Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода

The algorithm for determining equivalent circuit parameters and a model of three-phase five-legged transformer are proposed. The model takes account the hysteretic and dynamic properties of the core material and reproduces magnetic fluxes in the nonmagnetic medium. The applicability of the model in...

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Datum:2011
Hauptverfasser: Зирка, С.Е., Мороз, Ю.И., Мороз, Е.Ю., Тарчуткин, А.Л.
Format: Artikel
Sprache:Russian
Veröffentlicht: Інститут електродинаміки НАН України 2011
Schriftenreihe:Технічна електродинаміка
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/62006
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Zitieren:Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода / С.Е. Зирка, Ю.И. Мороз, Е.Ю. Мороз, А.Л. Тарчуткин // Технічна електродинаміка. — 2011. — № 5. — С. 25-35. — Бібліогр.: 12 назв. — pос.

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spelling nasplib_isofts_kiev_ua-123456789-620062025-02-09T14:10:10Z Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода The modeling of transient processes in three-phase transformer taking into account topology and hysteretic properties of the core Зирка, С.Е. Мороз, Ю.И. Мороз, Е.Ю. Тарчуткин, А.Л. Теоретична електротехніка та електрофізика The algorithm for determining equivalent circuit parameters and a model of three-phase five-legged transformer are proposed. The model takes account the hysteretic and dynamic properties of the core material and reproduces magnetic fluxes in the nonmagnetic medium. The applicability of the model in studying main transformer regimes is shown. 2011 Article Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода / С.Е. Зирка, Ю.И. Мороз, Е.Ю. Мороз, А.Л. Тарчуткин // Технічна електродинаміка. — 2011. — № 5. — С. 25-35. — Бібліогр.: 12 назв. — pос. 0204-3599 https://nasplib.isofts.kiev.ua/handle/123456789/62006 621.318.001.4 ru Технічна електродинаміка application/pdf Інститут електродинаміки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language Russian
topic Теоретична електротехніка та електрофізика
Теоретична електротехніка та електрофізика
spellingShingle Теоретична електротехніка та електрофізика
Теоретична електротехніка та електрофізика
Зирка, С.Е.
Мороз, Ю.И.
Мороз, Е.Ю.
Тарчуткин, А.Л.
Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
Технічна електродинаміка
description The algorithm for determining equivalent circuit parameters and a model of three-phase five-legged transformer are proposed. The model takes account the hysteretic and dynamic properties of the core material and reproduces magnetic fluxes in the nonmagnetic medium. The applicability of the model in studying main transformer regimes is shown.
format Article
author Зирка, С.Е.
Мороз, Ю.И.
Мороз, Е.Ю.
Тарчуткин, А.Л.
author_facet Зирка, С.Е.
Мороз, Ю.И.
Мороз, Е.Ю.
Тарчуткин, А.Л.
author_sort Зирка, С.Е.
title Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
title_short Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
title_full Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
title_fullStr Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
title_full_unstemmed Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
title_sort моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода
publisher Інститут електродинаміки НАН України
publishDate 2011
topic_facet Теоретична електротехніка та електрофізика
url https://nasplib.isofts.kiev.ua/handle/123456789/62006
citation_txt Моделирование переходных процессов в трехфазном трансформаторе с учетом топологии и гистерезисных свойств магнитопровода / С.Е. Зирка, Ю.И. Мороз, Е.Ю. Мороз, А.Л. Тарчуткин // Технічна електродинаміка. — 2011. — № 5. — С. 25-35. — Бібліогр.: 12 назв. — pос.
