Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method
The designing of NPP steam generators, which are complex technical systems, requires a large number of variant calculations, as result of which must be obtained both optimal integral characteristics of steam generators (total heat transfer surface, metal capacity, hydraulic circuits, etc.) and many...
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| Опубліковано в: : | Вопросы атомной науки и техники |
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| Дата: | 2022 |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2022
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method / O.V. Yefimov, M.M. Pylypenko, T.V. Potanina, V.L. Kavertsev, T.A. Harkusha, T.O. Yesypenko // Problems of Atomic Science and Technology. — 2022. — № 1. — С. 173-178. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859461073960173568 |
|---|---|
| author | Yefimov, O.V. Pylypenko, M.M. Potanina, T.V. Kavertsev, V.L. Harkusha, T.A. Yesypenko, T.O. |
| author_facet | Yefimov, O.V. Pylypenko, M.M. Potanina, T.V. Kavertsev, V.L. Harkusha, T.A. Yesypenko, T.O. |
| citation_txt | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method / O.V. Yefimov, M.M. Pylypenko, T.V. Potanina, V.L. Kavertsev, T.A. Harkusha, T.O. Yesypenko // Problems of Atomic Science and Technology. — 2022. — № 1. — С. 173-178. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | The designing of NPP steam generators, which are complex technical systems, requires a large number of variant calculations, as result of which must be obtained both optimal integral characteristics of steam generators (total heat transfer surface, metal capacity, hydraulic circuits, etc.) and many of their local characteristics (distributions heat flux densities and temperatures, possible amplitudes of their pulsations and others). The complexity of NPP steam generators as technical systems is determined by their multi-parameter, the presence of a complex logical and functional relationship between the parameters, the presence of various restrictions on the change of parameters, the stochastic change of parameters during exploitation. The article presents methods of mathematical modeling of thermal and hydraulic processes in NPP steam generators and modular programs of their calculations in one dimensional formulation on the example of a steam generator with countercurrent (direct current) mutual motion of the coolant and the working substance. Logical and structural schemes of computer programs of thermal and hydraulic calculations of NPP steam generators are presented.
Проектування парогенераторів АЕС, які є складними технічними системами, вимагає проведення великої кількості варіантних розрахунків, у результаті яких мають бути отримані як оптимальні інтегральні характеристики парогенераторів (загальна поверхня теплообміну, металоємність, гідравлічні опори контурів та інші), так і багато їх локальних характеристик (розподіли густини теплових потоків і температур, можливі амплітуди їх пульсацій та інші). Складність парогенераторів АЕС як технічних систем визначається їх багатопараметричністю; наявністю складного логічного і функціонального зв'язку між параметрами і різних обмежень на зміну параметрів; стохастичністю зміни параметрів під час експлуатації. У статті наведені методики математичного моделювання теплових і гідравлічних процесів у парогенераторах АЕС і модульні програми їх розрахунків у одномірній постановці на прикладі парогенератора з протитечійним (прямотечійним) взаємним рухом теплоносія і робочої речовини. Наведені логіко-структурні схеми комп’ютерних програм теплогідравлічного розрахунку парогенераторів АЕС.
Проектирование парогенераторов АЭС, являющихся сложными техническими системами, требует проведения большого количества вариантных расчетов, в результате которых должны быть получены как оптимальные интегральные характеристики парогенераторов (общая поверхность теплообмена, металлоемкость, гидравлические сопротивления контуров и др.), так и многие их локальные характеристики (распределение плотности тепловых потоков и температур, возможные амплитуды их пульсаций и др.). Сложность парогенераторов АЭС как технических систем определяется их многопараметричностью; наличиями сложной логической и функциональной связи между параметрами и разных ограничений на изменение параметров; стохастичностью изменений параметров во время эксплуатации. В статье приведены методики математического моделирования тепловых и гидравлических процессов в парогенераторах АЭС и модульные программы их расчетов в одномерной постановке на примере парогенератора с противоточным (прямоточным) взаимным движением теплоносителя и рабочего вещества. Предложены логико-структурные схемы компьютерных программ тепловых и гидравлических расчетов парогенераторов АЭС.
