Losses, heating in tank covers of transformers
The main approaches to analytical estimations and three-dimensional modeling by finite element method of electromagnetic and thermal processes in the tank covers using ANSYS software are presented. The results of an investigation of three-dimensional constructions of tank covers of three-phase trans...
Gespeichert in:
| Veröffentlicht in: | Технічна електродинаміка |
|---|---|
| Datum: | 2013 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут електродинаміки НАН України
2013
|
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/62355 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Losses, heating in tank covers of transformers / A.V. Basova, V.F. Ivankov, I.V. Khimiuk // Технічна електродинаміка. — 2013. — № 4. — С. 74–80. — Бібліогр.: 6 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859754631780892672 |
|---|---|
| author | Basova, A.V. Ivankov, V.F. Khimiuk, I.V. |
| author_facet | Basova, A.V. Ivankov, V.F. Khimiuk, I.V. |
| citation_txt | Losses, heating in tank covers of transformers / A.V. Basova, V.F. Ivankov, I.V. Khimiuk // Технічна електродинаміка. — 2013. — № 4. — С. 74–80. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Технічна електродинаміка |
| description | The main approaches to analytical estimations and three-dimensional modeling by finite element method of electromagnetic and thermal processes in the tank covers using ANSYS software are presented. The results of an investigation of three-dimensional constructions of tank covers of three-phase transformers taking into account not only the magnetic fields in taps, but also the leakage fields in windings, are provided.
Представлено основні підходи до аналітичних оцінок і тривимірного моделювання методом скінчених елементів електромагнітних і теплових процесів в областях кришок бака з використанням програмного забезпечення ANSYS. Наведено результати досліджень тривимірних конструкцій кришок баків трифазних трансформаторів, що враховують не лише магнітні поля відведень, але і поля розсіювання обмоток
Представлены основные подходы к аналитическим оценкам и трехмерному моделированию методом конечных элементов электромагнитных и тепловых процессов в областях крышек бака с использованием программного обеспечения ANSYS. Приведены результаты исследований трехмерных конструкций крышек баков трехфазных трансформаторов, учитывающих не только магнитные поля отводов, но и поля рассеивания обмоток
|
| first_indexed | 2025-12-02T00:47:32Z |
| format | Article |
| fulltext |
74 ISSN 1607-7970. Техн. електродинаміка. 2013. № 4
УДК 621.314
LOSSES, HEATING IN TANK COVERS OF TRANSFORMERS
1 A.V.Basova, 1V.F.Ivankov, 2I.V.Khimjuk
1 − PJSC "Zaporozhtransformator",
Dnipropetrovske shose, 3, Zaporizhia, 69600, Ukraine.
2 − Institute of Electrodynamics of National Academy of Science of Ukraine,
Peremogy, 56, Kyiv-57, 03680, Ukraine,
e-mail: vsi@ied.org.ua
The main approaches to analytical estimations and three-dimensional modeling by finite element method of
electromagnetic and thermal processes in the tank covers using ANSYS software are presented. The results of an
investigation of three-dimensional constructions of tank covers of three-phase transformers taking into account not only
the magnetic fields in taps, but also the leakage fields in windings, are provided. Referances 6, figures 16.
Keywords: powerful electrical transformer, losses, heating, three-dimensional modeling.
1. Introduction. Up to date in the development of powerful transformers the problems of tanks
protection from the intensive leakage magnetic fields in the windings and taps remain urgent. To reduce the
losses in the tanks’ zones of structural ferromagnetic steel, the electromagnetic screens of copper and
aluminum, the magnetic screens of electrical steel packages (shunts) are traditionally used [1].
The detailed analysis of the papers devoted to the problems of experimental investigations and the
development of methods for calculating losses and heating in tanks and other parts of transformers is
presented in [2]. Thus the problem of designing an optimal structure of tank cover in the zone, where the taps
with considerable currents are located, is one of the most complex problems so far.
In [3] it is shown that under the existing overall restrictions the combination of measures is effective.
These are the optimal construction execution of windings and taps, the application of electromagnetic
screens, the development of tanks’ covers and walls of non-magnetic steel, the optimal taps location relative
to the holes in input boxes’ covers. Also, the effectiveness of eddy currents reducing is demonstrated by
arranging the electrical steel package on nonmagnetic cover. The packages are perpendicular to the taps, and
their length is less than the width of cover. This is the difference between these packages and traditional
shunts on the ferromagnetic tank walls.
