technical note - analog output
TRANSCRIPT
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TECHNICAL NOTE
Analog Outputs
Introduction .....................................................................................................................2
Analog Output 4-20 mA ..................................................................................................3
Analog Output 0-20 mA ..................................................................................................4
Analog Output 0-1 mA ....................................................................................................5
Analog Output 1 mA......................................................................................................6
Analog Output 0-2 mA range (0-1 mA option with 100% overload) ...............................7
Analog Output 2 mA range (1 mA option with 100% overload)..................................8
Analog Output 0-3 mA range (0-1 mA option with 200% overload) ...............................9
Analog Output 3 mA range (1 mA option with 200% overload)................................10
Analog Output 0-5 mA range (0-1 mA option with 400% overload) .............................11
Analog Output 5 mA range (1 mA option with 400% overload)................................12
Calculation Examples ...................................................................................................13
BB0122 Rev. A2
Copyright 2002-2006 SATEC Ltd.
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IntroductionSATEC meters may be equipped with optional analog outputs that are programmable toprovide a current proportional to selected measured electrical parameters.
The devices can be ordered with one of the following analog output options:
0-20 mA 4-20 mA
0-1 mA/0-2 mA 0-1 mA option with 100% overload (regular 0-1 mA order)
1 mA/2 mA - 1 mA option with 100% overload (regular 1 mA order)
0-1 mA/0-3 mA 0-1 mA option with 200% overload (special 0-1 mA order)
1 mA /3 mA - 1 mA option with 200% overload (special 1 mA order)
0-1 mA/0-5 mA 0-1 mA option with 400% overload (special 0-1 mA order)
1 mA /5 mA - 1 mA option with 400% overload (special 1 mA order)
You can find complete setup instructions in the corresponding Installation and OperationManual for your meter. The purpose of this document is to provide guidelines for calculationof analog output currents and corresponding measured (real) parameters.
See the following tables for analog output scales and formulas for calculating analog outputcurrents. The default output scales can be changed via the analog output setup from themeter front panel or through the supplemental PAS software.
Note that the output scales for 0-1 mA and 1 mA analog outputs are always programmedfor 0 mA and +1 mA regardless of the ordered current overload option (100%, 200% or400%). If you wish to use the entire output range of 2 mA, 3 mA or 5 mA, depending on yourorder, set the analog output scales in your device as follows:
0-2 mA: set the 1 mA scale to 1/2 of the required full scale output for uni-directionalparameters, and set the 0 mA scale to the negative full scale and the 1 mA scale to zerofor bi-directional parameters.
2 mA: set the 1 mA scale to 1/2 of the required full-scale output for both uni-directionaland bi-directional parameters.
0-3 mA: set the 1 mA scale to 1/3 of the required full scale output for uni-directionalparameters, and set the 0 mA scale to the negative full scale and the 1 mA scale to 1/3 ofthe negative full scale for bi-directional parameters.
3 mA: set the 1 mA scale to 1/3 of the required full-scale output for both uni-directionaland bi-directional parameters.
0-5 mA: set the 1 mA scale to 1/5 of the required full scale output for uni-directionalparameters, and set the 0 mA scale to the negative full scale and the 1 mA scale to 1/5 ofthe negative full scale for bi-directional parameters.
5 mA: set the 1 mA scale to 1/5 of the required full-scale output for both uni-directional
and bi-directional parameters.
