CHƯƠNG 3: VẬN HÀNH MÁY BIẾN ÁP.GIAI BAI TAP
Bài số 3-1. !"#$"$%&'($%&! "
'()ϕ*+,' -
*.+Ω! /
*+.0Ω+1 "!23$"+4356
$56! 7$%8956$56:3;89$"<;89$$=$";8>9:32
?@' "!2A! )ϕ*+B!5C?5D+
13$"56$56E
FG$=$"E
= =
F56$56:3E
H
/ +.0
/ +I
= = = Ω
H
- .+
- +0
= = = Ω
)
H H
T L R J +0 0+I +0 0+0 I+N .+IN = + = + ∠ − × ∠ = ∠
& & &
S$=$"E
H
T L I+N
L +0. 0+.U
L
− −
∆ = = = =
Bài số 3-2. 1000+0.N "!23$"V$"?#! $"56$56:)
/
*+.INΩ! -
*+NΩ+W<X !"#$"$%&<$%&! "'() ϕ*+I
!5C?5D+4356$56! :89$"<;89$$=$";89=?#! )
V<
FG$=$"E
.N
.+B00
= =
F56$56:3E
30
Z’
t
= a
2
Z
n1
H
/ +.IN
/ +.B0
.+B00
= = = Ω
H
- +N
- +
.+B0
= = = Ω
)
H
J +.B0 K+ +I B+I= + = ∠ Ω
F=?#<E
0
>
L
M .B+IB
O 000 .
= = = Ω
T L 0B+
L + +U
L
− −
∆ = = = − = −
F=?#! )E
)
!
J J J +.IN K+N I+0B. K.N+0 I+I.ZK.0+B0*.+B Z.+
′
= + = + + − = ∠ Ω
Bài số 3-3. .N !"#$"$%&'($%&! "
'()ϕ*+I!5C?5D -
*+NΩ! /
*+.INΩ+1 "!23$"+4356
$56! 7$%8956$56:3;89$"<;89$$=$";8>9=?#! )
+
FG$=$"E
.N
.+B00
= =
F56$56:3E
H
/ +.IN
/ +.B0
= = × ∠− = ∠ − = − Ω
PQ$"<E
)
)
L
R .+.B .+.I
J 0+ .+.I
= = = ∠
∠ −
&
&
31
S"<E
) ) )
H H
T L R J .+.B .+.I +I B+I 0I+ +0 = + = + ∠ × ∠ = ∠
& & &
S$=$"E
H
T L 0I+
L + +U
L
− −
∆ = = = − = −
F=?#! )E
0
L
M +N
O .
= = = Ω
×
PQ$"<<V)ϕ*.E
L
R .+.B
J +N
= = =
&
&
S"<E
) )
H H
T L R J .+.B + B. +IN +IIN = + = + × ∠ = ∠
& & &
F=?#<<V)ϕ*+BE
)
J +N 0+B 80+I K+9= ∠ = + Ω
PQ$"<E
)
FG$=$"E
H
L NI
0
L 0
= = =
F=?#56$56\'$=!])E
/ / 0 + +.N= = × = Ω
32
- - 0 +BN B+= = × = Ω
)
J +.N KB+ .+0BNB B+NN= + = ∠ Ω
F=?#<E
0
>
L 0
M .+
O 0B+ .
= = = Ω
×
)
− −
∆ = = = =
F=?#^Va=?#! )<E
)
bc 1
1
bc 1
/ K- .BN K0N.B
J . K.N 0 BN
/ K- .BN K0N.B
× ×
= = = + = ∠ Ω
+ +
F=?#! )V<E
)
! Y
J J J +.N KB+ N0+. KI0+N 80+N K.I+9 .0.+0 +.
′
= + = + + + = + = ∠ Ω
PQ$"<E
)
1
L NI
R +.N0
J 0
= = =
Bài số 3-6. 1BN "!23$"#$"$%&! "'() ϕ*+0
!5C?5D+S"?< N+F:=?#56$56\'$=!])8d\'$"?#9+
H
H
R - B.+
- +
R 00+0
= = = Ω
FG$=$"E
33
L
&
H
KR -
&
T
&
R
&
H
L B
.