Results given in [3] are based on the data received from transformers testing, experimental
investigations of physical analogues, and design analysis of basic computable models [4].
The models that allow the analytical solutions are plate models of nonmagnetic steel in the preset
field of free taps that contact with ferromagnetic electrical steel packages periodically distributed on the plate
surface with circular cutouts to output the taps from the tank.
In order to define the main factors influencing the problem
statement of complex analysis using finite element method (FEM)
a brief description of the mentioned models is provided in the
paper. Also the investigation results of electromagnetic and thermal
processes in the three-dimensional construction of transformer’s
tank cover taking into account either the magnetic field in taps and
the leakage fields in windings are given. When investigating the
FEM-modeling represented in [5] was used.
The cross-section of the top of high-power transformer is
shown on the Fig. 1, where: 1 – winding taps’ sections of lower voltage
(LV) perpendicular to the tank cover; 2 – horizontal sections of LV taps
of adjacent phases; 3 – non-magnetic insert; 4 – LV bushing box; 6 –
ferromagnetic tank wall; 7 – ferromagnetic tank cover. When doing an
analytical analysis a given construction determines the necessity of
consideration of several boundary problems for infinite plates with
different conductivities; plates contacting with ferromagnetic ones;
rectangular plate with discrete packages of silicon-sheet steel; plates with circular holes; and so on.
2. Mathematical statement of analytical problems. In [4] for the nonmagnetic plate with thickness
d, electrical conduction σ and tangent to plate surface of electric field component Eτ
r& , the surface current
© Basova A.V., Ivankov V.F., Khimiuk I.V., 2013
Fig. 1
ISSN 1607-7970. Техн. електродинаміка. 2013. № 4 75
density is determined as j d Eτ τ= σ
rr
, and for ferromagnetic plate it is determined as /j E Zτ τ=
rr & & , where Z& is
the surface impedance. To determine the eddy currents, the potential U is introduced to ( )j rot nUτ =
r
, where
n is plate normal. From Maxwell equations at excitation with a circular frequency 2 fω = π and t i∂ ∂ = − ω
the U will get such Poisson’s equations as: in nonmagnetic plate – nU i d BΔ = − ω σ , in ferromagnetic –
/nU i B ZΔ = − ω & , where nB is normal magnetic field component of plate surface.
For the basic models under consideration the boundary conditions are determined. At the outer
contour l that conducts bodies the normal eddy current component is missed, i.e. / 0U l∂ ∂ = . If there are
cutouts with contour L , the tangent integral to the contour of electric field intensity component is linked in
the nonmagnetic plate with the external field flow nΦ , that enters this contour area by normal
( ) n
L
U n dl i d∂ ∂ = ω σΦ∫ . On the line l of the contact of nonmagnetic plate with ferromagnetic continuity
regarding the field El , the condition for potential 1 1
0 0
/ /
l l
d U n Z U n− −
+ −
σ ∂ ∂ = ∂ ∂& is determined.
Contacting infinite plates. The draft of a computing model is shown on Fig. 2.
The nonmagnetic plate with d , σ parameters
contacts in a butt joint with two parts of constructional
ferromagnetic steel with impedances 1 3,Z Z& & . The tap
field with the current I at the plate surface y = 0 is
( )2 2
0( )2 / ,n a aB z I z h zπ = μ + where az z a= − .
On the basis of mathematical statement in the
p. 2.1 the solution of one-dimensional boundary-value
problem for this model is given in [4]. The particular
case of this model is the model of infinite free plate.
2.1. Eddy currents in the nonmagnetic plate with the electrical steel packages on its surface. In [3]
by physical model investigations it is shown that in this case directly on the plate the exciting filed between
the packages insignificantly differs from the tap’s primary field, while under the packages the field reverses
its direction to an opposite one. It can be explained by an edge effect of discrete pack, the length of which is
less than width l of nonmagnetic plate (Fig. 3). Thereby, the field on the plate in the areas 1,...,k K= can be
represented as a piecewise constant function ,( , ) ( )n n kB x z B z= .
For potential U the equation U PΔ = with conditions on the outer boundary 0
Г
U = takes place. In
the areas between the packages and under them ( )1, 2,;k k kt x x= , ( )k nkP i d B z= − ω σ . It is assumed that the
field distribution in each area can be represented as a periodic function, that is why in [4] the problem
solution is represented as
1
( )sinm m
m
U U x z
∞
=
= ν∑ , where /m m lν = π .
