 8 side reflector nodes, making total 8+51=59 nodes, below figure shows the node division of core layer and following figure shows the reactor core node division of AHWR

The study of the reactor- core and reflector region the reactor is divided into a total of 59 nodes.

2. CONCEPTS 2.1 AHWR AHWR is a 920 MW(Thermal), vertical pressure tube type, boiling light water cooled and heavy water moderated

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