Author Affiliations
1ShanghaiTech University, Shanghai 201210, China2Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China3University of Chinese Academy of Sciences, Beijing 100049, Chinashow less
Fig. 1. Development process of the system transient identification model
Fig. 2. KNN-based system transient identification model for the MSR system
Fig. 3. Framework of the KNN-based system transient identification model
Fig. 4. RELAP5-TMSR nodalization of the MSRE
Fig. 5. Hyper-parameter optimization results of the KNN-based system transient identification model
Fig. 6. Confusion matrix for the KNN-based system transient identification model
Fig. 7. Robustness test results
Fig. 8. Hyper-parameter optimization results of the system transient identification model trained on noisy data
Fig. 9. Confusion matrix for the KNN-based system transient identification model trained using noisy data on noiseless test datasets
Fig. 10. Confusion matrix for the KNN-based system transient identification model trained using noisy data on noisy test datasets
Fig. 11. Robustness test results of the system transient identification model trained on noisy data
超参数Hyper-parameter | 选取范围Range selected |
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邻近点数Number of neighbors | [1~10] | 邻近点查找方法Algorithm to search neighbors | [“auto”, “ball_tree”, “kd_tree”, “brute”] | 距离计算方法Method to calculate distance | [1, 2] | 邻近点权重方式Method to weight neighbors | [“uniform”, “distance”] |
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Table 1. Hyper-parameters of KNN-based system transient identification model
运行工况Operation condition | 详细描述Description |
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NOR | 稳态运行Steady state | LOF_1 | 燃料泵故障Fuel circulating pump failure | LOF_2 | 冷却剂泵故障Coolant circulating pump failure | SBO | 全场断电Station black out | URW_1 | 1根控制棒误提升Uncontrolled withdrawal of 1 control rod | URW_2 | 2根控制棒误提升Uncontrolled withdrawal of 2 control rods | URW_3 | 3根控制棒误提升Uncontrolled withdrawal of 3 control rods | FSL_hot | 热段燃料盐泄漏Fuel salt leakage in hot leg | FSL_cold | 冷段燃料盐泄漏Fuel salt leakage in cold leg | CSL_hot | 热段冷却盐泄漏Coolant salt leakage in hot leg | CSL_cold | 冷段冷却盐泄漏Coolant salt leakage in cold leg |
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Table 2. MSRE operation condition type
特征参数Feature parameter | 单位Unit |
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功率Power | MW | 堆芯出口温度Core outlet temperature | K | 堆芯进口温度Core inlet temperature | K | 二回路热段温度Secondary hot leg temperature | K | 二回路冷段温度Secondary cold leg temperature | K | 堆芯出口压力Core outlet pressure | kPa | 堆芯进口压力Core inlet pressure | kPa | 二回路热段压力Secondary hot leg pressure | kPa | 二回路冷段压力Secondary cold leg pressure | kPa | 燃料盐质量流量Fuel salt mass flow rate | kg·s-1 | 冷却盐质量流量Coolant salt mass flow rate | kg·s-1 |
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Table 3. Feature parameters of identification in MSR system
真实标签 True label | 预测标签Predicted label |
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1 | 0 |
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1 | TP | FN | 0 | FP | TN |
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Table 4. Binary classification results
超参数Hyper-parameter | 优化结果Optimization results |
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邻近点数Number of neighbors | 2 | 邻近点查找方法Algorithm to search neighbors | “auto” | 距离计算方法Method to calculate distance | 1 | 邻近点权重方式Method to weight neighbors | “distance” |
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Table 5. Hyper-parameters optimization results of KNN-based system transient identification model
| 准确率 Accuracy | 精确率 Precision | 召回率 Recall | F1分数 F1-score |
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测试结果Test results | 99.99% | 99.99% | 99.99% | 99.99% |
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Table 6. Test results of KNN-based identification models
运行工况 Operation condition | F1分数 F1-score / % |
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NOR | 100.00 | LOF | 100.00 | LOF_2 | 100.00 | SBO | 100.00 | URW_1 | 100.00 | URW_2 | 99.94 | URW_3 | 99.94 | FSL_hot | 100.00 | FSL_cold | 100.00 | CSL_hot | 100.00 | CSL_cold | 100.00 |
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Table 7. F1-score of individual transient
| 准确率 Accuracy | 精确率 Precision | 召回率 Recall | F1分数 F1-score |
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测试结果Test results | 97.41% | 94.47% | 94.61% | 94.31% |
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Table 8. Results of system transient identification model under 30 dB SNR
超参数Hyper-parameter | 优化结果Optimization results |
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邻近点数Number of neighbors | 1 | 邻近点查找方法Algorithm to search neighbors | “kd tree” | 距离计算方法Method to calculate distance | 2 | 邻近点权重方式Method to weight neighbors | “uniform” |
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Table 9. Hyper-parameters optimization results of system transient identification model trained by data with noise
| 准确率 Accuracy | 精确率 Precision | 召回率 Recall | F1分数 F1-score |
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测试结果Test results | 99.69% | 99.26% | 99.22% | 99.22% |
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Table 10. Results of KNN-based system transient identification model trained by data with noise on noiseless test datasets
| 准确率 Accuracy | 精确率 Precision | 召回率 Recall | F1分数 F1-score |
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测试结果Test results | 99.89% | 99.73% | 99.73% | 99.73% |
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Table 11. Results of KNN-based noise-added system transient identification model in test datasets
运行工况 Operation condition | F1分数 F1-score / % |
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NOR | 100.00 | LOF | 100.00 | LOF_2 | 100.00 | SBO | 100.00 | URW_1 | 99.61 | URW_2 | 98.77 | URW_3 | 98.62 | FSL_hot | 100.00 | FSL_cold | 100.00 | CSL_hot | 100.00 | CSL_cold | 100.00 |
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Table 12. F1-scores of individual transients using KNN-based system transient identification model trained by data with noise