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Specifications, Accuracy – Atec Yokogawa-WT1800 User Manual

Page 15

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Specifications

Specifications

Specifications

16

Measurement function (

(

for each connected unit (

function) obtained fo

)

(

∑ A, ∑ B, ∑ C))

Item

Symbol and Meaning

g

Voltage (V)

Urms

∑ : True RMS value, Umn ∑ : Rectifi ed mean value calibrated to the RMS value, Udc

∑ : Simple mean value, Urmn: Rectifi ed mean value, Uac ∑ : AC component

Current (A)

Irms

∑ : True RMS value, Imn ∑ : Rectifi ed mean value calibrated to the RMS value,

Idc

∑ : Simple mean value, Irmn ∑ : Rectifi ed mean value, Iac ∑ : AC component

Active power (W)

P

Apparent power (VA)

S

Reactive power (var)

Q

Power factor

λ∑

Corrected power (W)

Pc

Applicable standards IEC76-1 (1976), IEC76-1 (1993)

Integration

Time

∑ : Integration time

WP

∑ : Sum of the amount of both positive and negative power

WP+

∑ : Sum of positive P (amount of power consumed)

WP-

∑ : Sum of negative P (amount of power returned to the grid)

q

∑ : Sum of the amount of both positive and negative current

q+

∑ : Sum of positive I (amount of current)

q-

∑ : Sum of negative I (amount of current)

WS

∑ : Integration of S ∑

WQ

∑ : Integration of Q ∑

Harmonic Measurement (Option)

Measurement function obtained for each input element

Item

Symbol and Meaning

g

Voltage (V)

U (k): RMS value of the harmonic voltage of order k

*1

,

U: Voltage RMS value (Total value

*2

)

Current (A)

I (k): RMS value of the harmonic current of order k,
I: Current RMS value (Total value)

Active power (W)

P (k): Active power of the harmonic of order k, P: Active power (Total value)

Apparent power (VA)

S (k): Apparent power of the harmonic of order k,
S: Total apparent power (Total value)

Reactive power (var)

Q (k): Reactive power of the harmonic of order k,
Q: Total reactive power (Total value)

Power factor

λ (k): Power factor of the harmonic of order k,

λ : Total power factor (Total value)

Phase angle (°)

Ø (k): Phase angle between the harmonic voltage and current of order k,
Ø: Total phase angle
Ø U (k): Phase angle of each harmonic voltage U (k) relative to the fundamental wave U (1)
Ø I (k): Phase angle of each harmonic current I (k) relative to the fundamental wave I (1)

Impedance of the load circuit (

1)

Z (k): Impedance of the load circuit for the harmonic of order k

Resistance and reactance of the load circuit (

1)

Rs (k): Resistance of the load circuit to the harmonic of order k when the resistance R,

the inductance L, and the capacitor C are connected in series

Xs (k): Reactance of the load circuit to the harmonic of order k when the resistance R,

the inductance L, and the capacitor C are connected in series

Rp (k): Resistance of the load circuit to the harmonic of order k when the resistance R,

the inductance L, and the capacitor C are connected in parallel

Xp (k): Reactance of the load circuit to the harmonic of order k when the resistance R,

the inductance L, and the capacitor C are connected in parallel

Harmonic content [%] Uhdf (k): Ratio of the harmonic voltage U (k) to U (1) or U

Ihdf (k): Ratio of the harmonic current I (k) to I (1) or I
Phdf (k): Ratio of the active harmonic power P (k) to P (1) or P

Total harmonic distortion [%]

Uthd: Ratio of the total harmonic

*3

voltage to U (1) or U

Ithd: Ratio of the total harmonic current to I (1) or I
Pthd: Ratio of the total harmonic active power to P (1) or P

Telephone harmonic factor

Uthf: Voltage telephone harmonic factor, Ithf: Current telephone harmonic factor
Applicable standard: IEC34-1 (1996)

Telephone infl uence factor

Utif: Voltage telephone infl uence factor, Itif: Current telephone infl uence factor
Applicable standard: IEEE Std 100 (1996)

Harmonic voltage factor

*4

hvf: harmonic voltage factor

Harmonic current factor

*4

hcf: harmonic current factor

K-factor

Ratio of the sum of the squares of weighted harmonic components to the sum of the
squares of the orders of harmonic current

*1: Order k is an integer in the range from 0 to the upper limit value for the measured order. The 0th order is a

DC current component (dc). The upper limit value for the measured order is automatically determined up to
the 500th order depending on the frequency of the PLL source.

