Verification and Validation of NECP-Bamboo Based on Measurement Data from Nuclear Power Plants
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摘要: 验证与确认是软件生命周期中的重要环节，反映软件研发真正走向实际应用的过程，是软件从“书架”走向“货架”的重要标志。基于核电厂包括CNP300、M310、CNP650、BEAVRS和HPR1000在内的5种型号商用压水堆共计48个运行循环的实际测量数据，对NECP-Bamboo软件进行了验证与确认。结果表明，采用NECP-Bamboo软件计算获得的控制棒价值、温度系数、临界硼浓度和组件功率分布等堆型关键参数的计算值与实测值误差均能满足工业限值的要求。各个型号堆型相应关键参数误差的95%置信区间范围汇总如下：临界硼浓度为[−37.80，35.39]ppm，控制棒的价值为[−6.18%，3.68%]，温度反应系数为[−3.27，2.99] pcm/K，组件相对功率在大于和小于0.9时分别为[−0.64%，−0.12%]和[1.18%，2.94%]。Abstract: The verification and validation (V&V) are important aspects in the life cycle of engineering software, and reflect the process of software development to practical application. They are also significant symbols of software from "bookshelf" to "goods shelf". In this paper, V&V for the software NECP-Bamboo were carried out based on the actual measurement data of five types of commercial pressurized water reactors, including CNP300, M310, CNP650, BEAVRS and HPR1000, for a total of 48 operation cycles. The results show that the errors between the calculated values and the measured values of the key reactor parameters, such as control rod worth, temperature coefficient, critical boron concentration and assembly power distribution, obtained by using NECP-Bamboo can meet the requirements of industrial limits. The 95% confidence interval range of the corresponding key parameter errors of various types of reactors is summarized as follows: [−37.80, 35.39]ppm for critical boron concentration, [−6.18%, 3.68%] for control rod worth, [−3.27, 2.99] pcm/K for the reactivity coefficient of temperature, [−0.64%, −0.12%] for the assembly power distribution when the relative power is greater than 0.9, and [1.18%, 2.94%] for that when the relative power is less than 0.9.
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Key words:
- NECP-Bamboo /
- CNP300 /
- M310 /
- CNP650 /
- BEAVRS /
- HPR1000 /
- Verification and validation
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图 2 CNP300机组功率运行跟踪的临界硼浓度误差及其统计结果
Figure 2. Errors in Boron Concentration during Power Operation of CNP300
图 3 CNP300机组功率运行阶段组件相对功率分布误差统计结果
Figure 3. Statistics of Errors in Assembly Relative Power Distribution during Operation of CNP300
图 5 M310机组功率运行跟踪的临界硼浓度误差
Figure 5. Errors in Boron Concentration during Power Operation of M310
图 6 M310机组功率运行阶段组件相对功率误差
Figure 6. Statistics of Errors in Assembly Relative Power Distribution during Operation of M310
图 8 CNP650机组功率运行跟踪计算的临界硼浓度误差
Figure 8. Errors in Boron Concentration during Power Operation of CNP650
图 9 CNP650机组组件相对功率分布误差统计结果
Figure 9. Statistics of Errors in Assembly Relative Power Distribution during Operation of CNP650
图 10 BEAVRS功率运行跟踪的临界硼浓度误差
Figure 10. Errors in Boron Concentration during Power Operation of BEAVRS
图 11 HPR1000机组功率运行跟踪计算的临界硼浓度误差
Figure 11. Errors in Boron Concentration during Power Operation of HPR1000
图 12 HPR1000机组组件相对功率分布误差统计结果
Figure 12. Statistics of Errors in Assembly Relative Power Distribution during Operation of HPR1000
表 1 BEAVRS启动物理试验计算结果
Table 1. Calculation Results of Start-up Physics Test for BEAVRS
参数 循环 控制棒状态 测量值 计算值 各参数计算误差 临界硼浓度 C1 棒组全提 975ppm 979ppm 4ppm C2 棒组全提 1405ppm 1378ppm −27ppm 控制棒价值 C1 D棒组 788pcm 802pcm 1.78% C棒组（D棒组插入） 1203pcm 1237pcm 2.83% B棒组（D、C棒组插入） 1171pcm 1220pcm 4.18% A棒组（D、C、A棒组插入） 548pcm 571pcm 4.20% SE棒组（D、C、B、A棒组插入） 461pcm 477pcm 3.47% SD棒组（D、C、B、A、SE棒组插入） 772pcm 784pcm 1.55% SC组（D、C、B、A、SE、SD棒组插入） 1099pcm 1120pcm 1.91% 等温温度系数 C1 棒组全提 −1.75 pcm/K −2.72 pcm/K −1.0 pcm/K C2 棒组全提 1.70 pcm/K 1.04 pcm/K −0.7 pcm/K 
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表 2 HPR1000机组启动物理试验计算结果
Table 2. Calculation Results of Start-up Physics Test for HPR1000
参数 循环 控制棒状态 各参数计算误差 临界硼浓度 U1 棒组全提 −23ppm R棒组插入 −24ppm U2 棒组全提 −1ppm R棒组插入（0步） −2ppm R棒组插入（5步） −2ppm 控制棒价值 U1 R棒组插入 −0.06% G1棒组插入 −2.11% G2棒组插入 −1.51% N1棒组插入 −1.64% N2棒组插入 2.86% SA棒组插入 2.40% SB棒组插入 −3.17% SC棒组插入 1.67% SD棒组插入 −2.90% U2 R棒组插入 2.12% G1棒组插入 −2.12% SB棒组插入 3.95% SA棒组插入 1.85% N2棒组插入 6.18% N1棒组插入 −3.11% 等温温度系数 U1 棒组全提 −3.4 pcm/K R棒组插入 −2.8 pcm/K U2 棒组全提 −1.1 pcm/K R棒组插入 −0.6 pcm/K
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