The coefficients mU are the problem solutions
2
2
2
,
0,
,
km
m m
m k k
x td U U
i d B x td x
∉⎧⎪− ν = ⎨− ω σ ∈⎪⎩
; 0
0
=
= b,xmU ,
where Bm k, are the expansion coefficients in Fourier series of the
distribution B zn k, ( ) . The components of the eddy current are defined
by / ,xj U z= ∂ ∂ / .zj U x= −∂ ∂ ratios.
2.2. Nonmagnetic plate with circular cutout. For the purpose of assessment of the circular cutouts
influence on the eddy current distribution in nonmagnetic plate the model showed in Fig. 4 is considered.
Following the statement from p. 2.1, the boundary-value problem for the potential U can be represented as
,nU i d BΔ = − ω σ 0
Г
U = ,
L
U C=
(
, ( )/ n
L S
U n dl d i B ds∂ ∂ = −σ ω∫ ∫ . Its solution is represented as the sum
of (0)U U W= + where U ( )0 is the problem solution for infinite nonmagnetic plate and is a particular case of
Fig. 2
Fig. 3
76 ISSN 1607-7970. Техн. електродинаміка. 2013. № 4
the p. 2.1 model. An additional potential W is defined from the
solution of boundary-value problem such as Laplace's equation
0WΔ = with boundary conditions on the plate sides
,
0
z l l
W
= −
= ,
with symmetry conditions
0
/ 0
x
W x
=
∂ ∂ = , and with conditions on
a contour L of the internal cutout (0)
L
W C U= −
(
, 0
L
W dl
n
∂
=
∂∫ .
The value of additional potential is represented as the sum of
,
1
( , ) ( , , )
N
n n n
n
W x z A G x z x z
=
= ∑ , where the Green function
1
1
( ) ( )exp( )l m m n l n
m
G m S z S z m x x
∞
−
=
= − −∑ , when /(2 )lm m l= π , ( ) sin ( ),m lS z m z l= + ( ) sin ( )m n l nS z m z l= + ,
/(2 )lm m l= π . The coefficients nA and constant C
(
are found with collocation method at the nn z,x points of
the R circumference. The eddy currents in the plate with a cutout are (0) /x xj j W z= − ∂ ∂ , /zj W x= ∂ ∂ .
In [4] the statements and numerically-analytical solutions of boundary problems for rectangular
insert-plate in the tank cover with a circular cutouts system, for the plate with cutouts and packages of
silicon-sheet steel, and for the specified plates that additionally contact with ferromagnetic tank parts, were
also considered.
3. Investigation of eddy currents and taps’ losses on the full-
scale model in the tank For the purposes of investigation of tank cover
heat for different variants of high-current taps locations, the
experimental investigations on the full-scale model of transformer
tank cover with 1000 MVA power were conducted. The model
corresponded to the draft on Fig. 1, but without the imitation of
magnetic system and windings. The tap current was 14 kA. The
distance from tap axis to the cover surface was 0.15 m.
Measured by thermocouple the heats of non-magnetic plate
inserts along the line I between two pairs of holes are shown on the
Fig. 5,a). The graphs and draft signs correspond to four variants of
taps implementation and location: 1 – the tap passes above the axis of
holes, 2 – the tap is shifted 0.15 m to the left, 3 and 4 – two split taps
with the half-current in each one pass above the plate. The overheating
of the cover’s non-magnetic area over the ambient temperature
relative to the most heated spot of the area between cutouts ( ϑ = 93°С)
is shown on the graphs.
The temperatures’ distribution along the perimeter of circular
hole II for the given cases of taps’ implementation and location is
shown on the Fig. 5, b).
As the non-magnetic steel used for making the tank cover
insert possesses a low thermal conductivity, the heat distribution has a
sharply non-uniform nature that corresponds to the eddy currents
distribution.
In case of tap shifting the heating between holes and on the
edge of the hole redoubles as compared to the case, when the tap passes
above the hole axis – see the graphs 1 and 2, Fig. 5. The nature of losses’ distribution similar to the
temperatures’ distribution mentioned above was obtained [7] by calculation using analytical models from p.2.3.
