5.1 Speed-Up of Reactor Core Design Optimization Process Using Artificial Neural Networks

Fig. 5-1

A structure of multilayer neural networks to substitute for analytical calculations

A mapping function between design parameters and core characteristics can be constructed using artificial neural networks by training them so as to simulate a response of an analysis code with some teaching data which are composed of combinations of the design parameters and core characteristics and obtained by executions of the analysis code.

Fig. 5-2

A view of a core characteristics distribution and a design window estimated by neural networks

We obtain the coolant temperature from multilayer neural networks for three design parameters such as fuel pin diameter, fuel pin pitch and hot channel factor, and evaluate a difference between the estimated coolant temperature and the saturated one. We show a distribution of the difference and a design window defined as feasible parameter ranges satisfying design criteria, in a two-dimensional space at a pin diameter of 9.5 mm. In this example, the top boundary of the design window is defined by a constraint that the coolant temperature must be less than the saturated one. So, a design limit is defined by the boundary where the difference vanishes.

The purpose of a reactor core design is to decide appropriate design parameters such as shapes, dimensions, and materials of components and their arrangement to satisfy required design criteria and performance. In the conventional way, we must repeat the following design process; defining a postulated design specification, calculating core performances using analysis codes with the postulated specification and modifying the design specification, until appropriate design parameters are found. Under these circumstances, we need so much experience and time to carry out this design process.
Recently, artificial neural networks have been used in various technological fields. They imitate a human brain on a computer and give an accurate output like the human brain as they accumulate training. The neural networks, in which design parameters are set to their input signals and core characteristics to their output signals respectively, can simulate a response of an analysis code by training. Computation time can be reduced by the use of neural networks instead of an analysis code, because their response is very quick (Fig. 5-1).
In general, the more complex the structure of the neural network becomes; that is, the more hidden layers and the more neurons installed in a hidden layer, and also the more teaching data used for training, the more accurate the predictive output which can be provided. However, it is found from our present work that even a relatively simple structure predicts sufficiently accurate output values. In the case of three design parameters, computation time can be reduced by a factor of several dozens compared with that of the conventional method. Figure 5-2 shows an example of the application of neural networks to the thermal hydraulics field.

Reference
T. Kugo et al., Application of Neural Network to Multi-Dimensional Design Window Search in Reactor Core Design, J. Nucl. Sci. Technol., 36 (4), (1999) to be published.

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