YOKOGAWA WT1800 User Manual page 110
Precision power analyzer
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Appendix 1 Symbols and Determination of Measurement Functions
Measurement Functions Used in Harmonic Measurement (Option)
Measurement Function
Voltage U( ) [V]
Current I( ) [A]
Active power P( ) [W]
Apparent power S( ) [VA]
(TYPE3)*
Reactive power Q( ) [var]
(TYPE3)*
Power factor λ ( )
Phase difference Φ ( ) [°]
Phase difference with U(1)
ΦU(
) [°]
Phase difference with I(1)
ΦI(
) [°]
Impedance of the load circuit
Z(
) [Ω]
Series resistance of the
load circuit
Rs(
) [Ω]
Series reactance of the
load circuit
Xs(
) [Ω]
Parallel resistance of the
load circuit
Rp(
) [Ω] (= 1/G)
Parallel reactance of the
load circuit
Xp(
) [Ω] (= 1/B)
Frequency of PLL source 1
FreqPLL1[Hz]
Frequency of PLL source 2
FreqPLL2[Hz]
Note
•
k denotes a harmonic order, r denotes the real part, and j denotes the imaginary part.
•
U(k), Ur(k), Uj(k), I(k), Ir(k), and Ij(k) are expressed using rms values.
•
The minimum harmonic order is denoted by min. min can be set to either 0 (the dc component) or 1 (the
fundamental component).
•
The upper limit of harmonic analysis is denoted by max. max is either an automatically determined value
or the specified maximum measured harmonic order, whichever is smaller.
App-4
Methods of Computation and Determination
Numbers and Characters in the Parentheses
dc
(when k = 0)
(when k = 1)
U(dc) =U
(0)
r
I(dc) = I
(0)
r
P(dc) = U
(0)
I
(0)
r
•
r
S(dc) = P(dc)
Q(dc) = 0
P(dc)
λ(dc) =
S(dc)
—
—
—
U(dc)
Z(dc) =
I(dc)
P(dc)
Rs(dc) =
2
I(dc)
Q(dc)
Xs(dc) =
2
I(dc)
2
U(dc)
Rp(dc) =
P(dc)
2
U(dc)
Xp(dc) =
Q(dc)
Frequency of the PLL source of harmonic group 1 (PLL source 1)
Frequency of the PLL source of harmonic group 2 (PLL source 2)
1
k
(when k = 1 to max)
2
2
U(k) =
U
(k)
+
U
(k)
r
j
2
2
I(k) =
I
(k)
+
I
(k)
r
j
P(k) =
U
(k)
I
(k) +
U
(k)
r
•
r
j
•
2
2
S(k) =
P(k)
+ Q(k)
Q(k) =
U
(k)
I
(k) –
U
(k)
r
•
j
j
•
P(k)
λ(k) =
S(k)
{
}
Q(k)
-1
Φ(k) = tan
P(k)
ΦU(k) = The phase difference
—
between U(k) and U(1)
ΦI(k) = The phase difference
—
between I(k) and I(1)
U(k)
Z(k) =
I(k)
P(k)
Rs(k) =
2
I(k)
Q(k)
Xs(k) =
2
I(k)
2
U(k)
Rp(k) =
P(k)
2
U(k)
Xp(k) =
Q(k)
(Table 1/4)
Total Value (Total)
(No parentheses)
max
U
U =
(k)
k = min
max
I
I =
(k)
k = min
max
P
(k)
I
(k)
P =
j
k = min
2
S =
P
+ Q
max
Q
Q =
(k)
I
(k)
r
k = min
P
λ
=
S
) (
-1
Φ
= tan
—
—
—
—
—
—
—
(Continued on next page)
IM WT1801-03EN
2
2
2
Q
P
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