Hioki 8807-51, 8808-51 Instruction Manual

INSTRUCTION MANUAL

8807-51
8808-51

MEMORY HiCORDER

HARMONIC WAVE

ANALYSIS FUNCTION

Contents

1. General Description 1

2. Setup Procedures 2

3. Basic Setting Items 3

3.1 Function Setting 3

3.2 Measurement Target Setting

4. Analog Input Channel Setting 5

4.1 Waveform Display Color Setting 5

4.2 Input Type Setting

4.3 Vertical Axis Range Setting

4.4 Scaling Setting

4.5 Scale Conversion Rate Setting

4.6 Line Connection & Level Check

4.7 DMM Function

11
13

5. Instantaneous Analysis Mode 15

5.1 Analyses and Display Screens 15

5.2 Basic Item Setting

5.3 Cursor Operation

5.4 Analysis Example 1: Simultaneous Instantaneous
Analysis of Two 100-VAC Single-Phase 2-Wire Lines

21
27

28

3

6
7
8
9

5.5 Analysis Example 2: Instantaneous Analysis of 200-VAC
3-Phase 3-Wire Line

33

6. Time-Series Analysis Mode 35

6.1 Basic Item Setting 35

6.2 Analysis Item Setting

6.3 Cursor Operations

6.4 Waveform Scrolling

6.5 Input Setting in Waveform Display Screen

6.6 Over-Range Check Function

6.7 Analysis Example: Time-Series Analysis of 100-VAC
Single-Phase 3-Wire Line

41
45
46
47
48

49

7. Triggers for Harmonic Wave Analysis Function 52

7.1 Basic Trigger Setting Items and Setting Methods 52

7.2 Harmonic Wave Trigger

55

8. Printer Operations 59

8.1 Recording on Printer 59

9. PC Card 62

9.1 Input of File Name 62

9.2 Text File Internal Format

9.3 Examples of Stored Files

63
64

10. Characteristics of CLAMP ON PROBES
(Reference Information) 66

Index INDEX 1

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1

1. General Description

The harmonic wave analysis function is designed exclusively for use with the
8807-51/8808-51 MEMORY HiCORDER.
For detailed information on the product and product functions, please refer
to the manual for the main unit.

Features

(1) A range of harmonic wave analysis functions for commercial

power supplies

The 8807-51 is designed for analysis of single-phase 2-wire lines, while the
8808-51 is intended for analysis of single-phase 2-wire lines, single-phase 2­wire lines of two different systems, single-phase 3-wire lines, and 3-phase 3­wire lines.

The function measures power supplies with a fundamental frequency ranging
from 45 to 65 Hz.

(2) Fast Fourier transform in accordance with frequency

512 data points sampled at a rate of 400 kS/s are extracted for calculations.

(3) Two analysis modes to match specific applications

Instantaneous analysis mode for analysis of instantaneous waveforms during
measurement.

Time-series analysis mode for recording and analyzing analysis data as time­series data.

(4) Extensive analysis items

Six types of analysis of harmonic waves of all degrees rms value, content
ratio, phase angle, active power, power content ratio, and power phase angle
and calculations of total rms value, total distortion, active power, reactive
power, apparent power, and power factor are available.

(5) Instantaneous analysis mode

Displays analysis results as spectral graphs or with numeric values, and
stores result data.

Displays all harmonic wave components from 1st degree to 40th degree on a
single screen.

(6) Time-series analysis mode

Data on 20 phenomena over a period of up to 30 days, or data on four
phenomena over a maximum of 150 days, can be stored in memory.

Four phenomena can be recorded in an overlapping manner on a single time
axis to allow an easy grasp of the interrelationships among phenomena.

The time axis can be set in seven levels from 5 min/DIV to 12 h/DIV.

Smoothing function for cancellation of unexpected phenomena

Pre-trigger function for observation of the signal prior to a trigger

(7) Harmonic wave trigger function

The trigger can be tripped for rms value, content ratio, all degrees power,
power content ratio, power phase angle, total rms value, and any type of
distortion of a selected harmonic wave component.

