PQM-700 Operating Manual
38
5.3
3-phase wye network with N conductor
3-phase wye network with N conductor
(parameters not mentioned are calculated as for single-phase)
Parameter
Method of calculation
Name
Designa-
tion
Unit
Total active power
P
tot
W
𝑃
𝑡𝑜𝑡
= 𝑃
𝐴
+ 𝑃
𝐵
+ 𝑃
°𝐶
Total Budeanu reactive
power
Q
Btot
var
𝑄
𝐵𝑡𝑜𝑡
= 𝑄
𝐵𝐴
+ 𝑄
𝐵𝐵
+ 𝑄
𝐵𝐶
Total reactive power
acc. to IEEE 1459
Q
1
+
var
𝑄
1
+
= 3𝑈
1
+
𝐼
1
+
sin 𝜑
1
+
where:
U1+ is the voltage positive sequence component (of the
fundamental component
I1+ his the current positive sequence component (of the
fundamental component)
1
+
is the angle between components
U
1
+
and
I
1
+
Effective apparent power
S
e
VA
𝑆
𝑒
= 3𝑈
𝑒
𝐼
𝑒
where:
𝑈
𝑒
= √
3(𝑈
𝐴
2
+ 𝑈
𝐵
2
+ 𝑈
°𝐶
2
) + 𝑈
𝐴𝐵
2
+ 𝑈
𝐵𝐶
2
+ 𝑈
𝐶𝐴
2
18
𝐼
𝑒
= √
𝐼
𝐴
2
+ 𝐼
𝐵
2
+ 𝐼
°𝐶
2
+ 𝐼
𝑁
2
3
Effective apparent distor-
tion power
S
eN
VA
𝑆
𝑒𝑁
= √𝑆
𝑒
2
+ 𝑆
𝑒1
2
where:
𝑆
𝑒1
= 3𝑈
𝑒1
𝐼
𝑒1
𝑈
𝑒1
= √
3(𝑈
𝐴1
2
+ 𝑈
𝐵1
2
+ 𝑈
𝐶1
2
) + 𝑈
𝐴𝐵1
2
+ 𝑈
𝐵𝐶1
2
+ 𝑈
𝐶𝐴1
2
18
𝐼
𝑒1
= √
𝐼
𝐴1
2
+ 𝐼
𝐵1
2
+ 𝐼
𝐶1
2
+ 𝐼
𝑁1
2
3
Total Budeanu distortion
power
D
Btot
var
𝐷
𝐵𝑡𝑜𝑡
= 𝐷
𝐵𝐴
+ 𝐷
𝐵𝐵
+ 𝐷
𝐵𝐶
Total Power Factor
PF
tot
-
𝑃𝐹
𝑡𝑜𝑡
=
𝑃
𝑡𝑜𝑡
𝑆
𝑒
Total displacement
power factor
cos
tot
DPF
tot
-
cos 𝜑
𝑡𝑜𝑡
= 𝐷𝑃𝐹
𝑡𝑜𝑡
=
1
3
(cos 𝜑
𝐴
+ cos𝜑
𝐵
+ cos𝜑
°𝐶
)
Total tangent
tan
tot
-
𝑡𝑎𝑛𝜑
𝑡𝑜𝑡
=
𝑄
𝑡𝑜𝑡
𝑃
𝑡𝑜𝑡
where:
Q
tot
= Q
Btot
, when Budeanu method was chosen,
Q
tot
= Q
1tot
, when IEEE 1459 method was chosen,
Total active energy (con-
sumed and supplied)
E
P+tot
E
P-tot
Wh
formula same as in split-phase system
Total Budeanu reactive
energy
(consumed and supplied)
E
QB+tot
E
QB-tot
varh
formula same as in split-phase system
Summary of Contents for PQM-700
Page 85: ...85 Notes...
