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4Oriental Renaissance: Innovative, (E)ISSN:2181-1784
educational, natural and social sciences www.oriens.uz
SJIF 2023 = 6.131 / ASI Factor = 1.7 3(5), May, 2023
RESEARCH ON THE DEPENDENCE OF AIR HUMIDITY ON TRANSFORMERS' BREAKDOWN INDICATORS
O. M. Kutbidinov, D. T. Yusupov
institute of Energy Problems, Academy of Sciences of the Republic of Uzbekistan,
Tashkent, Uzbekistan 2,3,4,5 Tashkent state transport university, Tashkent, Uzbekistan E-mail: odiljon.qutbidinov@bk.ru
ABSTRACT
This article collects data on the breakdown indicators of traction transformers in operation in the railway system, as well as air humidity.The correlations between the number of faults in the traction transformers and the humidity in the air were determined. A regression model was used to determine these correlations.
Key words: breakdown indicators, traction transformers, correlations.
АННОТАЦИЯ
В данной статье собраны данные об аварийных показателях тяговых трансформаторов, находящихся в эксплуатации в системе железных дорог, а также о влажности воздуха. Определены корреляции между количеством неисправностей тяговых трансформаторов и влажностью воздуха. Для определения этих корреляций использовалась регрессионная модель.
Ключевые слова: аварийные индикаторы, тяговые трансформаторы, корреляции.
INTRODUCTION
Failure of the traction transformer can cause failures of other electrical equipments of electric locomotives [1-5]. This leads to the failure of electric locomotives, which in turn leads to many other problems. During operation, traction transformers are affected by many external factors that cause them to break down and fail [6-9]. One of the main factors influencing the performance of transformers is humidity. The presence of moisture (water) in the transformer leads to failure of the insulation, changes in the properties of the transformer oil [5-11].
RESEARCH METHOD
Data on the number of failures of traction transformers of ODTsE 5000/25 B and OTsR 5600/25 types in operation in the railway system for 2017-2019, as well as humidity in the air were collected.
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THE RESULTS OBTAINED AND THEIR ANALYSIS:
Regression analysis shows how the variables xlyxZy..xn depend on the output variable y.
The linear regression equation [2-7], which establishes a linear relationship between the two indicators, is:
Where,
the number of traction transformers repaired; . .. -humidity index; . - - regression constant; j. -is the regression coefficient [2-5]. For: ODTsE -5000/25 B
2017
----------------
__________
____________
________-P-5---
0
-10 0 5 10 15 20
Figure 1. Dependence of the number of faults of the traction transformer type ODTsE-5000 / 25B for 2017 on the humidity in the air The linear equation in2017:
y = -0,0083x + 2,0442 (2)
Determination coefficient: R2 = 0.0124 The degree-dependent equation in 2017:
y = -0,0001x5 + 0,0627x4 - 10,522x3 + 871,85x2 - 35522x + 566527 (3) Determination coefficient: R2 = 0,8645
2018
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----------------- -----------------
i " " _____________
__________fV-^--
0
-10
-S
20
0 5 10
Figure 2. Dependence of the number of faults of the traction transformer type ODTsE-5000 / 25B for 2018 on the humidity in the air The linear equation in 2018: y = 0,0123x + 0,4852 Determination coefficient: R2 = 0,3461 The degree-dependent equation in 2018: y = -8-10-5 x3 + 0,016x2 - 0,9304x + 18,119 Determination coefficient R2 = 0,998 2019
(4)
(5)
---------3--5—
---------
k
Jr
____________t__.
_________A _ _.
0
-10 -5 0 5 10 15 20
Figure 3. Dependence of the number of faults of the traction transformer type ODTsE-5000 / 25B for 2019 on the humidity in the air
The linear equation in 2019:
y = -0,0081x + 2,0093 (6)
Determination coefficient: R2 = 0,1001
The degree-dependent equation in 2019:
y = 4-10-7 x5 - 0,0001x4 + 0,0202x3 - 1,3565x2 + 44,262x - 554,18
Determination coefficient: R2 = 0,8762
(7)
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For: OTsR -5600/25
2017
_____A_____2___
____________
__________A-5---
0
-10
-S
20
0 5 10 15
Figure 4. Dependence of the number of faults of the traction transformer type OTsR -5600/25 for 2017 on the humidity in the air The linear equation in 2017:
y = 0,0066x + 1,2112 (8)
Determination coefficient: R2 = 0,077 The degree-dependent equation in 2017: y = 0,0002x3 - 0,0349x2 + 2,1066x - 38,037 (9)
Determination coefficient: R2 = 0,9669
2018
----------------- ..........-j~zr-- m 1 ----------------- ----------------- -----------------
___________1-5---
___________(xsr--
0
-10 0 5 10 15 20
Figure 5. Dependence of the number of faults of the traction transformer type OTsR -5600/25 for 2018 on the humidity in the air The linear equation of in 2018: y = 0,0155x + 0,1906 (10)
Determination coefficient: R2 = 0,4639 The degree-dependent equation in 2018:
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y = 110-4 x3 - 0,0192x2 + 1,2069x - 22,872 Determination coefficient: R2 = 0,948 2019
(11)
-----------CT.-D" ------------------
-j— -----------o-jz---
-----------T.-D"-
I" fV Ji
t/ro -e-
-10
-5
10
15
20
Figure 6. Dependence of the number of faults of the traction transformer type OTsR -5600/25 for 2019 on the humidity in the air The linear equation in 2017: y = -0,002x + 1,4291 (12)
Determination coefficient: R2 = 0,0107 The degree-dependent equation in 2019:
y = -7-10-7 x5 + 0,0002x4 - 0,0281x3 + 1,6652x2 - 46,789x + 501,64 (13)
Determination coefficient: R2 = 0,7067
Total
2017
0 20 40 60 SO 100 120
Figure 7. Dependency of 2017's overall traction transformer rate of failure on air humidity
The linear equation in 2017: y = -0,0085x + 2,6519 (14)
Determination coefficient: R2 = 0,0979
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The degree-dependent equation in 2017:
y = -6-10-9 x6 + 2-10-6 x5 - 0,0003x4 + 0,0252x3 - 0,9797x2 + 18,418x -121,66
(15)
Determination coefficient: R2 = 0,4823 2018
Figure 8. Dependency of 2018's overall traction transformer rate of failure on air humidity
The linear equation in 2018:
y = -0,0085x + 2,6519 (16)
Determination coefficient: R2 = 0,0979 The degree-dependent equation in 2018:
y = -6-10-6 x6 + 2-10-6 x5 - 0,0003x4 + 0,0252x3 - 0,9797x2 + 18,418x - 121,66
(17)
Determination coefficient: R2 = 0,4823 2019
0 20 40 60 SO 100 120
Figure 9. Dependency of 2019's overall traction transformer rate of failure on air humidity
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The linear equation in 2019:
y = -0,0085x + 2,6519 (18)
Determination coefficient: R2 = 0,0979 The degree-dependent equation in 2019:
y = -6-10-9 x6 + 2-10-6 x5 - 0,0003x4 + 0,0252x3 - 0,9797x2 + 18,418x - 121,66
(19)
Determination coefficient: R2 = 0,4823 CONCLUSION
The equations of dependence of traction transformers on humidity are obtained. The dependence of traction transformers on air humidity was found to be exponential.
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SJIF 2023 = 6.131 / ASI Factor = 1.7
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