November 2016
Intermediate to advanced
600 pages
18h 45m
English
book
Power System Transients, 2nd Edition
by Akihiro Ametani, Naoto Nagaoka, Yoshihiro Baba, Teruo Ohno, Koichi Yamabuki
Content preview from Power System Transients, 2nd Edition
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463Electromagnetic Disturbances in PowerSystems and Customer Homes
m
RRCABRRA
K
n
RA BRRC ARC
2
23221111
2
11 1211 132
=
++
=
++ +
{}
()()
()()(
−
++++
{}
=
+
=
+
AB RA
BA
K
m
RB RRA
K
n
RA BB
22 32
22
3
21 111
3
11 12
1)( )( )
()
()
−
−
−−−RARB RC A
K
KRABRA BRR
2222 11 1
1() ()
( ){( )(
{}
++
=+ ++
11 1322 23
CCA RRCARA B
22 211132 2
++
++
)} ()
()
Considering the characteristic of hyperbolic functions, for example,
B
1
C
2
= C
1
B
2
and A
1
B
2
+ B
1
A
2
= Z
0
sinh θ, these equations can be rewritten in
the form of hyperbolic functions as follows:
KRRRRRRRZ
RZ
=++⋅+⋅
+
()cosh cosh cosh sinh
sinh
12 23 31 1210
12
30
θθ θθ
θθθ
θθ
120
2
12 23
12
20
13
0
⋅+++ ⋅
++
cosh
()
sinh sinh
s
ZRRRR
RZ
RR
Z
iinhθ
where θ
1
= Γ · x
1
, θ
2
= Γ · x
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