series Технічна електродинаміка
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(5) H - . : 0)()( 12 10 1 01 5.02 kkk k k k H l R dt dBBg dt dBd , k = A, B, C, (6) 0)()( 2 1)( 12 B0B3B030A3A03 2 AB 5.0 AB AB AB 2 HRR ldt dBBg dt dBd , (7) 2 rL1, 0.0004 rL2, 0.92 r1, 0.00073667 r2, 0.352 LL1, / L1, 0.127324 / 0.04 LL2, / L2, 31.831 / 10. 1, 6400 2, 1500 , , , 9.093 , , , 303.109 w1 36 w2 695 ISSN 1607-7970. .e . 2011. 5 29 0)()( 2 1)( 12 BC0C3C030B3B03 2 BC 5.0 BC BC BC 2 HRR ldt dBBg dt dBd , (8) 0)()( 12 30 3 30 5.02 kj j k k k k H l R dt dBBg dt dBd , k =D, F, j = A, C. (9) : dt dBSuuri wdt k kjk k 11111 1 10 1 , k =A, B, C, j =B, C, A, (10) dt dBS dt uri wdt kk kk k 1 10 222 2 20 1 , k =A, B, C, (11) L22 2 2 1 kk k ii Cdt du , 2L2L22 L2 L2 1 kkk k uri Ldt di , k=A, B, C, (12) kjk k iii Cdt du 110 1 1 1 , k =A, B, C, j =C, A, B, (13) A11C0C0AL1C1A1 A11B0B0AL1B1A1 L1 1 0B 0A )( )(1 12 11 uuiiree uuiiree Li i dt d . (14) k j (9), (10) (13) , k =A, B C, j =B, C A . , 24 (6) (14), - 11 (3) (5). , . . . 2, ( « » R01, R02, R03, R 03 R04), R02 2 02 KR w L . 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(23), - x , R03 R 03, R04 - ISSN 1607-7970. .e . 2011. 5 31 . , R04 R03 R 03, - (23) . (23) x R04. , R04 (18) . , R04, R03 RB03 R , (19). , (23), 03B03, RRx . , R04 . , , . , , - ( , ), - R04. R04 - , . - , (16) (15), L =0.56848059 R02=2279761 1/ . , - [8], L =0.75196876637 L =463.8289983 . - , . R0AB =R0B =R04, , K =R04 /R2S, R2S – . , (22) (19), (R01 =4614212.2 1/ ). (23) RA03 =R 03 =R03 RB03. . 3 - K. . , , - , . - ( ) [1] - . , , - . , . , « » ( . 6, ), . - , ( 20 30 ). - , , - . . , - , - , . « - » , . , , , - . ( ), , - [9] [12] ( - ). . , - 3 K R04, 1/ R03, 1/ RB03, 1/ 1.0 6103787.0 91392.887 93193.020 0.2 1220757.4 96570.447 104633.75 0.04 244151.48 120164.87 182126.96 32 ISSN 1607-7970. . e . 2011. 5 , [12] [1], ( , , 1%). , . - ( , ), - , . . t=0 , . ( t=700 ) . - - . 3 . . 6 ( ), ( ) ( ), - ( ) ( ) K=0.04. . 6, ( - 2 ). K . 3 . 6. , , . - , , - , 30 ( . 6, ). , - K . 3 (0.04 1.0), 0.1%. , - 16.9, 0.7 25.9 , - K 1%. , - R04 - - . R03 RB03 ( ) . . - , , t=500 . , , . - K. K=0.04 . 7, . . 7, - . - . , - ISSN 1607-7970. .e . 2011. 5 33 R04 ( K 0.1%). . . , , . . 8, , ( 40- ) ( . 8, ), - - , - . - ( . 8, ) . - . 8, ) . A ( . 8, ) - 124 , - - . B C - - 13 . - - . - , - , - - R04 . . - , - . . , , (R B=R C=R04), , - ( - ). , R04 - , . , R04 - ( R04 ). R04 - , , (R03 RB03) , R04, - , . , , . [2], - 34 ISSN 1607-7970. . e . 2011. 5 «step-lap». , - , , , . . 1. ., . // . . 2002. 5. . 7 13. 2. ., ., ., . - // . . – 2010. – 2. – . 11 20. 3. . . – .: , 1981. – 392 . 4. . // - . – 2008. – 2. – . 2–18. 5. ., ., ., ., ., ., - ., . // . – 2009. – 4. – . 26 36. 6. Arturi C.M. Transient simulation of a three phase five limb step-up transformer following an out-of-phase synchronization // IEEE Transactions on Power Delivery. – 1991. – Vol. 6. – 1. – P. 196 207. 7. Chandrasena W., McLaren P.G., Annakkage U.D., Jayasinghe R.P. An improved low-frequency trans- former model for use in GIC studies // IEEE Transactions on Power Delivery. – 2004. – Vol.19. – 2. – P. 643 651. 8. Fawzi T.H., Burke P.E. The accurate computation of self and mutual inductances of circular coils // IEEE Transactions on Power Apparatus and Systems. – 1978. – Vol. PAS-97. – 2. – P. 464 468. 9. Jiles D.C., Atherton D.L. Theory of ferromagnetic hysteresis // Journal of Applied Physics. – 1984. – Vol. 55. – P. 2115 2120. 10. Martinez J.A., Mork B.A. Transformer modeling for low- and mid-frequency transients – A review // IEEE Transactions on Power Delivery. – 2005. – Vol. 20. – 2. – . 1625–1632. 