4. Investigation of specific physical models. It should be mentioned that full-scale model
investigations under the weight of all influence factors, didn’t allow differentiating the influence degree of
main factors, that required the experimental investigations on specific physical models.
4.1. Model of contacting plates. On the Fig. 1 it is shown that the non-magnetic steel insert is welded into
ferromagnetic conductive tank wall. The influence of ferromagnetic areas of the tank wall was determined on the
model on Fig. 6, in which the ferromagnetic plates were welded to non-magnetic sheet. On the Fig. 6 the line with
points corresponds to the field of surface in the air corresponded to the plates’ location.
Fig. 4
Fig. 5
ISSN 1607-7970. Техн. електродинаміка. 2013. № 4 77
The measured value of normal component of magnetic field
induction to the plate surface is shown by solid line. The local field jump
is observed on the contact border of non-magnetic and ferromagnetic
plates. The calculation results using the model from p.2.1 are shown on
the Fig. 6 by dashed line. The differences between calculations and
measurements are determined by simplifications of the ferromagnetic
plate model, particularly of its magnetic parameters.
4.2. Plate model with silicon-sheet steel packages. A physical
model on the Fig.7 is investigated. According to the investigations the
main effect consists in particular formation of magnetic field on the plate
surface by means of finite sizes and discrete location of ferromagnetic
packs on this plate [1].
The field on the plate surface depends on the packages sizes, their
mutual location between each other, the correlation between package
length and distance to the tap, and also on the magnetic condition of
packages steel. The measurements
by the gaps t between packages 0;
0,1; 0,16; 0,3 m are shown by
solid lines 0, 1, 2, 3. The data describing normal component of
magnetic field induction to the plate surface is shown on the Fig. 7:
for the upper package surface BnH faced to the tap (on the top of the
figure); in the gap between packages Bn3 (in the middle of the
picture); under packages BnH (in the lower part). The normal
component of magnetic induction that is on the surface of non-
magnetic insert under the packages gets the direction opposite to the
direction of induction between packages.
Thereby, the magnetic field on the surface of insert with the
packages obtains an alternating-sign behavior along the tap axis that
results in the splitting of eddy currents, and, finally, in reducing the
losses and heating in the middle of the plate. The insignificant
concentration of field and losses can be found on the packages’ ends.
For the analytical analysis of the distribution of eddy
currents and losses the calculation model from p. 2.2 is used.
5. Problem statement for the computational investigations
of FEM. The transformers electromagnetic processes, neglecting the
shift currents, are described by the system of Maxwell’s equations [5,
6, 8] ,rotH j= E / .rot B t= −∂ ∂ The vectors of electric and magnetic
fields, magnetic induction , , ,E H B and current density vector j are bounded to each other by constitutive
equation ,cmj E j= σ + ,B H= μ where σ is electrical conductivity, cmj is a vector of extraneous currents
density (of windings and taps), μ is magnetic conductivity. The relationship between B and H is complex,
non-linear, and hysteresis for ferromagnetic mediums, and anisotropic for laminated ones.
The computational modeling of considered electromagnetic problems was made by means of
ANSYS software [9] using magnetic vector potential A defined by B rot A= equation.
Heating calculation problem is a complex problem of conjugate analysis of electromagnetic
processes and heat-and-mass transfer processes in cooling oil medium in tank, as well as from the ambient
air side. In the current paper a slightly simpler heating analysis based on the empirical coefficients of heat
transfer into the cooling medium of oil and air is considered. In this case the heat problem to determine a
body temperature θ with bulk loss power Q , thermal conductivity λ , surface heat-emission coefficient α ,
and ambient temperature 0θ can be formulated as Poisson’s equation ( )div grad Qλ θ = − with
inhomogeneous surface conditions 0/ ( ).n−λ∂θ ∂ = α θ − θ The iterative refinement of the scale of electrical
conductivity of steel of non-magnetic insert and heat-transfer coefficients of temperature provides the
cohesion of numerical analysis of electromagnetic and thermal processes in the covers of transformers tanks.
Fig. 6
Fig. 7
78 ISSN 1607-7970. Техн. електродинаміка. 2013. № 4
The obtained variational statements of proper elliptic equations, their finite-element approximation;
assignment of boundary conditions; solution of systems of finite-element equations, including non-linear
ones are described in detail in the manuals [6]. Therefore, this research represents only necessary explanatory
notes to computable models developed by using ANSYS resources.