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2

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(8) Scaling function

Easy input setting for measurement using a clamp ammeter

(9) Equipped with anti-aliasing filter

Built-in low-pass filter prevents return distortion by eliminating all
frequencies other than measurement targets.

(10) Over-range check function

Automatically switches to a lower sensitivity range when an input waveform
exceeds the maximum input voltage.

2. Setup Procedures

1 Basic Settings (Page)

1. Selecting the Harmonic Wave Function 3

2. Selecting the Power Supply Line

2 Detailed Input Settings

1. Waveform Display Color Setting 5

2. Input Type Setting

3. Vertical Axis Range Setting

4. Scaling Setting

5. Line Connection & Level Check Setting
Application: Trigger Setting

3 Instantaneous Analysis

1. Basic Settings 21

2. Reading Display with Cursor
Analysis Example 1:

Instantaneous Analysis of 100-VAC Single-Phase
2-Wire Line

Analysis Example 2:

Instantaneous Analysis of 200-VAC 3-Phase
3-Wire Line

Time-Series Analysis

1. Basic Settings 35

2. Analysis Item Setting

3. Reading Display with Cursor, and Waveform
Scrolling

Analysis Example 1:

Time-Series Analysis of 100-VAC Single-Phase
3-Wire Line

11
52

27

28

33

41

45

49

Setting examples

Q&A

3

6
7
8

Method of selecting the range
when measuring commercial
power supplies 7

Q&A
Method of selecting the range
when using the 9018-10 CLAMP
ON PROBE 7

Q&A
Method of scaling with a
combination of the 9020 CLAMP
ON ADAPTER and 9018-10
CLAM ON PROBE 9

Q&A
Current measurement using a
combination of the 9277
UNIVERSAL CLAMP ON CT
and 9555 SENSOR UNIT 10

4 Data Printing and Saving

Printer Recording Setting 59
Using a PC Card
Entering a File Name

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62
62

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3

3. Basic Setting Items

3.1 Function Setting

The 8807-51 and 8808-51 each provide a total of four functions.
To use the harmonic wave analysis function, follow the procedures given
below.

Setting Screen SET >>

STATUS(1/4)/ CHANNEL(2/4)/ TRIGGER(3/4)/ ANALYZE(4/4)

1. Move the flashing cursor to the location shown
in the diagram.

2. Using the buttons, select

HARM

3.2 Measurement Target Setting

This screen is used to select the power supply type to be measured.

Setting Screen SET >>

1. Move the flashing cursor to

2. Make a setting using the buttons.

UNIQUE

(Independent
channels)

Conducts power analysis only when
odd-number channel receives
voltage input and even-number
channel receives current input
(clamp). (Any input type can be
set.)

Wiring

.

CHANNEL(2/4)

.

1P2W

Single-phase
2-wire

1P3W

(Single-phase
3-wire)

3P3W

(3-phase 3­wire)

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Analyzes single-phase 2-wire line.
Perform the setting so that odd­number channels receive voltage
input and even-number channels
receive current input (clamp). (The
8808-51 can analyze two single­phase 2-wire lines simultaneously.)

Analyzes single-phase 3-wire line.
(8808-51 only)

Analyzes 3-phase 3-wire line.
(8808-51 only)

3.2 Measurement Target Setting

4

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Single-phase 2-wire

Single-phase 3-wire

8808-51 only

Source

1

HL

CH1 CH2

8807-51

Load

Position the clamp with the current direction
indicator pointing toward the load side.

LoadSource

Source

1

N

Load

HL

CH1 CH2 CH3 CH4

Source

1

N

HL

Load

8808-51

3-phase 3-wire

8808-51 only (3-phase 3-wire, 2-power meter method)

Source

R

Load

N

2

L

H

CH1 CH2 CH3 CH4

L

H

8808-51

For example, when using a HIOKI clamp on probe, the clamping method should be as shown below.
If the clamp on probe is faced in the opposite direction, the phase will shift 180 degrees from the actual
value.

