Ian T. Kolaja , Lee A. Bernstein , Ludovic Jantzen , Eleanor Tubman , Tatiana Siaraferas , Massimiliano Fratoni
{"title":"Burnup measurement using bent crystal diffraction spectrometers for pebble bed reactors","authors":"Ian T. Kolaja , Lee A. Bernstein , Ludovic Jantzen , Eleanor Tubman , Tatiana Siaraferas , Massimiliano Fratoni","doi":"10.1016/j.anucene.2026.112263","DOIUrl":null,"url":null,"abstract":"<div><div>Burnup measurement is essential for monitoring and operating pebble-bed reactors (PBRs), where fuel pebbles circulate rapidly through the core. However, conventional gamma spectroscopy using high-purity germanium (HPGe) detectors is challenging due to high activity levels in discharge pebbles, leading to excessive dead time and Compton scattering. This study explores the use of bent crystal diffraction (BCD) spectrometers to filter the emitted gamma spectrum and isolate key peaks for improved measurement accuracy and speed. Pebble-wise depletion calculations were performed and the resulting spectra were analyzed using ray tracing (SHADOW3) and gamma response modeling (GADRAS). Key isotopes, <span><math><msup><mrow></mrow><mrow><mn>137</mn><mi>m</mi></mrow></msup></math></span>Ba/<sup>137</sup>Cs, <sup>239</sup>Np, <sup>144</sup>Ce, <span><math><msup><mrow></mrow><mrow><mn>148</mn><mi>m</mi></mrow></msup></math></span>Pm, and <sup>140</sup>La, were found to strongly correlate with burnup, residence time, core passes, plutonium production, and fluence. Machine learning regression models that were given synthetic spectra achieved a coefficient of determination (<span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>) as high as 0.995 for burnup prediction. Among various BCD configurations, mosaic silicon crystals in the (440) orientation combined with an HPGe detector provided optimal performance for measuring <sup>137</sup>Cs decay (via <span><math><msup><mrow></mrow><mrow><mn>137</mn><mi>m</mi></mrow></msup></math></span>Ba), while silicon (220) and (440) paired with scintillators were effective for the shorter-lived isotopes.</div></div>","PeriodicalId":8006,"journal":{"name":"Annals of Nuclear Energy","volume":"233 ","pages":"Article 112263"},"PeriodicalIF":2.3000,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Nuclear Energy","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0306454926001519","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/3/5 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"NUCLEAR SCIENCE & TECHNOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
Burnup measurement is essential for monitoring and operating pebble-bed reactors (PBRs), where fuel pebbles circulate rapidly through the core. However, conventional gamma spectroscopy using high-purity germanium (HPGe) detectors is challenging due to high activity levels in discharge pebbles, leading to excessive dead time and Compton scattering. This study explores the use of bent crystal diffraction (BCD) spectrometers to filter the emitted gamma spectrum and isolate key peaks for improved measurement accuracy and speed. Pebble-wise depletion calculations were performed and the resulting spectra were analyzed using ray tracing (SHADOW3) and gamma response modeling (GADRAS). Key isotopes, Ba/137Cs, 239Np, 144Ce, Pm, and 140La, were found to strongly correlate with burnup, residence time, core passes, plutonium production, and fluence. Machine learning regression models that were given synthetic spectra achieved a coefficient of determination () as high as 0.995 for burnup prediction. Among various BCD configurations, mosaic silicon crystals in the (440) orientation combined with an HPGe detector provided optimal performance for measuring 137Cs decay (via Ba), while silicon (220) and (440) paired with scintillators were effective for the shorter-lived isotopes.
期刊介绍:
Annals of Nuclear Energy provides an international medium for the communication of original research, ideas and developments in all areas of the field of nuclear energy science and technology. Its scope embraces nuclear fuel reserves, fuel cycles and cost, materials, processing, system and component technology (fission only), design and optimization, direct conversion of nuclear energy sources, environmental control, reactor physics, heat transfer and fluid dynamics, structural analysis, fuel management, future developments, nuclear fuel and safety, nuclear aerosol, neutron physics, computer technology (both software and hardware), risk assessment, radioactive waste disposal and reactor thermal hydraulics. Papers submitted to Annals need to demonstrate a clear link to nuclear power generation/nuclear engineering. Papers which deal with pure nuclear physics, pure health physics, imaging, or attenuation and shielding properties of concretes and various geological materials are not within the scope of the journal. Also, papers that deal with policy or economics are not within the scope of the journal.