*2: The total value is calculated by obtaining the fundamental wave (the 1st order ) and all harmonic

components (from the 2nd order to the upper limit value for the measured order). Also, the DC component (dc)
can be added to the equation.

*3: The total harmonic is calculated by obtaining the total harmonic component (from the 2nd order to the upper

limit value for the measured order)

*4: The equations may vary depending on the defi nitions in the standards, etc. Check the standards for details.

Measurement function indicating the phase difference of the fundamental wave between the voltage
and current between input elements
This is a measurement function indicating the phase angle of the fundamental wave U (1) or I (1) of another
element to the fundamental wave U(1) of the element with the smallest number among input elements assigned
to the connected unit. The following table shows measurement functions for the connected unit with a
combination of the elements 1, 2, and 3.

Item

Symbol and Meaning

g

Phase angle U1-U2 (°) ØU1-U2: Phase angle of the fundamental wave (U2 (1)) of the voltage of the element

2 to the fundamental wave (U1 (1)) of the voltage of the element 1

Phase angle U1-U3 (°) ØU1-U3: Phase angle of the fundamental wave (U3 (1)) of the voltage of the element

3 to U1 (1)

Phase angle U1-I1 (°) ØU1-I1: Phase angle of the fundamental wave (I1 (1)) of the current of the element 1

to U1 (1)

Phase angle U2-I2 (°) ØU2-I2: Phase angle of the fundamental wave (I2 (1)) of the current of the element 2

to U2 (1)

Phase angle U3-I3 (°) ØU3-I3: Phase angle of the fundamental wave (I3 (1)) of the current of the element 3

to U3 (1)

EaU1 to EaU6 (°), EaI1 to EaI6 (°)

Phase angle Ø of the fundamental waves of U1 to I6 based on the rise of the Z terminal
input in the motor evaluation function (option).
N is the set value for the number of poles in the motor evaluation function.

Measurement function ((

∑ function) obtained for each connected unit (

)

(

∑ A, ∑ B, ∑ C))

Item

Symbol and Meaning

g

Voltage (V)

U

∑ (1): RMS of the harmonic voltage of order 1, U ∑ : RMS of the voltage (Total value

*1

)

Current (A)

I

∑ (1): RMS of the harmonic current of order 1, I ∑ : RMS of the current (Total value)

Active power (W)

P

∑ (1): Harmonic active power of order 1, P ∑ : Total active power (Total value)

Apparent power (VA)

S

∑ (1): Harmonic apparent power of order 1, S ∑ : Total apparent power (Total value)

Reactive power (var)

Q

∑ (1): Harmonic reactive power of order 1, Q ∑ : Total reactive power (Total value)

Power factor

λ ∑ (1): Harmonic power factor of order 1, λ ∑ : Total power factor (Total value)

*1: The total value is calculated by obtaining the fundamental wave (the 1st order ) and all harmonic
components (from the 2nd order to the upper limit value for the measured order). Also, the DC component (dc)
can be added to the equation.

Delta Calculation (Option)

Item

Delta Calculation Setting

g

Symbol and Meaning

g

Voltage (V)

difference

Δ U1: Differential voltage between u1 and u2 determined
by computation

3P3W->3V3A

Δ U1: Line voltage that is not measured but can be
computed for a three-phase, three-wire system

DELTA->STAR

Δ U1, Δ U2, Δ U3: Phase voltage that can be computed
by a three-phase, three-wire (3V3A) system

Δ U ∑ = (Δ U1 + Δ U2 + Δ U3)/3

STAR->DELTA

Δ U1, Δ U2, Δ U3: Line voltage that can be computed
for a three-phase, four-wire system