NOTE

The direction of connection for the 9132-10 is opposite from the 9018-10.

9018-10

Load

S

T

L

H

CH1 CH2 CH3 CH4

H

8808-51

9132-10

Source

L

Source

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3.2 Measurement Target Setting

Load

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5

4. Analog Input Channel Setting

4.1 Waveform Display Color Setting

In instantaneous analysis mode, you can select the color of the displayed
waveform.

Setting Screen SET >>

1. Move the flashing cursor to the location next to
the channel to be set, as shown in the diagram.

2. Make a setting using the buttons.

List

OFF

Red/Green

Yellow/Light
Blue

Blue/Gray

Does not display
waveform.

Prints waveform at
standard print density.

Prints waveform at low
print density.

Prints waveform at high
print density.

When the 8992 PRINTER UNIT is used to print a
waveform, the three print densities are used to
represent the selected waveform display color (6
colors).
Print density has no effect in real-time printing.

CHANNEL(2/4)

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4.1 Waveform Display Color Setting

6

(

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4.2 Input Type Setting

The input type must be set for each analog input channel.
Voltage and current in combination with the HIOKI Clamp Sensor can be
measured.

When the name of clamp is selected, measurements are automatically
converted to current values and displayed.

Setting Screen SET >>

1. Move the flashing cursor to

INPUT

2. Make a setting using the buttons.

For direct input of voltage or when using a
general-purpose clamp probe

(Current measurement)
When using a 9018-10 CLAMP ON PROBE

(Current measurement)
When using a 9132-10 CLAMP ON PROBE

(Leakage current measurement)
When using a 3283 CLAMP ON LEAK
HiTESTER

(Current measurement)
When using a 3284 CLAMP ON AC/DC
HiTESTER

(Current measurement)
When using a 3285 CLAMP ON AC/DC
HiTESTER

(High voltage measurement)
When using a 9322 DIFFERENTIAL PROBE

(*)When a 3283, 3284, or 3285 CLAMP ON
HiTESTER is selected, power analysis
(harmonic wave active power, harmonic wave
power content ratio, harmonic wave power
phase angle, active power, apparent power,
reactive power, power factor) cannot be
performed due to the phase characteristics.
If the 3283, 3284, or 3285 is selected, the
following warning message is displayed when
power analysis begins.
"Warning 635: 3283,3284,3285 can't analyze
power."

VOLT

9018

9132

3283(*)

3284(*)

3285(*)

9322

CHANNEL(2/4)

.

NOTE

Precautions for measuring current using a HIOKI CLAMP ON PROBE/CLAMP ON
HiTESTER

Set the same measurement range for the 8807-51/8808-51 and the clamp.

Accurate measurements are not possible if improper ranges are set.

When using the 3283, 3284 or 3295 CLAMP ON HiTESTER for current

measurement, press the OUTPUT button on the 3283/3284/3285 unit and set to

MON

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4.2 Input Type Setting

waveform output: AC).

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7

4.3 Vertical Axis Range Setting

The vertical axis range must be set for each channel.

When VOLTAGE is set as the input type:
Indicates rms voltage value per division when vertical axis magnification is
setto"x1."

When CLAMP is set as the input type:
Indicates rms current value on full vertical axis scale.

Setting Screen SET >>

1. Move the flashing cursor to

RANGE

2. Make a setting using the buttons.

NOTE

The input range for the harmonic wave analysis function is indicated as an rms

value.

In instantaneous analysis, the voltage value read by the cursor on the input

waveform screen is indicated as an instantaneous value.

Note that when VOLTAGE is selected as the input type, the maximum
measurement voltage displayed on the channel screen becomes the guaranteed
accuracyrange.

