HT Italia SOLAR300, User Manual

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SOLAR300 - SOLAR300N
EN - 152
10.10. POWER AND POWER FACTOR: DEFINITIONS
In a standard electrical installation powered by three sine voltages the following are to be
defined:
Phase Active Power:
(n=1,2,3)
) cos(
n n nN actn
I V P

  
Phase Apparent Power:
(n=1,2,3)
n nN appn
I V P
 
Phase Reactive Power:
(n=1,2,3)
2 2
actn appn reactn
P P P
 
Phase Power Factor:
(n=1,2,3)
appn
actn
n F
P
P
P

Total Active Power:
3 2 1 act act act act
P P P P
  
Total Reactive Power:
3 2 1 react react react react
P P P P
  
Total Apparent Power:
2 2
react act app
P P P
 
Total Power Factor:
app
act
F
P
P
P

where:
V
nN
= RMS value of voltage between phase n and Neutral.
I
n
= RMS value of n phase current.
f
n
= Phase angle between voltage and current of n phase.
In the presence of distorted voltages and currents the previous relations vary as follows:
Phase Active Power:
(n=1,2,3)
) ( I V P
n
k
n
k
n
k
k
actn

cos
0




Phase Apparent Power:
(n=1,2,3)
n nN appn
I V P
 
Phase Reactive Power:
(n=1,2,3)
2 2
actn appn reactn
P P P
 
Phase Power Factor:
(n=1,2,3)
appn
actn
n
F
P
P
P

Distorted Power Factor
(n=1,2,3)
dPF
n
=cos
f
1n
=
phase displacement between the
fundamentals of voltage and
current of n phase
Total Active Power:
3 2 1 act act act act
P P P P
  
Total Reactive Power:
3 2 1 react react react react
P P P P
  
Total Apparent Power:
2 2
react act app
P P P
 
Total Power Factor:
app
act
F
P
P
P

where:
V
kn
= RMS value of kth voltage harmonic between n phase and Neutral.
I
kn
= RMS value of kth current harmonic of n phase.
f
kn
= Phase displacement angle between kth voltage harmonic and kth current harmonic of
n phase.
Note: