Owen Duffy wrote:
To find the steady state solution, take a short cut, bypass the transient
analysis and jump straight to the converged situation.
That certainly works but in the process, many people
have ignored and/or forgotten the total energy content
of a transmission line with reflections is greater
than the net energy being transferred to the load.
A one microsecond long transmission line transferring
100 watts to a matched load (Pfor=100w, Pref=0w)
contains 100 microjoules of energy during steady-state.
A one microsecond long transmission line transferring
100 watts to a mismatched load (Pfor=200w, Pref=100w)
contains 300 microjoules of energy during steady-state.
The transmission line always contains exactly the right
amount of energy to support the forward and reflected
waves. The most logical conclusion is that forward and
reflected waves continue to exist during steady-state
and those EM waves cannot stand still.
Forward and reflected waves during steady-state are
the building blocks of the standing wave which couldn't
exist without them. Forward and reflected waves contain
energy levels which can be easily calculated. The extra
energy, more than the matched flat case, is what causes
the extra losses due to SWR.
--
73, Cecil
http://www.w5dxp.com