User Manual

94
With:
[ ] [ ][ ] [ ][ ] [ ][ ] [ ][ ] [ ][ ] [ ][ ]
∑∑∑
−
=
−
=
−
=
⋅+⋅+⋅=
1
0
1
0
1
0
1
2211003P
NechSec
n
NechSec
n
NechSec
n
nAFnVFnAFnVFnAFnVF
[ ] [ ][ ] [ ][ ] [ ][ ]
∑∑∑
−
=
−
=
−
=
⋅−+⋅−+⋅−=
1
0
1
0
1
0
1
2]
4
][2[1]
4
][1[0]
4
][0[3
NechSec
n
NechSec
n
NechSec
n
nAF
NechPer
nVFnAF
NechPer
nVFnAF
NechPer
nVFQ
Note: The fundamental power factor is also called the displacement factor.
Total tangent
[ ]
[ ]
[ ]
3P
3Q
3Tan
1
1
=
b) Distribution system with virtual neutral
Total power factor.
Total fundamental power factor.
With:
Note: The fundamental power factor is also called the displacement factor.
Total tangent
c) Three-phase system without neutral
Total power factor
[ ]
]3[
]3[
3PF
S
P
=
Total fundamental power factor
[ ]
[ ]
[ ] [ ]
2
1
2
1
1
3Q3P
3P
3DPF
+
=
With :
If reference on L1
[ ] [ ][ ] [ ][ ] [ ][ ] [ ][ ]
∑∑
−
=
−
=
⋅−⋅+⋅⋅=
1
0
1
0
1
10
1
22
1
3P
NechSec
n
NechSec
n
nAnU
NechSec
nAnU
NechSec
If reference on L2
[ ] [ ][ ] [ ][ ] [ ][ ] [ ][ ]
∑∑
−
=
−
=
⋅−⋅+⋅⋅=
1
0
1
0
1
21
1
00
1
3P
NechSec
n
NechSec
n
nAnU
NechSec
nAnU
NechSec
VF AF VF AF VF AF
VF
VF
VF
AF
AF
AF
PF
PF[3]=
P
1
[3]
DPF[3]=
√
Σ
2
i=0
P[3]
S[3]
(
Σ
NechSec-1
n=0
VF[i][n].AF[i][n]
)
P
1
[3]=
. AF[i][n]
4
NechPer
n -
[
]
(P
1
[3]² + Q
1
[3]²)
Σ
2
i=0
(
Σ
NechSec-1
n=0
VF[i]
)
Q
1
[3]=
Tan[3]=
Q
1
[3]
QP
1
[3]