|
| first_indexed | 2025-11-24T03:06:52Z |
| format | Article |
| fulltext |
ISSN 1562-6016. ВАНТ. 2022. №1(137) 173
https://doi.org/10.46813/2022-137-173
UDC 621.039.5
COMPUTER SIMULATION OF THERMAL AND HYDRAULIC
PROCESSES IN NPP STEAM GENERATOR CHANNELS ON THE BASIS
OF INTERVAL-ITERATIVE METHOD
O.V. Yefimov
1
, M.M. Pylypenko
2
, T.V. Potanina
1
, V.L. Kavertsev
1
,
T.A. Harkusha
1
, T.O. Yesypenko
1
1
National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine
E-mail: AVEfimov@kpi.kharkov.ua;
2
National Science Center “Kharkov Institute of Physics and Technology”, Kharkiv, Ukraine
The designing of NPP steam generators, which are complex technical systems, requires a large number of variant
calculations, as result of which must be obtained both optimal integral characteristics of steam generators (total heat
transfer surface, metal capacity, hydraulic circuits, etc.) and many of their local characteristics (distributions heat
flux densities and temperatures, possible amplitudes of their pulsations and others). The complexity of NPP steam
generators as technical systems is determined by their multi-parameter, the presence of a complex logical and
functional relationship between the parameters, the presence of various restrictions on the change of parameters, the
stochastic change of parameters during exploitation. The article presents methods of mathematical modeling of
thermal and hydraulic processes in NPP steam generators and modular programs of their calculations in one-
dimensional formulation on the example of a steam generator with countercurrent (direct current) mutual motion of
the coolant and the working substance. Logical and structural schemes of computer programs of thermal and
hydraulic calculations of NPP steam generators are presented.
INTRODUCTION
The designing of NPP steam generators, which are
complex technical systems, requires a large number of
variant calculations, as result of which must be obtained
both optimal integral characteristics of steam generators
(total heat transfer surface, metal capacity, hydraulic
circuits, etc.) and many of their local characteristics
(distributions heat flux densities and temperatures,
possible amplitudes of their pulsations and others)
[1–7]. The complexity of NPP steam generators as
technical systems is determined by their multi-
parameter, the presence of a complex logical and
functional relationship between the parameters, the
presence of various restrictions on the change of
parameters, the stochastic change of parameters during
exploitation [9, 10]. Therefore, a sufficiently complete
system analysis of possible designs of NPP steam
generators cannot be performed without the use of
modern computer-based computing technologies and
without the creation of appropriate mathematical
models. Mathematical models of NPP steam generators
and their software implementations are subject to
certain requirements.
In particular, together with the speed, they should
provide the ability to perform optimization calculations
of steam generators of different designs in a wide range
of parameter changes and the use of different structural
materials without entering additional initial data and
changes in programs.
Thermal and hydraulic calculations of steam
generators are the first basic calculations at the stage of
their design, providing initial information for further
calculations of strength and technical and economic
indicators.
According to the degree of detail of the received
information, thermal and hydraulic calculations of
steam generators should be divided into estimated, one-
dimensional, two-dimensional and three-dimensional.
For the purpose of the received information on those
intended for definition of geometrical characteristics of
steam generators at the set parameters (constructive
calculations), for definition of parameters of steam
generators on various operating modes at their set
designs (check calculations), for definition of optimum
mode characteristics of steam generators (optimization
calculations). It should be noted that computer programs
for thermal and hydraulic calculations of steam
generators, created on the basis of mathematical
modeling, are widely used in automated control systems
of power units during their operation at existing NPPs,
to predict changes in parameters, functional diagnostics,
reliability and residual life nodes, optimization of steam
generators.
In order to create a unified program, which includes
various modifications of thermal and hydraulic
calculations, as a rule, a set of software modules is
developed, which can be assembled using a control
program, just such a set of programs that is needed to
solve this particular problem. The positive side of the
modular organization of programs is the ability to
quickly adjust them when changing the purpose and
detailing the calculations by changing the initial data in
the modules or their replacement.
Consider the methods of mathematical modeling of
thermal and hydraulic processes in NPP steam
generators and modular programs for their calculations
in one-dimensional formulation on the example of a
steam generator with countercurrent (direct current)
mutual motion of the coolant and the working
substance.
174 ISSN 1562-6016. ВАНТ. 2022. №1(137)
For steam generators with countercurrent or direct-
flow mutual movement of the coolant and the working
substance (or with equivalent multi-stroke motion)
thermal and hydraulic calculations are largely reduced
to the calculation of a single steam-generating channel
[1, 3]. In modern mathematical models in the case of
one-dimensional calculation of the problem of heat
transfer and hydraulic processes in the steam-generating
channel are described mainly by a set of dependences
below.
