Volume 03 Issue 12-2023
31
American Journal Of Applied Science And Technology
(ISSN
–
2771-2745)
VOLUME
03
ISSUE
12
Pages:
31-36
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.063
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
ABSTRACT
In practice often need to decide a solve of problems as to find optimal structural and magnetic parameters of
electromagnetic transducers of three-phases current, with characteristics (for example, error) must have a minimum
value. In this case, as a rule, in addition alley for input values, sets overall dimensions of electromagnetic transducer
of three-phases current. Thus, the task: for given values of the operating range and the overall dimensions of the
sensor design dimensions of the individual units on which possible obtain maximum consideration characteristics,
such as sensitivity. In this article considered methodology of calculating of optimal parameters of magnetic system of
the electromagnetic transducers of three-phases current with foal parallel rods.
KEYWORDS
Electromagnetic transducers, three-phases current, sensitivity, methodology of calculating, magnetic parameters and
flow, electric parameters, primary and secondary currents, characteristics.
INTRODUCTION
In this article proposed methodology of calculating of
optimal parameters of magnetic system of the
electromagnetic transducers of three-phases current
with foal parallel rods, which geometric dimensions
shown in fig. 1 [1-6].
On the bases of the given dimensions of magnetic
system, necessary to calculate a parameter of
magnetic system, which let to obtain: first, maximum
possible working magnetic flux, and, secondly, desired
degree of variability of the working magnetic voltage
between of rods of magnetic cores (area of locations
for measuring winding).
Statement of a problem
To obtain of maximum working magnetic flux for given
values of ampere-winds of the measure winding can be
minimum value of the scattering coefficient of the
magnetic field. The degree of variability of the
Research Article
VARIOUS FACTORS CAN CONTRIBUTE TO INACCURACIES IN
ELECTROMAGNETIC CURRENT TRANSDUCERS
Submission Date:
December 09, 2023,
Accepted Date:
December 14, 2023,
Published Date:
December 19, 2023
Crossref doi:
https://doi.org/10.37547/ajast/Volume03Issue12-07
Kh.A. Sattarov
Researcher, Tashkent University Of Information Technologies Named After Muhammad Al-Khwarizmi
Tashkent, Uzbekistan
Journal
Website:
https://theusajournals.
com/index.php/ajast
Copyright:
Original
content from this work
may be used under the
terms of the creative
commons
attributes
4.0 licence.
Volume 03 Issue 12-2023
32
American Journal Of Applied Science And Technology
(ISSN
–
2771-2745)
VOLUME
03
ISSUE
12
Pages:
31-36
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.063
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
magnetic operating voltage along the length of the
parallel magnetic rods of electromagnetic transducer
of three-phases current (for the locations of measuring
winding) can be defined as
%
100
1
1
1
,%
+
−
=
ch
sh
ch
U
. (1)
From equation (1) and graphics (fig.2) shows
)
(
f
U
=
that
U
- depends in the air cleans
(fig. 2). Therefore, to
find minimum of error for each chart is quite a challenge and its solution is necessary to consider a optimization.
Fig. 1. The magnetic system of electromagnetic transducer: 1, 2, 3 and 4 - measuring secondary windings; 5 -
insulation plate; 6, 7, 8 and 9 - four rods and 10 a common magnetic base; 11- core; 12 (phase A), 13 (phase B) and 14
(phase C) - the primary windings.
The concept of the problem decision
For define to optimization criterion and restrictions need structural dimensions of the magnetic system. The
sensitivities of the electromagnetic transducers depends on the phases current , which should be taken as a criterion
in the first stage of optimization. Since a significant change in the magnetic voltage in the working area of the magnetic
system - one of the main reasons for the low accuracy of electromagnetic transducer of three-phases current, the
optimization criterion of the second step need to select up for a reduction of errors (often sufficient condition
%
5
U
)
Generally, index optimization will be written as:
Volume 03 Issue 12-2023
33
American Journal Of Applied Science And Technology
(ISSN
–
2771-2745)
VOLUME
03
ISSUE
12
Pages:
31-36
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.063
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
)
,
(
Y
X
I
I
i
=
(2)
Here, vector
n
X
X
X
X
...,
,
,
2
1
=
- the constructive size and design parameters of magnetic system, which not
have subject to optimization procedure, vector
m
X
Y
Y
Y
...,
,
,
2
1
=
, which
i
Y
- the design dimensions and parameters
of the magnetic system, defining the optimization process: i.e.
and
.