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Analog Output 4-20 mAParameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output current calculation,I AO , mA
Real (measured) parameter calcu
Voltage VNo PT
0 V (Low scale, V low)
1.2 690 = 828V (High scale, V high )
4 mA20 mA
Voltagevia PT
0 V (Low scale, V low)
144 K, V (High scale, V high )
4 mA20mA
4 V V
16) V V(I
LOWHIGH
LOWREAL AO +
=
16 V V()4I(
VLHIGH AO
REAL
=
Current I 0 A (Low scale, I low)
2 I p, A (High scale, I high )
4 mA20 mA
4II
16)II(ILOWHIGH
LOWREAL AO +
=
16
II()4I(I
LOWHIGH AOREAL
=
Signed powerfactor, PF
-0.0 (Low scale)-0.50-0.991.000.500.0 (High scale)
4 mA8 mA11.88 mA12 mA16 mA20 mA
For negative PF:I AO = 4 - PF REAL 8
For positive PF:I AO = 20 - PF REAL 8
If PF < 12mA:PFREAL=(4-I AO)/8
If PF 12mA:PFREAL= (20 - I AO)/8
Lag and leadpower factor,PF
0.00 (Low scale, PF low)
1.00 (High scale, PF high )
4 mA
20 mA4
PFPF
16)PFPF(I
LOWHIGH
LOWREAL AO +
=
16PF()4I(
PFHIGH AO
REAL
=
Frequency, f 0 Hz (Low scale, f low
)
100 Hz (High scale, f high )
4 mA
20 mA4f f
16)f f (I LOWHIGH
LOWREAL AO +
=
16 f f ()4f (
f LOHIGH AOREAL
=
Active powerkW, P
-(Vhigh Ihigh n), kW (Low scale, P low)
0 kW Vhigh I high n, kW (High scale, P high )
4 mA
12 mA
20 mA
416)(
+
=
PP
PPI
LOWHIGH
LOWREAL AO
16
PP()4I(P
LOWHIGH AOREAL
=
Reactivepower kvar, Q
As for active power 4QQ
16)QQ(I
LOWHIGH
LOWREAL AO +
=
16
QQ()4I(Q LOHIGH AOREAL
=
Apparentpower kVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/2, kVA
Vhigh I high n, kVA (High scale, S high )
4 mA12 mA20 mA
4SS
16)SS(I
LOWHIGH
LOWREAL AO +
=
16
SS()4I(S LOWHIGH AOREAL
=
Power demand As for apparent power
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Analog Output 0-20 mAParameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output current calculation,I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
1.2 690 = 828V (High scale, Vhigh
)
0 mA
20mA
Voltagevia PT
0 V (Low scale, V low)
144 K, V (High scale, V high )
0 mA
20mA
V V20) V V(
ILOWHIGH
LOWREAL AO
=
20 V V(I
V LOWHIGH AOREAL
=
Current, I 0 A (Low scale, I low)
2 Ip, A (High scale, I high )
0 mA
20mA II20)II(
ILOWHIGH
LOWREAL AO
=
20)II(I
I LOWHIGH AOREAL +
=
Signed powerfactor, PF
-0.0 (Low scale)-0.50-0.991.000.500.0 (High scale)
0 mA5 mA9.9 mA10 mA15 mA20mA
For negative PF:I AO = - PF REAL 10For positive PF:I AO = 20 -PF REAL 10
If PF < 10 mA:PFREAL= -I AO /10
If PF 10 mA:PFREAL= (20 - I AO)/10
Lag and leadpower factor, PF
0.00 (Low scale, PF low)
1.00 (High scale, PF high )
0 mA
20mA PFPF20)PFPF(
ILOWHIGH
LOWREAL AO
=
20
PFPF(IPF LOHIGH AOREAL
=
Frequency, f 0 Hz (Low scale, f low)100 Hz (High scale, f high )
0 mA20mA f f
20)f f
(I
LOWHIGHLOWREAL AO
=
20
)f f
(f f LOWHIGH AOREAL +
=
Active power, kW,P
-(Vhigh Ihigh n), kW (Low scale, P low)
0 kW Vhigh I high n, kW (High scale, P high )
0 mA
10 mA
20 mA
PP20)PP(
ILOWHIGH
LOWREAL AO
=
20
)PP(IP LOWHIGH AOREAL +
=
Reactive powerkvar, Q
As for active powerQQ
20)QQ(I
LOWHIGH
LOWREAL AO
=
20
)QQ(IQ LOWHIGH AOREAL +
