212
Specications of Equations
10.5 Specications of Equations
Equations for basic measurement items
Wiring
Item
1P2W 1P3W 3P3W2M 3V3A 3P3W3M 3P4W
Voltage RMS
value
Urms
(i)
=
Urms
(i)(i+1)
=
(Urms
(i)
+ Urms
(i+1)
)
Urms
(i)(i+1)(i+2)
=
(Urms
(i)
+ Urms
(i+1)
+ Urms
(i+2)
)
RMS equivalent
of voltage
average rectied
value
Umn
(i)
=
π
22
1
0
1
M
U
M -
=
∑
(i)s
Umn
(i)(i+1)
=
(Umn
(i)
+ Umn
(i+1)
)
Umn
(i)(i+1)(i+2)
=
(Umn
(i)
+ Umn
(i+1)
+ Umn
(i+2)
)
Voltage AC
component
Uac
(i)
=
Urms − Udc
2 2
()
(i) (i)
Voltage simple
average
Udc
(i)
=
Voltage
fundamental
wave component
Harmonic voltage
U
1(i)
in harmonic equation
Voltage peak
Upk+
(i)
= U
(i)s
maximum of
M
data points
Upk−
(i)
= U
(i)s
maximum of
M
data points
Total voltage
harmonic
distortion
Uthd
(i)
in harmonic equation
Voltage ripple
factor
Voltage phase
angle
θU
1(i)
in harmonic equation
Voltage
unbalance rate
Uunb
(i)(i+1)(i+2)
=
1− 3−6
1+ 3−6
×100
β
β
=
++
U U U
2
2
2
2
(i)(i+1)
(i+1)(i+2)
(i+2)(i)
Example: If Ch. 1 to Ch. 3 are used
β
=
++
++
UUU
UUU
12
4
23
4
31
4
12
2
23
2
31
2
2
•
U
12
,
U
23
, and
U
31
are fundamental wave voltage
RMS values (line voltage), which are obtained
from harmonic calculation results.
• In 3P4W wiring mode, phase voltage is
detected, but converted to line voltage before
calculation.
(i)
: measurement channel,
M
: number samples between sync timings,
s
: sample point number