FUNCTION CHARACTERISTICS
57
Calculated
By means vector addition of direct measures the following are calculated (RMS value of fundamen-
tal components):
• Phase-to-phase voltages:
U
12
,
U
23
,
U
31
• Fundamental component of the calculated residual voltage
U
EC[1]
• Thermal image ∆
θ
Phase
[2]
• Displacement angle of any phase current respect the corresponding phase-to-neutral voltage:
Phi
L1
,
Phi
L2
,
Phi
L3
,
• Displacement angle of any phase current respect the remaining phase-to-phase voltages:
Alpha
L1
,
Alpha
L2
,
Alpha
L3
,
• Displacement angle of the residual current respect the corresponding measured residual voltage
(positive with current in lagging direction in respect to voltage):
Phi
E
(traditional VT inputs only),
• Displacement angle of the residual current respect the corresponding calculated residual voltage
(positive with current in lagging direction in respect to voltage):
Phi
EC
Note 1 In versions with VT inputs, the residual voltage is available as a direct measure U
E
and computed measure U
EC
, while for versions with input from
ThySensor or when the input is employed for the synchrocheck function, the residual voltage is only available as a calculated measure U
EC
Note 2 The adjustment and display range of displacements are 0°... 359°
U12.ai
U
L1
U
12
=
U
L1
-
U
L2
U
12
U
23
U
31
U
23
=
U
L2
-
U
L3
U
31
=
U
L3
-
U
L1
U
L2
U
L2
U
L3
U
L1
U
L3
(
U
n
)
(
U
n
)
(
U
n
)
U
L1
U
12
U
31
U
23
U
L3
U
L2
UEC.ai
U
L1
U
EC
=
U
L1
+
U
L2
+
U
L3
U
EC
U
L3
U
L2
(
U
En
)
Theta.ai
I
L1
I
2
I
2
= (
I
L1
+ e
-j120°
I
L 2
+ e
+j120°
I
L 3
)
I
1
= (
I
L1
+ e
+j120°
I
L 2
+ e
-j120°
I
L 3
)
I
L3
I
L2
I
1
I
th
= √(
I
1
2
+
K
2
2
∙
I
2
2
)
∆
θ
(∆
θ
B
)
2
d∆
θ
dt
I
B
I
th
∆
θ
T+ T+
( )
+
=
Fase.ai
ϕ
L1
=
∠
I
L1
-
∠
U
L1
Phi
L1
,
Phi
L 2
,
Phi
L 3
Phi
E
Phi
EC
(
°
)
(
°
)
(
°
)
(
°
)
Alpha
L1
,
Alpha
L 2
,
Alpha
L 3
U
L1
ϕ
L 2
=
∠
I
L 2
-
∠
U
L 2
ϕ
L 3
=
∠
I
L 3
-
∠
U
L 3
ϕ
E
=
∠
U
E
-
∠
I
E
ϕ
E
=
∠
U
EC
-
∠
I
E
α
L1
=
∠
I
L1
-
∠
U
2 3
α
L 2
=
∠
I
L 2
-
∠
U
31
α
L 3
=
∠
I
L 3
-
∠
U
12
U
L2
U
L2
I
L1
I
L2
I
L3
U
E
U
EC
I
E
XMR-D EQUIPMENT MANUAL
Ed. 2.9 - 02/2021
