User manual

UMG 96RM
11
General
Mains frequency power factor
The mains frequency power factor is the power factor of the mains frequency and is calculated using the fourier analysis
(FFT). The voltage and current must not be sinusoidal. All in the device calculated reactive power are resulting of funda-
mental reactive power.
Power factor sign
• SignQ=+1forphiintherange0°..180°
(inductive)
• SignQ=-1forphiintherange180°..360°
(capacitive)
Vorzeichen Qfalls
pp
= +1 () ϕϕ ∈°
−°
[]
0 180
Vorz
eichen Qfalls
pp
= −1 () ϕϕ ∈°
−°
[]
180 360
Reactive power for phase conductor p
• Reactivepowerofthemainsfrequency.
QVorzeichen QSP
fund
pp
fund pfund p
=⋅
− () ϕ
22
Total reactive power
• Reactivepowerofthemainsfrequency.
QQ
QQ
V
=++
123
Distortion power factor
• Thedistortionpowerfactoristhepowerfactorofall
mains frequencies and is calculated using the fourier
analysis (FFT).
DSPQ
fund
=−−
222
• Theapparentpower„S”containsallfundamentalharmonicsandallharmonicratesuptotheM-thharmonic.
• Theeffectivepower„P”containsallfundamentalharmonicsandallharmonicratesuptotheM-thharmonic.
• M=40(UMG604,UMG508,UMG96RM)
• M=50(UMG605,UMG511)
Reactive energy per phase
EQ
tt
rL
L1
1
=⋅
∫
() ∆
Reactive energy per phase, inductive
EQtt
rind L
L
()
()
1
1
=⋅
∫
∆
fürQ
L1
(t) > 0
fürQ
L1
(t) < 0
Reactive energy per phase, capazitive
EQtt
rcap L
L
()
()
1
1
=⋅
∫
∆
Reactive energy, sum L1-L3
EQtQtQ
tt
rLLL
LL L123
123
,,
(()()())=+
+⋅
∫
∆
Reactive energy, sum L1-L3, inductive
EQtQtQ
tt
rind LL L
LL L
()
,,
(()()())
123
123
=+
+⋅
∫
∆
für(Q
L1
(t)+Q
L2
(t)+Q
L3
(t)) > 0
Reactive energy, sum L1-L3, capazitive
für(Q
L1
(t)+Q
L2
(t)+Q
L3
(t)) < 0
EQtQtQ
tt
rcap LL L
LL L
()
,,
(()()())
123
123
=+
+⋅
∫
∆