L N
= = =
S"56$56\'$=!])E
H
L
= = =
O!Q>[3E
.
g N
g .!
+
= = =
F^?)_iE
7
T +BN
+.
+ l g + N .
Φ = = =
× × × ×
m
F>"_iE
7
+.
O +0NN
j .+
Φ
= = =
Bài số 3-8. 1.0 !"#<$%&V"'()ϕ*+I,'+S"?#
?)"$6!%56$ /
∗
S"?#?)"$6!%56$ /
∗
*+.N! $"-
∗
*+0.N+F:$$=$"+
34
F<V)ϕ*+B,'@ϕ*+NN.
S$=$"?)"$6!%56$"<a
E
Y
L 8 / ) 9 8 - 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
8+ +.N +B9 8+ +0.N +NN.9 . +N. +N.U= × + + × + − = =
Bài số 3-10.1. !"#$".'($%&! "'()ϕ*+
,'+S"?#h?A /U*.! $"h?A -U*++F:89$"<;89$$=$"
;89$"! )a)@'$"?$%&! )ϕ*+,'+
F<V)ϕ*+,'@ϕ*+N
S$=$"E
L 8/ ) 9 8- 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
.+I
0
= =
S"! )E
.
L T .+I 0B+ N+NB= = × =
Bài số 3-12.1 !"#$"'($%&! "'() ϕ*+
!5C?5D+S"?#h?A /U*.+.! $"h?A -U*+N+F:89$"<;89$$=
$";89$"! )a)@'$"?$%&! )ϕ*+!5C?5D+
F<V)ϕ*+,'@ϕ*+N
S$=$"E
L 8/ ) 9 8- 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
8+ +9 8+N +N9 . +0. 0+.U= + + + − = =
S"?<E
>
T 8. L9L 8. +0.9 += + ∆ = + × =
FG$=$"E
35
= =
S"! )E
F=)>)>Q$"7)3l*HME
7 . .
7
t l j
t l j
=
÷ ÷
7 7
. .
l j
t t 0B0 0+.0
l j
= = =
÷
÷ ÷
m
F=)>)^?r3l*HME
.+N
. .
'
'
t .0+N
R R R .+0R
t
= = =
P)^$=@$"$5! ) E
L L +IL +I B N
= × = = × =
'($%&DE
> > >
O +I .+0O +IBO +IB . .0I+= × = = × =
Bài số 3-15.1B.NHMV/U*.+B! -U*0+I+H"''( !"#<$%
&V)ϕ*+B!5C?5Dh$%&! $"$%& IB+.U+F:89=)'(?)_i;89
36
=)'(?)_i! "''($]'" !"$=5l*HMG=)^?r=
)>)>Q$"7)t
t
7
*+
FG$=$"E
H
L
>
L
/ / +.B +B
O B .
∗
= = = Ω
×
PQ$"$%&:)E
0
>
O B .
R .NN+NB
L
×
= = =
F=)$e?)E
'
t R / .NN+NB +B .0.+= = × =
m
F=)=_iE
) '
t t t .NB+B .0.+ 0= ∆ − = − =
m
F=)>)^?r! >Q$"7)E
7
7
7 7N
. .
l j
t t I+B .+ I+B
l j N
= = × × =
÷
÷ ÷
m
F=)>)^?r3l*HME
.+N
N . .
t l j
t l j
=
÷
.+N
.+N
N
. .
37
56$ +B+F:89"''(;89$$=$";89"''(! $$=$"#0U<$%&!
)ϕ*+,'+
F=)'(?)_iE
0
) >
t +NO +N . = = × × =
m
S"?#E
0
>
L B
/ / +.00 0+B
O .
∗
= = = Ω
×
PQ$"$%&:)E
0
>
O .
