Winfield said:
I'd appreciate a response on this. The saturable reactor is
appealing to me because it's a linear way of dealing with an
ac-transformer power-control problem. One thing that slows
me down is considering the two transformers needed to create
a saturable reactor - how big do they need to be? Thinking
about this, with no DC current, they create an open circuit,
no current flows and no power is dissipated. Alternately,
with maximum DC current the two transformers are saturated,
and simplified, look together like a length of copper wire.
So the intermediate condition provides the greatest stress.
That should be the region to evaluate.
I was interested in Ken's idea, so sketched a
possible circuit, as below.
+ Pri - Load current
230V high +------////////---------->-----+
T1 ======== |
DC-------////////-----+ |(
+ Sec - | |( L(leak)
| |(
.----------------' | Win's Load.
| \
| - Sec + /Rload
+---////////---------DC \
T2 ======== |
230V low +-------////////----------------+
- Pri +
Each transformer's primary winding has to be able to
take the final max load current. So if you had a
230V/2500VA load then you would possibly use a pair of
115V/1250VA transformers.
I suspect that if the transformers were designed for
this application then they would be smaller because
more window area could be allotted to the AC side.
As a first pass, the load current, Iload = Vin/Z.
Where Z^2 = (w.(2Lp + Lleak))^2 + (2Rpri + Rload)^2.
The effective '2Lp' is the variable that is controlled
by the DC current, by varying the incremental permeability.
DC control will probably be non-linear, more or less
following the shape of the B-H loop.
Another issue, how much power will be involved generating
the DC-current to control say 1.0kVA? Will it be a similar
amount, say 500W dc? Ahem.
I suspect that the control power will be far less than
the normal rated output power of the secondaries.
The B-H loop will show what DC field strength is required
to push the flux density into saturation. An old graph
that I have shows that a sample of 0.014" Silicon Steel
required a polarising field strength of about 5 Oersteds
to reduce the incremental permeability from over 2000 to
about 100.
Polarising field strength, H = 4.pi.N.I/10.le Oersteds.
So the required N.I can be estimated. It would seem
useful to buy unpotted toroidal transformers so that
a few turns can be wound on, to get some idea of the
turns/volt the secondaries were wound at.