Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines
Aim. The synthesis of robust active shielding system of magnetic field, generated by group of high voltage power lines for
 reducing the induction of the initial magnetic field to the sanitary standards level and reducing the sensitivity of the system to
 variations in the plant para...
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| Published in: | Електротехніка і електромеханіка |
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| Date: | 2018 |
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Інститут технічних проблем магнетизму НАН України
2018
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| Cite this: | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines / B.I. Kuznetsov, T.B. Nikitina, V.V. Kolomiets, I.V. Bovdui, A.V. Voloshko, E.V. Vinichenko // Електротехніка і електромеханіка. — 2018. — № 5. — С. 34-38. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860208226342010880 |
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| author | Kuznetsov, B.I. Nikitina, T.B. Kolomiets, V.V. Voloshko, A.V. Vinichenko, E.V. Bovdui, I.V. |
| author_facet | Kuznetsov, B.I. Nikitina, T.B. Kolomiets, V.V. Voloshko, A.V. Vinichenko, E.V. Bovdui, I.V. |
| citation_txt | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines / B.I. Kuznetsov, T.B. Nikitina, V.V. Kolomiets, I.V. Bovdui, A.V. Voloshko, E.V. Vinichenko // Електротехніка і електромеханіка. — 2018. — № 5. — С. 34-38. — Бібліогр.: 18 назв. — англ. |
| collection | DSpace DC |
| container_title | Електротехніка і електромеханіка |
| description | Aim. The synthesis of robust active shielding system of magnetic field, generated by group of high voltage power lines for
reducing the induction of the initial magnetic field to the sanitary standards level and reducing the sensitivity of the system to
variations in the plant parameters is given. Methodology. The synthesis is based on the solution of a multi-criteria stochastic
game, in which the gain vector is calculated on the basis of the Maxwell equations solutions in the quasi-stationary
approximation. The equilibrium state of the game is based on the stochastic multiagent optimization algorithms of the
multiswarm particles. The initial parameters for the synthesis of active shielding system are the location of the high voltage
power lines with respect to the protected from transmission line space, geometry and number of cables, operating currents, as well
as the size of the protected space and normative value magnetic field induction, which should be achieved as a result of screening.
The objective of the synthesis of the active shielding system is to determine their number, configuration, spatial arrangement,
wiring diagrams and compensation cables currents, setting algorithm of the control systems as well as the resulting value of the
induction magnetic field at the points of the protected space. Results. Robust active shielding system synthesis results for
reduction of a magnetic field generated by group of high voltage power lines is given. The possibility of a significant reduction in
the level of induction of the magnetic field source within and reducing the sensitivity of the system to variations in the plant
parameters is given. Originality. For the first time carried out the synthesis of the robust active shielding systems of magnetic
field generated by group of high voltage power lines within a given region of space. Practical value. Practical recommendations
on reasonable choice of the number and spatial arrangement of compensating cables of robust active shielding systems of the
magnetic field generated by the group of high voltage power lines is given.
Цель. Проведен синтез робастной системы активного экранирования магнитного поля, создаваемого группой
высоковольтных линий электропередачи для снижения индукции исходного магнитного поля до уровня санитарных
норм и уменьшения чувствительности системы к изменениям параметров системы. Методология. Синтез основан
на решении многокритериальной стохастической игры, в которой векторный выигрыш вычисляется на основании
решений уравнений Максвелла в квазистационарном приближении. Равновесное состояние игры находится на основе
алгоритмов стохастической мультиагентной оптимизации мультироем частиц. Исходными параметрами для
синтеза системы активного экранирования являются расположение высоковольтных линий электропередачи по
отношению к защищаемому пространству, геометрические размеры, количество проводов и рабочие токи линии
электропередачи, а также размеры защищаемого пространства и нормативное значение индукции магнитного поля,
которое должно быть достигнуто в результате экранирования. Целью синтеза системы активного экранирования
является определение количества, конфигурации, пространственного расположения, схем электропитания и токов
компенсационных кабелей, алгоритма работы системы управления, а также результирующего значения
индукционного магнитного поля в точках защищаемого пространства. Результаты. Приводятся результаты
синтеза робастной системы активного экранирования для уменьшения магнитного поля, создаваемого группой
высоковольтных линий электропередачи. Показана возможность существенного снижения уровня индукции
исходного магнитного поля внутри заданного пространства и снижения чувствительности системы к изменениям
параметров системы. Оригинальность. Впервые проведен синтез робастной системы активного экранирования
магнитного поля, создаваемого группой высоковольтных линий электропередач в данной области пространства.
