eep konstr.zadatak upute
Post on 10-Apr-2016
245 Views
Preview:
DESCRIPTION
TRANSCRIPT
TEHNIČKO VELEUČILIŠTE U ZAGREBU
ELEKTROTEHNIČKI ODJEL
Upute za izradu konstrukcijskog zadatka iz Elektroenergetskih postrojenja
Pripremio: Mr. sc. Dubravko Žigman
Zagreb 2004/2005.
SADRŽAJ
PRIMJER PROGRAMSKOG ZADATKA IZ EEP POSTROJENJA........................................ 3 1 PRORAČUN ....................................................................................................................... 4
1.1 VODOVA.................................................................................................................... 4 1.2 GENERATORA.......................................................................................................... 4 1.3 TRANSFORMATORA............................................................................................... 5
2 EKVIVALENTNE SHEME ............................................................................................... 5 2.1 DIREKTNI SUSTAV ................................................................................................. 5 2.2 INVERZNI SUSTAV ............................................................................................... 10 2.3 NULTI SUSTAV ...................................................................................................... 15
3 PRORAČUN STRUJA KRATKOG SPOJA .................................................................... 20 3.1 JEDNOPOLNI KRATKI SPOJ ................................................................................ 20 3.2 DVOPOLNI KRATKI SPOJ .................................................................................... 20 3.3 DVOPOLNI KRATKI SPOJ SA ZEMLJOSPOJEM ............................................... 20 3.4 TROPOLNI KRATKI SPOJ ..................................................................................... 21
4 RASPODJELA STRUJA U EKVIVALENTNIM SHEMAMA ZA ZADANO MJESTO KS I MJERODAVNI KS .......................................................................................................... 21 5 STRUJE FAZA R, S i T.................................................................................................... 24
JEDNOPOLNI KS ................................................................................................................ 24 TROPOLNI KS..................................................................................................................... 24 5.1 STRUJE FAZE R...................................................................................................... 24
5.1.1 Struje vodova..................................................................................................... 24 5.1.2 Struje transformator – sabirnica ........................................................................ 25
5.2 STRUJE FAZE S ...................................................................................................... 25 5.2.1 Struje vodova..................................................................................................... 25 5.2.2 Struje transformator – sabirnica ........................................................................ 25
5.3 STRUJE FAZE T ...................................................................................................... 25 5.3.1 Struje vodova..................................................................................................... 25 5.3.2 Struje transformator – sabirnica ........................................................................ 25
6 STRUJE GENERATORA ODNOSNO PRIMARA TRANSFORMATORA.................. 26 6.1 JEDNOPOLNI KS .................................................................................................... 26 6.2 TROPOLNI KS......................................................................................................... 26
6.2.1 Struje generatora G1 .......................................................................................... 26 6.2.2 Struje generatora G2 .......................................................................................... 26 6.2.3 Struje generatora G3 .......................................................................................... 26 6.2.4 Struje generatora G4 .......................................................................................... 26
7 TROPOLNA SHEMA – RASPODJELA STRUJA U MREŽI ZA VRIJEME TROPOLNOG KRATKOG SPOJA ......................................................................................... 27
Literatura: Hrvoje Požar: Visokonaponska Rasklopna Postrojenja, Tehnička
knjiga, Zagreb, 1963.
2
PRIMJER PROGRAMSKOG ZADATKA IZ EEP POSTROJENJA
(PRORAČUN STRUJA KRATKOG SPOJA) ZADATAK: Proračunati struje kratkog spoja na zadanim sabirnicama
i odrediti struje u pojedinim granama za najnepovoljniji slučaj kratkog spoja u mreži prema slici.
Ostali podaci: Za reaktancije vodova uzeti 0,4 Ω/km.