Thus, after the optimization procedure results dimensions and parameters should be minimized,
s
K
and
U
while maintaining other desired characteristics within specified requirements. At the same time in the design
dimensions and parameters-imposed constraints, that are dependent on the application. In particular, for magnetic
system with parallel rods can be applied the following linear constraints:
m
m
3
4
10
2
10
5
−
−
,
4
2
10
5
,
1
10
,
2
10
1
з
.
Fig. 2. Dependence of the degree of volatility of all working voltage of the magnetic permeability of steel
Optimality criterion, according to equation (2) is a nonlinear function of the design parameters of magnetic system of
the electromagnetic current transducers.
Volume 03 Issue 12-2023
34
American Journal Of Applied Science And Technology
(ISSN
–
2771-2745)
VOLUME
03
ISSUE
12
Pages:
31-36
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.063
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
On the basis, above criteria of optimization provide error reduction in the conversion of electrical current in the
magnetic pull in magnetic circuit of the current transformation of the electromagnetic transducer. The equations of
the static characteristic of elementary transformation of the electric current in magnetic structure of the
electromagnetic voltage current converter is described as follows:
э
U
I
I
K
U
э
=
,
wIэ
U
=
(3)
Given impact of sources of error equation (2) is as follows:
э
U
I
U
I
I
K
K
U
э
э
)
(
0
+
=
, (4)
where
U
I
э
K
- coefficient of entertain link between the primary electric current
I
and magnetic intensity
(magnetomotive force)
U
μ
,
U
I
э
K
- a deviation from the predetermined number of turns, which is almost equal to
zero;
э
I
- current of the excitation coil - a primary electrical network with errors.
If primary current electrical current unstabilized, additived some error, i.e.
)
1
)(
(
R
э
э
э
I
I
I
+
=
, (5)
and absenced from temperature error multiplicative, error component is will equal to zero. Substitute (4) to (5), and
neglectine the second ary receive.
э
U
I
э
U
I
э
U
I
I
K
I
K
I
K
U
э
э
э
+
+
=
0
0
. (6)
The relative error is determinate from the formula
)
(
)
(
0
0
I
U
э
I
K
U
э
I
э
э
U
э
I
э
э
U
I
U
I
I
I
K
K
U
U
U
+
=
+
=
−
=
. (7)
For the component
э
U
I
I
K
э
affected from external field. In production areas with high-voltage installations
external magnetic field for
Tl
10
5
,
0
10
4
5
−
−
[2]. This area can be induce in the windings of the electromagnetic
current transducer e.m.f which equal
,
2
0
m
В
fwS
e
=
where
0
S
- area of winding;
m
В
- amplitude of magnetic induction of external field.
Volume 03 Issue 12-2023
35
American Journal Of Applied Science And Technology
(ISSN
–
2771-2745)
VOLUME
03
ISSUE
12
Pages:
31-36
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.063
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
Well known [2, 8], what in the magnetic flux density of the electromagnetic current transformers ranging from 0.01
to 1 Tl. The proportion of external magnetic fields in absence of electromagnetic screen (0.005 - 0.05)%. When the
screening div electromagnetic transducer current magnetic induction field inside the screen is determined as:
)
2
/
2
(
эк
f
m
e
B
B
−
=
,
where in
,
- respectively and electrical resistance of the material.
Realization of the concept
The share of external magnetic fields of two magnitude reduced by screening or differential circuits of
electromagnetic current transducer [1-4]. Therefore, we can neglect the effect of errors on the external magnetic
field.
Another component of the error, a part of the equation (7) is determined
э
э
э
U
I
э
U
I
I
I
I
K
I
K
э
э
U
э
I
=
=
. (8)
According to [2,3,5-7], the distribution of elemental electromagnetic conversion error which equal:
−
+
=
1
э
э
э
)
(
э
э
эв
эm
U
U
U
U
I
I
U
I
.
When used a constant current, error is negligible, and the voltage stabilization current is determined by
equation:
)
1
(
мед
=
э
э
I
I
.
CONCLUSION
As the results of practical research, for the case of
aluminum wire, as the field of windings of the
electromagnetic current transducer ( ) error of 0.015%
will change at 100С of temperature.
REFERENCES
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Amirov S.F., Azimov R.K., Siddikov I.Kh., Khakimov
M.Kh., Khushboqov B.X., Sattarov Kh.A. Patent
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–
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–August), р.137
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Volume 03 Issue 12-2023
36
American Journal Of Applied Science And Technology
(ISSN
–
2771-2745)
VOLUME
03
ISSUE
12
Pages:
31-36
SJIF
I
MPACT
FACTOR
(2021:
5.
705
)
(2022:
5.
705
)
(2023:
7.063
)
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
3.
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