Практическая ценность. Приводятся практические рекомендации по обоснованному выбору количества и
пространственного расположения компенсирующих обмоток робастных систем активного экранирования
магнитного поля, создаваемого группой высоковольтных линий электропередач
|
| first_indexed | 2025-12-07T18:13:27Z |
| format | Article |
| fulltext |
Електротехнічні комплекси та системи. Силова електроніка
34 ISSN 2074-272X. Електротехніка і Електромеханіка. 2018. №5
© B.I. Kuznetsov, T.B. Nikitina, V.V. Kolomiets, I.V. Bovdui, A.V. Voloshko, E.V. Vinichenko
UDC 621.3.01 doi: 10.20998/2074-272X.2018.5.06
B.I. Kuznetsov, T.B. Nikitina, V.V. Kolomiets, I.V. Bovdui, A.V. Voloshko, E.V. Vinichenko
SYNTHES OF ROBUST ACTIVE SHIELDING SYSTEMS OF MAGNETIC FIELD
GENERATED BY GROUP OF HIGH-VOLTAGE POWER LINES
Aim. The synthesis of robust active shielding system of magnetic field, generated by group of high voltage power lines for
reducing the induction of the initial magnetic field to the sanitary standards level and reducing the sensitivity of the system to
variations in the plant parameters is given. Methodology. The synthesis is based on the solution of a multi-criteria stochastic
game, in which the gain vector is calculated on the basis of the Maxwell equations solutions in the quasi-stationary
approximation. The equilibrium state of the game is based on the stochastic multiagent optimization algorithms of the
multiswarm particles. The initial parameters for the synthesis of active shielding system are the location of the high voltage
power lines with respect to the protected from transmission line space, geometry and number of cables, operating currents, as well
as the size of the protected space and normative value magnetic field induction, which should be achieved as a result of screening.
The objective of the synthesis of the active shielding system is to determine their number, configuration, spatial arrangement,
wiring diagrams and compensation cables currents, setting algorithm of the control systems as well as the resulting value of the
induction magnetic field at the points of the protected space. Results. Robust active shielding system synthesis results for
reduction of a magnetic field generated by group of high voltage power lines is given. The possibility of a significant reduction in
the level of induction of the magnetic field source within and reducing the sensitivity of the system to variations in the plant
parameters is given. Originality. For the first time carried out the synthesis of the robust active shielding systems of magnetic
field generated by group of high voltage power lines within a given region of space. Practical value. Practical recommendations
on reasonable choice of the number and spatial arrangement of compensating cables of robust active shielding systems of the
magnetic field generated by the group of high voltage power lines is given. References 18, figures 5.
Key words: high voltage power lines, power frequency magnetic field, robust active screening system, a multi-criteria
stochastic game.
