ABB ETL600, Instruction Manual

Page: 146 / 382

ABB Switzerland Ltd
1KHW001489-EN ETL600
5.2.1. Power definitions
5.2.1.1. Mean power
The mean power of a signal with voltage x(t) is given by
⎭
⎬
⎫
⎩
⎨
⎧
=
∫
−
∞ →
2
2
2
0
) (
1
lim
1
) (
T
T
T
mean
dt t x
T R
x P
(1)
where R
0
is the impedance at the point where the voltage x(t) is
measured.
5.2.1.2. Peak power
The peak power of a signal with voltage x(t) is given by
[ ]
∞ < < ∞ − =
t t x
R
x P
peak
), ( max
1
) (
2
0
(2)
where R
0
is the impedance at the point where the voltage x(t) is
measured.
5.2.1.3. Peak envelope power (PEP)
The peak envelope power (PEP) of a signal with voltage x(t) is equal
to the mean power of a sine wave that has the same peak power as
x(t).
) (
2
1
) ( x P x P
peak PE
=
[ ]
∞ < < ∞ − =
t t x
R
), ( max
2
1
2
0
(3)
where R
0
is the impedance at the point where the voltage x(t) is
measured.
The PEP has been defined by IEC60495 as a measure for the usable
output power of a PLC power amplifier.
5.2.2. Voltage definitions
5.2.2.1. RMS voltage
The RMS (Root Mean Square) voltage of a signal with voltage x(t) is
given by
⎭
⎬
⎫
⎩
⎨
⎧
=
∫
−
→∞
2
2
2
) (
1
lim ) (
T
T
T
RMS
dt t x
T
x U
(4)
5-2 November 2005 Configuration and Set-up