Hioki 3196 - Formulae

12.4 Formulae
199
12.4 Formulae
Voltage dips, voltage swells, and interruptions U (V rms)
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
U1 U1
U2
Line-to-line voltage Line-to-line voltage Phase-to-neutral
voltage
U1
U2
U3
• Calculate a single waveform that has been overlapped half a wave at 256 points/wave. (M=256)
• Search for voltage dips, voltage swells, and interruptions based on the above RMS voltage value.
c: measured channel M: number of samples per cycle s: number of sampling points
Uc
1
M
-----
Ucs
()
2
S0=
M1–
∑
= U12
1
M
-----
U
1s()
2
S0=
M1–
∑
=
U32
1
M
-----
U
2s()
2
S0=
M1–
∑
=
U12
1
M
-----
U
1s()
2
S0=
M1–
∑
=
U23
1
M
-----
U
2s()
2
S0=
M1–
∑
=
U31
1
M
-----
U
3s()
2
S0=
M1–
∑
=
Voltage waveform peak Up (V peak)
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
Up1
Up4
Up1
Up2
Up4
Up12
Up32
Up4
Up12
Up23
Up31
Up4
Up12
Up23
Up31
Up4
• Calculate the maximum positive and negative voltage waveform peaks of all points about once every 10
cycles at 50 Hz or every 12 cycles at 60 Hz with a single wave (256 points).
• The voltage waveform peak for CH4 can be calculated regardless of the connection method.
c: measured channel M: number of samples per cycle s: number of sampling points
Current waveform peak Ip (Apeak)
Single-phase 2-wire
1P2W
Single-phase 3-wire
1P3W
Three-phase 3-wire
3P3W2M
Three-phase 3-wire
3P3W3M
Three-phase 4-wire
3P4W
Ip1
Ip4
Ip1
Ip2
Ip4
Ip1
Ip2
Ip4
Ip1
Ip2
Ip3
Ip4
Ip1
Ip2
Ip3
Ip4
• Calculate the maximum positive and negative current waveform peaks of all points about once every 10
cycles at 50 Hz or every 12 cycles at 60 Hz with a single wave (256 points).
• The current waveform peak for CH4 can be calculated regardless of the connection method.
c: measured channel M: number of samples per cycle s: number of sampling points