CHANNEL(2/4)

.

Q&A

Q1
What range should I select
when measuring a
commercial 110-Vrms
power supply?

Q2
What range should I select
when using the 9018 for 15­Arms measurement?

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A1
Since commercial power supplies can fluctuate in the range of 10%,
select a range that covers 121 Vrms (110 Vrms x 1.1).
Maximum measurement voltage in 5-Vr range: 70 Vrms
70 Vrms < 121 Vrms X (over range)
Maximum measurement voltage in 10-Vr range: 140 Vrms
140 Vrms > 121 Vrms O (appropriate range)

A2
The clamp probe range indicates the maximum full-scale input as an
rms value. Select a range larger than the value of current to be
measured.
Be sure to set the same range in the clamp probe and the main unit.
10-Ar range setting: 10 Arms < 15 Arms X (over range)
20-Ar range setting: 20 Arms > 15 Arm s O (appropriate range)

4.3 Vertical Axis Range Setting

8

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4.4 Scaling Setting

The scaling function can be turned On or Off when using a CT/PT or
generic clamp probe.

Setting Screen SET >>

1. Move the flashing cursor to the location next to
the channel to be set, as shown in the diagram.

2. Make a setting using the buttons.

OFF

ON

No scaling

Scaling provided

3. When VOLTAGE is set as the input type:
Select the type of scaling.

PT

For PT rate setting

CHANNEL(2/4)

A

When a clamp probe other than HIOKI unit
is used

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4.4 Scaling Setting

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9

4.5 Scale Conversion Rate Setting

This screen is used to set the scaling conversion rate when using a CT/PT or
other clamp probe.

Setting of CT/PT rate

Setting Screen SET >>

1. Move the flashing cursor to the location next to
the channel to be set, as shown in the diagram.

2. Press the buttons to open the numerical
value setting window.

3. Move the cursor to a selected digit in the
numerical value setting window and enter a value
using the buttons. (exponential notation)

4. To confirm the setting:
Move the flashing cursor toOK, and press the

buttons or the

START

button.
To cancel the setting:
Move the flashing cursor to
the buttons or the

CANCEL

STOP

button.

Q&A

Q1
How can I measure 1500
Arms using a combination
of the 9020 CLAMP ON
ADAPTER (10:1) and the
9018?

A1
When the 10:1 9020 is used to measure 1500 Arms, the 9020 unit
outputs 150 Arms (1500 Arms x 1/10).
To measure 150 Arms, the 9018 should be set to the 200 Arms range.
With this setting, when scaling is turned ON and the conversion rate is
set to "10.00," the screen will display "1500 Arms" as the measured
value.

CHANNEL(2/4)

and press

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4.5 Scale Conversion Rate Setting

10

g

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Settings for use of other clamp products

Setting Screen SET >>

1. Move the flashing cursor to the location next to
the channel to be set, as shown in the diagram.

2. Press the buttons to open the numerical
value setting window.

3. Move the cursor to a selected digit in the
numerical value setting window and enter an
output voltage value using the buttons.
(exponential notation)

4. To confirm the setting:
Move the flashing cursor toOK, and press the

buttons or the

START

button.
To cancel the setting:
Move the flashing cursor to
the buttons or the

CANCEL

STOP

button.

5. Move the flashing cursor toAand enter the
measurement range of the clamp to be used.
(Repeat steps 3 and 4.)

CHANNEL(2/4)

and press

Q&A

Q1
How can I make high
accuracy current
measurements using a
combination of the 9277
UNIVERSAL CLAMP ON
CT and the 9555?

NOTE

The scaling in the harmonic wave analysis function is effective only for harmonic
wave analyses.
The scaling setting in other functions is not valid in harmonic wave analyses.
You can enter a conversion rate even if scalin

A1
When the 9277 and 9555 are used together, the voltage output
becomes 2 Vf.s. with an input of 20 Af.s. In such cases, enter "2.00" in
"VOLTAGE" and "20.00" in "A" for automatic conversion of
measurement values to current values.

is set to OFF.

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4.5 Scale Conversion Rate Setting

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11

4.6 Line Connection & Level Check

This function is used to set an appropriate range for the input signal prior to
measurement. When a clamp probe is used, this function checks the
orientation of the probe. The check items vary by measurement target.

UNIQUE

Range check, voltage, and current phase check (when power analysis
is valid)

1P2W

1P3W

3P3W

Input type check, range check, voltage, and current phase check

Input type check, range check, voltage, and current phase check,
voltage level imbalance check, single-phase 3-wire and 3-phase 3-wire
detection

Input type check, range check, voltage, and current phase check,
voltage level imbalance check, single-phase 3-wire and 3-phase 3-wire
detection, phase sequence check

Setting Screen SET >>

1. Move the flashing cursor to

check)

, and press the buttons to
open the connection diagram and check
start window (diagrams at lower left).
(The displayed window corresponds to the
measurement target.)

2. Make connections according to the
connection diagram.

3. To run the check after completing the
connections:
Press the

START

button.
(The line connection & level check begins
automatically.)
To cancel:
Press the

STOP

button.

CHANNEL(2/4)

(connect

Independent channels

Single-phase 3-wire

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Single-phase 2-wire

3-phase 3-wire

4.6 Line Connection & Level Check

12

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4. Check the results of the line connection &
level check.
(The check items are automatically
selected from the items listed below,
according to measurement target.)

Range Over

Checks whether the range is appropriate for
the waveform to be measured.
For voltage measurement, the range switches
automatically to prevent input overshoot.
When the range switches, the following
message appears: "Range changed. (Out of
range) " (at the bottom of the screen)

Input type

Independent channels

Single-phase 2-wire

(modes except "UNIQUE")
Checks that the settings are appropriate for
power measurement.
Checks whether an appropriate clamp probe is
connected.

Sensor Direction

Checks the orientation of the clamp probe.
If the level of voltage/current input signal is
low, the screen indicates that a determination
cannot be made.

Single-phase 3-wire

The result of each check is indicated by "OK" or
"NG" (no good). When a check results in a
"NG" result, the line connection & level check
function halts, and details of the connection
error are displayed.

NOTE

If the input waveform phase is reversed, an accurate active power will not be

displayed. Be sure to perform the line connection & level check before

3-phase 3-wire

measurement.

Note that the waveform data stored in memory is deleted when the line

connection & level check is executed.

If the voltage/current level is low, a reversed clamp connection may not be
detected. In this case, the result of the clamp reversal connection check is
displayed as "?."

Connection errors may not be detected under the following conditions.

1) When there are two or more connection errors.

2) When the voltage/current level is low.

3) When the power factor is low.

In addition to the line connection & level check, we recommend checking the
DMM screen for abnormal measured values.

Voltage RMS line

(when set for 1P3W or 3P3W)
Checks voltage level imbalance

Select Measure Line

(when set for 1P3W or 3P3W)
Checks whether measurement is for a single­phase 3-wire line or 3-phase 3-wire line.

Voltage Phase Sequence

(when set for 3P3W)
Checks the phase sequence when measuring
a 3-phase 3-wire line.

5. When a check results in "NG":
Check and correct connections and restart
the line connection & level check.
Repeat the check until all items show
"OK."

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4.6 Line Connection & Level Check

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13

4.7 DMM Function

The DMM function provides a numeric display of the input voltage of a
commercial power supply (50/60 Hz) and DC signal on the screen.
The digital display can be switched between instantaneous value and rms
value.
This function will not display accurate values if the input voltage is not of a
commercial power supply (50/60 Hz) or a DC signal.
When the DMM screen is used with the harmonic wave analysis function,
the range set in the harmonic wave analysis function is reflected in the
display values.