Equation of heat balance in the steam-generating
channel:
∫
∫
; (1)
)( 021
1
0
iiGdtcG
t
t
p . (2)
The equation of heat transfer in the steam-generating
channel:
)( 21 ttkq ; (3)
, (4)
where the thermal support of the tubes walls;
– the thermal support of the layer of oxide pellicles;
– the thermal support of the layer of sediments.
Equations for determining the pressure and
hydraulic resistance in the steam-generating channel
along the paths of the coolant and the working
substance:
∑ ∫
, (5)
where
. (6)
Dependences of connection of temperatures of feed
water і пари with their enthalpies , and
pressures , in the steam generating channel:
(7)
Dependencies that determine the values of
thermophysical properties of the coolant, working
substance and structural materials as a function of their
temperature t and pressure P in the steam generating
channel:
{ } . (8)
Dependences for calculations of heat transfer
coefficients on the sides of the coolant and the
working substance in the functions of their
determining parameters in the steam generating channel:
; (9)
. (10)
Dependences for the calculation of the coefficients
of hydraulic resistance to the flow of the coolant and the
working substance and the true volumetric vapor
content of the steam-water mixture as a function of the
flow parameters in the steam-generating channel:
; (11)
. (12)
Dependencies that determine the limits of heat
transfer modes from the feed water and steam in the
steam-generating channel:
0...),,,( pwxqF . (13)
In these dependencies there are no values associated
with heat loss to the environment and energy
dissipation. If necessary, they can be entered into the
equation (1), (2).
In the mathematical model of the dependence of the
form (1)–(13) determine the solution of the one-
dimensional problem of thermal and hydraulic
calculations of the steam generator of any design when
specifying the equations (7)–(13). The latter are either
an adequate description of the tables of thermodynamic
and thermophysical properties of substances and
materials (equations (7), (8)), or empirical or semi-
empirical dependences (equation (11)–(13)). The
specific form of equations (7)–(13) depends on the type
and design features of steam generators, parameters and
types of coolants and working substances used,
construction materials used, operating factors. The
interval-iterative method is used to solve the system of
equations (1)–(13) in the mathematical model. The
temperature of the heat carrier at the entrance to the
steam generating channel t1 is taken as an independent
variable. The range of its complete change in the
channel to the outlet temperature t2 is divided into N
intervals determined by the nodes of the partition
Ti, where i = 0, 1, 2, … k – the node number. Assuming
that the heat flux density within the intervals varies
linearly, and introducing for the values of the specific
isobaric heat capacity of the coolant and the heat flux
density designation
, (14)
,( 1) 10.5( )i i i iq q q , (15)
you can write equations (1) and (2) in the form
i
k
i
k kk
kkkp
в
ki
q
t c
d
G
z z
1 1 )1(,
11,1
; (16)
i
k
i
k
kkkpki t c
G
G
ii ii
1 1
11,
2
1
00 . (17)
Assuming ⁄ a constant value within the
interval the considered, equation (5) is written as
i
k
ki P PP
0
0
0 M
1 01
i i
k jk
k kk
dP
P z P
dz
, (18)
where j – the number of the node corresponding to the
element of the path having a local hydraulic resistance
; at and at ;
. (19)
ISSN 1562-6016. ВАНТ. 2022. №1(137) 175
Fig. 1. Logical-structural scheme of the program of thermohydraulic calculation of the NPP steam generator with
countercurrent (direct-flow) scheme of mutual movement of the heat carrier and working substance
Yes
Calculation α from the
coolant side
Calculation properties
of heat carrier
Calculation α from the side of water or vapor
Calculation Rw, Rsedim, R p
Calculation k, q, tT
No
No
Crisis
found?
Yes
No 𝑘𝑐𝑟
(Crisis
found)
No
oo
Calculation ∆P
Yes
No
Calculation of water or steam
properties on the saturation line
Assign initial
values
Start
Calculation heat capacity
of the coolant
𝑡 ≤ 𝑡 𝑒𝑛𝑡𝑟𝑎𝑛𝑠𝑒
End
Yes
𝑡 ≤ 𝑡 𝑜𝑢𝑡
No
Calculation of 𝑞𝑐𝑟
Yes
Yes
Crisis
found
176 ISSN 1562-6016. ВАНТ. 2022. №1(137)
The calculation is performed sequentially, from node
to node. For each node, knowing the equations (7)
and (17) are calculated the corresponding values .
Then the values are determined , ,
, ik , iq ,
, ⁄ .