R B+B
L B
×
= = =
'
t R / +0 B+B 0+B 0I+0B= = × × =
m
t
*O
$
)ϕ*×+×+0*m
t
+IB IB+U
t t 0I+0B
η = = = =
+ ∆ + +
Y
L 8 / ) 9 8 - 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
8+0 +.00 +9 8+0 +B +N9 . +.00 .+00U= × + + × + − = =
Bài số 3-17.100HM !"!D<V)ϕ*+,'! >'5C$=^
$.U$%&+F=)h?A?)_i +$"?#h?A .+N! $"h?A 0+.N+
F:! !4$5v)"''(^<$.U<$%&oh$=+
1 !"!D)ϕ*+@ϕ*+N+F=)?)i$=! VE
0
) >
38
> Y
t O ) + = ϕ = × × =
m
H"''(E
Y
t
t t . .N+
η = =
+ ∆ + +
"1$p!4E
clc
kt = 0:0.04:1.2;
n = 40000*kt./(40000*kt+2100+1622.4*kt.^2);
plot(kt, n)
0 0.2 0.4 0.6 0.8 1 1.2 1.4
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Bài số 3-18.F:"`3w@?@.N0HM)\'<E
/ .+BN
/ +.
M ..+NB
∗
= = =
F=?#`3E
L .
M +
R 0+
= = = Ω
S"`3E
39
- M / + .+BN +IN= − = − = Ω
- +IN
- +0B0
M ..+NB
∗
= = =
S$=$"E
F=?#6#E
>
0
>
L
M +
O .
= = = Ω
×
S"?#`3E
t B
/ .+B0
R +
= = = Ω
/ .+B0
/ +..
M +
∗
= = =
F=?#`3E
PQ$"^VE
)
bc
)
t
R +B
L N
= = =
1 ) bc
R R R 0+0 +B 0+.= − = − =
S"o<E
)
1H
1
L N
- .+.
R 0+.
= = = Ω
40
1 1
- - .N .+. IN= = × = Ω
D<V)ϕ*+Ifϕ*+0I.I@$$=$"E
L 8/ ) 9 8- 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
6(:3#3+
FG$=$"E
H
L NI
0
L 0
= = =
F=?#6#E
>
0
>
L NI
M .I+
O .
= = = Ω
×
S"?#`3E
t N
/ 0+
R 0+N
= = = Ω
)H
L 0
/ 0+N
t N
= = = Ω
bc bcH
/ / I 0+N .0 += = × = Ω
bc
bc
/ .0 +
/ IN+.
M .I+
∗
= = =
PQ$"^VE
)
bc
)
t N
R .+.0
L 0
= = =
41
1 ) bc
R R R + .+.0 += − = − =
S"o<E
)
*+N E
Y
L 8 / ) 9 8 - 9 .
∗ ∗ ∗
∆ = + ϕ + − ϕ −
8+N +. +9 8+N +B +N9 . +0B +0BU= × + + × − − = − = −
S":3<E
>
T 8. L9L 8. +0B9 0 += + ∆ = − × =
S":)<E
.
T T 0 + NB0N+B= = × =
Bài số 3-21.F:"`3! <w"?@.N0HM)\'<E
L
*.B+0R
*+t
*.NmL
)
*0R
)
*.t
)
= = =
1 ) bc
R R R . +N. .0+II= − = − =
S"o<E
)
1H
1
L 0
- .N+0
R .0+II
= = = Ω
1 1H
- - 0+N. NB+N= = × = Ω
F=?#6#E
42
>
0
>
L N
M +N
O . .
= = = Ω
×
S"?#`3E
- +0
M +N
∗
= = =
'(>2<E
>
t O ) . +I I= ϕ = × =
m
H"''(E
)
t I
+IBB I+BBU
t t t I N .N
η = = = =
+ + + +
D<V)ϕ*+Ifϕ*+N@$$=$"
*+ E
Y
L 8 / ) 9 8 - 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
8+ +.. +I9 8+ +0 +N9 . +0 +0U= × + + × + − = =
S":3<E
>
R 0+I
L .
×
= = =
F=?#56$56o\'$=!]:3E
>
H
L
/ / +.0N +.
R
∗
= = = Ω
43
>
H
L
- - +0 +N
R
∗
= = = Ω
>j
j j
jH
L .
/ / +. +0
R 0+I
∗
= = = Ω
Ow'G$=$"E
.
L
+
= =
j
L L .
