technical note - analog output

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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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    2

    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