Let v(t) and i(t) be the voltage across an electrical element and current through that element
under periodic steady-state conditions in an AC system working under distorted waveform
conditions. Both v(t) and i(t) are expressed in the form of trigonometric Fourier series below
where
ω
0
is the fundamental radian frequency of the system. AC system voltages and
currents usually do not contain any DC component under steady-state and hence DC
components are not included in these Fourier series.
itIn t
n
n
in
()cos()=−
=
∞
∑
2
1
0
ωφ
vtVn t
n
nvn
()cos()=−
=
∞
∑
2
1
0
ωφ
560
13DYNAMIC CIRCUITS WITH PERIODIC ...
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