Цель. Проведен синтез робастной системы активного экранирования магнитного поля, создаваемого группой
высоковольтных линий электропередачи для снижения индукции исходного магнитного поля до уровня санитарных
норм и уменьшения чувствительности системы к изменениям параметров системы. Методология. Синтез основан
на решении многокритериальной стохастической игры, в которой векторный выигрыш вычисляется на основании
решений уравнений Максвелла в квазистационарном приближении. Равновесное состояние игры находится на основе
алгоритмов стохастической мультиагентной оптимизации мультироем частиц. Исходными параметрами для
синтеза системы активного экранирования являются расположение высоковольтных линий электропередачи по
отношению к защищаемому пространству, геометрические размеры, количество проводов и рабочие токи линии
электропередачи, а также размеры защищаемого пространства и нормативное значение индукции магнитного поля,
которое должно быть достигнуто в результате экранирования. Целью синтеза системы активного экранирования
является определение количества, конфигурации, пространственного расположения, схем электропитания и токов
компенсационных кабелей, алгоритма работы системы управления, а также результирующего значения
индукционного магнитного поля в точках защищаемого пространства. Результаты. Приводятся результаты
синтеза робастной системы активного экранирования для уменьшения магнитного поля, создаваемого группой
высоковольтных линий электропередачи. Показана возможность существенного снижения уровня индукции
исходного магнитного поля внутри заданного пространства и снижения чувствительности системы к изменениям
параметров системы. Оригинальность. Впервые проведен синтез робастной системы активного экранирования
магнитного поля, создаваемого группой высоковольтных линий электропередач в данной области пространства.
Практическая ценность. Приводятся практические рекомендации по обоснованному выбору количества и
пространственного расположения компенсирующих обмоток робастных систем активного экранирования
магнитного поля, создаваемого группой высоковольтных линий электропередач. Библ. 18, рис. 5.
Ключевые слова: высоковольтные линии электропередачи, магнитное поле промышленной частоты, робастная
система активного экранирования, многокритериальная стохастическая игра.
Introduction. Methods of active contour shielding
of power frequency magnetic field (MF) created by high
voltage power lines (HVPL) [1-6] are the most acceptable
and economically feasible for ensuring the sanitary norms
of Ukraine in the magnetic field of the industrial
frequency [7-8]. The method of synthesis of active
shielding systems (ASS) for MF, created by air power
lines, was developed in [9]. The initial data for the
synthesis of the system is the parameters of the
transmission lines (working currents, geometry and
number of wires, location of the transmission lines
relative to the protected space) and the dimensions of the
protected space and the standard value of the induction of
the MF, which should be achieved as a result of
screening. In the process of synthesis, it is necessary to
determine the parameters of the compensation coil (their
number, configuration, spatial arrangement, connection
diagram), compensating coil currents and the resulting
induction values of the MF at the points of the protected
space, as well as the algorithm of the ASS. However, this
method [9] does not take into account the uncertainty of
the system parameters due to the inaccurately known
model of the control object, as well as changes in the
parameters of the system during its operation [10].
Ukraine's electricity networks are characterized by
high density, and especially near high-voltage power
substations. There is usually a group of overhead HVPL,
in the immediate vicinity of which can be located
ISSN 2074-272X. Електротехніка і Електромеханіка. 2018. №5 35
residential buildings. In this case, the main uncertainty in
the synthesis of this system is the variation of the currents
of different power lines, which leads not only to a change
in the level of magnetic field induction, but also to a
change in the position of the space-time characteristics
(STC) of the MF in the shielding zone.
The goal of this work is the synthesis of robust
active shielding systems of power frequency magnetic
field created by group of high voltage power lines, which
allows to reduce the magnetic field level to sanitary
norms and to reduce the sensitivity of the system to
variations of plant parameters.
Problem statement considers the formulation of the
problem of synthesis of the robust ASS. In the synthesis
of the ASS, the mathematical model of the original MF is
known inaccurately [10]. In particular, currents in current
conductors that have daily, weekly, seasonal variations
are approximately known. The geometric dimensions of
the compensating coil, the parameters of the regulators,
etc. are not accurately realized. Therefore, we introduce a
vector of deviations of the system parameters from their
nominal values used in the synthesis of the system. The
problem of synthesizing a robust ASS is reduced to the
determination of such a vector of spatial arrangement and
geometric sizes of compensated windings, as well as
parameters of the regulator X and the vector of variable
parameters , at which the maximum value of the
magnetic field induction at selected points Pj of the
considered space P assumes a minimum value for the
regulator parameter vector X, but the maximum value for
the vector of variable parameters so that
j
PX
PXBX
j
,,maxmaxminarg*
PX
. (1)
This technique corresponds to the standard approach
to the synthesis of robust systems for the worst-case [10],
when the variations of the parameters lead to the
greatest deterioration in the compensation of the initial
MF created by HVPL. The problem (1) can be formulated
in the form of the following multi-criteria game [11] with
vector gain
TmPXBPXBPXBXB ,,...,,,,,, 21 , (2)
the components of which B(X, , Pi) are the MF induction
vector module in the m points Pi of the space under
consideration. In this case, of course, it is necessary to
take into account the constraints on the control vector and
the state variables of the system, the vector of the
unknown and variable parameters in the form of a vector
inequality
max, GXG . (3)
In the multi-criteria game (2), the first player is the
parameter vector of the regulator X and its strategy is the
minimization of the vector gain (2), and the second player
is a vector of variable parameters characterizing the
uncertainty of the plant parameters and the strategy of this
player is maximization of the same vector gain [11].
