Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order
The goal of high-fidelity burnup calculations is to accurately describe the nuclide composition of the reactor over its entire lifetime. As the core physics calculation method evolves to high-fidelity, the number of burnup regions will increase thousands of times from the traditional decimeter level...
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| Format: | Article |
| Language: | English |
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Editorial Board of Atomic Energy Science and Technology
2023-10-01
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| Series: | Yuanzineng kexue jishu |
| Subjects: | |
| Online Access: | https://www.aest.org.cn/CN/10.7538/yzk.2022.youxian.0904 |
| _version_ | 1797635149232340992 |
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| author | ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2 |
| author_facet | ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2 |
| author_sort | ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2 |
| collection | DOAJ |
| description | The goal of high-fidelity burnup calculations is to accurately describe the nuclide composition of the reactor over its entire lifetime. As the core physics calculation method evolves to high-fidelity, the number of burnup regions will increase thousands of times from the traditional decimeter level to the centimeter level, and the cost and complexity of the burnup calculation will increase steeply while the accuracy of the burnup calculation increases. In this paper, the fuel consumption calculation method based on the proper orthogonal decomposition (POD) reduced-order method was studied. By establishing a parametric reduced-order model (ROM), a set of complete orthogonal basis functions was used to construct the burnup matrix in each burnup region, and further based on the offline-online calculation strategy to achieve efficient numerical solution. In the offline phase, a high-fidelity burnup calculation was performed to obtain the snapshot matrices of reaction rate and neutron flux. Based on singular value decomposition (SVD), a set of basis functions of the burnup matrix and neutron flux were constructed respectively. In the online phase, the neutron flux was obtained from the real-time transport calculation, the parametric ROM and basis functions in the offline stage were used to quickly construct the burnup matrix and then completed the full-life burnup calculation. Based on the benchmark problem of MOX fuel cell released by JAEA, the numerical results verify the correctness and feasibility of this method. For the calculation of kinf, the relative deviation from the full-order model (FOM) is less than 0.5% with only the first-order ROM. For the calculation of nuclear density of heavy nuclides 235U and 239Pu, the first-, fifth- and tenth-order ROMs were used for calculation. Comparing with the FOM, the relative deviations are within 5%, 0.1% and 0.005%, respectively. However, for the calculation of 155Gd and 149Sm, which have larger neutron absorption cross sections, the calculation accuracy of the first-order ROM is poor, the relative deviation of the fifth-order ROM is within 5%, and the relative deviation of the tenth-order ROM reaches within 0.1%. From the calculation results, it can be seen that a ROM of about fifth-order can be used to construct the burnup matrix for 3 fuel regions at every burnup step, which can obtain good calculation accuracy without repeatedly calculating and storing the burnup matrix. Comparing with the traditional burnup calculation method, the acceleration ratio obtained by different reduced-order models is up to 18-23. Compared with the traditional burnup calculation, the acceleration ratio of the 5-order reduced-order model can reach 17-26, which improves the calculation efficiency. This method can be used as a reference to effectively reduce the cost and improve the efficiency of high-fidelity burnup calculations. |
| first_indexed | 2024-03-11T12:18:13Z |
| format | Article |
| id | doaj.art-fc67e28312644c158ff09837df9d14a5 |
| institution | Directory Open Access Journal |
| issn | 1000-6931 |
| language | English |
| last_indexed | 2024-03-11T12:18:13Z |
| publishDate | 2023-10-01 |
| publisher | Editorial Board of Atomic Energy Science and Technology |
| record_format | Article |
| series | Yuanzineng kexue jishu |
| spelling | doaj.art-fc67e28312644c158ff09837df9d14a52023-11-07T07:16:32ZengEditorial Board of Atomic Energy Science and TechnologyYuanzineng kexue jishu1000-69312023-10-0157101938194810.7538/yzk.2022.youxian.0904Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-orderZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao201.College of Mechanical & Power Engineering, China Three Gorges University, Yichang 443002, China;2.College of Science, China Three Gorges University, Yichang 443002, ChinaThe goal of high-fidelity burnup calculations is to accurately describe the nuclide composition of the reactor over its entire lifetime. As the core physics calculation method evolves to high-fidelity, the number of burnup regions will increase thousands of times from the traditional decimeter level to the centimeter level, and the cost and complexity of the burnup calculation will increase steeply while the accuracy of the burnup calculation increases. In this paper, the fuel consumption calculation method based on the proper orthogonal decomposition (POD) reduced-order method was studied. By establishing a parametric reduced-order model (ROM), a set of complete orthogonal basis functions was used to construct the burnup matrix in each burnup region, and further based on the offline-online calculation strategy to achieve efficient numerical solution. In the offline phase, a high-fidelity burnup calculation was performed to obtain the snapshot matrices of reaction rate and neutron flux. Based on singular value decomposition (SVD), a set of basis functions of the burnup matrix and neutron flux were constructed respectively. In the online phase, the neutron flux was obtained from the real-time transport calculation, the parametric ROM and basis functions in the offline stage were used to quickly construct the burnup matrix and then completed the full-life burnup calculation. Based on the benchmark problem of MOX fuel cell released by JAEA, the numerical results verify the correctness and feasibility of this method. For the calculation of kinf, the relative deviation from the full-order model (FOM) is less than 0.5% with only the first-order ROM. For the calculation of nuclear density of heavy nuclides 235U and 239Pu, the first-, fifth- and tenth-order ROMs were used for calculation. Comparing with the FOM, the relative deviations are within 5%, 0.1% and 0.005%, respectively. However, for the calculation of 155Gd and 149Sm, which have larger neutron absorption cross sections, the calculation accuracy of the first-order ROM is poor, the relative deviation of the fifth-order ROM is within 5%, and the relative deviation of the tenth-order ROM reaches within 0.1%. From the calculation results, it can be seen that a ROM of about fifth-order can be used to construct the burnup matrix for 3 fuel regions at every burnup step, which can obtain good calculation accuracy without repeatedly calculating and storing the burnup matrix. Comparing with the traditional burnup calculation method, the acceleration ratio obtained by different reduced-order models is up to 18-23. Compared with the traditional burnup calculation, the acceleration ratio of the 5-order reduced-order model can reach 17-26, which improves the calculation efficiency. This method can be used as a reference to effectively reduce the cost and improve the efficiency of high-fidelity burnup calculations.https://www.aest.org.cn/CN/10.7538/yzk.2022.youxian.0904burnup calculationreduced-order modelproper orthogonal decompositionnumerical validation |
| spellingShingle | ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2 Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order Yuanzineng kexue jishu burnup calculation reduced-order model proper orthogonal decomposition numerical validation |
| title | Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order |
| title_full | Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order |
| title_fullStr | Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order |
| title_full_unstemmed | Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order |
| title_short | Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order |
| title_sort | study on burnup calculation method based on proper orthogonal decomposition reduced order |
| topic | burnup calculation reduced-order model proper orthogonal decomposition numerical validation |
| url | https://www.aest.org.cn/CN/10.7538/yzk.2022.youxian.0904 |
| work_keys_str_mv | AT zhangbinhang1biyanzhao1gonghanyuan1zhangyonghong1yuanxianbao2 studyonburnupcalculationmethodbasedonproperorthogonaldecompositionreducedorder |