title: ÐÐ±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÐ¿Ð»Ð¾ÑÐµÑ Ð½Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð½Ð°Ð´ÐµÐ¶Ð½Ð¾ÑÑÐ¸ ÑÐµÐ°ÐºÑÐ¾ÑÐ° Ñ ÑÐ°ÑÐ¾Ð²ÑÐ¼Ð¸ ÑÐ²ÑÐ»Ð°Ð¼Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸ÑÑÐ°
titleType: Subtitle
title: Substantiation of the thermal reliability of a reactor with spherical fuel rods
Creators: name: ÐÐ¾Ð½ÑÐºÐ¾Ð¹, ÐÐ²Ð³ÐµÐ½Ð¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2025
Subjects: Ð²ÑÐ³Ñ
ÑÐ°ÑÐ¾Ð²Ð¾Ð¹ ÑÐ²ÑÐ»
ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
Ð°Ð²Ð°ÑÐ¸Ñ
Ð±ÐµÐ·Ð¾Ð¿Ð°ÑÐ½Ð¾ÑÑÑ
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
htgr
spherical fuel rods
temperature field
accident
safety
numerical solution

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ¿Ð»Ð¾ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð½Ð°Ð´ÐµÐ¶Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ²ÑÐ»Ð° Ð¿ÑÐ¸ Ð½Ð¾ÑÐ¼Ð°Ð»ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸ÑÑ ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸ Ð¸ Ð°Ð²Ð°ÑÐ¸Ð¹Ð½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ, ÑÐ²ÑÐ·Ð°Ð½Ð½Ð¾Ð¼ Ñ Ð¿ÑÐµÐºÑÐ°ÑÐµÐ½Ð¸ÐµÐ¼ Ð¿ÑÐ¸Ð½ÑÐ´Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÐºÑÐ»ÑÑÐ¸Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ: 1) ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ° Ð°ÐºÑÐ¸Ð²Ð½Ð¾Ð¹ Ð·Ð¾Ð½Ñ Ð² ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ Ð¿ÑÐ¸ Ð½Ð¾ÑÐ¼Ð°Ð»ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸ÑÑ ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸; 2) ÐÐ°Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ ÐºÐ¾Ð´Ð°, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ³Ð¾ ÑÐµÑÐ°ÑÑ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÐµ Ð·Ð°Ð´Ð°ÑÐ¸ ÑÐµÐ¿Ð»Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¾ÑÑÐ¸; 3) Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐµÑÑÐ¾Ð² Ð´Ð»Ñ ÐºÐ¾Ð´Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² ÐºÐ²Ð°Ð·Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ; 4) Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ðµ ÑÑÐµÐ½Ð°ÑÐ¸Ñ Ð°Ð²Ð°ÑÐ¸Ð¸, ÑÐ²ÑÐ·Ð°Ð½Ð½Ð¾Ð³Ð¾ Ñ Ð¿ÑÐµÐºÑÐ°ÑÐµÐ½Ð¸ÐµÐ¼ Ð¿ÑÐ¸Ð½ÑÐ´Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÐºÑÐ»ÑÑÐ¸Ð¸ ÑÐµÐ¿Ð»Ð¾Ð½Ð¾ÑÐ¸ÑÐµÐ»Ñ; 5) Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ðµ UC Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ ÑÐ¾Ð¿Ð»Ð¸Ð²Ð° ÑÐ°ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ²ÑÐ»Ð°; 6) ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐµÑÐ¾Ð²; 7) ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð², Ð²ÑÐ²Ð¾Ð´ Ð¾ Ð½Ð°Ð´ÐµÐ¶Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ²ÑÐ»Ð°. ÐÑÑÐ¾Ð´Ð½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð±ÑÐ°Ð»Ð¸ÑÑ Ð¸Ð· ÐºÐ½Ð¸Ð¶Ð½ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð², ÑÐ°ÐºÐ¸Ñ ÐºÐ°Ðº [2,3,4,5,7,9,10]. ÐÐ´Ðµ ÑÐ¾Ð±Ð¸ÑÐ°Ð»Ð°ÑÑ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð°Ñ ÑÐ°ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼Ð¾Ð³Ð¾ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°: ÑÐµÐ¿Ð»Ð¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² ÑÐ²ÑÐ»Ð° Ð¸ Ð¼Ð¸ÐºÑÐ¾ÑÐ²ÑÐ»Ð°, ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐµÐ°ÐºÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸, Ð¼ÐµÑÐ¾Ð´Ñ ÑÐ°ÑÑÐµÑÐ° ÑÐµÐ¿Ð»Ð¾ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ². ÐÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð·, Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ð¹, ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ Ð²Ð»Ð¸ÑÑÑ Ð²ÑÐ¾Ð´Ð½ÑÐµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð½Ð° ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð²Ð½ÑÑÑÐ¸ ÑÐ²ÑÐ»Ð°. ÐÐ½Ð°Ð»Ð¸Ð· Ð±ÑÐ» Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ Ð´Ð²ÑÐ¼Ñ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸: Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¼, Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð±Ð°Ð·Ñ Ð´Ð°Ð½Ð½ÑÑ Ð² Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð½Ð¾Ð¹ Ð»Ð¸ÑÐµÑÐ°ÑÑÑÐµ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ Ð¿Ð¾ÑÑÐ¸ÑÐ°Ð½Ð¾ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ ÑÐ²ÑÐ»Ð° Ð¿ÑÐ¸ Ð½Ð¾ÑÐ¼Ð°Ð»ÑÐ½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸ Ð¸ Ð°Ð²Ð°ÑÐ¸Ð¹Ð½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ, ÑÐ²ÑÐ·Ð°Ð½Ð½Ð¾Ð¼ Ñ Ð¿ÑÐµÐºÑÐ°ÑÐµÐ½Ð¸ÐµÐ¼ Ð¿ÑÐ¸Ð½ÑÐ´Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÐºÑÐ»ÑÑÐ¸Ð¸ ÑÐµÐ¿Ð»Ð¾Ð½Ð¾ÑÐ¸ÑÐµÐ»Ñ. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð±ÑÐ» ÑÐ´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´ Ð¾ ÑÐµÐ¿Ð»Ð¾ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð½Ð°Ð´ÐµÐ¶Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ²ÑÐ»Ð° Ð¿ÑÐ¸ ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸ Ð½Ð° ÑÐµÐ°ÐºÑÐ¾ÑÐ½ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ°Ñ Ð¼Ð°Ð»Ð¾Ð¹ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ¸.
description: This work is devoted to substantiating the thermal reliability of a spherical fuel element under normal operating conditions and emergency conditions associated with the termination of forced circulation. Tasks that were solved during the execution of the work: 1) Conducting a thermal calculation of the core in a stationary mode under normal operating conditions; 2) Writing code to solve non-stationary thermal conductivity problems; 3) Development of a test system for the code based on an analytical solution in a quasi-stationary formulation; 4) Consideration of the accident scenario related to the termination of forced circulation of the coolant; 5) Consideration of UC as a fuel for spherical fuel rods; 6) Making calculations; 7) Analysis of the results obtained, conclusion about the reliability of the ball joint. The initial data for calculations were taken from book materials such as [2,3,4,5,7,9,10]. Where a significant part of the material used for calculations was collected: thermophysical properties of fuel elements and micro elements, structural features of the reactor plant, methods for calculating thermophysical properties. An analysis was carried out that clearly shows how the input parameters affect the temperature distribution inside the fuel element. The analysis was performed using two methods: analytical and numerical, using the database in the literature. As a result, the temperature field of the fuel element was calculated during normal operation and emergency operation associated with the termination of forced circulation of the coolant. Based on the calculations performed, it was concluded that the thermal reliability of the spherical fuel element during operation in low-power reactor installations.