14-5
IM 760201-01E
Specifications
3
2
1
4
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7
8
9
10
11
12
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14
App
Index
14.4 Harmonic Measurement Functions (Measured
Items)
Measurement Functions Determined for Each Input Element
Item
Symbols and Meanings
Voltage (V)
U(k): Rms voltage value of harmonic order k.
1
U(Total): Rms voltage.
2
Current (A)
I(k): Rms current value of harmonic order k.
I(Total): Rms current.
2
Active power (W)
P(k): Active power of harmonic order k.
P(Total): Active power.
2
Apparent power (VA)
S(k): Apparent power of harmonic order k.
S(Total): Total apparent power.
2
Reactive power (var)
Q(k): Reactive power of harmonic order k.
Q(Total): Total reactive power.
2
Power factor
λ
(k): Power factor of harmonic order k.
λ
(Total): Total power factor.
2
Phase difference (°)
f
(k): Phase difference between the voltage and current of harmonic order k.
f
: Total phase
difference.
f
U(k): Phase difference between harmonic voltage U(k) and the fundamental signal U(1).
f
I(k): Phase difference between harmonic current I(k) and the fundamental signal I(1).
Harmonic distortion factor (%) Uhdf(k): Ratio of harmonic voltage U(k) to U(1) or U(Total).
Ihdf(k): Ratio of harmonic current I(k) to I(1) or I(Total).
Phdf(k): Ratio of harmonic active power P(k) to P(1) or P(Total).
Total harmonic distortion (%) Uthd: Ratio of the total harmonic voltage to U(1) or U(Total).
3
Ithd: Ratio of the total harmonic current to I(1) or I(Total).
Pthd: Ratio of the total harmonic active power to P(1) or P(Total).
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 of harmonic analysis is either set to an automatically determined value or to the value that you set, whichever is smaller. It
can go up to the 50th harmonic order.
2 The total value is determined according to the equation in appendix 1 from the fundamental signal (1
st
order) and all harmonic
components (2
nd
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 2
nd
order to the upper limit of harmonic analysis)
according to the equations in appendix 1.
Measurement Functions that Indicate Fundamental Voltage and Current Phase
Differences between and within Elements
These measurement functions indicate the phase differences between the fundamental
voltage U(1) of the smallest numbered element in a wiring unit and the fundamental
voltages U(1) or currents I(1) of other elements. The following table indicates the
measurement functions for a wiring unit that combines elements 1, 2, and 3.
Item
Symbols and Meanings
Phase difference U1-U2 (°)
f
U1-U2: Phase difference 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).
Phase difference U1-U3 (°)
f
U1-U3: Phase difference between U1(1) and the fundamental voltage of element 3, U3(1).
Phase difference U1-I1 (°)
f
U1-I1: The phase difference between U1(1) and the fundamental current of element 1, I1(1).
Phase difference U1-I2 (°)
f
U1-I2: The phase difference between U1(1) and the fundamental current of element 2, I2(1).
Phase difference U1-I3 (°)
f
U1-I3: The phase difference between U1(1) and the fundamental current of element 3, I3(1).
Measurement Functions Determined for Each Wiring Unit (
Σ
Functions)
Item
Symbols and Meanings
Voltage (V)
U
Σ
(1): Rms voltage of harmonic order 1.
U
Σ
(total value): Rms voltage.
1
Current (A)
I
Σ
(1): Rms current of harmonic order 1.
I
Σ
(total value): Rms current.
1
Active power (W)
P
Σ
(1): Active power of harmonic order 1.
P
Σ
(total value): Active power.
1
Apparent power (VA)
S
Σ
(1): Apparent power of harmonic order 1.
S
Σ
(total value): Total apparent power.
1
Reactive power (var)
Q
Σ
(1): Reactive power of harmonic order 1.
Q
Σ
(total value): Total reactive power.
1
Power factor
λΣ
(1): Power factor of harmonic order 1.
λΣ
(total value): Total power factor.
1
1 The total value is determined according to the equation in appendix 1 from the fundamental signal (1
st
order) and all harmonic
components (2
nd
order to the upper limit of harmonic analysis). The DC component can also be included.