G1
G4
G3
T1
T4
T2
T3
G2
E
B
D
C
A LAD
LDE
LBD
LAC LBC
Element Veličina Jedinica Primjer 0 S MVA 25
G1, G2 U kV 10 X’d % 17 Xi % 4,5 S MVA 70
G3 U kV 10 X’d % 28 Xi % 15 S MVA 35
G4 U kV 10 X’d % 38 Xi % 8 S MVA 25
T1, T2 U1/U2 kV/kV 10/110 Xk % 10 S MVA 70
T3 U1/U2 kV/kV 10/110 Xk % 11 S MVA 35
T4 U1/U2 kV/kV 10/110 Xk % 9 lAD km 60 lAC km 110
Vodovi lBC km 85 lBD km 70 lDE km 70
MJESTO KRATKOG SPOJA D
1 PRORAČUN
1.1 VODOVA
VAD Xd = Xi = l * Xv = 60 km * 0,4 Ω/km = 24 Ω
X0 = 3 Xd = 3 * 24 Ω = 72 Ω
VAC Xd = Xi = l * Xv = 110 km * 0,4 Ω/km = 44 Ω
X0 = 3 Xd = 3 * 44 Ω = 132 Ω
VBC Xd = Xi = l * Xv = 85 km * 0,4 Ω/km = 34 Ω
X0 = 3 Xd = 3 * 34 Ω = 102 Ω
VBD Xd = Xi = l * Xv = 70 km * 0,4 Ω/km = 28 Ω
X0 = 3 Xd = 3 * 28 Ω = 84 Ω
VDE Xd = Xi = l * Xv = 70 km * 0,4 Ω/km = 28 Ω
X0 = 3 Xd = 3 * 28 Ω = 84 Ω
1.2 GENERATORA
G1 Ω=⋅⋅
⋅=⋅= ÷ 28,821025
)10110(10017
100 6
2232
VAV
SUX
X dd
Ω=⋅⋅
⋅=⋅= ÷ 78,211025
)10110(100
5,4100 6
2232
VAV
SUX
X ii
G2 Ω=⋅⋅
⋅=⋅= ÷ 28,821025
)10110(10017
100 6
2232
VAV
SUX
X dd
Ω=⋅⋅
⋅=⋅= ÷ 78,211025
)10110(100
5,4100 6
2232
VAV
SUX
X ii
G3 Ω=⋅⋅
⋅=⋅= ÷ 4,481070
)10110(10028
100 6
2232
VAV
SUX
X dd
Ω=⋅⋅
⋅=⋅= ÷ 92,251070
)10110(10015
100 6
2232
VAV
SUX
X ii
G4 Ω=⋅⋅
⋅=⋅= ÷ 37,1311035
)10110(10038
100 6
2232
VAV
SUX
X dd
Ω=⋅⋅
⋅=⋅= ÷ 65,271035
)10110(100
8100 6
2232
VAV
SUX
X ii
4
1.3 TRANSFORMATORA
T1 Ω=⋅⋅
⋅=⋅=== ÷ 4,481025
)10110(10010
100 6
2232
0 VAV
SUX
XXX kid
T2 Ω=⋅⋅
⋅=⋅=== ÷ 4,481025
)10110(10010
100 6
2232
0 VAV
SUX
XXX kid
T3 Ω=⋅⋅
⋅=⋅=== ÷ 01,191070
)10110(10011
100 6
2232
0 VAV
SUX
XXX kid
T4 Ω=⋅⋅
⋅=⋅=== ÷ 11,311035
)10110(100
9100 6
2232
0 VAV
SUX
XXX kid
2 EKVIVALENTNE SHEME
2.1 DIREKTNI SUSTAV
A B
C
D E
G G G G
XG1
XG2
XG3
XG4 XT4
XT3
XT2
XT1 XAD
XAC
XDE
XDB
XCB
Slika 2.1: Ekvivalentna shema direktnog sustava
A B
C
D E
G G G G
XG1
XG2
XG3
XG4 XT4
XT3
XT2
XT1 XAD
XAC
XDE
XDB
XCB
Slika 2.2 a): Ekvivalentna shema direktnog sustava s reaktancijama
82,28 Ω 48,4 Ω
82,28 Ω 48,4 Ω
48,4 Ω 19,01 Ω
44 Ω 34 Ω
28 Ω 24 Ω
28 Ω
31,11 Ω 131,37 Ω
5
X1 = XG1 + XT1 = 82,28 Ω + 48,4 Ω = 130,68 Ω
X2 = XG2 + XT2 = 82,28 Ω + 48,4 Ω = 130,68 Ω
X3 = XG3 + XT3 = 48,4 Ω + 19,01 Ω = 67,41 Ω
X4 = XG4 + XT4 = 31,11 Ω + 131,37 Ω = 162,48 Ω
A
B
C D
G G G
X4
X3
X2
X1 XAD
XAC
XDB
XCB
Slika 2.2 b)
130,68 Ω
130,68 Ω
67,41 Ω
44 Ω 34 Ω
28 Ω 24 Ω
162,48 Ω
G
Ω=+⋅
=+⋅
= 34,6568,13068,13068,13068,130
21
2112 XX
XXX
A B
C
D
G G
X4
X3
X12
