User Manual

Specifications
SpecificationsSpecifications
16
Measurement function
(
(
∑
for each connected unit (
functio
n) o
btained fo
)
(
∑
A
,
∑
B
,
∑
C)
)
I
t
em
S
ymbol and Meanin
g
g
V
o
l
ta
g
e
(V)
U
rms
∑
: True RMS value
,
Umn
∑
: Rectifi ed mean value calibrated to the RMS value
,
Udc
∑
:
S
im
p
le mean value, Urmn: Rectifi ed mean value, Uac
∑
: A
C
com
p
onen
t
C
urrent
(
A
)
I
rm
s
∑
: True RMS value
,
Imn
∑
: Rectifi ed mean value calibrated to the RMS value
,
I
dc
∑
: Simple mean value, Irmn
∑
: Rectifi ed mean value
,
Iac
∑
: AC componen
t
Active power (W)
P
∑
A
pparent power
(VA)
S
∑
R
eactive power
(
var
)
Q
∑
Po
w
e
r
fac
t
or
λ
∑
C
orrected power
(
W
)
Pc
∑
Applicable standards IEC76-1
(
1976
)
, IEC76-1
(
1993
)
I
ntegratio
n
T
im
e
∑
: Integration time
WP
∑
:
Sum of the amount of both positive and ne
g
ative powe
r
WP+
∑
: Sum of positive P (amount of power consumed
)
W
P-
∑
:
S
um of negative P (amount of power returned to the grid
)
q
∑
: Sum of the amount of both positive and ne
g
ative curren
t
q
+
∑
: Sum of positive I (amount of current
)
q
-
∑
:
S
um of negative I (amount of current
)
W
S
∑
: Inte
g
ration of S
∑
W
Q
∑
: Integration of Q
∑
Harmonic Measurement (Option)
M
easurement function obtained for each in
p
ut elemen
t
Ite
m
S
ymbol and Meanin
g
g
V
o
l
tage
(V)
U
(k): RM
S
value of the harmonic voltage of order
k
*1
,
U
: Volta
g
e RMS value
(
Total valu
e
*
2
)
C
urrent (A
)
I
(k): RM
S
value of the harmonic current of order k
,
I
:
C
urrent RM
S
value (Total value)
A
ct
i
ve power
(W)
P
(
k
)
: Active power of the harmonic of order k, P: Active power
(
Total value
)
Apparent power (VA
)
S
(k): Apparent power of the harmonic of order k,
S
: Total apparent power (Total value
)
R
eact
i
ve power
(
var
)
Q
(
k
)
: Reactive power of the harmonic of order k
,
Q
: Total reactive power (Total value
)
Po
w
e
r
fac
t
or
λ
(k): Power
f
actor o
f
the harmonic o
f
order k,
λ
:
Total power factor
(
Total value
)
P
hase angle (°)
Ø
(k): Phase angle between the harmonic voltage and current of order k,
Ø
: Total phase an
g
l
e
Ø
U
(
k
)
: Phase an
g
le of each harmonic volta
g
e U
(
k
)
relative to the fundamental wave U
(
1
)
Ø
I (k): Phase angle of each harmonic current I (k) relative to the fundamental wave I (1
)
I
mpedance of the load circuit
(
1
)
Z
(
k
)
: Impedance of the load circuit for the harmonic of order k
R
esistance and reactance o
f
the load circuit (
1
)
R
s
(
k
)
: Resistance of the load circuit to the harmonic of order k when the resistance R
,
the inductance L, and the capacitor C are connected in serie
s
Xs (k): Reactance o
f
the load circuit to the harmonic o
f
order k when the resistance R
,
the inductance L, and the ca
p
acitor C are connected in serie
s
R
p
(
k
)
: Resistance of the load circuit to the harmonic of order k when the resistance R,
the inductance L, and the ca
p
acitor
C
are connected in
p
aralle
l
Xp
(
k
)
: Reactance of the load circuit to the harmonic of order k when the resistance R,
the inductance L, and the capacitor C are connected in paralle
l
H
armonic content [%]
U
hd
f
(k): Ratio o
f
the harmonic voltage U (k) to U (1) or
U
I
hdf
(
k
)
: Ratio of the harmonic current I
(
k
)