=
Apparent powerkVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/2, kVA
Vhigh I high n, kVA (High scale, S high )
0 mA
10 mA
20 mA
SS20)SS(
ILOWHIGH
LOWREAL AO
=
20SS(I
S LOWHIGH AOREAL
=
Power demand As for apparent power
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Analog Output 0-1 mAParameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, V
No PT
0 V (Low scale, V low)
1.2 690 = 828V (High scale, V high )
0 mA
1 mA Voltage, Vvia PT
0 V (Low scale, V low)
144 K, V (High scale, V high )
0 mA
1 mA
V V
V VI
LOWHIGH
LOWREAL AO
=
VREAL= I AO
(VHIGH - VLOW) + V LOW
Current, I 0 A (Low scale, I low)
2 Ip, A (High scale, I high )
0 mA
1 mA IIIIILOWHIGH
LOWREAL AO
=
IREAL= I AO (I HIGH - I LOW) + I LOW
Signed powerfactor, PF
-0.0 (Low scale)-0.50-0.991.000.500.0 (High scale)
0 mA0.25 mA0.495 mA0.5 mA0.75 mA1 mA
For negative PF:I AO = - PF REAL 0.5For positive PF:I AO = 1 - PF REAL 0.5
If PF < 0.5 mA:PFREAL = -I AO 2
If PF 0.5 mA:PFREAL= (1- I AO) 2
Lag and leadpower factor, PF
0.00 (Low scale, PF low)
1.00 (High scale, PF high )
0 mA
1 mA PFPFPFPF
ILOWHIGH
LOWREAL AO
=
PFREAL= I AO (PF HIGH - PFLOW) + PF
Frequency, f 0 Hz (Low scale, f low)100 Hz (High scale, f high )
0 mA1 mA f f
f f ILOWHIGH
LOWREAL AO
= f REAL= I AO (f HIGH - f LOW) + f LOW
Active power, kW,P
-(Vhigh Ihigh n), kW (Low scale, P low)
0 kW Vhigh I high n, kW (High scale, P high )
0 mA
0.5 mA
1 mA
PPPP
ILOWHIGH
LOWREAL AO
= PREAL= I AO (P HIGH - P LOW) + P LOW
Reactive powerkvar, Q
As for active powerQQQQ
ILOWHIGH
LOWREAL AO
=
QREAL= I AO (Q HIGH - QLOW) + Q LOW
Apparent powerkVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/2, kVA
Vhigh I high n, kVA (High scale, S high )
0 mA
0.5 mA
1 mA
SSSS
ILOWHIGH
LOWREAL AO
= SREAL= I AO (S HIGH - S LOW) + S LOW
Power demand As for apparent power
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Analog Output 1 mAParameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput, mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
1.2 690 = 828V (High scale, Vhigh
)
0 mA
1 mA
Voltage, Vvia PT
0 V (Low scale, V low)
144 K, V (High scale, V high )
0 mA
1 mA
V V V V
ILOWHIGH
LOWREAL AO
=
VREAL= I AO (VHIGH - VLOW) +
Current I 0 A (Low scale, I low)
2 Ip, A (High scale, I high )
0 mA
1 mA IIII
ILOWHIGH
LOWREAL AO
=
IREAL= I AO (I HIGH - I LOW) + I
Signed powerfactor, PF
-0.0-0.50-0.991.00 (Low scale)0.500.0 (High scale)
-1 mA-0.5 mA-0.01 mA0 mA0.5 mA1 mA
For negative PF:I AO = -1 - PF REAL For positive PF:I AO = 1 - PF REAL
If PF < 0 mA:PFREAL= -1 - I AO
If PF 0 mA:PFREAL= 1- I AO
Lag and leadpower factor, PF
0.00 (Low scale, PF low)
1.00 (High scale, PF high )
0 mA1 mA PFPF
PFPFI
LOWHIGH
LOWREAL AO
= PFREAL= I AO (PF HIGH - PFLO
Frequency, f 0 Hz (Low scale, f low
)
100 Hz (High scale, f high )
0 mA1 mA f f
f f I
LOWHIGH
LOWREAL AO
= f REAL= I AO (f HIGH - f LOW) + f
Active power,kWP
-(Vhigh Ihigh n), kW (P low)
0 kW (Low scale) Vhigh I high n, kW (High scale, P high )
-1 mA
0 mA
1 mA
1PP
2)PP(I
LOWHIGH
LOWREAL AO
= PREAL= (I AO + 1) (P HIGH - P
Reactive powerkvar, Q
As for active power1
QQ
2)QQ(I
LOWHIGH
LOWREAL AO
=
QREAL= (I AO + 1) (Q HIGH - Q
Apparent powerkVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/2, kVA
Vhigh I high n, kVA (High scale, S high )
0 mA
0.5 mA
1 mA
SSSS
ILOWHIGH
LOWREAL AO
= SREAL= I AO (S HIGH - S LOW) +
Accumulatedpower demands
As for apparent power
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Analog Output 0-2 mA range (0-1 mA option with 100% overload)Parameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
(1.2
690)/2 = 414V (High scale)1.2 690 = 828V (V high )
0 mA
1 mA2 mA
Voltage, Vvia PT
0 V (Low scale, V low)
(144 K)/2, V (High scale)144 K, V (Vhigh )
0 mA
1 mA
2 mA
V V
2) V V(I
LOWHIGH
LOWREAL AO
=
V
2) V V(I V L
LOWHIGH AOREAL +
=
Current I 0 A (Low scale, I low)
(2 I p)/2, A (High scale)
2 Ip, A (I high )
0 mA
1 mA
2 mA
II
2)II(I
LOWHIGH
LOWREAL AO
=
I
2
)II(II LOWHIGH AOREAL +
=
Signed powerfactor, PF
-0.0 (Low scale)-0.501.00 (High scale)0.500.0
0 mA0.5 mA1 mA1.5 mA2 mA
For negative PF:I AO = - PF REAL For positive PF:I AO = 2 - PF REAL
If PF< 1.0 mA:PFREAL= -I AO
If PF 1.0 mA:PFREAL= 2 - I AO
Lag and leadpower factor, PF
0.00 (Low scale, PF low)0.50 (High scale)1.00 (PF high )
0 mA1 mA
2 mA
PFPF2)PFPF(I
LOWHIGHLOWREAL AO
= 2
)PFPF(IPF LOWHIGH AOREAL +=
Frequency, f 0 Hz (Low scale, f low)
50 Hz (High scale)100 Hz (f high )
0 mA
1 mA
2 mA
f f
2)f f (I
LOWHIGH
LOWREAL AO
=
f
2
)f f (f f L
LOWHIGH AOREAL +
=
Active powerkW, P
-(Vhigh Ihigh n), kW (Low scale, P low)
0 kW (High scale) Vhigh I high n, kW (P high )
0 mA
1 mA
2 mA
PP
2)PP(I
LOWHIGH
LOWREAL AO
=
P
2
)PP(IP LOWHIGH AOREAL +
=
Reactive powerkvar, Q
As for active powerQQ
2)QQ(I
LOWHIGH
LOWREAL AO
=
Q
2
)QQ(IQ LOWHIGH AOREAL +
=
Apparent power
kVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/2, kVA, (High scale) Vhigh I high n, kVA (S high )
0 mA
1 mA2 mA
SS
2)SS(I
LOWHIGH
LOWREAL AO
=
S
2
)SS(IS L
LOWHIGH AOREAL +
=
Power demand As for apparent power
For using the entire output range of 2 mA, set the 1 mA scale in your device to 1/2 of the required full scale output for uni-directional parameters, and set the 0full scale and the 1 mA scale to zero for bi-directional parameters.
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Analog Output 2 mA range (1 mA option with 100% overload)Parameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
(1.2 690)/2 = 414V (High scale)
1.2 690 = 828V (V high )
0 mA
1 mA
2 mA
Voltagevia PT
0 V (Low scale, V low)
(144 K)/2, V (High scale)144 K, V (Vhigh )
0 mA
1 mA
2 mA
V V
2) V V(I
LOWHIGH
LOWREAL AO
=
V
2) V V(I V L
LOWHIGH AOREAL +
=
Current I 0 A (Low scale, I low)
(2 I p)/2, A (High scale)
2 I p, A (I high )
0 mA
1 mA
2 mA
II
2)II(I
LOWHIGH
LOWREAL AO
=
2
)II(II LOWHIGH AOREAL +
=
Signed powerfactor, PF
-0.0-0.501.00 (Low scale)0.50 (High scale)0.0
-2 mA-1 mA0 mA1 mA2 mA
For negative PF:I AO = -2 (1 + PF REAL)For positive PF:I AO = 2 (1 - PF REAL)
If PF < 0 mA:PFREAL= -1 - I AO /2
If PF 0 mA:PFREAL= 1 - I AO /2
Lag and leadpower factor, PF 0.00 (Low scale, PF low)0.50 (High scale)1.00 (PF high )
0 mA1 mA
2 mA
PFPF2)PFPF(I
LOWHIGHLOWREAL AO
=
2)PFPF(IPF LOWHIGH AOREAL +=
Frequency, f 0 Hz (Low scale, f low)
50 Hz (High scale)100 Hz (f high )
0 mA
1 mA
2 mA
f f
2)f f (I
LOWHIGH
LOWREAL AO
=
f
2
)f f (f f L
LOWHIGH AOREAL +
=
Active power,kW, P
-(Vhigh Ihigh n), kW (P low)
0 kW, (Low scale)(Vhigh I high n)/2, kW (High scale)
Vhigh I high n, kW (P high )
-2 mA
0 mA
1 mA
2 mA
2PP
4)PP(I
LOWHIGH
LOWREAL AO
= PREAL= (I AO + 2) (P HIGH - P LOW)
Reactive powerkvar, Q
As for active power2
QQ
4)QQ(I
LOWHIGH
LOWREAL AO
=
QREAL= (I AO + 2) (Q HIGH - Q LOW
Apparent powerkVA, S 0 kVA (Low scale, S low)(Vhigh I high n)/2, kVA, (High scale)
Vhigh I high n, kVA (S high )
0 mA1 mA
2 mA
SS
2)SS
(I
LOWHIGHLOWREAL AO
=
S
2
)SS
(IS LOWHIGH AOREAL +
=
Power demand As for apparent power
For using the entire output range of 2 mA, set the 1 mA scale in your device to 1/2 of the required full scale output for both uni-directional and bi-directional
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Analog Output 0-3 mA range (0-1 mA option with 200% overload)Parameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
(1.2
690)/3 = 414V (High scale)1.2 690 = 828V (V high )
0 mA
1 mA3 mA
Voltage, Vvia PT
0 V (Low scale, V low)
(144 K)/3, V (High scale)144 K, V (Vhigh )
0 mA
1 mA
3 mA
V V
3) V V(I
LOWHIGH
LOWREAL AO
=
V
3) V V(I V LOWHIGH AOREAL +
=
Current I 0 A (Low scale, I low)
(2 I p)/3, A (High scale)
2 Ip, A (I high )
0 mA
1 mA
3 mA
II
3)II(I
LOWHIGH
LOWREAL AO
=
I3
)II(II LOWHIGH AOREAL +
=
Signed powerfactor, PF
-0.0 (Low scale)-0.50-0.667 (High scale)1.000.50
0.0
0 mA0.75 mA1 mA1.5 mA2.25 mA
3 mA
For negative PF:I AO = -PF REAL 3/2For positive PF:I AO = 3 - PF REAL 3/2
If PF< 1.5 mA:PFREAL= -I AO 2/3
If PF 1.5 mA:PFREAL= (3 - I AO) 2/3
Lag and leadpower factor, PF
0.00 (Low scale, PF low)
0.333 (High scale)1.00 (PF high )
0 mA
1 mA
3 mA
PFPF
3)PFPF(I
LOWHIGH
LOWREAL AO
=
3
)PFPF(IPF LOWHIGH AOREAL +
=
Frequency, f 0 Hz (Low scale, f low)
33 Hz (High scale)99 Hz (f high )
0 mA
1 mA
3 mA
f f
3)f f (I
LOWHIGH
LOWREAL AO
=
f
3)f f (f
f LOLOWHIGH AO
REAL +
=
Active powerkW, P
-(Vhigh Ihigh n), kW (Low scale, P low)
-(Vhigh I high n)/3, kW (High scale)
0 kW Vhigh I high n, kW (P high )
0 mA
1 mA
1.5 mA
3 mA
PP
3)PP(I
LOWHIGH
LOWREAL AO
=
P
3)PP(I
P LOWHIGH AOREAL +
=
Reactive powerkvar, Q
As for active powerQQ
3)QQ(I
LOWHIGH
LOWREAL AO
= Q
3)QQ(I
Q LOWHIGH AOREAL +
=
Apparent powerkVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/3, kVA, (High scale)
Vhigh I high n, kVA (S high )
0 mA
1 mA
3 mA
SS
3)SS(I
LOWHIGH
LOWREAL AO
=
S
3)SS(I
S LLOWHIGH AO
REAL +
=
Power demand As for apparent power
For using the entire output range of 3 mA, set the 1 mA scale in your device to 1/3 of the required full scale output for uni-directional parameters, and set the 0full scale and the 1 mA scale to 1/3 of the negative full scale for bi-directional parameters.