XAD
XAC
XDB
XCB
Slika 2.2 c)
65,34 Ω
67,41 Ω
44 Ω 34 Ω
28 Ω 24 Ω
162,48 Ω
G
XAC3 XCB3
XAB
1
323223
2
313113
3
212112
XXX
XXX
XXX
XXX
XXXXXX
⋅++=
⋅++=
⋅++=
6
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
Ω=⋅+⋅+⋅
=
⋅+⋅+⋅=
⋅++=
19,10041,6734443444
49,15344
41,673441,6734
64,19834
41,67443441,673444
3
33
3
3
33333
3
33333
AB
CBACCBACCBACCBACAB
CB
AC
CBACACCB
AC
CBCBCB
AC
CB
ACCBCBAC
CB
ACACAC
X
XXXXXXX
XXX
XXX
X
XXXXXXX
XXX
XXX
X
XXXXXXX
XXX
XXX
A
B D
G G
X4 X12
XAD
XAB
XDB
Slika 2.2 d)
65,34 Ω
100,19 Ω
198,64 Ω 153,49 Ω
28 Ω 24 Ω
162,48 Ω
G
XAC3 XCB3
Ω=+⋅
=+⋅
= 16,4964,19834,6564,19834,65
312
3121
AC
ACA XX
XXX
Ω=+⋅
=+⋅
= 92,7849,15348,16249,15348,162
34
344
CB
CBB XX
XXX
231312
23133
231312
23122
231312
13121
XXXXX
X
XXXXX
X
XXXXX
X
++⋅
=
++⋅
=
++⋅
=
7
A B
D XAD
XAB
XDB
100,19 Ω
49,16 Ω 78,92 Ω
28 Ω 24 Ω
Slika 2.2 e)
G
X1A X4B
XB XA
XC
P
Ω=++
⋅=
++⋅
=
Ω=++
⋅=
++⋅
=
Ω=++
⋅=
++⋅
=
83,1692,7819,10016,49
92,7816,49
63,3492,7819,10016,49
19,10092,78
57,2192,7819,10016,49
19,10016,49
41
41
41
4
41
1
C
BABA
BAC
B
BABA
ABBB
A
BABA
ABAA
X
XXXXXX
X
XXXXXX
X
XXXXXX
A
B D
XAD XDB
21,57 Ω
16,83 Ω
28 Ω 24 Ω
XA
34,63 Ω
XB
Slika 2.2 f)
G
P
XC
8
XA’ = XAD + XA = 24 Ω + 21,57 Ω = 45,57 Ω
XB’ = XDB + XB = 28 Ω + 34,63 Ω = 62,63 Ω
D
16,83 Ω
62,63 Ω 45,57 Ω
Slika 2.2 g)
G
P
XC
XB'XA
'
Ω=+⋅
=+⋅
= 37,2663,6257,4563,6257,45
''
'''
BA
BAAB XX
XXX
Xd = XAB’ + XC = 26,37 Ω + 16,83 Ω = 43,2 Ω
Zd = j 43,2 Ω
D
16,83 Ω
Slika 2.2 h)
G
P
XC
26,37 Ω XAB' k 43,2 Ω
Slika 2.2 i)
P 3
110V
Xd
G
9
2.2 INVERZNI SUSTAV
A B
C
D E
XG1
XG2
XG3
XG4 XT4
XT3
XT2
XT1 XAD
XAC
XDE
XDB
XCB
Slika 2.3: Ekvivalentna shema inverznog sustava
P
A B
C
D E
X1 = XG1 + XT1 = 21,78 Ω + 48,4 Ω = 70,18 Ω
X2 = XG2 + XT2 = 21,78 Ω + 48,4 Ω = 70,18 Ω
X3 = XG3 + XT3 = 25,92 Ω + 19,01 Ω = 44,93 Ω
X4 = XG4 + XT4 = 27,65 Ω + 31,11 Ω = 58,76 Ω
XG1
XG2
XG3
XG4 XT4
XT3
XT2
XT1 XAD
XAC
XDE
XDB
XCB
Slika 2.3 a): Ekvivalentna shema inverznog sustava s reaktancijama
21,78Ω 48,4 Ω
21,78 Ω 48,4 Ω
25,92 Ω 19,01 Ω
44 Ω 34 Ω
28 Ω 24
28 Ω
31,11 Ω 27,65 Ω
Ω
10
A
B
C D
P
X4
X3
X2
X1 XAD
XAC
XDB
XCB
Slika 2.3 b)
70,18 Ω
70,18 Ω
44,93 Ω
44 Ω 34 Ω
28 Ω 24 Ω
58,76 Ω
Ω=+⋅
=+⋅
= 09,3518,7018,7018,7018,70
21
2112 XX
XXX
A B
C
D
P
X4
X3
X12
XAD
XAC
XDB
XCB
Slika 2.3 c)
35,09 Ω
44,93 Ω
44 Ω 34 Ω
28 Ω 24 Ω
58,76 Ω
XAC3 XCB3
XAB
1
323223
2
313113
3
212112
XXX
XXX
XXX
XXX
XXXXXX
⋅++=
⋅++=
⋅++=
11
