title: Ð Ð°ÑÑÐµÑÐ½Ð¾Ðµ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÐ¾Ð±Ñ Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÐ¸ Ð²Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð¿ÑÐ°Ð²ÐºÐ¸ Ð¿ÑÐ¸ Ð¾ÑÐµÐ½ÐºÐµ ÑÐµÑÐµÐ· Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¿ÐµÑÐ¸Ð¾Ð´ ÑÐµÐ°ÐºÑÐ¾ÑÐ° Ð¸ ÑÐ¾ÑÐ¼ÑÐ»Ñ Ð¾Ð±ÑÐ°ÑÐ½ÑÑ ÑÐ°ÑÐ¾Ð² Ð³ÑÐ°Ð½Ð¸ÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ Ð£Ð Ð±ÐµÐ· Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð³Ð¾
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: The computational justification for the need to introduce an amendment in the evaluation through the asymptotic period of the reactor and the formula of the reverse clock limits the applicability of the ORC method without a differential term
Creators: name: ÐÐ¿ÐµÑÐ¸Ð½, ÐÐ½Ð°ÑÐ¾Ð»Ð¸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: 2023
Subjects: Ð¯Ð´ÐµÑÐ½ÑÐµ ÑÐµÐ°ÐºÑÐ¾ÑÑ
Ð¾Ð±ÑÐ°ÑÑÐ½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÐºÐ¸Ð½ÐµÑÐ¸ÐºÐ¸
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¾Ð±ÑÐ°ÑÐ½ÑÑ ÑÐ°ÑÐ¾Ð²
ÑÐµÑÐµÐ½Ð¸Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÑÐ¾ÑÐµÑÐ½Ð¾Ð¹ ÐºÐ¸Ð½ÐµÑÐ¸ÐºÐ¸
Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¿ÐµÑÐ¸Ð¾Ð´ ÑÐµÐ°ÐºÑÐ¾ÑÐ°
Ð²ÑÐµÐ¼Ñ Ð¶Ð¸Ð·Ð½Ð¸ Ð¼Ð³Ð½Ð¾Ð²ÐµÐ½Ð½ÑÑ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð¾Ð²
ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð°Ñ Ð´Ð¾Ð»Ñ Ð·Ð°Ð¿Ð°Ð·Ð´ÑÐ²Ð°ÑÑÐ¸Ñ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð¾Ð²
ÑÐµÐ°ÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ
Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð°
ÑÐ°ÑÑÑÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
reversed solution of the kinetic equation
inverse clock equation
solution of the point kinetics equation
asymptotic reactor period
lifetime of instantaneous neutrons
effective fraction of delayed neutrons
reactivity
program
computational modeling

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð¾Ð¿ÑÐ¾ÑÐ° Ð¼Ð°Ð»Ð¾ÑÑÐ¸ ÑÐ»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð³Ð¾, ÐºÐ¾ÑÐ¾ÑÐ¾Ðµ Ð² Ð¼ÐµÑÐ¾Ð´Ðµ ÐÐ Ð£Ð Ð¾ÑÑÐ°Ð¶Ð°ÐµÑ Â«Ð¼Ð³Ð½Ð¾Ð²ÐµÐ½Ð½Ð¾ÐµÂ» Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ° ÑÐµÑÐµÐ· ÐµÐ³Ð¾ Ð¿ÐµÑÐ²ÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð½ÑÑ (Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð³Ð¾). Ð¦ÐµÐ»ÑÑ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¾ Ð¿Ð¾Ð´ÑÐ²ÐµÑÐ´Ð¸ÑÑ, ÑÑÐ¾ ÑÐµÑÐµÐ· Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¿ÐµÑÐ¸Ð¾Ð´ ÑÐµÐ°ÐºÑÐ¾ÑÐ° Ð¸ ÑÐ¾ÑÐ¼ÑÐ»Ñ Ð¾Ð±ÑÐ°ÑÐ½ÑÑ ÑÐ°ÑÐ¾Ð² Ð¼Ð¾Ð¶Ð½Ð¾ Ð¾ÑÐµÐ½Ð¸Ð²Ð°ÑÑ Ð³ÑÐ°Ð½Ð¸ÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ Ð£Ð Ð±ÐµÐ· Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð³Ð¾. ÐÑÐ»Ð¾ Ð²ÑÐ²ÐµÐ´ÐµÐ½Ð¾ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ðµ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ðµ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð³ÑÐ°Ð½Ð¸ÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸. ÐÐ³Ð¾ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ¾Ð¼ Ð±ÑÐ»Ð¾ ÑÐ¾, ÑÑÐ¾ Ð¾Ð½ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑ Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐµÐ°ÐºÑÐ¾ÑÐ°. Ð ÑÐ¾ Ð¶Ðµ Ð²ÑÐµÐ¼Ñ ÑÐµÐ°Ð»ÑÐ½ÑÐ¹ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑ Ð·Ð° Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½ÑÐ¹ Ð¿ÑÐ¾Ð¼ÐµÐ¶ÑÑÐ¾Ðº Ð²ÑÐµÐ¼ÐµÐ½Ð¸. ÐÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð°, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ°Ñ Ð¾ÑÐµÐ½Ð¸ÑÑ Ð³ÑÐ°Ð½Ð¸ÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð´Ð»Ñ ÐºÐ¾ÑÐ¾ÑÐºÐ¸Ñ Ð²ÑÐµÐ¼ÐµÐ½. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¾Ð±Ð¾Ð¸Ñ Ð¾ÑÐµÐ½Ð¾Ðº Ð±ÑÐ»Ð¸ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ð¼ÐµÐ¶Ð´Ñ ÑÐ¾Ð±Ð¾Ð¹. ÐÑÐ»Ð° Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð° Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ÑÑÑ Ð²Ð½ÐµÑÐµÐ½Ð¸Ñ ÐºÐ¾Ð½ÑÐµÑÐ²Ð°ÑÐ¸Ð²Ð½Ð¾Ð¹ Ð¿Ð¾Ð¿ÑÐ°Ð²ÐºÐ¸ Ð² Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ðµ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ðµ Ð´Ð»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð²ÐµÑÑÐ½ÐµÐ¹ Ð³ÑÐ°Ð½Ð¸ÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° ÐÐ Ð£Ð Ð±ÐµÐ· Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð³Ð¾.
description: This work is devoted to the study of the smallness of the term, which in the ORUK method reflects the "instantaneous" change in the neutron flux through its first derivative (differential term). The aim of the work was to confirm that through the asymptotic period of the reactor and the inverse clock formula, it is possible to estimate the limit of applicability of the ORC method without a differential term. An analytical relation was derived to determine the applicability boundary. Its disadvantage was that it uses the asymptotic behavior of the reactor. At the same time, a real experiment is conducted in a limited period of time. A program has been developed to assess the applicability limit for short periods. The results of both assessments were compared with each other. The necessity of making a conservative correction to the analytical ratio to determine the upper bound of the applicability of the ORC method without a differential term was justified.