Note that the components of the vector gain (2)
are nonlinear functions of the required parameters
vectors X and are calculated on the basis of the
solutions of the Maxwell equations in the quasi-
stationary approximation [12-16].
Method of synthesis. Consider the algorithm for
finding the equilibrium of the game problem. To find the
equilibrium state of the multi-criterion game (2) from
Pareto-optimal solutions taking into account the
preference relations [11], we construct an algorithm for
stochastic multi-agent optimization based on the set of
particle swarms [17], the number of which m is equal to
the number of components of the vector gain (2). The
motion of i particle of j swarm is described by the
following expressions
,
1
*
2222
1111
txtytpHtrctx
tytpHtrctvwtv
ijjjjjjij
ijjjjjijjij
(4)
,
1
*
2222
1111
ttztpHtrct
tztpHtrctuwtu
ijjjjjjij
ijjjjjijjij
(5)
11
11
tutt
tvtxtx
ijijij
ijijij
, (6)
where xij(t), ij(t) and vij(t), uij(t) is the position and
velocity of i particle of j swarm; yij(t), zij(t) and *
jy , *
jz –
the best local – lbest and global – gbest positions of the
i-th particle, found respectively by only one i-th particle
and all the particles of j swarm.
Moreover, the «best» position of the – j particle of j
swarm on a vector xij(t) is understood in the sense of a
minimum of the scalar gain B(X, , Pj), and by the vector
ij(t) is understood in the sense of the maximum of the
same scalar gain. Positive constants c1, c2, random
numbers r1j(t), r2j(t), inertia coefficients wj and switching
functions H are tuning parameters of the algorithm.
Note that in connection with the fact that the vector
of the solutions of the game (2) is represented in the
form of strategies of two players X – the vector of the
parameters of the regulators and the – the vector of the
variable parameters of the plant, where it is necessary to
minimize the vector gain (2) along the regulators
parameter vector X and maximize the same vector gain
(2) with respect to the of plant parameters variable
vector . Therefore, each i particles of j swarm has two
components of position xij(t), ij(t) and two components
of velocity vij(t), uij(t) to find the two desired
components of the regulators parameters vector X and
the variable parameters vector .
In conclusion, we note that the original multi-criteria
game (2), (3), taking into account the algorithm for its
solution (4) – (7), is a multi-criteria stochastic dynamic
game, since it clearly has time and random search [6, 7].
Computer simulation results. Consider the result
of synthesis of robust ASS of MF created by group of
HVPL. This situation is typical for the outskirts of cities,
where several power lines are suitable, as well as near
power line substations. The layout of group of HVPL,
compensating coil and screening zone of the system
under consideration is shown in Fig. 1. In the immediate
vicinity of the shielding zone there are two double-
circuit 110 kV HVPL-1 and HVPL-2, a double-circuit
330 kV HVPL-3 and a single-circuit 330 kV HVPL-4.