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
3,11193,4434443444
68,11344
93,443493,4434
07,14734
93,444493,4444
3
33
3
3
33333
3
33333
AB
CBACCBACCBACCBACAB
CB
AC
CBACACCB
AC
CBCBCB
AC
CB
ACCBCBAC
CB
ACACAC
X
XXXXXXX
XXX
XXX
X
XXXXXXX
XXX
XXX
X
XXXXXXX
XXX
XXX
A
B D
P
X4 X12
XAD
XAB
XDB
Slika 2.3 d)
35,09 Ω
111,3 Ω
147,07 Ω 113,68 Ω
28 Ω 24 Ω
58,76 Ω
XAC3 XCB3
Ω=+⋅
=+⋅
= 33,2807,14709,3507,14709,35
312
3121
AC
ACA XX
XXX
Ω=+⋅
=+⋅
= 73,3868,11376,5868,11376,58
34
344
CB
CBB XX
XXX
231312
23133
231312
23122
231312
13121
XXXXX
X
XXXXX
X
XXXXX
X
++⋅
=
++⋅
=
++⋅
=
12
A B
D XAD
XAB
XDB
111,3Ω
28,33 Ω 38,73 Ω
28 Ω 24 Ω
Slika 2.3 e)
X1A X4B
XB XA
XC
P
Ω=++
⋅=
++⋅
=
Ω=++
⋅=
++⋅
=
Ω=++
⋅=
++⋅
=
15,673,383,1113,28
73,383,28
16,2473,383,1113,28
3,11173,38
67,1773,383,1113,28
73,383,28
41
41
41
4
41
1
C
BABA
BAC
B
BABA
ABBB
A
BABA
ABAA
X
XXXXXX
X
XXXXX
X
X
XXXXX
X
A
B D
XAD XDB
17,67 Ω
6,15Ω
28 Ω 24 Ω
XA
24,16 Ω
XB
Slika 2.3 f)
P
XC
13
XA’ = XAD + XA = 24 Ω + 17,67 Ω = 41,67 Ω
XB’ = XDB + XB = 28 Ω + 24,16 Ω = 52,16 Ω
D
6,15Ω
52,16Ω 41,67Ω
Slika 2.3 g)
P
XC
XB'XA
'
Ω=+⋅
=+⋅
= 16,2316,5267,4116,5267,41
''
'''
BA
BAAB XX
XXX
Xi = XAB’ + XC = Ω + 6,15 Ω = 29,31 Ω 16,23
Zi = j 29,31 Ω
D
6,15 Ω
Slika 2.3 h)
P
XC
23,16 Ω XAB' k 29,31 Ω
Slika 2.3 i)
P
Xi
14
2.3 NULTI SUSTAV
A B
C
D E
∞ XT4
XT3
XT1 XAD
XAC
XDE
XDB
XCB
Slika 2.4: Ekvivalentna shema nultog sustava
P
∞ ∞
∞
∞
A B
C
D E
∞ XT4
XT3
XT1 XAD
XAC
XDE
XDB
XCB
Slika 2.4 a): Ekvivalentna shema nultog sustava s reaktancijama
P
∞ ∞
∞
∞
48,4 Ω 72 Ω
84 Ω
84 Ω
31,11 Ω
102 Ω 132 Ω
19,01 Ω
A B
C
D
P
X4
X3
X1
XAD
XAC
XDB
XCB
48,4 Ω
19,01
15Slika 2.4 b)
Ω
132 Ω 102 Ω
84 Ω 72 Ω
31,11 Ω
XAC3 XCB3
XAB
1
323223
2
313113
3
212112
XXX
XXX
XXX
XXX
XXXXXX
⋅++=
⋅++=
⋅++=
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
Ω=⋅
++=
⋅+⋅+⋅=
⋅++=
25,94201,19102132102132
7,135132
01,1910201,19102
61,175102
01,1913201,19132
3
33
3
3
33333
3
33333
AB
CBACCBACCBACCBACAB
CB
AC
CBACACCB
AC
CBCBCB
AC
CB
ACCBCBAC
CB
ACACAC
X
XXXXXXX
XXX
XXX
X
XXXXXXX
XXX
XXX
X
XXXXXXX
XXX
XXX
A
B D
P
X4 X1
XAD
XAB
XDB
Slika 2.4 c)
48,4Ω
942,25Ω
175,61Ω 135,7Ω
84 Ω 72 Ω
31,11Ω
XAC3 XCB3
Ω=+⋅
=+⋅
= 94,3761,1754,4861,1754,48
31
311
AC
ACA XX
XXX
Ω=+⋅
=+⋅
= 3,257,13511,317,13511,31
34
344
CB
CBB XX
XXX
16
A B
D XAD
XAB
XDB
942,25Ω
37,94Ω 25,3Ω
84 Ω 72 Ω
Slika 2.4 d)
X1A X4B
XB XA
XC
P
231312
23133
231312
23122
231312
13121
XXXXX
X
