Geemert R. van, Evaluation and optimization of fuel assembly shuffling schemes for a nuclear reactor core, IRI-131-95-016, University of Technology Delft, 1995.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....cycle length before becoming sub critical. Furthermore, the leakage factor is correlated with the effective multiplication factor. In the literature different methods to solve the reloading problem can be found. Several papers describe solution methods using genetic algorithms, simulated annealing [6], pairwise interchange and other neighborhood search heuristics [2] Since the problem can be stated as an assignment problem with nonlinear side constraints, it can also be viewed as a mixed integer nonlinear optimization problem. Variants using linear and nonlinear programming to solve ....

....i;t 1 Gamma k 1 i;t = Gammaoe a Deltatk 1 i;t OE i;t ; i = 1; N; t = 1; T Gamma 1: 24) Resuming, the crucial issue in the model is the derivation of the matrix G i;j . There are several ways to compute G (see e.g. remarks in [4, 14] Different approaches are described in e.g. [6] and [11] In our paper, the method described in [6] is used. 2.6 Eigenvalues and eigenvectors The nodalized integral equation (22) has solutions corresponding to a spectrum of eigenvalues. When we define, for fixed t, the diagonal matrix K containing the elements k 1 i , and denote with OE the ....

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R. van Geemert. Evaluation and optimization of fuel assembly shuffling schemes for a nuclear reactor core. Technical Report IRI-131-95-016, Delft University of Technology, 1995.

....is to optimize the ratio between neutron production and neutron absorbtion, the uncontrolled effective multiplication factor, at EOC, for a fixed cycle length. In the literature, the problem is solved using e.g. neighborhood search heuristics such as Genetic Algorithms, Simulated Annealing (SA) [6] and Pairwise Interchange (PI) There are also variants using Linear and Nonlinear Programming (LP and NLP) to solve subproblems [10] 11] Recent work is done on a Mixed integer Linear Programming [8] resp. a Mixedinteger Nonlinear Programming (MINLP) approach [3] 12] In our paper, we state ....

....per node. The key idea is that we describe the neutron diffusion by a neutron interaction matrix G, defined as follows: ffl G i;j : the probability that a neutron produced in node j will be absorbed in node i. The matrix G i;j is assumed to be constant and is computed as described in [2] and [6]. Besides spatial discretization, the time axis is also discretized: we divide the core cyclus into T Gamma 1 time periods. Let N be the number of nodes, then we define for i = 1; N; t = 1; T : ffl k 1 i;t : The average infinite multiplication factor in node i at time t. ffl OE i;t ....

R. van Geemert. Evaluation and optimization of fuel assembly shuffling schemes for a nuclear reactor core. Technical Report IRI-131-95-016, Delft University of Technology, 1995.

....of Nonlinear Optimization to Reactor Core Fuel Reloading A.J. Quist a , R. van Geemert b , J.E. Hoogenboom b , T. Ill es c;1 , C. Roos a and T. Terlaky a a Faculty of Information Technology and Systems, Delft University of Technology, Delft, The Netherlands [a.j.quist,c.roos,t.terlaky] twi.tudelft.nl b Interfaculty Reactor Institute, Delft University of Technology, ....

R. van Geemert. Evaluation and optimization of fuel assembly shuffling schemes for a nuclear reactor core. Technical Report IRI-131-95-016, Delft Univ. of Techn., 1995.

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Geemert R. van, Evaluation and optimization of fuel assembly shuffling schemes for a nuclear reactor core, IRI-131-95-016, University of Technology Delft, 1995.

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