Since equations (8)–(13), which determine these
values, are nonlinear, the calculation is performed by
the method of successive approximations with a given
accuracy of convergence in heat flux density, i.e. until
the condition
1
.
h h
i i
h
i
q q
q
(20)
Top indexes in formula (20) indicate the iteration
number. According to the values found qi and qi-1 , are zi
in formula (16) and Pi in formula (18).
The calculation ends after reaching the final node,
i.e. the limit value of the coolant temperature at the
outlet of the steam-generating channel t2.
The above method solves the problem of direct
structural calculation of thermal and hydraulic
processes. To solve the inverse problem, other methods
of solving the system of equations (1)–(13) and other
computational algorithms are used. The solution of the
inverse problem can be obtained by performing a direct
calculation with the introduction of variation of one of
the defined parameters. There are different algorithms
for finding the solution of the inverse problem. For
example, the method of gradient search for a solution
with a given accuracy of convergence along the length
of the channel l. But such a mathematical method is not
effective enough to calculate steam-generating channels
with low temperature pressures, when to satisfy the
condition
| | ≤ (21)
almost impossible due to the contradiction between the
actual accuracy of the calculation and the specified
value . It is more convenient to set the condition of the
end of the calculation in the form
. (22)
In this case, the accuracy of the solution of the
inverse problem is completely determined by the step of
the calculation scheme.
The logical-structural scheme of the program of
constructive thermohydraulic calculation of the
countercurrent (direct-flow) steam generator, which
provides the solution of the systems of equations
(1)–(13), is shown in Fig. 1.
This program uses separate subroutines-modules that
implement the following calculations: parameters of
thermodynamic and thermophysical properties of water
and water vapor; parameters of thermodynamic and
thermophysical properties of the coolant; coefficients of
linear expansion and thermal conductivity of structural
materials; heat transfer coefficients from water and
steam; heat transfer coefficients from the heat carrier;
thermal resistance of heat exchange tubes; conditions of
transition to the worsened heat exchange from water and
steam; pressure gradients along the paths of the coolant
and the working substance. Each of the subroutines has
its own internal logical structure, which provides a
choice of the currently required calculation of
mathematical relations. In particular, when calculating
the heat transfer coefficients and , it is necessary
to take into account the differences in the modes of heat
removal in different elements (areas of the heat transfer
surface) of the steam generator.
This condition in mathematical modeling is most
fully met by the method of dividing the steam generator
into the following zones:
– economizer zone: wt FNu Pr,Re,
1
; area of
existence of the zone: tw < tS;
– boiling zone of heated liquid (surface boiling):
α = α(α, αboil, ∆t); area of existence of the zone: x < 0,
tw > tS;
– the zone of the developed boiling of steam-water
mix: α = α(q P, ρw, x); area of existence of the zone:
0 < x < xcr;
– “closed” zone of impaired heat transfer: α = α(q P,
ρw, x); area of existence of the zone: xcr < x< 1;
– steam overheating zone: wt FNu Pr,Re,2 ; area
of existence of the zone: x > 1.
This division into zones corresponds, for example, to
the logical-structural scheme of the subroutine of the
module for calculating the heat transfer coefficients on
the water and steam side, shown in Fig. 2, which is
included as a separate unit in the program of
thermohydraulic calculation of the steam generator (see
Fig. 1).
CONCLUSIONS
The methods of mathematical modeling of thermal
and hydraulic processes and the programs of their
calculations on the computer are suitable for designs of
steam generators in which the scheme of mutual
movement of the heat carrier and working substance is
countercurrent or direct-flow. For designs of steam
generators with more complex mutual movement of the
coolant and the working substance, these techniques can
be used only with the introduction of correction factors.
ISSN 1562-6016. ВАНТ. 2022. №1(137) 177
Fig. 2. Logical-structural scheme of the subroutine of the module of calculations of heat transfer coefficients from
water and steam in steam-generating channels of NPP steam generators
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3. A.P. Kovalev. Steam generators. M.: „Energo-
atomizdat”, 1985, 376 p.
4. T.H. Margulova. Calculation and design of steam
generators of nuclear power plants. M.: “Energoizdat”,
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5. P.A. Andreev, M.I. Greenman, Yu.W. Smolkin.
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6. E.F. Ratnikov. Installation of NPP equipment.
Sverdlovsk: “UPI”, 1985, 75 p.
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materials, processes and calculations of reactors and
steam generators of NPPs: Textbook manual. Kharkiv:
NTU “KhPI”, 2009, 307 p.