XXXXX
X
XXXXX
X
++⋅
=
++⋅
=
++⋅
=
Ω=++
⋅=
++⋅
=
Ω=++
⋅=
++⋅
=
=++
⋅=
++
Ω
⋅=
95,03,2525,94294,37
3,2594,37
7,233,2525,94294,37
25,9423,25
53,353,2525,94294,37
25,94294,37
41
41
41
4
41
1
C
BABA
BAC
B
BABA
ABBB
A
BABA
ABAA
X
XXXXXX
X
XXXXX
X
X
XXXXX
X
A
B D
XAD XDB
35,53Ω
0,95Ω
84 Ω 72 Ω
XA
23,7Ω
XB
Slika 2.4 e)
P
XC
17
XA’ = XAD + XA = 72 Ω + 35,53 Ω = 107,53 Ω
XB’ = XDB + XB = 84 Ω + 23,7 Ω = 107,7 Ω
D
0,95Ω
107,7Ω 107,53Ω
Slika 2.4 f)
P
XC
XB'XA
'
Ω=+⋅
=+⋅
= 8,537,10753,1077,10753,107
''
'''
BA
BAAB XX
XXX
X0 = XAB’ + XC = 53,8Ω + 0,95 Ω = 54,75 Ω
Z0 = j 54,75 Ω
D
0,95Ω
Slika 2.4 g)
P
XC
53,8 Ω XAB'
k 54,75Ω
Slika 2.4 h)
P
X0
153,075,5431,29
0
<==XX i ⇒ mjerodavan je tropolni kratki spoj
18
Slika 2.5: Područja omjera α = Zi/Zd i β = Zi/Z0 u kojima se pojavljuju najveće struje za različite vrste kratkog spoja
19
3 PRORAČUN STRUJA KRATKOG SPOJA
3.1 JEDNOPOLNI KRATKI SPOJ
00
0
31
0
497,126,127
52,19075,5431,292,43
31103
3
ZZZEIIII
II
kAjjjjjZZZ
EI
id
dRid
TS
id
dR
&&&
&&&&&
&&
&&&
&&
++====
==
−==++
⋅=
++=
3.2 DVOPOLNI KRATKI SPOJ
( ) ( )0;
517,151,72
11031,292,43
31103
3
00
0
22
=+
=−=
−=−=
−==+
⋅=
+=−=
=+=
IZZ
EII
aaIIaaII
kAjjjjZZ
EII
III
id
did
dTdS
id
dTS
TSR
&&&
&&&
&&&&
&&
&&&
&&&
3.3 DVOPOLNI KRATKI SPOJ SA ZEMLJOSPOJEM
( ) ( )
( ) ( )
( )
000
00
0
00
0
0
00
0
00
0
0
07,2054,1
53,045,111,5236
13,279248,76342,236572,160419,1266
426,24093,87754,31
75,542,4375,5431,2931,292,4375,54231,29331,293
32110233
21
07,2054,1
53,045,111,5236
13,279248,76342,236572,160419,1266
426,24093,87754,31
75,542,4375,5431,2931,292,4375,54231,29331,293
32110233
21
0
ZZZZZZZE
IZZZZZZ
ZEI
ZZZZZZZZE
I
IIII
kAI
jjjI
jjjjjjjjjj
ZZZZZZZZjZ
EI
kAI
jjjI
jjjjjjjjjj
ZZZZZZZZjZ
EI
I
diid
id
diid
di
diid
idd
idR
T
T
diid
iidT
S
S
diid
iidS
R
&&&&&&
&&&
&&&&&&
&&&
&&&&&&
&&&&
&&&&
&
&
&&&&&&
&&&&&
&
&
&&&&&&
&&&&&
&
o
o
⋅+⋅+⋅⋅
−=⋅+⋅+⋅
⋅−=
⋅+⋅+⋅+⋅
=
=++=
∠=
=+=−
−−=
−−−+
⋅−=
=⋅+⋅+⋅
⋅+−⋅⋅
⋅−
=⋅+⋅+⋅
⋅+−⋅⋅−=
−∠=
=+−=−
−=
−−−−
⋅−=
=⋅+⋅+⋅
⋅++⋅⋅
⋅−
=⋅+⋅+⋅
⋅++⋅⋅−=
=
20
3.4 TROPOLNI KRATKI SPOJ
( ) 0310
03047,112019047,1
15047,124019047,1
9047,147,12,43
3110
0
2
=++====
=++
∠=∠⋅−∠=⋅=
∠=∠⋅−∠=⋅=
−∠=−===
TSRid
dRd
TSR
RT
RS
d
dR
IIIIIZE
II
IIIkAaII
kAaII
kAjjZ
EI
&&&&&&
&&&
&&&
&&
&&
&
&&
ooo
ooo
o
4 RASPODJELA STRUJA U EKVIVALENTNIM SHEMAMA ZA ZADANO MJESTO KS I MJERODAVNI KS
Mjesto kratkog spoja(KS) je sabirnica D, a mjerodavni KS je tropolni kratki spoj.