Setting Screen DISP >>DMM

Hold
indication

rms value
(voltage)

rms value
(clamp)

1. Press the
screen.

2. Press the
open the DMM screen.

To return to the waveform screen, press the
button on the DMM screen.

button to open the waveform

DISP

button on the waveform screen to

DISP

DISP

Instantaneous
value
(voltage)

Instantaneous
value
(clamp)

Display contents

Instantaneous value display: The indications show the instantaneous values
of the input voltage of a commercial power supply (50/60 Hz) and DC
signal.
RMS value display: The displayed value is an rms value calculated on the
basis of the input voltage. The calculation is based on the following
equation:

RMS =

"A" indication when clamp is used

This indication shows the channel that measures the current using the 9018­10/9132-10 CLAMP ON PROBE, 3283 CLAMP ON LEAK HiTESTER, or
3284/3285 CLAMP ON AC/DC HiTESTER, or with scaling applied by a
generic clamp.

n

(

di2/n)

Σ

i=1

RMS: Rms value
n: Data number source
di: ith data in channel

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4.7 DMM Function

14

play

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Switching between instantaneous value display and rms value display

Channels with rms value display are indicated with an "RMS" displayed on
the DMM screen. You can toggle the display between instantaneous value
and rms value in the following ways:
Change to all-channel rms value display: button
Change to all-channel instantaneous value display: button
Change the specified channel:

CH1, CH2, CH3, CH4

(channel to be changed)

Display hold/cancellation of hold

Display hold:

STOP

(The screen shows

. The values displayed at the

HOLD

time that the button is pressed remain on screen.)
Canceling hold:

START

Printing the DMM screen

Printing the displayed values:
Screen copy:

COPY

PRINT

DMM function specifications in harmonic wave analysis function

Measurement target: Commercial power supply (50/60 Hz) (automatic
frequency setting)
Displayed information: Rms value or instantaneous value
Update rate: 1 s
Sampling speed: 4 kS/s
The number of displayed digits: 4 digits (the lowest digit indicates "0" when
the actual value is between 0 and 4, and "5" when the actual value is
between 5 and 9.). When scaling turned ON, exponential notation is used.
Accuracy: 3% rdg. 5 dgt.

NOTE

With scaling turned OFF, the maximum voltage value that can be displayed is

5499. The auto range function switches to a lower range when the count falls
below 500. The lowest digit indicates either "0" or "5."

The color of the digital indication for each channel corresponds to the waveform

dis

color set in instantaneous analysis mode.

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4.7 DMM Function

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15

5. Instantaneous Analysis Mode

This mode is used to perform various analyses on one cycle of an input
waveform.

5.1 Analyses and Display Screens

The analyses that can be performed in instantaneous analysis mode and
analysis result screens are described below.
The instantaneous analysis mode supports six analyses (items), each with its
own analysis screen, and seven analyses (parameter values) with numeric
indications only.

(1) Input waveform

(2) Harmonic wave rms value

(WAVEFORM screen)

512 sample points are extracted from the data,
which is sampled at a frequency of 400 kS/s.

(RMS screen)

The screen displays
the rms values of
harmonic wave
components of each
input signal, ranging
from the fundamental
wave to the 40th
degree.

Numeric screen

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Graph screen

5.1 Analyses and Display Screens

16

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(3) Harmonic wave content ratio

Numeric screen

The fundamental wave content ratio is assigned a value of 100% for the calculations.

Content ratio =

___________________________

Graph screen

(nth-degree harmonic wave)

(Fundamental wave)

2

2

x 100 (%)

(RMS-RATIO screen)

The screen displays
the content ratios (%)
of harmonic wave
components of all
degrees to the input
signal.

(n = degree of
harmonic wave)

(4) Harmonic wave phase angle

Numeric screen

The input signal V can be expressed by the following equation:

sin(ωt)+V

V=V

1

　　.... +V

sin(2ωt+θ

2

sin{(n-1)ωt+θ

(n-1)

)+V

2

(n-1)

Graph screen

sin(3ωt+θ

3

sin(nωt+θ

}+V

n

)+ ...