6. Computational investigations of physical models. The full-scale and physical models, which
were previously considered, are investigated to verify the developed by ANSYS procedures of modeling
magnetic field, losses, and heating in transformer tank covers. The drafts of computational models in
ANSYS are shown on Fig. 8.
6.1. Model of non-
magnetic plate. The physical
model from the Fig. 8, a) is
considered. The distribution of
Imδ& component of eddy
currents in plate (real component
is negli-gibly small) is shown on
the Fig.9, a). The measured
(solid lines) and estimated values
of magnetic induction modules
( )mB x& and eddy currents
density ( )xδ& on the middle of the half of non-magnetic plate are shown on the Fig. 9, b).
6.2 Plate model contacting with ferromagnetic ones. The physical model from the Fig. 8, b) is
considered. The distribution of eddy currents in plate is shown on the Fig. 10.
When calculating the ferromagnetic plate was divided non-uniformly in thickness to provide
computational modeling of surface effect. The non-linear magnetic characteristic of structural steel was
taken into account. The calculation was made by using transient analysis [6].
6.3. Plate model
with cutouts. The sym-
metric half of the full-
scale model from the Fig.
5 is shown on the Fig.
8,c). The axis projection
of current distributor to
plate is shifted relative to
the holes centers in non-
magnetic plate, contac-
ting with ferromagnetic
ones.
The vectors of
eddy currents on non-
magnetic part of model,
and on two parts
conjugated with non-magnetic plate of ferromagnetic steel are shown on the Fig.11, a). The eddy currents are
concentrated non-uniformly under projection shift of current distributor relative to the centers of circuit cutouts.
The estimated distribution of temperature excursions shown on the Fig. 11, b) also has a sharply non-uniform
character. The heating distribution practically corresponds to the measurements shown on the Fig. 5. The
calculation of eddy currents, and losses is made by a harmonious analysis [6], whereas the heating calculation
is made according to the algorithms specified in p. 5.
6.4. Model with silicon-sheet steel packages. The physical model from the Fig. 7 is considered.
The draft of computational model for one of the variants of packages location is shown on the Fig.
8,d). ANSYS calculations are carried-out using harmonic analysis method. The anisotropy of silicon-sheet
steel packages located flat wise on the plate is taken into account.
The normal component of magnetic induction that is under the packages obtains the direction opposite to
the direction of induction between the packages. The field on plate with a positive direction of induction, is filled
a b c d
Fig. 8
a b
Fig. 9 Fig. 10
ISSN 1607-7970. Техн. електродинаміка. 2013. № 4 79
with white color, and the shaded areas correspond to the field with reverse direction (see Fig. 12, a)). The given
character of the field alteration under packages is shown by measurements (see Fig. 7). Local field alteration
results in subdivision of eddy currents and, finally, in reduction of losses and heating in the middle of plate.
The distribution of eddy currents Imδ& is shown on the Fig. 12, b).
The modeling results of magnetic fields, eddy currents, losses, heating in the investigated full-scale
and physical models confirmed the reliability of approaches and procedures, developed by ANSYS, and the
validity of theirs application for transformers complex models investigation.
7. Computational modeling of the unifying three-dimensional models of transformers. Let’s
describe a practical methodology based on the application of ANSYS software by an example of unifying
three-dimensional model of 630 MVA three-phase transformer. Because of symmetry, the model is designed
for ¼ part of the structure obtained from the dissection of the transformer’s longitudinal axis and in the
middle of the windings’ height. The view from the outside of the tank is shown on the Fig. 13.
The model consists of nonmagnetic tank part and
adjacent ferromagnetic parts of the tank cover and walls. The
model contains geometry of the taps’ level sections, simplified
model of three-rod magnetic system with the windings of
lower and upper voltage on each bar. In the areas against the
windings the tank vertical wall is closed with three groups of
vertical magnetic screens in the forms of local shunts of
electric steel packages. The model contains the geometry of
cutouts, and flanges for the fastening of inlet boxes.
The input parameters are the density of magnetizing
ampere-turns by winding sections with the connection to the phase shifts of three-phase excitation. The
winding currents only have a circular component in the system of cylindrical coordinates of each bar. The
currents in the taps, also with connection to the phases of windings excitation are oriented relative to the
specified current phases in windings. The features of
magnetic system are taken into consideration as a near-
constant value of magnetic permeability (as of electric
steel magnetizing in nominal operating mode). Also the
magnetic permeability of each of the shunt packages
with account taken of their anisotropy and preliminary
estimate of their magnetizing, are specified in the form
of constants. According to the results of preliminary
calculations the specific conductivity value of the cover
areas of nonmagnetic steel with account taken of
expected temperature level in these areas is specified.
