Appendix; Calculation Methods Of Me96Ss (For 3 Phase Unbalanced System With Neutral) - Mitsubishi Electric ME96SSRA-MB User Manual

Appendix

1. Calculation methods of ME96SS (for 3 phase unbalanced system with neutral)

Item
R.m.s current for phase p
R.m.s neutral current
Lp-N r.m.s voltage
Lp-Lg r.m.s voltage
Active power for phase p
Apparent power for phase p
Reactive power for phase p
Power factor for phase p
Total active power
Total reactive power
Total apparent power
Total power factor
Normal mode
I =
N
V =
pg
P =
p
1 N − 1
(
∑
Q = ⋅ v × i
p pN 90
k
N
k = 0
where i is the current waveform
90_pk
shifted by 90°.
P
p
PF =
p
P 2 + Q 2
p p
Q
S = S + S + S
1 2 3
P
PF =
2 2
P + Q
106
IEC mode
N 1
−
∑
2
i
k p
I =
k = 0
p
N
N − 1
( )
∑
2
i + i + i
k 1 k 2 k 3
k = 0
N
N − 1
∑
2
v
pN
k
V
= k = 0
pN
N
N − 1
∑ ( )
2
v − v
gN pN
k k
k = 0
N
1 N 1
−
∑ ( )
⋅ v × i
pN k p
k
N
k = 0
S = V × I
p pN p
)
k p
_
Q =
p
PF =
p
P = P + P + P
1 2 3
= Q + Q + Q
1 2 3
S =
PF =
Remark
Refer to page
69 for the sign.
S 2 − P 2
p p
P Refer to page
p
69 for the sign.
S
p
Refer to page
69 for the sign.
2 2
P + Q
Refer to page
P
69 for the sign.
S