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Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
Curso Sistemas Trifasicos
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Curso Sistemas Trifasicos

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Estudio de los Sistemas Trifásicos

Estudio de los Sistemas Trifásicos

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  • 1. !quot; # $ !quot; $ % &
  • 2. ' ( # )* # )* + , + ) /01* -. 2- 2 23 2
  • 3. # ) -* 4 , (56(∠/0 (6 (∠ 5 /0 (-6(∠7 /0 5 ( # 4# #
  • 4. 89 u u( t ) = U MAX sen(ωt + 0°) N t -90° -60° -30° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360° ω S TENSION # : # )*
  • 5. 89 u( t ) = U MAX sen(ωt − 120°) u, i N t -90° -60° -30° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360° ω S 5 /0: ; # < )*
  • 6. 89 u( t ) = U MAX sen(ωt + 120°) u N t -120° -90° -60° -30° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360° ω S 5 /0: # < )*
  • 7. u N t -120° -90° -60° -30° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360° S 4 120° 120° == = #
  • 8. T1 )* R1 0° ϕ6 12 /0 12 0° N S2 T2 R2 R1 T2 S1 S2 S T1 R2 S1 120° # #
  • 9. UTT` ) * ) * 12 0° U RR´ = U F ∠0° 120° URR` USS´ = U F ∠ − 120° 0° 12 UTT ´ = U F ∠ + 120° USS`
  • 10. ! . + $ +T1 +S1 +R1 ! 8 $ -T2 -S2 -R2 # + # # + !quot; < % $
  • 11. 8 % + : )# *
  • 12. 8 % +R1 +R1 -T2 -R2 -S2 -R2 +T1 -T2 +S1 +T1 -S2 +S1 8 % & 8 %
  • 13. IR R R + Punto centro de la estrella - URS O - UTR - IS T S + S + UST IT T -+ :4 - 4- +
  • 14. > 4 + R R + + URO - URS O - - USO T S + S + + T + U RS = U RO − USO + # ?4 ?
  • 15. > 4 + U RS -U SO U RS = U RO − USO U LINEA + 60° 30° U RO U RO U FASE U LINEA = 2cos 30°U FASE 120° U SO U LINEA = 3 U FASE
  • 16. -U -U U RS URS RO U TO RO U TO U RS -USO + U TR -USO U TR UTR 120° # 60° 60° 30° 30° U RO U RO 120° 0° 120° 12 + 12 0° USO USO 5 /0 + -UTO U -UTO UST U ST ST
  • 17. -URO U TO U RS ( ?6 >∠/0 ( -U SO U TR ( ?6 >∠ 5 /0 ( 60° ( ?6 >∠7 /0 30° ( 5 U RO 120° + USO ( 6 ∠-/0 ( ( 6 ∠@ ( /0 ( 6 ∠7 /0 -U TO ( 5A UST
  • 18. 8 IR R R + ; quot; IR - IT O - < - IS T S # + + S + IS IT ILINEA = IFASE T -+ :4
  • 19. R R + B )* B - URS N - UTR - T S + URO S + UST USO T UTO N - + + : : 4B 4-
  • 20. IR T2 R1 - + I SR U U T1T2 R1R2 U RS I TS + I RT - IS U TR T1 R2 - + S2 S1 U S1S2 U ST IT 4 +
  • 21. UR1R2 =U RS + 4 120° (6(∠/0 (6(∠ 5 /0 120° UR1R2 =U RS (6(∠7 /0 5 120° U LINEA = U FASE US1S2 =U ST