D
j16,83 Ω
Slika 4.2
G
P
j26,37 Ω İd = -j1,47kA
İd = -j1,47kA
k
Slika 4.1 P
3110
V
Żd
G İd = -j1,47kA
j43,2Ω
Za tropolni KS vrijedi:
( ) 0310
47,1
0
3047,112019047,1
15047,124019047,1
9047,147,12,43
3110
0
2
=++==
−===
=++
∠=∠⋅−∠=⋅=
∠=∠⋅−∠=⋅=
−∠=−===
TSRi
d
dRd
TSR
RT
RS
d
dR
IIIII
kAjZEII
III
kAaII
kAaII
kAjjZ
EI
&&&&&
&
&&&
&&&
&&
&&
&
&&
ooo
ooo
o
21
kAjj
kVZ
UI
kAjj
kVZ
UI
kVjjZIUili
kAjjjIII
kAjjj
jII
strujedvijedrugesedobijudjelilomstrujnimSakAjI
B
AD
A
AD
ADAD
62,063,62
76,38
85,057,45
76,3876,3837,2647,1
62,085,047,1
85,063,6257,45
63,62:
47,1
'3
'2
1
213
12
1
−=Ω
==
−=Ω
==
=⋅−=⋅=
−=+−=−=
−=+
⋅=
−=
&
&
&&
&&&
&&
&
D
j16,83 Ω
j62,63 Ω j45,57 Ω
Slika 4.2 a)
G
P
İ1
İ2 İ3
( )
( )
( ) ( )
kAjj
kVZUI
kAjj
kVZUI
kAjj
kVZUI
kVUjjjjU
ZIZIUkVU
jjjjUZIZIU
kVUjjjjU
ZIZIU
AB
AB
B
B
A
A
AB
AB
BAAB
B
B
BCB
A
A
ACA
031,019,100
136,3
586,092,78
21,46
876,016,49
075,43
136,347,2133,1863,3462,057,2147,1
21,4647,2174,2463,3462,083,1647,1
075,4333,1874,2457,2185,083,1647,1
4
4
46
1
15
32
4
4
314
1
1
211
−=Ω
==
−=Ω
==
−=Ω
==
=+−=⋅−+⋅−−=
⋅+⋅−=
=+=⋅−+⋅−=
⋅+⋅=
=+=⋅−+⋅−=
⋅+⋅=
&&
&&
&&
&&&&
&&&&
&&&&
kAjjjIII
kAjjjIII
kAjjjIII
rezultatadobivenihovjera
85,003,088,0
62,059,003,0
47,159,088,0
:Pr
245
364
165
−=+−=−
−=−−=+
−=−−=+
&&&
&&&
&&&
A
İ1
D ŻAD
ŻAB
ŻDB
j100,19 Ω
j49,16 Ω j78,92 Ω
j28 Ω j24 Ω
Slika 4.2 b)
G
Ż1A Ż4B
ŻB ŻA
ŻC
P
j21,57Ω j34,63Ω
j16,83 Ω
İ2 İ3
İ4
İ5 İ6
B
1
A D ŻAD
ŻAB
ŻDB
j100,19 Ω
j49,16 Ω j78,92 Ω
j28 Ω j24 Ω
Slika 4.2 c)
G
Ż1A Ż4B
P
İ4
İ5 İ6
B
1
İ2 İ3
İ1
22
A B
D
G G
Ż4 Ż12
ŻAD
ŻAB
ŻDB
Slika 4.2 d)
j65,34 Ω
j100,19 Ω
j198,64 Ω j153,49 Ω
j28 Ω j24 Ω
j162,48 Ω
G
ŻAC3 ŻCB3
İ2
İ61
İ62
İ51
İ52
İ3
İ4
( )
( ) kAjkAjkAjIIjj
jII
kAjkAjjj
jII
kAjkAjkAjIIjj
jII
kAjkAjjj
jII
659,0217,0876,064,19834,65
64,198
217,0247,0876,064,19834,65
34,65
285,0301,0586,048,16249,153
49,153
301,0514,0586,048,16249,153
48,162
515552
551
616662
661
−=−−−=−=+
⋅=
−=⋅−=+
⋅=
−=−−−=−=+
⋅=
−=⋅−=+
⋅=
&&&&
&&
&&&&
&&
A B
C
D
G G
Ż4
ŻAD
ŻAC
ŻDB
ŻCB
Slika 4.2 e)
Ż1
j130,68 Ω
j44 Ω j34 Ω
j28 Ω j24 Ω
j162,48 Ω
ŻAC3 ŻCB3
ŻAB
( )( )( )
