Formulário de Sistemas Trifásicos
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Sistemas Trifásicos - Formulário Técnico Instalações Eléctricas Filipe Rocha ω= 2 ⋅ π T ϖ=2 ⋅ π ⋅ f T= 1 f u 1 =√ 2 ⋅ U 1 ⋅ sen ( ω ⋅ t ) u 2 = √ 2 ⋅ U 2 ⋅ sen ( ω ⋅ t− 2 ⋅ π 3 ) u 3 = √ 2 ⋅ U 3 ⋅ sen ( ω ⋅ t− 4 ⋅ π 3 ) U 12 = U 1 − U 2 U 23 = U 2 − U 3 U 31 = U 3 − U 1 U C = √ 3 ⋅ U S I N = I 1 + I 2 + I 3 I L = √ 3 ⋅ I Z I 12 = I 1 − I 2 I 23 =I 2 −I 3 I 31 = I 3 − I 1 I Z = U S Z I Z = U C Z 1 cv =735 W senϕ= Q S cos ϕ= P S tgϕ= Q P S=U ⋅ I P t =P 1 + P 2 +... + P n Q ti =Q 1 +Q 2 +... +Q n Q tf =P t ⋅ tgϕ f Q C =Q ti −Q tf C= Q ti −Q tf U 2 ⋅ ω C= Q C U 2 ⋅ ω P t = √ 3 ⋅ U C ⋅ I L ⋅ cos ϕ Q t = √ 3 ⋅ U C ⋅ I L ⋅ senϕ S t =√ 3 ⋅ U C ⋅ I L S t = √ P t 2 +Q t 2 P=U Z ⋅ I Z ⋅ cos ϕ Q=U Z ⋅ I Z ⋅ senϕ P t =P A + P B P t =| P A −P B | Q t = √ 3 ⋅ ( P A −P B ) η= P u P a Q 3C =Q i −Q f Q 1C = Q 3C 3 C= Q 1C U 2 ⋅ ω
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Sistemas Trifásicos - FormulárioPt ! P1 P2 ... Pn Qti ! Q1 Q2 ... Qn Qtf ! Pt tgN f QC ! Qti Qtf U 2 [ Q C ! 2C U [ Pt ! 3 U C I L cos N Qt ! 3 U C I L senN St ! 3 U C I L St ! Pt 2 Qt2 C! Qti QtfQ S P cos N ! S Q tgN ! P S !U I senN ![ u1 ! 2 U 1 sen t 2 T ¸ ¨ 2 U 2 sen© [ t ¹ 3 º ª 4T ¸ ¨ u 3 ! 2 U 3 sen© [ t ¹ 3 º ª u2 ! T T T U 12 ! U 1 U 2 T T T U 23 ! U 2 U 3 T T T U 31 ! U 3 U 1 U C ! 3 U S T T T T I N ! I1 I
Transcript of Formulário de Sistemas Trifásicos
Sistemas Trifásicos - Formulário
Técnico Instalações Eléctricas Filipe Rocha
ω=2⋅πT
ϖ=2⋅π⋅f
T=1f
u1=√2⋅U1⋅sen (ω⋅t )
u2=√2⋅U2⋅sen(ω⋅t−2⋅π3 )u3=√2⋅U3⋅sen(ω⋅t−4⋅π3 )U⃗12=U⃗ 1−U⃗ 2
U⃗23=U⃗ 2−U⃗3U⃗31=U⃗ 3−U⃗ 1
UC=√3⋅US
I⃗ N= I⃗ 1+ I⃗ 2+ I⃗ 3
IL=√3⋅IZ
I 12= I⃗ 1− I⃗ 2I 23=I 2−I 3I⃗ 31= I⃗ 3− I⃗ 1
IZ=U S
Z
IZ=UCZ
1cv=735W
senϕ=QS
cos ϕ=PS
tg ϕ=QP
S=U⋅I
Pt=P1+P2+. ..+PnQti=Q1+Q2+ .. .+Qn
Qtf=Pt⋅tg ϕf
QC=Qti−Qtf
C=Qti−QtfU2⋅ω
C=QCU2⋅ω
Pt=√3⋅U C⋅I L⋅cos ϕQt=√3⋅U C⋅I L⋅senϕSt=√3⋅U C⋅ILSt=√Pt2+Qt2
P=U Z⋅IZ⋅cosϕQ=U Z⋅IZ⋅sen ϕ
Pt=PA+PBPt=|P A−PB|Qt=√3⋅(PA−PB )
η=PuPa
Q3C=Qi−Q f
Q1C=Q3C3
C=Q1CU2⋅ω