to I
(
1
)
or
I
P
hdf
(
k
)
: Ratio of the active harmonic power P
(
k
)
to P
(
1
)
or
P
T
otal harmonic distortion [%]
U
thd: Ratio of the total harmonic
*3
vo
l
ta
g
e to
U
(
1
)
or
U
I
thd: Ratio o
f
the total harmonic current to I (1) or
I
P
thd: Ratio o
f
the total harmonic active power to P (1) or P
T
elephone harmonic facto
r
U
thf: Volta
g
e telephone harmonic factor, Ithf: Current telephone harmonic factor
Applicable standard: IE
C
34-1 (1996)
T
elephone infl uence factor
U
tif: Voltage telephone infl uence factor, Itif: Current telephone infl uence facto
r
Applicable standard: IEEE
S
td 100 (1996)
H
armonic volta
g
e facto
r
*
4
h
v
f
: harmonic voltage
f
acto
r
Ha
rm
o
ni
c
cu
rr
e
nt
fac
t
o
r
*4
h
cf: harmonic current factor
K
-
f
acto
r
R
atio o
f
the sum o
f
the squares o
f
weighted harmonic components to the sum o
f
th
e
sq
uares o
f
the orders o
f
harmonic current
*1: Order k is an inte
g
er in the ran
g
e from 0 to the upper limit value for the measured order. The 0th order is
a
D
C
current component (dc). The upper limit value for the measured order is automatically determined up t
o
the 500th order depending on the
f
requency o
f
the PLL source
.
*2: The total value is calculated by obtainin
g
the fundamental wave
(
the 1st order
)
and all harmonic
components (from the 2nd order to the upper limit value for the measured order). Also, the D
C
component (dc)
can
b
e a
dd
e
d
to t
h
e e
q
uat
i
on
.
*3: The total harmonic is calculated by obtainin
g
the total harmonic component
(
from the 2nd order to the upper
limit value
f
or the measured order)
*4: The equations may vary depending on the defi nitions in the standards, etc.
C
heck the standards for details.
M
easurement
f
unction indicating the phase di
ff
erence o
f
the
f
undamental wave between the voltage
a
nd current between input elements
T
his is a measurement
f
unction indicating the phase angle o
f
the
f
undamental wave U (1) or I (1) o
f
another
element to the fundamental wave U
(
1
)
of the element with the smallest number amon
g
input elements assi
g
ned
to the connected unit. The
f
ollowing table shows measurement
f
unctions
f
or the connected unit with a
combination o
f
the elements 1, 2, and 3.
I
te
m
Symbol and Meanin
g
g
P
hase angle U1-U2 (°
)
Ø
U1-U2: Phase angle of the fundamental wave (U2 (1)) of the voltage of the element
2 to the
f
undamental wave (U1 (1)) o
f
the voltage o
f
the element 1
Ph
ase an
gl
e
U
1-
U
3
(
°
)
Ø
U1-U3: Phase an
g
le of the fundamental wave
(
U3
(
1
))
of the volta
g
e of the element
3 to U1 (1)
Ph
ase ang
l
e
U
1-
I
1
(
°
)
Ø
U1-I1: Phase angle of the fundamental wave (I1 (1)) of the current of the element 1
to
U
1
(
1
)
P
hase angle U2-I2 (°
)
Ø
U2-I2: Phase angle of the fundamental wave (I2 (1)) of the current of the element
2
to
U
2
(
1
)
Ph
ase an
gl
e
U
3-
I
3
(
°
)
Ø
U3-I3: Phase an
g
le of the fundamental wave
(
I3
(
1
))
of the current of the element 3
to U3 (1)
E
a
U
1 to
E
a
U
6
(
°
)
,
E
a
I
1 to
E
a
I
6
(
°
)
P
hase an
g
le Ø of the fundamental waves of U1 to I6 based on the rise of the Z terminal
i
nput in the motor evaluation
f
unction (option).
N
is the set value for the number of
p
oles in the motor evaluation function.
