User Manual

90
Positive -sequence harmonics
[ ][ ]
[ ][ ]
∑
∑
=
=
+
+
=
2
0
7
0
1
43
3
1
Aharm
i
j
iAharm
jiAharm
Three-phase systems with neutral
[ ][ ]
[ ][ ]
∑
∑
=
=
+
+
=
2
0
7
0
1
43
3
1
Vharm
i
j
iVharm
jiVharm
Three-phase systems without neutral
[ ][ ]
[ ][ ]
∑
∑
=
=
+
+
=
2
0
7
0
1
43
3
1
Uharm
i
j
iUharm
jiUharm
16.1.4. POWER
Powers without neutral – over one second
16.1.4.1. Distribution system with neutral
Active power of phase (i+1) with i ∈ [0; 2].
[ ] [ ] [ ][ ] [ ][
]
∑
−
=
⋅⋅==
1
0
1
WP
NechSec
n
niAniV
NechSec
ii
Apparent power of phase (i+1) with i ∈ [0; 2].
S[i] = VA[i] = Vrms[i]. Armsi]
Reactive power of phase (i+1) with i ∈ [0; 2] (Non-active quantities broken down).
[ ] [ ] [ ][ ]
∑
−
=
⋅−⋅==
1
0
1
]
4
][[
1
VARFQ
NechSec
n
niAF
NechPer
niVF
NechSec
ii
Distortion power of the phase (i+1) with i ∈ [0; 2] (Non-active quantities broken down).
[ ] [ ] [ ] [ ]
2
1
2
2
QPS[i]iADViD ii −−==
Non-active power of phase (i+1) with i ∈ [0;2] (Non-active quantities broken down).
[ ] [ ] [ ] [ ]
22
PSiARViN ii −==
Total active power
P[3] = W[3] = P[0] + P[1] + P[2]
Total apparent power
S[3] = VA[3] = S[0] + S[1] + S[2]
Total reactive power (Non-active quantities broken down)
Q
1
[3] = VARF[3] = Q
1
[0] + Q
1
[1] + Q
1
[2]
Total distortion power (Non-active quantities broken down)
[ ] [ ] [ ] [ ] [ ]
2
1
22
3Q3P3S3VAD3D −−==
Total non-active power (Non-active quantities non broken down)
[ ] [ ] [ ] [ ]
22
3P3S3VAR3N −==
AD
AR
AFVF