App-7
IM 253710-01E
Appendix
App
Σ
Function
The table below shows the case when elements 1 and 2 or 1, 2, and 3 are configured
using the wiring method in the table. If elements 2 and 3 or elements 3 and 4 are
configured using the wiring method 1P3W or 3P3W in the table, replace element
numbers 1 and 2 in the equation with 2 and 3 or 3 and 4, respectively. If elements 2, 3,
and 4 are configured using the wiring method 3V3A or 3P3W in the table, replace 1, 2,
and 3 in the equation with 2, 3, and 4.
Single-phase,
three-wire system
(1P3W)
Three-phase,
three-wire system
(3P3W)
Three-voltage,
three-current system
(3V3A)
Three-voltage,
four-wire system
(3P4W)
(Urms1 + Urms2) / 2
(Umn1 + Umn2) / 2
(Udc1 + Udc2) / 2
(Uac1 + Uac2) / 2
(U1 + U2) / 2
(Irms1 + Irms2) / 2
(Imn1 + Imn2) / 2
(Idc1 + Idc2) / 2
(Iac1 + Iac2) / 2
(I1 + I2) / 2
P1 + P2 + P3
Pc1 + Pc2 + Pc3
Pc1 + Pc2
(Urms1 + Urms2 + Urms3) / 3
(Umn1 + Umn2 + Umn3) / 3
(Udc1 + Udc2 + Udc3) / 3
(Uac1 + Uac2 + Uac3) / 3
(U1 + U2 + U3) / 3
(Irms1 + Irms2 + Irms3) / 3
(Imn1 + Imn2 + Imn3) / 3
(Idc1 + Idc2 + Idc3) / 3
(Iac1 + Iac2 + Iac3) / 3
(I1 + I2 + I3) / 3
Q1 + Q2
P
Σ
2
+ Q
Σ
2
S1 + S2
P
Σ
A
P
Σ
B
P
Σ
B
P
Σ
A
(S1 + S2 + S3)
3
3
(S1 + S2)
2
3
Urms
Σ
Umn
Σ
Udc
Σ
Uac
Σ
U
Σ
Irms
Σ
Imn
Σ
Idc
Σ
Iac
Σ
I
Σ
P
Σ
[W]
P1 + P2
S
Σ
[VA]
S1 + S2 + S3
Q
Σ
[var]
Q1 + Q2 + Q3
λΣ
P
Σ
S
Σ
φΣ
[
°
]
COS
-1
(
)
P
Σ
S
Σ
For the normal measurement mode
For the normal measurement mode
For the harmonic measurement mode
For the harmonic measurement mode
For the normal measurement mode
For the harmonic measurement mode
Z
Σ
[
Ω
]
S
Σ
Irms
Σ
2
P
Σ
Irms
Σ
2
Rs
Σ
[
Ω
]
P
Σ
Urms
Σ
2
Rp
Σ
[
Ω
]
(= 1/G)
Q
Σ
Urms
Σ
2
(For the normal measurement mode only)
(For the normal measurement mode only)
(For the normal measurement mode only)
(For the normal
measurement
mode only)
Xp
Σ
[
Ω
]
(= 1/B)
Pc
Σ
[W]
Q
Σ
Irms
Σ
2
Xs
Σ
[
Ω
]
η
(Efficiency 1)
[%]
1/
η
(Efficiency 2)
[%]
U [V]
I [A]
Measurement
Function
(
Σ
Function)
Equation
(For the normal measurement mode only)
(For the normal measurement mode only)
(For the normal measurement mode only)
(For the normal measurement mode only)
(For the normal measurement mode only)
(For the normal measurement mode only)
•
100
•
100
Note
•
P
Σ
, Q
Σ
, and
λΣ
are equations that apply both to the normal and harmonic measurement modes.
•
Each symbol denotes the measurement function of the corresponding element that is determined during
normal or harmonic measurement modes. For details, see section 1.2 and pages App-4 to App-6.
•
The letters A and B of
Σ
A and
Σ
B denote the combinations of wiring systems. For details,
see section 5.2.
•
For information on Speed, Torque, Sync, Slip, Pm, motor efficiency, and total efficiency, see
chapter 15.
Appendix 2 Symbols and Determination of Measurement Functions