Harmonics and total harmonic distortion, Harmonics and total harmonic distortion (thd) – Rockwell Automation 865 Differential Protection Relay User Manual

Page 112

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5-2 Measurement

Functions

865-UM001A-EN-P – July 2009


Table 5.3 – Frequency

Measuring range

16 Hz – 75 Hz

Inaccuracy

10 mHz

In the Allen-Bradley 865, frequency is measured from current
signals.

Table 5.4 – THD and Harmonics

Inaccuracy I 0.1 PU

2 % units

Update rate

Once a second

The specified frequency range is 45 Hz – 65 Hz.

The device calculates the THDs as percentage of the base
frequency for currents and voltages.

The device calculates the harmonics from the 2

nd

to the 15

th

of

phase currents and voltages. (The 17

th

harmonic component will

also be shown partly in the value of the 15

th

harmonic

component. This is due to the nature of digital sampling.)


The harmonic distortion is calculated using equation

1

15

2

2

h

h

THD

i

i

=

=

, where

h

1

= Fundamental value

h

2...15

=

Harmonics

Example
h

1

= 100 A

h

3

= 10 A

h

7

= 3 A

h

11

= 8 A

%

2

.

13

100

8

3

10

2

2

2

=

+

+

=

THD


For reference the RMS value is:

A

RMS

9

.

100

8

3

10

100

2

2

2

2

=

+

+

+

=


Another way to calculate THD is to use the RMS value as
reference instead of the fundamental frequency value. In the
example above the result would then be 13.0 %.

Harmonics and Total
Harmonic Distortion
(THD)

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