Measurement function (
(
∑
function) obtained for each connected unit (
)
(
∑
A,
∑
B,
∑
C)
)
I
t
em
S
ymbol and Meanin
g
g
V
o
l
ta
g
e
(V)
U
∑
(
1
)
: RMS of the harmonic volta
g
e of order 1,
U
∑
:
RMS of the volta
g
e
(
Total value
*1
)
C
urrent (A)
I
∑
(1): RM
S
of the harmonic current of order 1,
I
∑
: RM
S
of the current (Total value)
A
ct
i
ve power
(W)
P
∑
(
1
)
: Harmonic active power of order 1,
P
∑
:
T
ota
l
act
i
ve power
(T
ota
l
va
l
ue
)
Apparent power
(
VA
)
S
∑
(
1
)
: Harmonic apparent power of order 1,
S
∑
: Total apparent power
(
Total value
)
R
eactive power (var
)
Q
∑
(1): Harmonic reactive power of order 1,
Q
∑
: Total reactive power (Total value
)
Po
w
e
r f
ac
t
or
λ
∑
(
1
)
: Harmonic power factor of order 1,
λ
∑
:
Total power factor
(
Total value
)
*1: The total value is calculated by obtainin
g
the fundamental wave
(
the 1st order
)
and all harmoni
c
components (from the 2nd order to the upper limit value for the measured order). Also, the D
C
component (dc)
can
b
e a
dd
e
d
to t
h
e e
q
uat
i
on
.
Delta Calculation (Option)
I
t
em
Delta
C
alculation
S
ettin
g
g
S
ymbol and Meanin
g
g
V
o
l
ta
g
e
(V)
differenc
e
Δ
U
1: Differential volta
g
e between u1 and u2 determined
b
y computatio
n
3P3W
->
3V3A
Δ
U
1:
Li
ne vo
l
tage t
h
at
i
s not measure
d
b
ut can
b
e
c
omputed for a three-phase, three-wire system
DELTA->
S
TAR
Δ
U
1,
Δ
U2,
Δ
U3: Phase voltage that can be computed
b
y a t
h
ree-p
h
ase, t
h
ree-w
i
re
(
3
V
3
A)
system
Δ
U
∑
=
(
Δ
U
1 +
Δ
U
2 +
Δ
U
3
)
/3
S
TAR->DELT
A
Δ
U
1,
Δ
U2,
Δ
U3: Line voltage that can be compute
d
f
or a three-
p
hase,
f
our-wire s
y
ste
m
Δ
U
∑
=
(
Δ
U
1 +
Δ
U
2 +
Δ
U3
)
/3
C
urrent (A
)
d
i
ffe
r
e
n
ce
Δ
I1: Di
ffe
r
e
nti
a
l
cu
rr
e
nt
be
tw
ee
n i1
a
n
d
i2
de
t
e
rmin
ed
by
com
p
utat
i
o
n
3
P3W->3V3
A
Δ
I: Phase current that is not measured
DELTA->
S
TAR
Δ
I: N
eu
tr
a
l lin
e
cu
rr
e
nt
S
TAR->DELT
A
Δ
I
:
Neu
tr
al
li
n
e
cu
rr
e
nt
P
ower
(
W
)
differenc
e
---
3
P
3
W->
3
V
3A
---
DELTA->
S
TAR
Δ
U
1
,
Δ
U
2
,
Δ
U
3:
Ph
ase
p
ower
d
eterm
i
ne
d
by
c
omputation for a three-phase, three-line
(
3V3A
)
syste
m
Δ
P
∑
=
Δ
P1 +
Δ
P2 +
Δ
P
3
S
TAR->DELT
A
---
Waveform/Trend
I
t
em
Sp
eci
f
ication
W
aveform display Displays the waveforms of the volta
g
e and current from elements 1 throu
g
h 6, torque,
speed, AUX1, and AUX2.
T
ren
d
di
s
pl
a
y
Dis
p
la
y
s trends in numerical data o
f
the measurement
f
unctions in a se
q
uential line
g
rap
h
.
Number o
f
measurement channels: Up to 16 parameters
Bar Graph/Vector (Option)
Ite
m
Specification
B
ar graph display Displays the size o
f
each harmonic in a bar graph
.
V
ector
di
sp
l
ay Displays the vector of the phase difference in the fundamental waves of volta
g
e an
d
curren
t
.