The ferromagnetic areas of cover and tank walls
a b
Fig. 11
a b
Fig. 12
Fig. 13
Fig. 14
80 ISSN 1607-7970. Техн. електродинаміка. 2013. № 4
are simply modeled with account taken of surface effect. On the strained areas of cover the necessity and
optimal number, and the sizes of electric steel packages served for local limitation of losses and heating at
nonmagnetic areas of cover are specified by preliminary calculations.
Thereby, the complex model takes into consideration the combined eddy currents in nonmagnetic
and contacting with them ferromagnetic areas of tank cover and walls, the availability of local packages on
nonmagnetic area of the cover, and the availability of the cutouts.
The calculation in ANSYS was made by using harmonic analysis method. The vectors distribution of
imaginary component of eddy currents in non-magnetic
insert of tank is shown on the Fig. 14.
The temperatures’ distribution of non-magnetic
insert to the transformer tank is presented on the Fig. 15.
The computational modeling results satisfy the
temperatures distribution patterns, obtained from thermal
imager during thermal tests of transformer (Fig. 16).
Conclusion. The carried out investigations
describe the main factors, which were studied
experimentally on full-scale, and physical models. These
investigations also show the influence of such factors on
electromagnetic and thermal processes in tank covers of
power transformers. The reliability of developed methods
of analytic analysis and procedures of ANSYS
computational modeling of magnetic field, eddy currents,
losses, and heating of transformer tank covers, caused by
the currents of windings, outlets and taps is shown.
1. Turowski J. Obliczenia elektromagne-tyczne elementow maszyn i urzadzen elektrycznych. − Warszawa, 1982. − 316 p.
2. Kulkarni S.V. Khaparde, S.A. Transformer Engineering. Design and Practice. − Marcel Dekker, Inc., New York 0 Basel,
2004. – 477 p.
3. Furman Ja.I., Bereza V.L., Ivankov V.F., Nizhnik L.P. Losses in tanks of large power transformers. caused by magnetic
field and methods of their reduction // CIGRE 1988, Paper No. 12−07.
4. Nizhnik L.P., Bereza V.L., Ivankov V.F., Furman Ja.I. Vortical currents and losses in the tank of transformer from
magnetic-field of taking. − Кyiv: Instytut matematyky AN USSR .– 1985. − 46 p. (Rus.)
5. Basova А.V., Ivankov V.F., Kokoshyn S.S., Khimjuk I.V. Numerical research of the electromagnetic fields in powerful
transformers and reactors // Przeglad Elektrotechniczny, CPEE 2007. − Nо 2. − Pp. 261−264.
6. ANSYS software // http://www.ansys.com.
УДК 621.314
ВТРАТИ, НАГРІВ У КРИШКАХ БАКІВ ПОТУЖНИХ ТРАСФОРМАТОРІВ
1Басова А.В., 1Іванков В.Ф., 2Хімюк І.В.
1 ПАТ "Запоріжтрансформатор",
Дніпропетровське шосе, 3, Запоріжжя, 69600, Україна;
2 Інститут електродинаміки НАН України,
пр.Перемоги, 56, Київ-57, 03680, Україна. e-mail: vsi@ied.org.ua
Представлено основні підходи до аналітичних оцінок і тривимірного моделювання методом скінчених елементів
електромагнітних і теплових процесів в областях кришок бака з використанням програмного забезпечення ANSYS.
Наведено результати досліджень тривимірних конструкцій кришок баків трифазних трансформаторів, що враховують не
лише магнітні поля відведень, але і поля розсіювання обмоток. Бібл. 6, рис. 16.
Ключові слова: потужний трансформатор, втрати, нагрів, тривимірне моделювання.
ПОТЕРИ, НАГРЕВ В КРЫШКАХ БАКОВ МОЩНЫХ ТРАНСФОРМАТОРОВ
1Басова А.В., 1Иванков В.Ф., 2Химюк И.В.
