Research on Data-Driven Methods for Solving High-Dimensional Neutron Transport Equations
Abstract
:1. Introduction
2. DNN Neural Network
3. Sample Construction
3.1. Code Introduction
3.2. Project Design
4. Results Analysis
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Assembly Independent Variables | Value | Feature Name |
---|---|---|
Burnup (Gw·d/tU) | 0–60/Step 0.5 | BURNUP |
Enrichment (%) | 2–4/Step 0.5 | ENS |
Power (W/cm) | 20–50/Step 10 | power |
Temperature (°C) | 280–320/Step 10 | tem |
Boron concentration (ppm) | 100–900/Step 200 | nb |
Burnable poison arrangement form (rod) | 0–16/Step 4 | ngd |
Burnable poison enrichment (%) | 6–12/Step 2 | ngdd |
Assembly Geometry Parameter | Value |
---|---|
Outer surface diameter of cladding/cm | 0.95 |
Cladding material | M5 |
UO2 pellet diameter/cm | 0.8192 |
Gap gas | Helium |
Core active section height/cm | 365.8 |
Burnable poison arrangement form (rod) | 0–16/Step 4 |
Fuel rod center distance/cm | 1.26 |
Number of assembly grids | 17 × 17 |
Fuel assembly center distance/cm | 21.504 |
Number of tubes per assembly | 25 |
Number of UO2 fuel pins per assembly | 264 |
UO2 pellet density/g/cm3 | 10.412 |
Water density/g/cm3 | 0.9983 |
M5 density/g/cm3 | 6.5 |
Item | Value | Item | Value |
---|---|---|---|
Hidden Layers | 6 | Input Scaling | Max-Min |
Nodes per layer | 512, 256, 128, 64, 4, 1 | Activation | ReLU |
Dropout (after 1st layer) | 0.3 | Optimizer | Adam |
Loss Function | MSE | Epochs | 5000 |
Batch Size | 1024 | Training/Validation/Testing Samples | 6:2:2 |
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Peng, Z.; Lei, J.; Ni, Z.; Yu, T.; Xie, J.; Hong, J.; Hu, H. Research on Data-Driven Methods for Solving High-Dimensional Neutron Transport Equations. Energies 2024, 17, 4153. https://doi.org/10.3390/en17164153
Peng Z, Lei J, Ni Z, Yu T, Xie J, Hong J, Hu H. Research on Data-Driven Methods for Solving High-Dimensional Neutron Transport Equations. Energies. 2024; 17(16):4153. https://doi.org/10.3390/en17164153
Chicago/Turabian StylePeng, Zhiqiang, Jichong Lei, Zining Ni, Tao Yu, Jinsen Xie, Jun Hong, and Hong Hu. 2024. "Research on Data-Driven Methods for Solving High-Dimensional Neutron Transport Equations" Energies 17, no. 16: 4153. https://doi.org/10.3390/en17164153