Δ U ∑ = (Δ U1 + Δ U2 + Δ U3)/3

Current (A)

difference

Δ I1: Differential current between i1 and i2 determined
by computation

3P3W->3V3A

Δ I: Phase current that is not measured

DELTA->STAR

Δ I: Neutral line current

STAR->DELTA

Δ I: Neutral line current

Power (W)

difference

---

3P3W->3V3A

---

DELTA->STAR

Δ U1, Δ U2, Δ U3: Phase power determined by
computation for a three-phase, three-line (3V3A) system

Δ P ∑ = Δ P1 + Δ P2 + Δ P3

STAR->DELTA

---

Waveform/Trend

Item

Specification

Waveform display

Displays the waveforms of the voltage and current from elements 1 through 6, torque,
speed, AUX1, and AUX2.

Trend display

Displays trends in numerical data of the measurement functions in a sequential line
graph.
Number of measurement channels: Up to 16 parameters

Bar Graph/Vector (Option)

Item

Specification

Bar graph display

Displays the size of each harmonic in a bar graph.

Vector display

Displays the vector of the phase difference in the fundamental waves of voltage and
current.

Accuracy

Voltage and Current

Item

Specification

Accuracy (six-month) Conditions

Temperature: 23±5°C, Humidity: 30 to 75%RH, Input waveform: Sine wave,
Power factor (

λ): 1, Common mode voltage: 0 V, Crest factor: 3, Line fi lter: OFF

Frequency fi lter: 1 kHz or less when ON, after warm-up.
After zero level compensation or range value changed while wired. The unit of f within
the accuracy equation is kHz.

Voltage
Frequency

Accuracy
±(Measurement reading error + Setting range error)

DC

±(0.05% of reading + 0.1% of range)

0.1 Hz

) f < 10 Hz

±(0.1% of reading + 0.2% of range)

10 Hz

) f < 45 Hz

±(0.1% of reading + 0.1% of range)

45 Hz

) f ) 66 Hz

±(0.1% of reading + 0.05% of range)

66 Hz < f

) 1 kHz

±(0.1% of reading + 0.1% of range)

1 kHz < f

) 50 kHz

±(0.3% of reading + 0.1% of range)

50 kHz < f

) 100 kHz

±(0.6% of reading + 0.2% of range)

100 kHz < f

) 500 kHz ±{(0.006 × f)% of reading + 0.5% of range}

500 kHz < f

) 1 MHz

±{(0.022 × f - 8)% of reading + 1% of range}

Frequency bandwidth

5 MHz (-3 dB, typical)

Current
Frequency

Accuracy
±(Measurement reading error + Setting range error)

DC

±(0.05% of reading + 0.1% of range)

0.1 Hz

) f < 10 Hz

±(0.1% of reading + 0.2% of range)

10 Hz

) f < 45 Hz

±(0.1% of reading + 0.1% of range)

45 Hz

) f ) 66 Hz

±(0.1% of reading + 0.05% of range)

66 Hz < f

) 1 kHz

±(0.1% of reading + 0.1% of range)
Direct input of the 50 A input element
±(0.2% of reading + 0.1% of range)

1 kHz < f

) 50 kHz

±(0.3% of reading + 0.1% of range)
50 mV, 100 mV, 200 mV range of the external current sensor input
±(0.5% of reading + 0.1% of range)
Direct input of the 50 A input element
±{(0.1 × f + 0.2)% of reading + 0.1% of range}

50 kHz < f

) 100 kHz

±(0.6% of reading + 0.2% of range)
Direct input of the 50 A input element
±{(0.1 × f + 0.2)% of reading + 0.1% of range}

100 kHz < f

) 200 kHz ±{(0.00725 × f - 0.125)% of reading + 0.5% of range}

Direct input of the 50 A input element
±{(0.05 × f + 5)% of reading + 0.5% of range}

200 kHz < f

) 500 kHz Direct input of the 5 A input element

±{(0.00725 × f - 0.125)% of reading + 0.5% of range}

500 kHz < f

) 1 MHz

Direct input of the 5 A input element
±{(0.022 × f - 8)% of reading + 1% of range}

Frequency bandwidth

5 MHz (-3 dB, typical) 5 A input element
External current sensor input of the 50 A input element