1 ПАТ "Запорожтрансформатор",
Днепропетровское шоссе, 3 Запорожье, 69600, Украина;
2 Институт электродинамики НАН Украины,
пр.Победы, 56, Киев-57, 03680, Украина. e-mail: vsi@ied.org.ua
Представлены основные подходы к аналитическим оценкам и трехмерному моделированию методом конечных элементов
электромагнитных и тепловых процессов в областях крышек бака с использованием программного обеспечения ANSYS.
Приведены результаты исследований трехмерных конструкций крышек баков трехфазных трансформаторов,
учитывающих не только магнитные поля отводов, но и поля рассеивания обмоток. Библ. 6, рис. 16.
Ключевые слова: мощный трансформатор, потери, нагрев, трехмерное моделирование.
Надійшла 13.12.2012
Received 13.12.2012
Fig. 15
Fig. 16
|
| id | nasplib_isofts_kiev_ua-123456789-62355 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-7970 |
| language | English |
| last_indexed | 2025-12-02T00:47:32Z |
| publishDate | 2013 |
| publisher | Інститут електродинаміки НАН України |
| record_format | dspace |
| spelling | Basova, A.V. Ivankov, V.F. Khimiuk, I.V. 2014-05-20T07:51:21Z 2014-05-20T07:51:21Z 2013 Losses, heating in tank covers of transformers / A.V. Basova, V.F. Ivankov, I.V. Khimiuk // Технічна електродинаміка. — 2013. — № 4. — С. 74–80. — Бібліогр.: 6 назв. — англ. 1607-7970 https://nasplib.isofts.kiev.ua/handle/123456789/62355 621.314 The main approaches to analytical estimations and three-dimensional modeling by finite element method of electromagnetic and thermal processes in the tank covers using ANSYS software are presented. The results of an investigation of three-dimensional constructions of tank covers of three-phase transformers taking into account not only the magnetic fields in taps, but also the leakage fields in windings, are provided. Представлено основні підходи до аналітичних оцінок і тривимірного моделювання методом скінчених елементів електромагнітних і теплових процесів в областях кришок бака з використанням програмного забезпечення ANSYS. Наведено результати досліджень тривимірних конструкцій кришок баків трифазних трансформаторів, що враховують не лише магнітні поля відведень, але і поля розсіювання обмоток Представлены основные подходы к аналитическим оценкам и трехмерному моделированию методом конечных элементов электромагнитных и тепловых процессов в областях крышек бака с использованием программного обеспечения ANSYS. Приведены результаты исследований трехмерных конструкций крышек баков трехфазных трансформаторов, учитывающих не только магнитные поля отводов, но и поля рассеивания обмоток en Інститут електродинаміки НАН України Технічна електродинаміка Електроенергетичні системи та устаткування Losses, heating in tank covers of transformers Втрати, нагрів у кришках баків потужних трасформаторів Потери, нагрев в крышках баков мощных трансформаторов Article published earlier |
| spellingShingle | Losses, heating in tank covers of transformers Basova, A.V. Ivankov, V.F. Khimiuk, I.V. Електроенергетичні системи та устаткування |
| title | Losses, heating in tank covers of transformers |
| title_alt | Втрати, нагрів у кришках баків потужних трасформаторів Потери, нагрев в крышках баков мощных трансформаторов |
| title_full | Losses, heating in tank covers of transformers |
| title_fullStr | Losses, heating in tank covers of transformers |
| title_full_unstemmed | Losses, heating in tank covers of transformers |
| title_short | Losses, heating in tank covers of transformers |
| title_sort | losses, heating in tank covers of transformers |
| topic | Електроенергетичні системи та устаткування |
| topic_facet | Електроенергетичні системи та устаткування |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/62355 |
| work_keys_str_mv | AT basovaav lossesheatingintankcoversoftransformers AT ivankovvf lossesheatingintankcoversoftransformers AT khimiukiv lossesheatingintankcoversoftransformers AT basovaav vtratinagrívukriškahbakívpotužnihtrasformatorív AT ivankovvf vtratinagrívukriškahbakívpotužnihtrasformatorív AT khimiukiv vtratinagrívukriškahbakívpotužnihtrasformatorív AT basovaav poterinagrevvkryškahbakovmoŝnyhtransformatorov AT ivankovvf poterinagrevvkryškahbakovmoŝnyhtransformatorov AT khimiukiv poterinagrevvkryškahbakovmoŝnyhtransformatorov |