36 ISSN 2074-272X. Електротехніка і Електромеханіка. 2018. №5
-25 -20 -15 -10 -5 0 5 10 -50
0
50
0
5
10
15
20
y,м
z, m
х, m
y, m
Fig. 1. Layout of group of high voltage power lines,
compensating coil and screening zone
For the synthesis of ASS, in addition to the
geometric dimensions of the transmission lines and the
shielding zone, the values of the currents in the current
conductors of the all HVPL are necessary. To this, first,
experimental studies of the level of the magnetic field
both in the shielding zone and near the transmission lines
were carried out. Based on the obtained experimental
data, the problem of current identification in current
conductors of the power line is solved, under which the
sum of the squares of the errors of the measured and
model-them magnetic field induction values at given
points is minimized.
In Fig. 2 shows the equal level lines of the initial
magnetic field induction vector module.
0.
7
0
7
0.7
0.
8
0.
8
0.8
0.
9
0.
9
0.
9
1
1
1
1.
1
1.
1
1.
1
1.
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1.
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1.
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1.
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1.
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7
д ц ,
0 2 4 6 8 10
0
0.5
1
1.5
2
2.5
3
3.5
4
z, m
х, m
Fig. 2. Equal level lines of the initial magnetic field induction
vector module
The MF initial induction generate by HVPL in the
space under consideration is 0.9 μT, which is 1.8 times
higher than the MF sanitary standards of Ukraine.
Based on the model of MF created by group of
HVPL, the problem of synthesis of a robust ASS was
solved. The ASS contains one compensation coil.
On the basis of experimental research, it was found
that in the shielding zone, the MF generated by group of
HVPL has the space-time characteristics (STC) of such
MF is a strongly elongated ellipse [9] and, consequently,
the initial MF has a negligible polarization. Active
screening of such MF is possible with the use of single
compensation coil. It should be noted that such systems
have become most widespread in the world practice [2].
In Fig. 3 shows the equal level lines of the
compensation coil magnetic field induction vector: module
(a), component along Z axes (b) and component along X
axes (c) with the robust active screening system is on.
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c
Fig. 3. Equal level lines of the compensation coil magnetic field
induction vector: module (a), component along Z axes (b) and
component along X axes (c) with the robust active screening
system is on
In Fig. 4 shows the equal level lines of the magnetic
field induction vector: module (a), component along Z
axes (b) and component along X axes (c) with the robust
active screening system is on. When the active shielding
system is on, as can be seen from Fig. 3, the MF induction
level in the residential space under consideration does not
exceed 0.5 μT.
ISSN 2074-272X. Електротехніка і Електромеханіка. 2018. №5 37
0.2
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х, m
c
Fig. 4. Equal level lines of the magnetic field induction vector:
module (a), component along Z axes (b) and component along X
axes (c) with the robust active screening system is on
In Fig. 5 shows the STC of MF, created by group of
HVPL (1); compensating coil (2) and total MF with the
ASS is on (3). Naturally, such a MF can be effectively
compensated for using a single-loop ASS. With single
coil, the big axis of the STS ellipse of the initial MF is
compensated, so that the STS of the total MF with the
ASS is on is an ellipse with an ellipse coefficient 0.8.
In the robust system, the maximum value of the
magnetic induction in the protected zone does not exceed
0.5 μT, which corresponds to the sanitary norms of
Ukraine [7]. For the worst-case scenario, when vector
parameters variations lead to the greatest deterioration in
the compensation of the initial magnetic field by a robust
system, the maximum value of the level of magnetic
induction in the protected zone increases by 10 %
compared to the robust system at nominal values of the
parameters when the vector = 0. In spite of the fact that
in the initial optimal system with nominal values of the
parameters, the maximum value of the level of magnetic
induction in the protected zone is approximately 10 %
less than in robust systems and is 0.4 μT. However, when
the vector of variable parameters is changed for the worst-
case case, the maximum value of the level of magnetic
induction in the initial optimal system increases to 0.6 μT.
-1 -0.5 0 0.5 1
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
3
2
1
z, m
х, m BX
BZ
Fig. 5. Space-time characteristics of magnetic field: initial (1),
compensation coil (2) and resultant magnetic field
with the robust active screening system is on (3)
Note that the position of the compensating coil of the
robust system, shown in Fig. 3, slightly differs from the
position of the compensating coil of the optimal system
[9]. Also, the parameters of the controllers of the robust
and original optimal system are not significantly different,
as a result of which the robustness of the synthesized
system with respect to the optimal system is ensured.