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Analog Output 3 mA range (1 mA option with 200% overload)Parameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
(1.2 690)/3 = 414V (High scale)
1.2 690 = 828V (V high )
0 mA
1 mA
3 mA
Voltagevia PT
0V (Low scale, V low)
(144 K)/3, V (High scale)144 K, V (Vhigh )
0 mA
1 mA
3 mA
V V
3) V V(I
LOWHIGH
LOWREAL AO
=
V
3) V V(I V LOWHIGH AOREAL +
=
Current I 0 A (Low scale, I low)
(2 Ip)/3, A (High scale)
2 I p, A (I high )
0 mA
1 mA
3 mA
II
3)II(I
LOWHIGH
LOWREAL AO
=
3
)II(II LOWHIGH AOREAL +
=
Signed powerfactor, PF
-0.0-0.6671.00 (Low scale)0.667 (High scale)0.0
-3 mA-1 mA0 mA1 mA3 mA
For negative PF:I AO = -3 (1 + PF REAL)For positive PF:I AO = 3 (1 - PF REAL)
If PF < 0 mA:PFREAL= -1 - I AO /3
If PF 0 mA:PFREAL= 1 - I AO /3
Lag and leadpower factor, PF 0.00 (Low scale, PF low)0.333 (High scale)1.00 (PF high )
0 mA1 mA
3 mA
PFPF3)PFPF(I
LOWHIGHLOWREAL AO
= 3 )PFPF(IPF
LOWHIGH AOREAL +=
Frequency, f 0 Hz (Low scale, f low)
33 Hz (High scale)99 Hz (f high )
0 mA
1 mA
3 mA
f f
3)f f (I
LOWHIGH
LOWREAL AO
=
f
3)f f (f
f LLOWHIGH AO
REAL +
=
Active power,kW, P
-(Vhigh Ihigh n), kW (P low)
0 kW, (Low scale)(Vhigh I high n)/3, kW (High scale)
Vhigh I high n, kW (P high )
-3 mA
0 mA
1 mA
3 mA
3PP
6)PP(I
LOWHIGH
LOWREAL AO
= PREAL= (I AO + 3) (P HIGH - P LOW)
Reactive powerkvar, Q
As for active power3
QQ
6)QQ(I
LOWHIGH
LOWREAL AO
=
QREAL= (I AO + 3) (Q HIGH - QLOW
Apparent powerkVA, S 0 kVA (Low scale, S low)(Vhigh I high n)/3, kVA, (High scale)
Vhigh I high n, kVA (S high )
0 mA1 mA
3 mA
SS
3)SS
(I
LOWHIGHLOWREAL AO
=
S3
)SS
(IS LOWHIGH AOREAL +
=
Power demand As for apparent power
For using the entire output range of 3 mA, set the 1 mA scale in your device to 1/3 of the required full scale output for both uni-directional and bi-directional
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Analog Output 0-5 mA range (0-1 mA option with 400% overload)Parameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
(1.2
690)/5 = 165.6V (High scale)1.2 690 = 828V (V high )
0 mA
1 mA5 mA
Voltage, Vvia PT
0 V (Low scale, V low)
(144 K)/5, V (High scale)144 K, V (Vhigh )
0 mA
1 mA
5 mA
VVVV
ILOWHIGH
LOWREAL AO
)(
=
5 V
VVIV L
LOWHIGH AOREAL
)(+
=
5
Current I 0 A (Low scale, I low)
(2 I p)/5, A (High scale)
2 Ip, A (I high )
0 mA
1 mA
5 mA
IIII
ILOWHIGH
LOWREAL AO
)(
=
5 I
IIII LOW
LOWHIGH AOREAL
)(+
=
5
Signed powerfactor, PF
-0.0 (Low scale)-0.4 (High scale)-0.501.000.50
0.0
0 mA1 mA1.25 mA2.5 mA3.75 mA
5 mA
For negative PF:I AO = -PF REAL 5/2For positive PF:I AO = 5 - PF REAL 5/2
If PF< 2.5 mA:PFREAL= -I AO 2/5
If PF 2.5 mA:PFREAL= (5 - I AO) 2/5
Lag and leadpower factor, PF
0.00 (Low scale, PF low)
0.200 (High scale)1.00 (PF high )
0 mA
1 mA
5 mA
PFPFPFPF
ILOWHIGH
LOWREAL AO
)(
=
5 PFPFIPF
LOWHIGH AOREAL
)(+
=
5
Frequency, f 0 Hz (Low scale, f low)
20 Hz (High scale)100 Hz (f high )
0 mA
1 mA
5 mA
f f f f
ILOWHIGH
LOWREAL AO
)(
=
5 f
f f f f LOW
LOWHIGH AOREAL
)(+
=
5
Active powerkW, P
-(Vhigh Ihigh n), kW (Low scale, P low)
-(Vhigh I high n)/5, kW (High scale)
0 kW Vhigh I high n, kW (P high )
0 mA
1 mA
2.5 mA
5 mA
PPPP
ILOWHIGH
LOWREAL AO
)(
=
5 P
PPIP L
LOWHIGH AOREAL
)(+
=
5
Reactive powerkvar, Q
As for active powerQQ
QQI
LOWHIGH
LOWREAL AO
)(
=
5 Q
QQIQ
LOWHIGH AOREAL
)(+
=
5
Apparent powerkVA, S
0 kVA (Low scale, S low)
(Vhigh I high n)/5, kVA, (High scale)
Vhigh I high n, kVA (S high )
0 mA
1 mA
5 mA
SSSS
ILOWHIGH
LOWREAL AO
)(
=
5 S
SSIS L
LOWHIGH AOREAL
)(+
=
5
Power demand As for apparent power
For using the entire output range of 5 mA, set the 1 mA scale in your device to 1/5 of the required full scale output for uni-directional parameters, and set the 0full scale and the 1 mA scale to 1/5 of the negative full scale for bi-directional parameters.
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Analog Output 5 mA range (1 mA option with 400% overload)Parameter Programmable scales (Low scale and
High scale), output limits (low andhigh) and typical points, natural units
Analogoutput,mA
Output currentcalculation, I AO , mA
Real (measured) parametercalculation
Voltage, VNo PT
0 V (Low scale, V low)
(1.2 690)/5 = 165.6V (High scale)
1.2 690 = 828V (V high )
0 mA
1 mA
5 mA
Voltagevia PT
0V (Low scale, V low)
(144 K)/5, V (High scale)144 K, V (Vhigh )
0 mA
1 mA
5 mA
VVVV
ILOWHIGH
LOWREAL AO
)(
=
5 V
VVIV
LOWHIGH AOREAL
)(+
=
5
Current I 0 A (Low scale, I low)
(2 Ip)/5, A (High scale)
2 I p, A (I high )
0 mA
1 mA
5 mA
IIII
ILOWHIGH
LOWREAL AO
)(
=
5 I
IIII LO
LOWHIGH AOREAL
)(+
=
5
Signed powerfactor, PF
-0.0-0.6671.00 (Low scale)0.667 (High scale)0.0
-5 mA-1 mA0 mA1 mA5 mA
For negative PF:I AO = -5 (1 + PF REAL)For positive PF:I AO = 5 (1 - PF REAL)
If PF < 0 mA:PFREAL= -1 - I AO /5
If PF 0 mA:PFREAL= 1 - I AO /5
Lag and leadpower factor, PF 0.00 (Low scale, PF low)0.333 (High scale)1.00 (PF high )
0 mA1 mA
5 mA
PFPFPFPFI
LOWHIGHLOWREAL AO )(
= 5 PFPFIPF LOWHIGH AOREAL )( +
=
5
Frequency, f 0 Hz (Low scale, f low)
20 Hz (High scale)100 Hz (f high )
0 mA
1 mA
5 mA
f f f f
ILOWHIGH
LOWREAL AO
)(
=
5 f
f f f f LO
LOWHIGH AOREAL
)(+
=
5
Active power,kW, P
-(Vhigh Ihigh n), kW (P low)
0 kW, (Low scale)(Vhigh I high n)/5, kW (High scale)
Vhigh I high n, kW (P high )
-5 mA
0 mA
1 mA
5 mA
510
=
PPPP
ILOWHIGH
LOWREAL AO
)( PREAL= (I AO + 5) (P HIGH - P LOW)
Reactive powerkvar, Q
As for active power 510
=
QQQQ
ILOWHIGH
LOWREAL AO
)( QREAL= (I AO + 5) (Q HIGH - QLOWQLOW
Apparent powerkVA, S
0 kVA (Low scale, Slow
)
(Vhigh I high n)/5, kVA, (High scale)
Vhigh I high n, kVA (S high )
0 mA
1 mA
5 mA
SSSS
I LOWHIGHLOWREAL
AO
)(
=
5 S
SSIS
LOWHIGH AOREAL
)(+
= 5
Power demand As for apparent power
For using the entire output range of 5 mA, set the 1 mA scale in your device to 1/5 of the required full scale output for both uni-directional and bi-directional
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Calculation Examples
Example 1
The meter is installed on a 24 kV power line with 400:5A current transformers and24,000:120V potential transformers:
Ip = CT primary current = 400A and 3-phase
K = PT ratio = 24000/120 = 200.
Wiring configuration is 4Ln3, n = 3.
The full-scale analog output ranges are as fol lows:
Voltage:
Low voltage V low = 0 V.
High voltage V high = 144 K=144 200 = 28800 V.
Current:
Low current I low (0 or 4 mA) = 0 A,
High current I high = 2 Ip = 2 400 = 800 A
Active and reactive power:
Low power P low = - n Vhigh Ihigh /1000 = -3 28800 800/1000 = -69,120 kW (kvar)
High power P high = n Vhigh Ihigh /1000 = 3 28800 800/1000 = 69,120 kW (kvar)
The programmable analog output scales should be as follow s:
Voltage:
Low scale, 0 mA/4 mA (all ranges): 0 V.