11. Theocharis A.D., Milias-Argitis J., Zacharias Th. Three-phase transformer model including magnetic hysteresis and eddy currents effects // IEEE Transactions on Power Delivery. – 2009. – Vol. 24. – 3. – . 1284–1294. 12. Zirka S.E., Moroz Yu.I., Marketos P., Moses A.J., Jiles D.C., Matsuo T. Generalization of the classical method for calculating dynamic hysteresis loops in grain-oriented electrical steels // IEEE Transactions on Magnetics. – 2008. – Vol. 44. – 9. – . 2113–2126. 621.318.001.4 - 1, , 2, , 3, 4, 1,2,3 , . , 72, , 40010, , 4 « », , , , - . . . 12, . 3, . 8. : , , , . ISSN 1607-7970. .e . 2011. 5 35 The modeling of transient processes in three-phase transformer taking into account topology and hysteretic properties of the core S.E.Zirka1, Yu.I.Moroz2, E.Yu.Moroz3, A.L.Tarchutkin4, 1,2,3 Dnipropetrovskyi Natsionalnyi Universytet, Gagarina pr., 72, Dnipropetrovsk, 40010, Ukrain , 4 Vidkryte Aktsionerne Tovarystvo “VIT”, Ukrain , Zaporizhzhia The algorithm for determining equivalent circuit parameters and a model of three-phase five-legged transformer are proposed. The model takes account the hysteretic and dynamic properties of the core material and reproduces magnetic fluxes in the nonmagnetic medium. The applicability of the model in studying main transformer regimes is shown. References 12, tables 3, figures 8. Key words: three-phase five-legged transformer, equivalent circuit, hysteretic, core material. 1. Zirka S.E., Moroz Yu.I. Algorithms of the hysteresis modeling in the magnetodynamic problems // Tekhnichna elektrodynamika. – 2002. 5. P. 7 13. (Rus) 2. Zirka S.E., Moroz Yu.I., Moroz E.Yu., Tarchutkin O.L. The modeling of transformer transients taking into account hysteresis properties of the core // Tekhnichna elektrodynamika. – 2010. – 2. – P. 11 20. (Rus) 3. Leites L.V. Electromagnetic calculations of transformers and reactors. – Moskva: Energiia, 1981. – 392 p. (Rus) 4. Lurie A.I. Transformer energization under no-load and short-circuit events // Elektrotechnika. – 2008. – 2. – P. 2–18. (Rus) 5. Pauk Yu.I., Dorogokuplia V.A., Zhelonin V.A., Kravchenko S.V., Lazarev V.I., Ostrenko M.V., Tarchutkin O.L., Chornogotskii V.M. The software for design of transformers and reactors // Electro. – 2009. – 4. – P. 26 36. (Rus) 6. Arturi C.M. Transient simulation of a three phase five limb step-up transformer following an out-of-phase synchronization // IEEE Transactions on Power Delivery. – 1991. – Vol. 6. – 1. – P. 196 207. 7. Chandrasena W., McLaren P.G., Annakkage U.D., Jayasinghe R.P. An improved low-frequency transformer model for use in GIC studies // IEEE Transactions on Power Delivery. – 2004. – Vol.19. – 2. – P. 643 651. 8. Fawzi T.H., Burke P.E. The accurate computation of self and mutual inductances of circular coils // IEEE Transactions on Power Apparatus and Systems. – 1978. – Vol. PAS-97. – 2. – P. 464 468. 9. Jiles D.C., Atherton D.L. Theory of ferromagnetic hysteresis // Journal of Applied Physics. – 1984. – Vol. 55. – P. 2115 2120. 10. Martinez J.A., Mork B.A. Transformer modeling for low- and mid-frequency transients – A review // IEEE Transactions on Power Delivery. – 2005. – Vol. 20. – 2. – . 1625–1632. 11. Theocharis A.D., Milias-Argitis J., Zacharias Th. Three-phase transformer model including magnetic hys- teresis and eddy currents effects // IEEE Transactions on Power Delivery. – 2009. – Vol. 24. – 3. – . 1284–1294. 12. Zirka S.E., Moroz Yu.I., Marketos P., Moses A.J., Jiles D.C., Matsuo T. Generalization of the classical method for calculating dynamic hysteresis loops in grain-oriented electrical steels // IEEE Transactions on Magnetics. – 2008. – Vol. 44. – 9. – . 2113–2126. 25.03.2011 Received 25.03.2011