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86 Rockwell Automation Publication 1412-UM001D-EN-P - September 2012
Appendix C Mathematical Formulas For Various Parameters
Peak Factors for Current and
Voltage
One Second RMS Values for
Voltage and Current
NSS: number of samples in one second (multiple of NSC).
Voltage and Current
Unbalance
[]
[] []
[][ ]
∑
−
=
⋅
=
1
0
2
1
)iVpm,imax(Vpp
Vc f
NSC
n
niV
NSC
i
Peak factor single voltage i + 1 phase
[]
[] []
[][ ]
∑
−
=
⋅
=
1
0
2
1
)iUpm,imax(Upp
Ucf
NSC
n
niU
NSC
i
Peak factor phase-phase voltage i + 1 phase
[]
[] []
[][ ]
∑
−
=
⋅
=
1
0
2
1
)iApm,imax(App
Acf
NSC
n
niA
NSC
i
Peak factor current i + 1 phase
[]
[][ ]
∑
−
=
⋅
=
1
0
2
1
Vrms
NSS
n
niV
NSS
i
Single rms voltage i + 1 phase
[]
[][ ]
∑
−
=
⋅
=
1
0
2
1
Urms
NSS
n
niU
NSS
i
Compound rms voltage i + 1 phase
[]
[][ ]
∑
−
=
⋅
=
1
0
2
1
Arms
NSS
n
niA
NSS
i
Rms current i + 1 phase
=
V
+
(VF[0] + a VF[1] + a
2
VF[2]) Direct voltage (complex notation a = e )
1
3
j
2π
3
=
V
-
(VF[0] + a
2
VF[1] + a
VF[2]) Reverse voltage
1
3
Vrms
-
Vrms
+
Arms
-
Arms
+
Vunb = , Aunb =