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4 Calculation formulas
π‘š
𝐸𝑄1+ = βˆ‘ 𝑄1+ (𝑖)𝑇(𝑖)
𝑖=1
𝑄 (𝑖) π‘“π‘œπ‘Ÿ 𝑄1(𝑖) > 0
𝑄1+ (𝑖) = { 1
0 π‘“π‘œπ‘Ÿ 𝑄1(𝑖) ≀ 0
π‘š
𝐸𝑄1βˆ’ = βˆ‘ 𝑄1βˆ’ (𝑖)𝑇(𝑖)
Reactive energy of fundamental component
(consumed and supplied)
EQ1+
EQ1-
𝑖=1
varh
𝑄1βˆ’ (𝑖) = {
|𝑄1 (𝑖) | π‘“π‘œπ‘Ÿ 𝑄1 (𝑖) < 0
0 π‘“π‘œπ‘Ÿ 𝑄1(𝑖) β‰₯ 0
where:
i is subsequent number of the 10/12-period measurement window,
Q1(i) represents reactive power of fundamental component Q1 calculated in i-th measuring window,
T(i) represents duration of i-th measuring window (in
hours)
π‘š
𝐸𝑆 = βˆ‘ 𝑆(𝑖)𝑇(𝑖)
𝑖=1
Apparent energy
4.2
ES
VAh
where:
i is subsequent number of the 10/12-period measurement window,
S(i) represents apparent power S calculated in i-th
measuring window
T(i) represents duration of i-th measuring window (in
hours)
Split-phase network
Split-phase network
(parameters not mentioned are calculated as for single-phase)
Name
Parameter
Designation
Unit
Method of calculation
Ptot
W
π‘ƒπ‘‘π‘œπ‘‘ = 𝑃𝐴 + 𝑃𝐡
QBtot
var
π‘„π΅π‘‘π‘œπ‘‘ = 𝑄𝐡𝐴 + 𝑄𝐡𝐡
Q1tot
var
𝑄1π‘‘π‘œπ‘‘ = 𝑄1𝐴 + 𝑄1𝐡
Stot
VA
π‘†π‘‘π‘œπ‘‘ = 𝑆𝐴 + 𝑆𝐡
SNtot
VA
π‘†π‘π‘‘π‘œπ‘‘ = 𝑆𝑁𝐴 + 𝑆𝑁𝐡
DBtot
var
π·π΅π‘‘π‘œπ‘‘ = 𝐷𝐡𝐴 + 𝐷𝐡𝐡
Total Power Factor
PFtot
-
Total displacement power factor
cosοͺtot
DPFtot
-
Total tangent οͺ
tanοͺtot
-
Total active power
Total Budeanu reactive
power
Total reactive power of
fundamental component
Total apparent power
Total apparent distortion
power
Total Budeanu distortion
power
π‘ƒπ‘‘π‘œπ‘‘
π‘†π‘‘π‘œπ‘‘
1
cos πœ‘π‘‘π‘œπ‘‘ = π·π‘ƒπΉπ‘‘π‘œπ‘‘ = (cos πœ‘π΄ + cosπœ‘π΅ )
2
π‘„π‘‘π‘œπ‘‘
π‘‘π‘Žπ‘›πœ‘π‘‘π‘œπ‘‘ =
π‘ƒπ‘‘π‘œπ‘‘
where: Qtot = QBtot, when Budeanu method was chosen,
Qtot = Q1tot, when IEEE 1459 method was chosen,
π‘ƒπΉπ‘‘π‘œπ‘‘ =
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