LU .U +NIU
L
− −
∆ = = =
Bài số 3-23.HVE
E /
H
*+NΩ-
H
*+.IΩ
jE B/
H
*+NIΩ-
H
*+.N0Ω
!"))!D$"6(+F:>Q$"[a+
PQ$"[aE
) )
)
j
N+I = ∠
FG$=$"jE
.
j
L
+
L N+I
= = =
Bài số 3-25.H. !"))$p'()<Vt*.m)ϕ*+,
'+HVsG$=$"! =?#56$56:) 8+NIuK+09 Ω! 8+0uK0+.9Ω+-
$%>Q$")o'$"6( B+
0
t . .
O .B
) +
×
= = =
ϕ
FG$=$"E
.
L
* .
L
= =
S"&(E
44
.
×
= =
+ + + +
)
+ K.+0NIB .+0B B+.= + = ∠ Ω
PQ$"$5! ):)E
)
) )
L B
R B0+. 0+0
J J 0+ 0N+B .+0B B+.
= = = ∠ −
′
+ ∠ + ∠
&
&
PQ$")E
) )
)
R J B0+. 0+0 .+0B B+.
R .+I 0N+0
J +NI K+0
∠ − × ∠
= + = ∠
)
j
J +.N K+. +0 B0+.
∗
= + = ∠
F=>xE
)
)
. .
y B+ K+N0B +B B0+
J +0I B0+
∗
∗
= = = − = ∠ −
∠
)
j
)
j
. .
y +BB K.I+0N .I+I B0+.
J +0 B0+.
∗
∗
= = = − = ∠−
∠
F=>x) 3E
∠ −
= = ∠ − = ∠ −
∠ −
& &
45
) ) )
Y j
R R R .N+NB 0+I .+ 0+B. 0+ +.0 = − = ∠ − − ∠ − = ∠ −
& & &
Bài số 3-27.HBB !"))+F=?#?)"$6!%56$ J
∗
*
8+..uK+.9! J
j∗
*8+.uK+09+PQ$"&(oa)@'h?A>Q$"<
={
F=?#E
)
J +.. K+. +N BB+N.
∗
= + = ∠
)
j
J +. K+0 +0 N+
∗
= + = ∠
F=>xE
)
y
.B+BN
R .U .U 0+B0U
y +0
∗
∗
= × = × =
j
R .U 0+B0U N+BU= − =
Bài số 3-28.j.VE
E /U*.+0;-U*0+N
jE /U*.+;-U*+
E /U*.+0;-U*+0.
!"))$p'()<)ϕ*.+F:>Q$"?)o+
F=?#E
)
J +.0 K+0N +0 B+N
∗
= + = ∠
)
j
J +. K+ + B0+0BI
∗
= + = ∠
)
J +.0 K+0. + BN+I
∗
= + = ∠
∗
∗
= = = − = ∠ −
∠
j
y y y y +BB. +NIBK N+. +K +. .B+B0K
∗ ∗ ∗ ∗
= + + = − + − + −
)
.I+B+0 N+.K N+.B B0+.= − = ∠ −
PQ$"<?)E
y
+IIB
R .U .U 0+.BU
y N+.B
∗
∗
= × = × =
j
j
y
0+0N0
R .U .U 0U
y +0
∗
∗
= × = × =
∗
∗
= = =
j
j
. .
.N+B
+N
∗
∗
= = =
. .
0+I
M +
∗
∗
= = =
j
.B+BNN .N+B 0+I +BI
∗ ∗ ∗ ∗
= + + = + + =
PQ$"<?)E
.B+BNN
R .U .U 0.+BU
∗
= = = Ω
×
.
j j
0
>j
L
J M + K.+IN
O B .
∗
= = = Ω
×
F=>xE
. .
y K+IO
J K+NN
= = = −
j
j
. .
y K+0O
J K.+IN
= = = −
j
y y y K+I K+0 K+BBIO= + = − − = −
PQ$"<= E
PQ$"<?)E
Y
+I
R R R +0.IR .N+N.