High scale, 1 mA/20 mA (4-20 mA, 0-20 mA, 0-1mA, 1 mA ranges): V high = 28800 V.
High scale, 1 mA (0-2 mA, 2 mA ranges): V high /2 = 28800/2 = 14400 V.
High scale, 1 mA (0-3 mA, 3 mA ranges): V high /3 = 28800/2 = 9600 V.
Current:
Low scale, 0 mA/4 mA (all ranges): 0 A.
High scale, 1 mA/20 mA (4-20 mA, 0-20 mA, 0-1mA, 1 mA ranges): I high = 800 A.
High scale, 1 mA (0-2 mA, 2 mA ranges): I high /2 = 800/2 = 400 A.
High scale, 1 mA (0-3 mA, 3 mA ranges): I high /3 = 800/3 = 267 A.
Active and reactive power:
Low scale, 0 mA/4 mA (4-20 mA, 0-20 mA, 0-1 mA, 0-2 mA, 0-3 mA ranges): P low =-69,120 kW (kvar).
Low scale, 0 mA (1 mA, 2 mA, 3 mA range): P low = 0 kW (kvar).
High scale, 1 mA/20 mA (4-20 mA, 0-20 mA, 0-1mA, 1 mA ranges): P high = 69,120 kW(kvar).High scale, 1 mA (0-2 mA range): 0 kW (kvar).
High scale, 1 mA (2 mA range): P high /2 = 69,120/2 = 34560 kW (kvar).
High scale, 1 mA (0-3 mA range): P low /3 = -69,120/3 = -11520 kW (kvar).
High scale, 1 mA (3 mA range): P high /3 = 69,120/3 = 11520 kW (kvar).
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Example 2
The meter with regular 1 mA analog outputs (100% overload) is installed on the power lineof Example 1. The analog outputs are programmed in the meter for the 1 mA output range.
What should the analog output currents be if the instrument shows the following measuredreal) quantities?
Voltage = 24,800 VCurrent = 460A Active power P TOTAL = 17170 kW Apparent power S TOTAL = 19736 kVA
The output curr ents would be as follow s:
Voltage output: 0.861mA028800024800
VVVV
ILOWHIGH
LOWREAL AO =
=
=
Current output: mA 575.008000460
IIII
ILOWHIGH
LOWREAL AO =
=
=
Active power output: mA 248.01)69120(69120
2))69120(17170((1
PP
2)PP(I
LOWHIGH
LOWREAL AO =
=
=
Apparent power output: mA 286.0069120019736
SSSS
ILOWHIGH
LOWREAL AO =
=
=
Example 3
The meter with regular 1 mA analog outputs (100% overload) is installed on the power lineof Example 1. The analog outputs are programmed in the meter for the 2 mA output range.
What should the analog output currents be if the instrument shows the measured real)quantities like in Example 2?
The output curr ents would be as follow s:
Voltage output: mA.722028800
20)(24800
VV
V(VI
LOWHIGH
LOWREAL AO 1
2)=
=
=
Current output: mA 15.10800
2)0460(
II
II(I
LOWHIGH
2)LOWREAL AO =
=
=
Active power output: mA 497.02)69120(69120
4))69120(17170((2
PP
4)PP(I
LOWHIGH
LOWREAL AO =
=
=
Apparent power output: mA 571.00691202)019736(
SS
SS(I
LOWHIGH
2)LOWREAL AO =
=
=
Example 4The meter with regular 1 mA analog outputs (100% overload) is installed on the power lineof Example 1. The analog outputs are programmed in the meter for the 2 mA output range.
Which real electrical quantities does the meter measure if the analog output currents are asfollows?
Voltage analog output I AO1 = 0.861 mA
Current analog output I AO2 = 1.15 mA
Active power analog output I AO3 = 0.497 mA
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Apparent power analog output I AO4 = 0.571 mA
The meter readings w ould be as follows:
Measured voltage: V REAL = I AO (VHIGH - VLOW )/2 + V LOW = 0.861 (28800 - 0)/2 + 0= 12398 V
Measured current: I REAL = I AO (IHIGH - ILOW )/2 + I LOW = 1.15 (800 - 0)/2 + 0 = 460 A
Measured active power: P REAL = (I AO + 2) (P HIGH - P LOW )/4 + P LOW = (0.497 + 2) (69120 (-69120))/4 + (-69120) =17176 kW
Measured apparent power: S REAL = I AO (S HIGH - S LOW )/2 + S LOW = 0.571 (69120 - 0)/2 + 0 =19734 kVA