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T.A. Harkusha, V.L. Kavertsev. Automated decision
support for operating personnel of NPP power units by
the criterion of technical and economic efficiency,
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Radiation Safety. 2018, N 2(78), p. 11-19.
9. O.V. Yefimov, M.M. Pylypenko, T.V. Potanina,
V.L. Kavertsev, T.A. Harkusha. Reactors and steam
generators of NPP power units: schemes, processes,
materials, structures, models. Kharkiv: LTD “Inf ”,
2017, 420 p.
10. O. Yefimov, M. Pylypenko, T. Potanina.
Materials and decision support systems in the nuclear
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Publishing. Riga, Latvia, 2020, 135 p.
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Article received 27.10.2021
Calculation α in the zone
superheated steam
Calculation α
in the crisis zone
No
Yes
Yes
No
End
Start
Crisis
found?
Calculation of water properties
пари
Calculation α at
developed boiling
178 ISSN 1562-6016. ВАНТ. 2022. №1(137)
КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ ТЕПЛОВЫХ И ГИДРАВЛИЧЕСКИХ
ПРОЦЕССОВ В КАНАЛАХ ПАРОГЕНЕРАТОРОВ АЭС
НА ОСНОВЕ ИНТЕРВАЛЬНО-ИТЕРАЦИОННОГО МЕТОДА
А.В. Ефимов, Н.Н. Пилипенко, Т.В. Потанина, В.Л. Каверцев, Т.А. Гаркуша, Т.А. Есипенко
Проектирование парогенераторов АЭС, являющихся сложными техническими системами, требует
проведения большого количества вариантных расчетов, в результате которых должны быть получены как
оптимальные интегральные характеристики парогенераторов (общая поверхность теплообмена,
металлоемкость, гидравлические сопротивления контуров и др.), так и многие их локальные характеристики
(распределение плотности тепловых потоков и температур, возможные амплитуды их пульсаций и др.).
Сложность парогенераторов АЭС как технических систем определяется их многопараметричностью;
наличиями сложной логической и функциональной связи между параметрами и разных ограничений на
изменение параметров; стохастичностью изменений параметров во время эксплуатации. В статье приведены
методики математического моделирования тепловых и гидравлических процессов в парогенераторах АЭС и
модульные программы их расчетов в одномерной постановке на примере парогенератора с противоточным
(прямоточным) взаимным движением теплоносителя и рабочего вещества. Предложены логико-структурные
схемы компьютерных программ тепловых и гидравлических расчетов парогенераторов АЭС.
КОМП’ЮТЕРНЕ МОДЕЛЮВАННЯ ТЕПЛОВИХ І ГІДРАВЛІЧНИХ ПРОЦЕСІВ
У КАНАЛАХ ПАРОГЕНЕРАТОРІВ АЕС
НА ОСНОВІ ІНТЕРВАЛЬНО-ІТЕРАЦІЙНОГО МЕТОДУ
О.В. Єфімов, М.М. Пилипенко, Т.В. Потаніна, В.Л. Каверцев, Т.А. Гаркуша, Т.О. Єсипенко
Проектування парогенераторів АЕС, які є складними технічними системами, вимагає проведення великої
кількості варіантних розрахунків, у результаті яких мають бути отримані як оптимальні інтегральні
характеристики парогенераторів (загальна поверхня теплообміну, металоємність, гідравлічні опори контурів
та інші), так і багато їх локальних характеристик (розподіли густини теплових потоків і температур, можливі
амплітуди їх пульсацій та інші). Складність парогенераторів АЕС як технічних систем визначається їх
багатопараметричністю; наявністю складного логічного і функціонального зв'язку між параметрами і різних
обмежень на зміну параметрів; стохастичністю зміни параметрів під час експлуатації. У статті наведені
методики математичного моделювання теплових і гідравлічних процесів у парогенераторах АЕС і модульні
програми їх розрахунків у одномірній постановці на прикладі парогенератора з протитечійним
(прямотечійним) взаємним рухом теплоносія і робочої речовини. Наведені логіко-структурні схеми
комп’ютерних програм теплогідравлічного розрахунку парогенераторів АЕС.
