Reliability-Oriented Modeling of Bellows Compensators: A Comparative PDE-Based Study Using Finite Difference and Finite Element Methods
| Parent link: | Mathematics.— .— Basel: MDPI AG Vol. 13, iss. 21.— 2025.— Article number 3452, 30 p. |
|---|---|
| مؤلفون آخرون: | , , , , , , |
| الملخص: | In traction networks of mining enterprises, ensuring selective and sensitive protection remains an urgent task, especially in conditions of frequent starts of electric transport and possible cases of short circuits, lack of reliable grounding and increased spreading resistance. Standard methods—maximum current protection (MCP) and differential current protection (DCP)—demonstrate limited efficiency at operating currents less than 800 A, which is typical for remote sections of the contact network. The objective of this study is to develop and experimentally verify a method for adjusting the parameters of current and impulse protection, ensuring reliable shutdown of accidents at low values of short-circuit current without the need to replace equipment. The proposed method is based on transient processes modeled using differential equations and the introduction of a dynamic sensitivity coefficient reflecting the dependence of the setting on the circuit time constant. Universal response characteristics were constructed in normalized coordinates for BAT-49 and VAB-43 switches and RDSh-I and RDSh-II relays. Experiments have confirmed that the application of the method allows for reducing the tripping threshold to 600–650 A, increasing the selectivity of protection to 95% and reducing the probability of false tripping by more than two times compared to MCP/DCP. The response time remained within 35–45 ms, which meets the requirements for high-speed systems. The developed method is adapted to different network sections using the relative coordinates of the energy consumer on the supply section of the traction network and does not require complex digital equipment. This makes it especially effective in field conditions, where it is impossible to upgrade the protection using intelligent adaptive systems Текстовый файл |
| اللغة: | الإنجليزية |
| منشور في: |
2025
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.3390/math13213452 |
| التنسيق: | الكتروني فصل الكتاب |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=683669 |
MARC
| LEADER | 00000naa0a2200000 4500 | ||
|---|---|---|---|
| 001 | 683669 | ||
| 005 | 20251210091001.0 | ||
| 090 | |a 683669 | ||
| 100 | |a 20251210d2025 k||y0rusy50 ca | ||
| 101 | 1 | |a eng | |
| 102 | |a CH | ||
| 135 | |a drcn ---uucaa | ||
| 181 | 0 | |a i |b e | |
| 182 | 0 | |a b | |
| 183 | 0 | |a cr |2 RDAcarrier | |
| 200 | 1 | |a Reliability-Oriented Modeling of Bellows Compensators: A Comparative PDE-Based Study Using Finite Difference and Finite Element Methods |f Yerzhan Y. Sarybayev, Doszhan Y. Balgayev, Denis Y. Tkachenko [et al.] | |
| 203 | |a Текст |b визуальный |c электронный | ||
| 283 | |a online_resource |2 RDAcarrier | ||
| 320 | |a References: 39 tit | ||
| 330 | |a In traction networks of mining enterprises, ensuring selective and sensitive protection remains an urgent task, especially in conditions of frequent starts of electric transport and possible cases of short circuits, lack of reliable grounding and increased spreading resistance. Standard methods—maximum current protection (MCP) and differential current protection (DCP)—demonstrate limited efficiency at operating currents less than 800 A, which is typical for remote sections of the contact network. The objective of this study is to develop and experimentally verify a method for adjusting the parameters of current and impulse protection, ensuring reliable shutdown of accidents at low values of short-circuit current without the need to replace equipment. The proposed method is based on transient processes modeled using differential equations and the introduction of a dynamic sensitivity coefficient reflecting the dependence of the setting on the circuit time constant. Universal response characteristics were constructed in normalized coordinates for BAT-49 and VAB-43 switches and RDSh-I and RDSh-II relays. Experiments have confirmed that the application of the method allows for reducing the tripping threshold to 600–650 A, increasing the selectivity of protection to 95% and reducing the probability of false tripping by more than two times compared to MCP/DCP. The response time remained within 35–45 ms, which meets the requirements for high-speed systems. The developed method is adapted to different network sections using the relative coordinates of the energy consumer on the supply section of the traction network and does not require complex digital equipment. This makes it especially effective in field conditions, where it is impossible to upgrade the protection using intelligent adaptive systems | ||
| 336 | |a Текстовый файл | ||
| 461 | 1 | |t Mathematics |c Basel |n MDPI AG | |
| 463 | 1 | |t Vol. 13, iss. 21 |v Article number 3452, 30 p. |d 2025 | |
| 610 | 1 | |a bellows compensator | |
| 610 | 1 | |a stress-strain state | |
| 610 | 1 | |a partial differential equations | |
| 610 | 1 | |a finite difference method | |
| 610 | 1 | |a von Mises criterion | |
| 610 | 1 | |a buckling analysis | |
| 610 | 1 | |a axisymmetric shell | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a электронный ресурс | |
| 701 | 1 | |a Sarybaev |b E. |g Erzhan | |
| 701 | 1 | |a Balgaev |b D. |g Doszhan | |
| 701 | 1 | |a Tkachenko |b D. Yu. |g Denis Yurjevich | |
| 701 | 1 | |a Martyushev |b N. V. |c specialist in the field of material science |c Associate Professor of Tomsk Polytechnic University, Candidate of technical sciences |f 1981- |g Nikita Vladimirovich |9 16754 | |
| 701 | 1 | |a Malozemov |b B. V. |g Boris Vitaljevich | |
| 701 | 1 | |a Beysenov |b B. S. |g Baurzhan | |
| 701 | 1 | |a Sorokova |b S. N. |c specialist in the field of Informatics and computer engineering |c associate Professor of Tomsk Polytechnic University, programmer, candidate of physico-mathematical Sciences |f 1981- |g Svetlana Nikolaevna |9 16596 | |
| 801 | 0 | |a RU |b 63413507 |c 20251210 | |
| 850 | |a 63413507 | ||
| 856 | 4 | |u https://doi.org/10.3390/math13213452 |z https://doi.org/10.3390/math13213452 | |
| 942 | |c CF | ||