HASEEB UR REHMAN / Pakistan Institute of Engineering and Applied Sciences
Usman Khalid / PIEAS
Farhana Kausar / PAEC
Masroor Ahmad / PIEAS
Ali Waqas / PIEAS
Aman ur Rehman / PIEAS
This study presents Artificial Neural Network (ANN) based model to solve the 3-dimensional, multi-group Neutron Diffusion Equation (NDE). In this approach rigorous mathematical equations of Nodal Expansion Method (NEM) are used for developing the training dataset for the ANN model, which approximates the neutron flux through a 4th-order polynomial expansion. This approach differs from traditional methods, as ANN significantly reduces computational costs. It has been tested against 3D steady-state IAEA and 3D steady-state TWIGL benchmarks and the results show reasonable agreement with the reported results. However, the applicability of trained ANN models was also observed when the problem is significantly different from the trained data problems and hence limits its wider application for core calculations.