App-5
IM 253710-01E
Appendix
App
Measurement Functions in the Harmonic Measurement Mode & the Motor Evaluation
P(k)
S(k)
P
S
λ
=
k = min
max
Q = Q(k)
S = P
2
+ Q
2
Slip
i
r
(k)
2
+ i
j
(k)
2
2
I(dc) = i
r
(0)
k = min
max
I = I(k)
2
trq
r
(k)
2
+ trq
j
(k)
2
2
Torque
Trq( )
Motor output
Pm
Rotating Speed
Speed
Speed = Spd
r
(0)
Trq(dc) = trq
r
(0)
k = min
max
Trq = Trq(k)
2
Trq(k) =
I(k) =
u
r
(k)
2
+ u
j
(k)
2
2
U(dc) =u
r
(0)
k = min
max
U = U(k)
2
U(k) =
P(dc) = u
r
(0)
•
i
r
(0)
P(k) = u
r
(k)
•
i
r
(k) + u
j
(k)
•
i
j
(k)
k = min
max
P = P(k)
S(dc) = P(dc)
Q(k) = u
r
(k)
•
i
j
(k) – u
j
(k)
•
i
r
(k)
Q(dc) = 0
S(k) = P(k)
2
+ Q(k)
2
λ
(dc) =
λ
(k) =
U(dc)
I(dc)
Z(dc) =
U(k)
I(k)
Z(k) =
P(dc)
I(dc)
2
P(k)
I(k)
2
Rs(dc) =
Rs(k) =
Q(dc)
I(dc)
2
Q(k)
I(k)
2
Xs(dc) =
Xs(k) =
U(dc)
2
P(dc)
U(dc)
2
Q(dc)
U(k)
2
P(k)
Rp(dc) =
Rp(k) =
U(k)
2
Q(k)
Xp(dc) =
Xp(k) =
2
π
60
Pm=trq
r
(0)
•
spd
r
(0)
•
Synchronous Speed
Sync
120
•
(fU or fI)
Pole
Sync=
Sync – Speed
Sync
Slip =
P(dc)
S(dc)
Measurement Functions in the
Harmonic Measurement Mode
& the Motor Evaluation
Determination, Equation
The characters/values inside the ( ) of the measurement function
(Table 1/2)
Total {No ( )}
k
(
When
k = 2
to max.
)
1
(
When
k = 1)
dc
(
When
k = 0)
The phase difference of
U(k)
with respect to
φ
U(k) = U(1)
The phase difference of
I(k)
with respect to
φ
I(k) = I(1)
(Continues on the next page)
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Current I( ) [A]
Voltage U( ) [V]
Active power P( ) [W]
Apparent power S( ) [VA]
Reactive power Q( ) [var]
Power factor
λ
( )
Phase difference
φ
( ) [
°
]
Phase difference with respect to U(1)
φ
U( ) [
°
]
Phase difference with respect to I(1)
φ
I( ) [
°
]
Impedance of the load circuit
Z( ) [
Ω
]
Serial resistance of the load circuit
Rs( ) [
Ω
]
Serial 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)
Motor Evaluation
φ
(k) =ATAN2{P(k), Q(k)}
φ
(k) =ATAN2{P, Q}
tan
–1
{
}
y
x
tan
–1
{
}
y
x
+180
tan
–1
{
}
y
x
-180
Regarding ATAN2{x, y}
in the equation above:
When x > 0,
When x < 0 and y > 0,
When x < 0 and y < 0,
Appendix 2 Symbols and Determination of Measurement Functions