+BBI
∗
∗
= = = =
j
j Y
+0
R R R +N.R 0+N
+BBI
∗
∗
= = = =
g5!,j%\'<
Bài số 3-31...NB! VEJ
U*0+NUJ
j
U*+U! J
U*+U !"))+HVp'()<)ϕ*+,'
)%\'<8d\'$"?#9+
P)<= O
. .
y K.+.O
J K+IBI
= = = −
j
y y y K+B. K.+. K.+BO= + = − − = −
PQ$"<= E
0
.
O .
R .NN+NNNB
L
×
= = =
PQ$"$%&E
0
j>
j>
j>
O .NB .
R NI+00
L
×
= = =
0
48
! ^'|$5C∆y;89G$=$"=! ^'
|$5Cyy+
FG$=$"=$5C: Gn$">[)!
$">[3E
>
.
>H
L
+0000
L
= = =
FG$=$"o Gn$"+P))∆@$" +t:3
y@VE
l
lH
L 0
I+0BN
L
×
= = =
qyyVE
>
.
>H
L
+0000
L
= = =
0
L 0
M M +0. +
O 0 .
∗
×
= = = Ω
× ×
PQ$"[a3?)E
)
j
j
T T
. .
R .
M M + +BN +..
−
×
= = = =
+ +
& &
Bài số 3-34.10NN8y9NN8∆9$5C))!D0
NNyy+F=?#?@yy +∠B+00
)
Ω! ∆y +∠N+
)
Ω
:c)$35C6#|+F:>Q$"[a+
j
T T N N 0
R .BN+ 0+BB
J J 8+0 K+.009 8+.N0 K+.09
− ∠ − ∠ −
= = = ∠
+ + + +
& &
&
Bài số 3.35. 11j0V=>[yyN0NV>Q$"<
)
U*.+U;$"`3'
U
*+U;=)<t
)
* m;=)`3t
*Nm+
+ Ff>Q$"$%&>Q<"'()ϕ
)
+
49
+ F:3$":71j
+ -$%"<$p"''(w$3+
>+ F:$"&(|<! "''("<a+! )ϕ
*+8/Z~9+
PQ$"$%&E
ϕ = = =
× ×
F3$"E
N
L + .+N
0
= =
.>
t N
/ +BI
0R 0 N+N
= = = Ω
×
.>l
.>l
R N+N 0
/ / +BI +IN
L N
∗
×
= = × =
.>
L .+N
/
0 0.0+B
= = =
×
1 ) bc
R R R +B + B +.= − = − =
.>
1
1
L N
- N+
R
0 +.
= = = Ω
×
H"<56&!D'(w$3E
)
7
t
+0N0
t N
= = =
S$=$"
*+)ϕ*+ϕ*+N E
Y
L 8 / ) 9 8 - 9 .
*Im;=)`3t
*Nm+
+ Ff>Q$"$%&>Q<"'()ϕ
)
+
+ F:3$":71j
+ -$%"<$p"''(w$3+
>+ F:$"6(8^3$"['9! "''( !"!DBU<$"?@<|
a0! "'('<<)ϕ
*+8</Z~9+
PQ$"$%&E
0
>
.>
>
O .
R N+I0
0L 0 0
×
= = =
×
0
>
>
>
O .
R BB+00
0L 0
.>l
.>l
R N+I0 0
/ / 0+.B +
L 0
∗
×
= = × =
.>
L ..+
M .0+.
R N+I0
= = = Ω
- M / .+. 0+.B .I+.I= − = − = Ω
.>l
.>l
R N+I0 0
- - +. +B
L 0
∗
×
= = × =
. .>l
H"<56&!D'(w$3E
)
7
t
+0N0
t N
= = =
S$=$"
*+B)ϕ*+ϕ*+N E
Y
L 8 / ) 9 8 - 9 .
∗ ∗ ∗
∆ = + ϕ + + ϕ −
8+B + +9 8+B +B +N9 . +B. +B.U= × + + × + − = =
T 8. L 9L 8. +B.90 0I+0.I
∗
= + ∆ = + =
.>
.
>
L 0
L L 0I+0.I 0.+
L
0
U*++-$%89! !43$"$6<1j+t:)
$5C!D'e:$"?'fV<0! )ϕ
*+;>[\'($"(V<N! )ϕ
0
*
++F:89∆'
.
U! '
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