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| id | nasplib_isofts_kiev_ua-123456789-195924 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-11-24T03:06:52Z |
| publishDate | 2022 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Yefimov, O.V. Pylypenko, M.M. Potanina, T.V. Kavertsev, V.L. Harkusha, T.A. Yesypenko, T.O. 2023-12-08T11:16:00Z 2023-12-08T11:16:00Z 2022 Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method / O.V. Yefimov, M.M. Pylypenko, T.V. Potanina, V.L. Kavertsev, T.A. Harkusha, T.O. Yesypenko // Problems of Atomic Science and Technology. — 2022. — № 1. — С. 173-178. — Бібліогр.: 12 назв. — англ. 1562-6016 DOI: https://doi.org/10.46813/2022-137-173 https://nasplib.isofts.kiev.ua/handle/123456789/195924 621.039.5 The designing of NPP steam generators, which are complex technical systems, requires a large number of variant calculations, as result of which must be obtained both optimal integral characteristics of steam generators (total heat transfer surface, metal capacity, hydraulic circuits, etc.) and many of their local characteristics (distributions heat flux densities and temperatures, possible amplitudes of their pulsations and others). The complexity of NPP steam generators as technical systems is determined by their multi-parameter, the presence of a complex logical and functional relationship between the parameters, the presence of various restrictions on the change of parameters, the stochastic change of parameters during exploitation. The article presents methods of mathematical modeling of thermal and hydraulic processes in NPP steam generators and modular programs of their calculations in one dimensional formulation on the example of a steam generator with countercurrent (direct current) mutual motion of the coolant and the working substance. Logical and structural schemes of computer programs of thermal and hydraulic calculations of NPP steam generators are presented. Проектування парогенераторів АЕС, які є складними технічними системами, вимагає проведення великої кількості варіантних розрахунків, у результаті яких мають бути отримані як оптимальні інтегральні характеристики парогенераторів (загальна поверхня теплообміну, металоємність, гідравлічні опори контурів та інші), так і багато їх локальних характеристик (розподіли густини теплових потоків і температур, можливі амплітуди їх пульсацій та інші). Складність парогенераторів АЕС як технічних систем визначається їх багатопараметричністю; наявністю складного логічного і функціонального зв'язку між параметрами і різних обмежень на зміну параметрів; стохастичністю зміни параметрів під час експлуатації. У статті наведені методики математичного моделювання теплових і гідравлічних процесів у парогенераторах АЕС і модульні програми їх розрахунків у одномірній постановці на прикладі парогенератора з протитечійним (прямотечійним) взаємним рухом теплоносія і робочої речовини. Наведені логіко-структурні схеми комп’ютерних програм теплогідравлічного розрахунку парогенераторів АЕС. Проектирование парогенераторов АЭС, являющихся сложными техническими системами, требует проведения большого количества вариантных расчетов, в результате которых должны быть получены как оптимальные интегральные характеристики парогенераторов (общая поверхность теплообмена, металлоемкость, гидравлические сопротивления контуров и др.), так и многие их локальные характеристики (распределение плотности тепловых потоков и температур, возможные амплитуды их пульсаций и др.). Сложность парогенераторов АЭС как технических систем определяется их многопараметричностью; наличиями сложной логической и функциональной связи между параметрами и разных ограничений на изменение параметров; стохастичностью изменений параметров во время эксплуатации. В статье приведены методики математического моделирования тепловых и гидравлических процессов в парогенераторах АЭС и модульные программы их расчетов в одномерной постановке на примере парогенератора с противоточным (прямоточным) взаимным движением теплоносителя и рабочего вещества. Предложены логико-структурные схемы компьютерных программ тепловых и гидравлических расчетов парогенераторов АЭС. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Physics and technology of structural materials Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method Комп'ютерне моделювання теплових і гідравлічних процесів у каналах парогенераторів АЕС на основі інтервально-ітераційного методу Компьютерное моделирование тепловых и гидравлических процессов в каналах парогенераторов АЭС на основе интервально-итерационного метода Article published earlier |
| spellingShingle | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method Yefimov, O.V. Pylypenko, M.M. Potanina, T.V. Kavertsev, V.L. Harkusha, T.A. Yesypenko, T.O. Physics and technology of structural materials |
| title | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method |
| title_alt | Комп'ютерне моделювання теплових і гідравлічних процесів у каналах парогенераторів АЕС на основі інтервально-ітераційного методу Компьютерное моделирование тепловых и гидравлических процессов в каналах парогенераторов АЭС на основе интервально-итерационного метода |
| title_full | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method |
| title_fullStr | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method |
| title_full_unstemmed | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method |
| title_short | Computer simulation of thermal and hydraulic processes in NPP steam generator channels on the basis of interval-iterative method |
| title_sort | computer simulation of thermal and hydraulic processes in npp steam generator channels on the basis of interval-iterative method |
| topic | Physics and technology of structural materials |
| topic_facet | Physics and technology of structural materials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/195924 |
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