3

ω =2π/T

t: Fundamental wave

)

n

frequency

: Rms value of nth degree

V

n

: Phase deviation of nth-

θ

n

degree harmonic wave from
fundamental wave

(PHASE screen)

The screen displays
the phase deviation of
the harmonic wave
components of all
degrees from the
fundamental input
signal wave.

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5.1 Analyses and Display Screens

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17

(5) Harmonic wave active power

Numeric screen

Active power = (Rms voltage value)

Graph screen

x (Rms current value)

n

(POWER screen)

The screen displays
the active power
values (W) of the input
signal harmonic wave
components, ranging
from the fundamental
wave to the 40th
degree.

x cos(Power phase angle)

n

(n = 1 to 40)

n

(6) Harmonic wave active power content ratio

Numeric screen

Active power content ratio=

Active power of nth-degree harmonic wave

____________________________________

Active power of fundamental wave

Graph screen

(P-RATIO screen)

The screen displays
the percentage of
active power value of
the harmonic wave
component of each
degree in the active
power value (given a
value of 100%) of the
fundamental wave of
input signal.

x100(%)

(n = degree of harmonic wave)

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5.1 Analyses and Display Screens

18

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(7) Harmonic wave power phase angle

Numeric screen

NOTE

In the graph, the horizontal axis and vertical axis show active power and reactive
power, respectively, while vector length indicates the magnitude of rms value
(apparent power).

The power phase angle vector diagram shows the harmonic wave components of
all degrees from the fundamental wave to the 40th degree.

Specifying a desired harmonic wave component displays the component in the
vector diagram as a solid line.

Harmonic wave inflow and outflow can be determined as shown below.

(P-PHASE screen)

By measuring the
phase angle of
harmonic wave current
of each degree relative
to the voltage
waveform, the screen
indicates the direction
of drift in the harmonic
wave of each degree.

Graph screen

Harmonic wave outflow

(8) Parameters

The numeric screen displays the following parameters:

90

180

-90

Harmonic wave inflow

0

Analysis screen Displayed parameters

RMS, RMS-RATIO, PHASE Total rms, total distortion-F, total

distortion-R

POWER, P-RATIO, P-PHASE Active power, apparent power, reactive

power, power factor

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5.1 Analyses and Display Screens

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19

Total rms value

Sum of rms values of all harmonic wave components.

Total rms value=

40

(nth-degree harmonic wave)

Σ

i=1

2

[V] or [A]

(n = degree of harmonic wave)

Total distortion-F

Percentage of all harmonic waves in fundamental wave.
"F" refers to "fundamental."

Total distortion-F =

40

(nth-degree harmonic wave)

Σ

i=2

(Fundamental wave)

2

2

[%]

(n = degree of harmonic wave)

Total distortion-R

Percentage of all harmonic waves in total rms value.
"R" refers to "rms."

Total distortion- R =

40

(nth-degree harmonic wave)

Σ

i=2

Total rms value

2

[%]

(n = degree of harmonic wave)

Active power

Mean value of the amount of work performed by one cycle of AC
instantaneous power

Active power =

40

{(Rms voltage value)

Σ

i=1

cos(Power phase angle)

x (Rms current value)

n

}[W]

n

(n = degree of harmonic wave)

x

n

Apparent power

Product of rms values of voltage and current

Apparent power = (Total rms voltage value) x (Total rms current value) (VA)

Reactive power

Value obtained by multiplying the product of rms values of voltage and
current by sin.

Reactive power =

40

{(Rms voltage value)

Σ

i=1

sin(Power phase angle)

x (Rms current value)

n

} [var]

n

(n = degree of harmonic wave)

x

n

Power factor

Cos of the phase difference between voltage and current.

Power factor = (Active power)/(Apparent power)

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5.1 Analyses and Display Screens