kAjkAjIII
kAjkAjII
kAjkAjkAjIII
kAjkAjkAjIII
kAjkAjkAjIII
GG
G
C
B
A
329,02659,0
2
329,02659,0
2
332,0301,0217,0
332,0031,0301,0
186,0031,0217,0
5212
521
6151
461
451
−=−
===
−=−
==
−=−+−=+=
−=−+−=+=
−=−−−=−=
&&&
&&
&&&
&&&
&&&
İ61İ51
İA
j67,41 ΩŻ3
G
İB
İC
İ4 Ż2
j130,68 Ω
İG1 İG2
İ62
İ3 İ2 İ1
G
23
A B
C
D E
Slika 4.3: Jednopolna shema sustava
P
İ1 = -j1,47 kA
İ3 = -j0,62 kA İ2 = -j0,85 kA
İA = -j0,19 kA İB = -j0,33 kA
İ62 = -j0,29 kA
İC = -j0,52 kA
İG2 = -j0,33 kA
İG1 = -j0,33 kA
Provjera rezultata:
kAjkAjkAjIII
kAjkAjkAjkAjkAjIIIII CGG
47,162,085,0
47,129,052,033,033,0
321
62211
−=−−=+=
−=−−−−=+++=&&&
&&&&&
5 STRUJE FAZA R, S i T
JEDNOPOLNI KS
0
3
==
⋅=
TS
dR
II
II&&
&&
TROPOLNI KS
aII
aII
II
RT
RS
dR
⋅=
⋅=
=
&&
&&
&&
2
5.1 STRUJE FAZE R
5.1.1 Struje vodova
kAkAjIIkAkAjII
kAkAjII
kAkAjII
DB
DA
BCB
ACA
o
o
o
o
&&
&&
&&
&&
9062,062,09085,085,0
9033,033,0
9019,019,0
3
2
−∠=−==
−∠=−==
−∠=−==
−∠=−==
−
−
−
−
24
5.1.2 Struje transformator – sabirnica
kAkAjII
kAkAjII
kAkAjII
kAkAjII
BT
CCT
GAT
GAT
o
o
o
o
&&
&&
&&
&&
9029,029,0
9052,052,0
9033,033,0
9033,033,0
624
3
22
11
−∠=−==
−∠=−==
−∠=−==
−∠=−==
−
−
−
−
5.2 STRUJE FAZE S
5.2.1 Struje vodova
kAkAIaI
kAkAIaI
kAkAIaI
kAkAIaI
RDB
RDA
RCB
RCA
ooo
ooo
ooo
ooo
&&
&&
&&
&&
15062,09062,02401
15085,09085,02401
15033,09033,02401
15019,09019,02401
2
2
2
2
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
−
−
−
−
5.2.2 Struje transformator – sabirnica
kAkAIaI
kAkAIaIkAkAIaI
kAkAIaI
RBT
RCT
RAT
RAT
ooo
ooo
ooo
ooo
&&
&&
&&
&&
15029,09029,02401
15052,09052,0240115033,09033,02401
15033,09033,02401
24
23
22
21
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
−
−
−
−
5.3 STRUJE FAZE T
5.3.1 Struje vodova
kAkAIaI
kAkAIaI
kAkAIaI
kAkAIaI
RDB
RDA
RCB
RCA
ooo
ooo
ooo
ooo
&&
&&
&&
&&
3062,09062,01201
3085,09085,01201
3033,09033,01201
3019,09019,01201
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
−
−
−
−
5.3.2 Struje transformator – sabirnica
kAkAIaI
kAkAIaIkAkAIaI
kAkAIaI
RBT
RCT
RAT
RAT
ooo
ooo
ooo
ooo
&&
&&
&&
&&
3029,09029,01201