A
ccurac
y
Voltage and Current
I
te
m
Specification
Accuracy (six-month)
C
ondition
s
T
em
p
erature: 23±5°
C
, Humidit
y
: 30 to 75%RH, In
p
ut waveform:
S
ine wave,
P
ower factor
(
λ
)
: 1, Common mode volta
g
e: 0 V, Crest factor: 3, Line fi lter: OF
F
F
requency fi lter: 1 kHz or less when
O
N, after warm-up.
A
f
ter zero level compensation or range value changed while wired. The unit o
f
f
within
t
h
e accuracy equat
i
on
i
s
kH
z.
V
o
l
tage
F
requenc
y
A
ccuracy
±
(Measurement reading error +
S
etting range error)
D
C
±
(0.05% o
f
reading + 0.1% o
f
range
)
0
.1
H
z
)
f < 10 H
z
±(
0.1% of readin
g
+ 0.2% of ran
g
e
)
1
0
Hz
)
f
< 4
5
H
z
±
(0.1% o
f
reading + 0.1% o
f
range)
4
5
H
z
)
f
)
66
Hz
±(
0.1% of readin
g
+ 0.05% of ran
g
e
)
66 Hz < f
)
1kHz
±(
0.1% of readin
g
+ 0.1% of ran
g
e
)
1 kHz
<
f
)
50
kH
z
±
(0.3% o
f
reading + 0.1% o
f
range
)
50
kHz < f
)
1
00
kHz
±(
0.6% of readin
g
+ 0.2% of ran
g
e
)
100 kHz < f
)
500 kHz
±{(
0.006 × f
)
% of readin
g
+ 0.5% of ran
g
e
}
500
kHz <
f
)
1MHz
±
{(0.022 ×
f
- 8)% o
f
reading + 1% o
f
range
}
F
re
q
uenc
y
b
an
d
w
id
t
h
5
MH
z
(
-3
dB
, typ
i
ca
l)
Cu
rr
e
nt
F
requenc
y
A
ccuracy
±
(Measurement reading error + Setting range error)
D
C
±
(0.05% o
f
reading + 0.1% o
f
range
)
0
.1
H
z
)
f < 10 H
z
±(
0.1% of readin
g
+ 0.2% of ran
g
e
)
10 Hz
)
f < 45 H
z
±
(0.1% of reading + 0.1% of range)
4
5
H
z
)
f
)
66
Hz
±
(0.1% o
f
reading + 0.05% o
f
range
)
66 Hz < f
)
1
kH
z
±(
0.1% of readin
g
+ 0.1% of ran
g
e
)
Direct input o
f
the 50 A input element
±(0.2% o
f
reading + 0.1% o
f
range
)
1 kHz < f
)
50
kHz
±(
0.3% of readin
g
+ 0.1% of ran
g
e
)
50 mV, 100 mV, 200 mV range o
f
the external current sensor input
±
(0.5% o
f
reading + 0.1% o
f
range)
Direct input of the 50 A input element
±{(0.1 ×
f
+ 0.2)% o
f
reading + 0.1% o
f
range}
50
kHz <
f
)
1
00
kHz
±
(0.6% o
f
reading + 0.2% o
f
range
)
Direct input of the 50 A input element
±{(0.1 ×
f
+ 0.2)% o
f
reading + 0.1% o
f
range}
1
00
kHz <
f
)
2
00
kH
z
±
{(0.00725 ×
f
- 0.125)% o
f
reading + 0.5% o
f
range
}
Direct input of the 50 A input element
±{(0.05 ×
f
+ 5)% o
f
reading + 0.5% o
f
range
}
2
00
kHz <
f
)
500
kHz
Direct in
p
ut o
f
the 5 A in
p
ut elemen
t
±
{(
0.00725 × f - 0.125
)
% of readin
g
+ 0.5% of ran
g
e
}
500
kHz <
f
)
1MHz
Direct in
p
ut o
f
the 5 A in
p
ut elemen
t
±
{(
0.022 ×
f
- 8
)
% o
f
readin
g
+ 1% o
f
ran
g
e
}
F
requency bandwidth 5 MHz
(
-3 dB, typical
)
5 A input elemen
t
External current sensor in
p
ut o
f
the 50 A in
p
ut elemen
t