Unlike
their E-I counterparts, toroids lend themselves to custom
applications because most designs don't need special costly
tools, such as stamping dies (required for special lamination
forms).
A strip of high-quality grain-oriented silicon steel is
tightly wound in the shape of a clock spring, thus forming
the core of the AMVECO toroid. The coils constituting
the primary and secondary windings are individually wound,
one at a time.
SMALL
SIZE THROUGH REDUCED CORE AND COPPER LOSSES
From
Faraday's equation for induced voltage in a transformer
winding, we derive the following practical equation:
Erms = 4.44 x f x N x B x A x 10-8
Erms = induced voltage in winding
f = Frequency (Hz)
N = Winding turns
B = Flux density
A = Core cross section (cm2)
Increasing the working flux density will permit a lower
number of turns and/or a smaller cross sectional core
area. Experience has shown that working flux densities
of 16k to 18k Gauss can be used in toroids.
Working flux densities of 12k to 14k Gauss are the practical
limits for typical laminated cores with airgaps, Thus,
toroid geometry may directly reduce core material (weight)
or winding turns (copper losses).
FLEXIBLE
DIMENSIONS
As
long as the cross sectional area of the toroidal core
is held constant, the height and diameter may be varied
to meet the designer's requirement. The functional optimum
diameter-to-height ratio is 2:1. For modern equipment
design emphasizing a low profile, a 3:1 ratio, wider diameter
and lower height may be more suitable. In cases where
a smaller "footprint" is desired, a 1.5:1 ratio
should be considered (narrower diameter, higher profile).
The only restrictions are those of the practical limitations
of insulation and winding machinery, A minimum center
hole must be maintained in order to permit the insertion
of the winding machine shuttle into the center hole of
the core.
REDUCED
SIZE REDUCTION THROUGH DUTY CYCLE
A
significant reduction in transformer size and weight may
be realized in many cases where the transformer is loaded
intermittently. In such cases, the load is energized for
a small portion of the period. The period is much shorter
than the overall thermal time constant of the transformer.
The following equation applies: