YOKOGAWA WT1800 User Manual page 89

Harmonic Measurement (Option)
Measurement Functions Determined for Each Input Element
Item
Voltage (V)
Current (A)
Active power (W)
Apparent power (VA)
Reactive power (var)
Power factor
Phase difference (°)
Load circuit
impedance (Ω)
Load circuit resistance and
reactance (Ω)
Harmonic distortion factor (%) Uhdf(k): ratio of harmonic voltage U(k) to U(1) or U
Total harmonic distortion (%) Uthd: ratio of the total harmonic voltage to U(1) or U
Telephone harmonic factor
(applicable standard:
IEC34-1 (1996))
Telephone influence factor
(applicable standard:
IEEE Std 100 (1996))
4
Harmonic voltage factor
4
Harmonic current factor
K-factor
1 Harmonic order k is an integer from 0 to the upper limit of harmonic analysis. The 0th order is the DC component. The upper
limit is determined automatically according to the PLL source frequency. It can go up to the 500th harmonic order.
2 The total value is determined according to the equation on page App-4 from the fundamental wave (1st order) and all
harmonic components (2nd order to the upper limit of harmonic analysis). The DC component can also be included.
3 Total harmonic values are determined from all harmonic components (the 2nd order to the upper limit of harmonic analysis)
according to the equations on App-5.
4 The expression may vary depending on the definitions in the standard. For details, see the corresponding standard.
Measurement Functions that Indicate Fundamental Voltage and Current Phase Differences
between Input Elements
These measurement functions indicate the phase differences between the fundamental voltage U(1)
of the smallest numbered input element in a wiring unit and the fundamental voltages U(1) or currents
I(1) of other input elements. The following table indicates the measurement functions for a wiring unit
that combines elements 1, 2, and 3.
Item
Phase angle U1-U2 (°)
Phase angle U1-U3 (°)
Phase angle U1-I1 (°)
Phase angle U2-I2 (°)
Phase angle U3-I3 (°)
EaU1 to EaU6 (°),
EaI1 to EaI6 (°)
IM WT1801-03EN
Symbols and Meanings
U(k): rms voltage value of harmonic order k
I(k): rms current value of harmonic order k
P(k): active power of harmonic order k
S(k): apparent power of harmonic order k
Q(k): reactive power of harmonic order k
λ(k): power factor of harmonic order k
Φ(k): phase difference between the voltage and current of harmonic order k, Φ: total phase
difference
ΦU(k): phase difference between harmonic voltage U(k) and the fundamental wave U(1)
ΦI(k): phase difference between harmonic current I(k) and the fundamental wave I(1)
Z(k): impedance of the load circuit in relation to harmonic order k
Rs(k): resistance of the load circuit in relation to harmonic order k when resistor R, inductor L, and
capacitor C are connected in series
Xs(k): reactance of the load circuit in relation to harmonic order k when resistor R, inductor L, and
capacitor C are connected in series
Rp(k): resistance of the load circuit in relation to harmonic order k when R, L, and C are connected in parallel
Xp(k): reactance of the load circuit in relation to harmonic order k when R, L, and C are connected in parallel
Ihdf(k): ratio of harmonic current I(k) to I(1) or I
Phdf(k): ratio of harmonic active power P(k) to P(1) or P
Ithd: ratio of the total harmonic current to I(1) or I
Pthd: ratio of the total harmonic active power to P(1) or P
Uthf: voltage telephone harmonic factor, Ithf: current telephone harmonic factor
Utif: voltage telephone influence factor, Itif: current telephone influence factor
hvf: harmonic voltage factor
hcf: harmonic current factor
Ratio of the sum of squares whose harmonic components are weighted to the sum of squares of
the electric current harmonics
Symbols and Meanings
ΦU1-U2: phase angle between the fundamental voltage of element 1, which is expressed as U1(1),
and the fundamental voltage of element 2, which is expressed as U2(1)
ΦU1-U3: phase angle between U1(1) and the fundamental voltage of element 3, U3(1)
ΦU1-I1: phase angle between U1(1) and the fundamental current of element 1, I1(1)
ΦU2-I2: phase angle between U2(1) and the fundamental current of element 2, I2(1)
ΦU3-I3: phase angle between U3(1) and the fundamental current of element 3, I3(1)
Φ × 2/N, where Φ is the phase angle of the fundamental wave of U1 to I6 with the rising edge of the
signal received through the Z terminal of the motor evaluation function (option) as the reference. N
is the number of poles that have been specified for the motor evaluation function.
6.3 Displayed Items
1 2
U: total rms voltage
2
I: total rms current
P: total active power 2
2
S: total apparent power
2
Q: total reactive power
2
λ: total power factor
3
3
3
1
2
3
4
5
6
App
Index
6-5