5 Calculation formulas
39
Total reactive energy of
fundamental component
(consumed and supplied)
E
Q1+tot
E
Q1-tot
varh
formula same as in split-phase system
Total apparent energy
E
Stot
VAh
𝐸
𝑆𝑡𝑜𝑡
= ∑ 𝑆
𝑒
(𝑖)𝑇(𝑖)
𝑀
𝑖=1
where:
i
is subsequent number of the 10/12-period measure-
ment window
S
e
(i)
represents the effective apparent power
S
e
, calcu-
lated in
i
-th measuring window
T(i)
represents duration of
i
-th measuring window (in
hours)
RMS value of zero volt-
age sequence
U
0
V
𝑈
0
=
1
3
(𝑈
𝐴1
+ 𝑈
𝐵1
+ 𝑈
𝐶1
)
𝑈
0
= 𝑚𝑎𝑔(𝑈
0
)
where
U
A1
,
U
B1
,
U
C1
are vectors of fundamental compo-
nents of phase voltages
U
A
,
U
B
,
U
C
Operator
mag()
indicates vector module
RMS value of positive
voltage sequence
U
1
V
𝑈
1
=
1
3
(𝑈
𝐴1
+ 𝑎𝑈
𝐵1
+ 𝑎
2
𝑈
𝐶1
)
𝑈
1
= 𝑚𝑎𝑔(𝑈
1
)
where
U
A1
,
U
B1
,
U
C1
are vectors of fundamental compo-
nents of phase voltages
U
A
,
U
B
,
U
C
Operator
mag()
indicates vector module
𝑎 = 1𝑒
𝑗120°
= −
1
2
+
√3
2
𝑗
𝑎
2
= 1𝑒
𝑗240°
= −
1
2
−
√3
2
𝑗
RMS value of negative
voltage sequence
U
2
V
𝑈
2
=
1
3
(𝑈
𝐴1
+ 𝑎
2
𝑈
𝐵1
+ 𝑎𝑈
𝐶1
)
𝑈
2
= 𝑚𝑎𝑔(𝑈
2
)
where
U
A1
,
U
B1
,
U
C1
are vectors of fundamental compo-
nents of phase voltages
U
A
,
U
B
,
U
C
Operator
mag()
indicates vector module
𝑎 = 1𝑒
𝑗120°
= −
1
2
+
√3
2
𝑗
𝑎
2
= 1𝑒
𝑗240°
= −
1
2
−
√3
2
𝑗
Voltage unbalance factor
for zero component
u
0
%
𝑢
0
=
𝑈
0
𝑈
1
∙ 100%
Voltage unbalance factor
for negative sequence
u
2
%
𝑢
2
=
𝑈
2
𝑈
1
∙ 100%
Current zero sequence
I
0
A
𝐼
0
=
1
3
(𝐼
𝐴1
+ 𝐼
𝐵1
+ 𝐼
𝐶1
)
𝐼
0
= 𝑚𝑎𝑔(𝐼
0
)
where
I
A1
,
I
B1
,
I
C1
are vectors of fundamental compo-
nents for phase currents
I
A
,
I
B
,
I
C
Operator
mag()
indicates vector module
Summary of Contents for PQM-700
Page 85: ...85 Notes...