3052,09052,012013033,09033,01201
3033,09033,01201
4
3
2
1
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
∠=−∠⋅∠=⋅=
−
−
−
−
25
26
6 STRUJE GENERATORA ODNOSNO PRIMARA TRANSFORMATORA
6.1 JEDNOPOLNI KS
0315,0886,0
''''
''
==
⋅=+−=
TS
RdddR
II
IIIjII
&&
&&&&&
dT
ddS
RdddR
IjI
IjII
IIIjII
&&
&&&
&&&&&
−=
+=
=+−=
''
''
''
5,0886,0
5,0886,0
( )
6.2 TROPOLNI KS
6.2.1 Struje generatora G1 ( )
( ) ( )( ) kAjjI
kAjjjjjI
kAjjjjjI
GT
GS
GR
33,033,0
286,0165,0165,0286,033,05,033,0886,0
286,0165,0165,0286,033,05,033,0886,0
''1
''1
''1
−=−−=
−=+−=−⋅+−⋅=
+=+=−⋅+−⋅−=
−
−
−
&
&
&
( )
6.2.2 Struje generatora G2 ( )
( )( )( ) kAjjI
jjjjjI
jjjjjI
GT
GS
GR
33,033,0
0286,033,05,033,0886,0
286,0286,033,05,033,0886,0
''2
''2
''2
−=−−=
−+−=−⋅+−⋅=
++=−⋅+−⋅−=
−
−
−
&
&
&
)
kA
kA
286,165,0165,0
165,0165,0
=
=
6.2.3 Struje generatora G3 ( ( )
( )kAjj
kAjjjjj
kAjjjjj
52,052,0
45,026,026,045,052,05,052,0886
45,026,026,045,052,05,052,0886,0
−=−
−=+−=−⋅+−⋅
+=+=−⋅+−⋅
( )
( )( )I
I
I
GT
GS
GR
,0''
3
''3
''3
−=
=
−=
−
−
−
&
&
&
6.2.4 Struje generatora G4 ( )
( ) ( )( ) kAjjI
kAjjjjjI
kAjjjjjI
GT
GS
GR
29,029,0
25,0145,0145,025,029,05,029,0886,0
25,0145,0145,025,029,05,029,0886,0
''4
''4
''4
−=−−=
−=+−=−⋅+−⋅=
+=+=−⋅+−⋅−=
−
−
−
&
&
&
Red.br. KS Zd(Ω) Zi(Ω) Z0(Ω) Zi /Z0 - vrsta
KS Id (kA) 1pKS
(IR-kA) 2pKS
(IS-kA) 2pzKS (IS-kA)
3pKS (IR-kA)
0 D j 43,2 j 29,31 j 54,75 0,53 - 3pks -j 1,47 -j 1,497 -j 1,517 1,45+j0,53 -j 1,47
Za struje sabirnica mora vrijediti I K.Z.:
01
=∑=
n
iiI&
7 TROPOLNA SHEMA – RASPODJELA STRUJA U MREŽI ZA VRIJEME TROPOLNOG KRATKOG SPOJA
0,165+j0,286 0,165-j0,286
0,165+j0,286 0,165-j0,286
0,145+j0,25
0,26+j0,45 0,26-j0,45
-j0,33 -j0,85 -j0,62
0,145+j0,25
-j0,33 -j0,19 -j0,33
-j0,52
A B
C
D
-0,33
-0,52
0,145-j0,25 -0,29
-0,33
-1,03 +j1,05 -j1,47 0,23 +j1,45
-0,23+j0,24
-0,23+j0,24
0,03+j0,19
0,03+j0,19
-0,36+j0,37
0,05+j0,33
0,08+j0,51
-0,23+j0,24
-0,2+j0,21 0,04+j0,29
-0,59+j0,61
0,13+j0,84
-0,43+j0,44
0,10+j0,61
-0,13+j0,14 0,03+j0,19
Slika 7.1: Tropolna shema struja u mreži za vrijeme tropolnog KS
27
top related