Thus, the synthesized robust ASS makes it possible
to reduce the sensitivity of the system to changes in the
parameters of the control object in comparison with the
initial ASS.
Experimental research results. Consider the field
experimental research of the full scale ASS layout [18].
Compensation coil of the full scale ASS layout is a square
shape, the upper branch of which is located at a height of
4 m from the ground, and the lower branch is located at a
height of 2.6 m from the ground. The compensation coil
contains 20 winds and is powered by amplifier type
TDA7294.
The ASS contains an external MP induction
controller and an internal current controller. An inductive
sensor is used as an MF induction sensor, and the MP
measurement is performed by EMF-828 type
magnetometer of the Lutron Firm. The ASS is powered
by an autonomous source. Field experimental research of
a single-loop MF ASS with open and closed-loop control
algorithms were carried out. The results of comparison of
experimental and calculated of MP induction values in a
residential zone are given. It is shown that the
experimental and calculated MF induction values differ
by not more than 10 %.
Conclusions.
1. For the first time the synthesis of robust active
screening system of magnetic field, generated by group of
38 ISSN 2074-272X. Електротехніка і Електромеханіка. 2018. №5
high voltage power lines for reducing the induction of the
initial magnetic field to the sanitary standards level and
reducing the sensitivity of the system to variations in the
plant parameters is given.
2. The synthesis of a robust active screening system is
based on multi-criteria stochastic game decision, the
equilibrium state of which is based on multiswarm
stochastic multi-agent optimization from Pareto-optimal
solutions.
3. As a result of active screening system synthesis the
spatial position of one compensation coil and the
parameters of the regulator are determined. System reduce
the level of the initial magnetic field induction throughout
the considered residential area up to the Ukraine sanitary
norms level and has less sensitivity to plant parameters
variations in comparison with the known systems.
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Received 10.05.2018
B.I. Kuznetsov1, Doctor of Technical Science, Professor,
T.B. Nikitina2, Doctor of Technical Science, Professor,
V.V. Kolomiets2, Candidate of Technical Science,
I.V. Bovdui1, Candidate of Technical Science,
A.V. Voloshko1, Candidate of Technical Science,
E.V. Vinichenko1, Candidate of Technical Science,
1 State Institution «Institute of Technical Problems
of Magnetism of the NAS of Ukraine»,
19, Industrialna Str., Kharkiv, 61106, Ukraine,
phone +380 50 5766900,
e-mail: kuznetsov.boris.i@gmail.com
2 Kharkov National Automobile and Highway University,
25, Yaroslava Mudroho Str., Kharkov, 61002, Ukraine,
е-mail: tatjana55555@gmail.com
|
| id | nasplib_isofts_kiev_ua-123456789-147952 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 2074-272X |
| language | English |
| last_indexed | 2025-12-07T18:13:27Z |
| publishDate | 2018 |
| publisher | Інститут технічних проблем магнетизму НАН України |
| record_format | dspace |
| spelling | Kuznetsov, B.I. Nikitina, T.B. Kolomiets, V.V. Voloshko, A.V. Vinichenko, E.V. Bovdui, I.V. 2019-02-16T12:22:15Z 2019-02-16T12:22:15Z 2018 Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines / B.I. Kuznetsov, T.B. Nikitina, V.V. Kolomiets, I.V. Bovdui, A.V. Voloshko, E.V. Vinichenko // Електротехніка і електромеханіка. — 2018. — № 5. — С. 34-38. — Бібліогр.: 18 назв. — англ. 2074-272X DOI: https://doi.org/10.20998/2074-272X.2018.5.06 https://nasplib.isofts.kiev.ua/handle/123456789/147952 621.3.01 Aim. The synthesis of robust active shielding system of magnetic field, generated by group of high voltage power lines for
 reducing the induction of the initial magnetic field to the sanitary standards level and reducing the sensitivity of the system to
 variations in the plant parameters is given. Methodology. The synthesis is based on the solution of a multi-criteria stochastic
 game, in which the gain vector is calculated on the basis of the Maxwell equations solutions in the quasi-stationary
 approximation. The equilibrium state of the game is based on the stochastic multiagent optimization algorithms of the
 multiswarm particles. The initial parameters for the synthesis of active shielding system are the location of the high voltage
 power lines with respect to the protected from transmission line space, geometry and number of cables, operating currents, as well
 as the size of the protected space and normative value magnetic field induction, which should be achieved as a result of screening.
