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9. APPENDIX
9.1. MEASUREMENTS
9.1.1. DEFINITION
The calculations are performed in accordance with standards IEC 61557-12, IEC 61000-4-30, and IEEE 1459.
Geometrical representation of the active and reactive powers:
Figure 36
The quadrants are given for the fundamental power values.

Voltage vector V varies in direction according to phase angle ϕ.
The phase angle ϕ, between the voltage V and the current I, is considered positive in the anticlockwise direction.
9.1.2. SAMPLING
9.1.2.1. Sampling period
This depends on the network frequency: 50, 60 or 400Hz.
The sampling period is calculated every second.
Network frequency f = 50Hz
Between 42.5 and 57.5Hz (50Hz ± 15%), the sampling period is locked to the network frequency. 128 samples are avail-
able for each period of the network.
Outside of the 51–69Hz band, the sampling period is 128 x 50 Hz.
Network frequency f = 60 Hz
Between 51 and 69 Hz (60 Hz ± 15%), the sampling period is locked to the network frequency. 128 samples are available
for each period of the network.
Outside of the 51–69Hz band, the sampling period is 128 x 60Hz.
Network frequency f = 400 Hz
Between 340 and 460 Hz (400 Hz ± 15%), the sampling period is locked to the network frequency. 16 samples are avail-
able for each period of the network.
Outside of the 340–460Hz band, the sampling period is 16 x 400Hz.
A DC signal is treated as outside of the frequency ranges. The sampling frequency is then, depending on the preset network fre-
quency, 6.4 kHz (50/400Hz) or 7.68 kHz (60Hz).
Active power
supplied
Active power
consumed
Reactive power
consumed
Reactive power
supplied
Source Load
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