  • 22. 8 IR -I TS IT R T2 R1 - + I SR U U I RT T1T2 R1R2 I TS + I RT - IS T1 R2 120° 120° S ISR - + S2 S1 U 30° S1S2 120° IT IS -I RT T I TS -I SR IR < # # + :# C #, 6
  • 23. IR R + U RS IS U TR S GENERADOR CARGA TRIFASICO TRIFASICA + U ST IT T + ( # # + 5 /0 +4
  • 24. 8 ; IR - + D U RS IS # - CARGA U TR , + TRIFASICA (E U ST IT FG 7 - + (E FG 7 (E FG 7
  • 25. 8 quot; 4 4 # = ! H $8 ! $
  • 26. 8 # IR + - + 8 # U RS IS % - CARGA U TR 8 + TRIFASICA 8 U ST IT 8 # - + 8 H 8 =
  • 27. 8 H # I I R R ZØ ZØ ZØ ZØ S S ZØ ZØ T T 8 = 8 = 8 8 +
  • 28. 8 I LINEA R UFASE ZØ ULINEA ZØ I LINEA S ZØ I LINEA T
  • 29. 8 8 + F > G IR R + U RN Z IN N Z IS + Z + S IT T # < # 8 # #
  • 30. 8 8 + IR R + U RN Z IN N U F ∠0° U RN IR = IR = Z∠φ Z # UF (> 4 # ∠0° − φ IR = J Z
  • 31. 8 8 + U F ∠ − 120° IS = N Z∠φ IS + UF Z ∠ − 120° − φ IS = S Z IN N U F ∠ + 120° Z IT = Z∠φ + IT UF ∠ + 120° − φ IT = Z T
  • 32. 8 8 + U TN U RN = U F ∠0° IT Ø IR = IF ∠0° − φ USN = U F ∠ − 120° U RN IS = IF ∠ − 120° − φ Ø IS IR Ø UTN = U F ∠ + 120° IT = IF ∠ + 120° − φ USN
  • 33. 48 UU TN TN IT U TN Ø IT 120° U RN 120° U RN IR Ø IS IR IS U RN 120° Ø USN Ix = 0 USN USN = 8 ?! quot; + $
  • 34. 8 8 + IR R + U RN Z IN N N´ Z IS + Z + S IT T IN + IR + IS + IT = 0 # K IN = 0 # BL #
  • 35. 8 8 + IR R + U RN´ Z U RS N´ Z IS U SN´ + Z + S IT T + # 4 # : # J # +
  • 36. 8 8 + IR 4 U RN´ Z + U RS N´ # Z IS U SN´ < Z # IT #
  • 37. 8 I LINEA R ZØ ZØ ULINEA UFASE = I LINEA I FASE S ZØ I LINEA T
  • 38. 8 8 + IR R + ITR IRS U RS Z U TR Z IS S Z U ST IT T + + # # :
  • 39. 8 8 + R + ITR IRS U RS Z U TR Z TR S T + UTRU RS − ∠ + ∠0°°I U FFU F ∠120° − φ UF U F φ F 120 U Uy IRS = ∠0° = = = = ∠0° − ° − φ ITR ∠120 φ = = = IRS TR ZZ ZZ Zφ Z∠∠φ Z Z
  • 40. 8 8 + IR R + ITR IRS U RS Z U TR Z IS S Z U ST IT T + + IR = IRS − ITR K
  • 41. 8 8 + U TR I TR IR = IRS − ITR Ø I LINEA = 2 cos 30°I FASE U RS IFASE Ø I RS 30° I LINEA = 3 I FASE ILINEA -I TR IR
  • 42. 8 8 + -I ST U TR IT I TR + # 30° Ø IS U RS I R = I RS − ITR 30° Ø -IRS I RS IS = IST − I RS IST Ø 30° IT = ITR − IST -ITR UST IR
  • 43. 8 8 + U TR IT + Ø +30° # IS + U RS φ 7 -/0 Ø +30° Ø +30° M 8 I C #: IR # # 7N C F ;G UST
  • 44. <; & R R S S T T 1 1 ZY Z∆ Z∆ ZY Z∆ ZY 3 2 3 2 1 ZΥ = Z∆ 3
  • 45. # 8 R R S S T T N N M 3Ø 3Ø Motor trifásico Horno trifásico Motor trifásico Horno trifásico 15 kW 4,5 kW 15 kW 4,5 kW F.P.=0.86 conectado conectado en en estrella triángulo : # ##

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