Continuous firefly algorithm applied to PWR core pattern enhancement

Abstract In this research, the new meta-heuristic optimization strategy, firefly algorithm, is developed for the nuclear reactor loading pattern optimization problem. Two main goals in reactor core fuel management optimization are maximizing the core multiplication factor (Keff) in order to extract the maximum cycle energy and minimizing the power peaking factor due to safety constraints. In this work, we define a multi-objective fitness function according to above goals for the core fuel arrangement enhancement. In order to evaluate and demonstrate the ability of continuous firefly algorithm (CFA) to find the near optimal loading pattern, we developed CFA nodal expansion code (CFANEC) for the fuel management operation. This code consists of two main modules including CFA optimization program and a developed core analysis code implementing nodal expansion method to calculate with coarse meshes by dimensions of fuel assemblies. At first, CFA is applied for the Foxholes test case with continuous variables in order to validate CFA and then for KWU PWR using a decoding strategy for discrete variables. Results indicate the efficiency and relatively fast convergence of CFA in obtaining near optimal loading pattern with respect to considered fitness function. At last, our experience with the CFA confirms that the CFA is easy to implement and reliable.

[1]  Wu Hong-chun Pressurized water reactor reloading optimization using genetic algorithms , 2001 .

[2]  Thomas J. Downar,et al.  OPTIMIZATION OF CORE RELOAD DESIGN FOR LOW-LEAKAGE FUEL MANAGEMENT IN PRESSURIZED WATER REACTORS , 1987 .

[3]  John Gerald Stevens A hybrid method for in-core optimization of pressurized water reactor reload core design , 1996 .

[4]  Caro Lucas,et al.  Optimization of fuel core loading pattern design in a VVER nuclear power reactors using Particle Swarm Optimization (PSO) , 2009 .

[5]  Alexander Sesonske,et al.  PRESSURIZED WATER REACTOR OPTIMAL FUEL MANAGEMENT. , 1972 .

[6]  Alejandro Castillo,et al.  Fuel loading and control rod patterns optimization in a BWR using tabu search , 2007 .

[7]  W. B. Terney,et al.  The Design of Reload Cores Using Optimal Control Theory , 1982 .

[8]  A. Gandomi,et al.  Mixed variable structural optimization using Firefly Algorithm , 2011 .

[9]  Juan José Ortiz,et al.  Using a multi-state recurrent neural network to optimize loading patterns in BWRs , 2004 .

[10]  Roberto Schirru,et al.  Particle Swarm Optimization applied to the nuclear reload problem of a Pressurized Water Reactor , 2009 .

[11]  Chaung Lin,et al.  Automatic pressurized water reactor loading pattern design using ant colony algorithms , 2012 .

[12]  N. Poursalehi,et al.  Development of a high order and multi-dimensional nodal code, ACNEC3D, for reactor core analysis , 2013 .

[13]  Ali Akbar Salehi,et al.  PWR fuel management optimization using neural networks , 2002 .

[14]  Saeed Setayeshi,et al.  LONSA as a tool for loading pattern optimization for VVER-1000 using synergy of a neural network and simulated annealing , 2008 .

[15]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[16]  Y. P. Mahlers Core loading pattern optimization for pressurized water reactors , 1994 .

[17]  H. Fenech,et al.  THE APPLICATION OF DYNAMIC PROGRAMMING TO FUEL-MANAGEMENT OPTIMIZATION , 1964 .

[18]  Roberto Schirru,et al.  Swarm intelligence of artificial bees applied to In-Core Fuel Management Optimization , 2011 .

[19]  Kenneth Alan De Jong,et al.  An analysis of the behavior of a class of genetic adaptive systems. , 1975 .

[20]  T. J. Downar,et al.  The optimum fuel and power distribution for a pressurized water reactor burnup cycle , 1989 .

[21]  H. Gupta,et al.  Optimization studies of fuel loading pattern for a typical Pressurized Water Reactor (PWR) using particle swarm method , 2011 .

[22]  N. Poursalehi,et al.  Performance comparison of zeroth order nodal expansion methods in 3D rectangular geometry , 2012 .

[23]  Chuan Hu,et al.  A theory of fuel management via backward diffusion calculation , 1986 .

[24]  Claubia Pereira,et al.  Nuclear fuel loading pattern optimisation using a neural network , 2003 .

[25]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

[26]  Theofanis Apostolopoulos,et al.  Application of the Firefly Algorithm for Solving the Economic Emissions Load Dispatch Problem , 2011 .

[27]  Richard Bartholomew Stout Optimization of in-core nuclear fuel management in a pressurized water reactor , 1972 .

[28]  Kostadin Ivanov,et al.  New genetic algorithms (GA) to optimize PWR reactors: Part I: Loading pattern and burnable poison placement optimization techniques for PWRs , 2008 .

[29]  Chaung Lin,et al.  Pressurized Water Reactor Loading Pattern Design Using the Simple Tabu Search , 1998 .

[30]  James C. Bean,et al.  Genetic Algorithms and Random Keys for Sequencing and Optimization , 1994, INFORMS J. Comput..

[31]  N. Poursalehi,et al.  PWR loading pattern optimization using Harmony Search algorithm , 2013 .

[32]  Xin-She Yang,et al.  Firefly algorithm, stochastic test functions and design optimisation , 2010, Int. J. Bio Inspired Comput..