 The objective of the synthesis of the active shielding system is to determine their number, configuration, spatial arrangement,
 wiring diagrams and compensation cables currents, setting algorithm of the control systems as well as the resulting value of the
 induction magnetic field at the points of the protected space. Results. Robust active shielding system synthesis results for
 reduction of a magnetic field generated by group of high voltage power lines is given. The possibility of a significant reduction in
 the level of induction of the magnetic field source within and reducing the sensitivity of the system to variations in the plant
 parameters is given. Originality. For the first time carried out the synthesis of the robust active shielding systems of magnetic
 field generated by group of high voltage power lines within a given region of space. Practical value. Practical recommendations
 on reasonable choice of the number and spatial arrangement of compensating cables of robust active shielding systems of the
 magnetic field generated by the group of high voltage power lines is given. Цель. Проведен синтез робастной системы активного экранирования магнитного поля, создаваемого группой
 высоковольтных линий электропередачи для снижения индукции исходного магнитного поля до уровня санитарных
 норм и уменьшения чувствительности системы к изменениям параметров системы. Методология. Синтез основан
 на решении многокритериальной стохастической игры, в которой векторный выигрыш вычисляется на основании
 решений уравнений Максвелла в квазистационарном приближении. Равновесное состояние игры находится на основе
 алгоритмов стохастической мультиагентной оптимизации мультироем частиц. Исходными параметрами для
 синтеза системы активного экранирования являются расположение высоковольтных линий электропередачи по
 отношению к защищаемому пространству, геометрические размеры, количество проводов и рабочие токи линии
 электропередачи, а также размеры защищаемого пространства и нормативное значение индукции магнитного поля,
 которое должно быть достигнуто в результате экранирования. Целью синтеза системы активного экранирования
 является определение количества, конфигурации, пространственного расположения, схем электропитания и токов
 компенсационных кабелей, алгоритма работы системы управления, а также результирующего значения
 индукционного магнитного поля в точках защищаемого пространства. Результаты. Приводятся результаты
 синтеза робастной системы активного экранирования для уменьшения магнитного поля, создаваемого группой
 высоковольтных линий электропередачи. Показана возможность существенного снижения уровня индукции
 исходного магнитного поля внутри заданного пространства и снижения чувствительности системы к изменениям
 параметров системы. Оригинальность. Впервые проведен синтез робастной системы активного экранирования
 магнитного поля, создаваемого группой высоковольтных линий электропередач в данной области пространства.
 Практическая ценность. Приводятся практические рекомендации по обоснованному выбору количества и
 пространственного расположения компенсирующих обмоток робастных систем активного экранирования
 магнитного поля, создаваемого группой высоковольтных линий электропередач en Інститут технічних проблем магнетизму НАН України Електротехніка і електромеханіка Електротехнічні комплекси та системи. Силова електроніка Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines Article published earlier |
| spellingShingle | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines Kuznetsov, B.I. Nikitina, T.B. Kolomiets, V.V. Voloshko, A.V. Vinichenko, E.V. Bovdui, I.V. Електротехнічні комплекси та системи. Силова електроніка |
| title | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines |
| title_full | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines |
| title_fullStr | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines |
| title_full_unstemmed | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines |
| title_short | Synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines |
| title_sort | synthes of robust active shielding systems of magnetic field generated by group of high-voltage power lines |
| topic | Електротехнічні комплекси та системи. Силова електроніка |
| topic_facet | Електротехнічні комплекси та системи. Силова електроніка |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147952 |
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