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11 Calculation formulas
power
Power factor
PF
-
Displacement power
factor
cosϕ
DPF
-
Tangent ϕ
tanϕ
-
Total harmonic
distortion referred to
fundamental
component
THDUF
-
Total harmonic
distortion referred to
RMS
THDUR
-
Total current harmonic
distortion referred to
fundamental
component
THDIF
-
Total harmonic
distortion referred to
RMS
THDIR
-
Voltage crest factor
CFU
-
Current crest factor
CFI
-
K-factor
K-Factor
-
Harmonics active
power
Ph
h=1..50
W
Harmonics reactive
power
Qh
h=1..50
var
Short-term flicker
PST
-
𝑃
𝑆
If PF < 0 the load has a generator character
If PF > 0 the load has a receiver character
cos 𝜑 = 𝐷𝑃𝐹 = cos�𝜑𝑈1 − 𝜑𝐼1 �
where ϕU1 is absolute angle of voltage fundamental
component UA-N
ϕI1 is absolute angle of current fundamental component
IA
𝑄1
𝑡𝑔𝜑 =
𝑃
𝑃𝐹 =
𝑇𝐻𝐷𝑈𝐹 =
2
�∑50
ℎ=2 𝑈ℎ
× 100%
𝑈1
where Uh is the hth voltage harmonics UA-N
U1 is the voltage fundamental component UA-N
𝑇𝐻𝐷𝑈𝑅 =
2
�∑50
ℎ=2 𝑈ℎ
× 100%
𝑈𝐴𝑅𝑀𝑆
where Uh is the hth voltage harmonics UA-N
𝑇𝐻𝐷𝐼𝐹 =
2
�∑50
ℎ=2 𝐼ℎ
× 100%
𝐼1
where Ih is the hth current harmonics IA
I1 is the current fundamental component IA
𝑇𝐻𝐷𝐼𝑅 =
2
�∑50
ℎ=2 𝐼ℎ
× 100%
𝐼𝐴𝑅𝑀𝑆
where Ih is the hth current harmonics IA
𝑚𝑎𝑥|𝑈𝑖 |
𝐶𝐹𝑈 =
𝑈𝐴𝑅𝑀𝑆
Where operator max|Ui | expresses the greatest
absolute value of voltage UA-N among samples
i = 2560 for 50Hz systems
i = 3072 for 60Hz systems
𝑚𝑎𝑥|𝐼𝑖 |
𝐶𝐹𝐼 =
𝐼𝐴𝑅𝑀𝑆
Where operator max|Ii | expresses the greatest absolute
value of current IA among samples
i = 2560 for 50Hz systems
i = 3072 for 60Hz systems
2 2
∑50
ℎ=1 𝐼ℎ ℎ
𝐾𝐹𝑎𝑐𝑡𝑜𝑟 =
𝐼12
Where Ih is the hth current harmonics IA
I1 is the current fundamental component IA
𝑃ℎ = 𝑈ℎ 𝐼ℎ cos 𝜑ℎ
Where Uh is the hth voltage harmonics UA-N
Ih is the hth current harmonics IA
ϕh is the angle between harmonics Uh and Ih
𝑄ℎ = 𝑈ℎ 𝐼ℎ sin 𝜑ℎ
Where Uh is the hth voltage harmonics UA-N
Ih is the hth current harmonics IA
ϕh is the angle between harmonics Uh and Ih
calculated according to IEC 61000-4-15
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