This invention relates to controlling interwinding
coupling coefficients and leakage inductances of a
transformer, and use of such a transformer in a
high-frequency switching circuit, such as, for example, a
high frequency switching power converter.
With reference to Figure 1, which shows a
schematic representation of an electronic transformer
having two windings 12, 14, the lines of flux associated
with current flow in the windings will close upon
themselves along a variety of paths. Some of the flux
will link both windings (e.g. flux lines 16), and some
will not (e.g. flux lines 20, 22, 23, 24, 26). Flux
which links both windings is referred to as mutual flux;
flux which links only one winding is referred to as
leakage flux. The extent to which flux generated in one
winding also links the other winding is expressed in
terms of the winding's coupling coefficient: a coupling
coefficient of unity implies perfect coupling (i.e. all
of the flux which links that winding also links the other
winding) and an absence of leakage flux (i.e. none of the
flux which links that winding links that winding alone).
From a circuit viewpoint, the effects of leakage flux are
accounted for by associating an equivalent lumped value
of leakage inductance with each winding. An increase in
the coupling coefficient translates into a reduction in
leakage inductance: as the coupling coefficient
approaches unity, the leakage inductance of the winding
approaches zero.
Control of leakage inductance is of importance in
switching power converters, which effect transfer of
power from a source to a load, via the medium of a
transformer, by means of the opening and closing of one
or more switching elements connected to the transformer's
windings. Examples of switching power converters include
DC-DC converters, switching amplifiers and
cycloconverters. For example, in conventional pulse
width modulated (PWM) converters, in which current in a
transformer winding is interrupted by the opening and
closing of one or more switching elements, and in which
some or all of the energy stored in the leakage
inductances is dissipated as switching losses in the
switching elements, a low-leakage-inductance transformer
(i.e. one in which efforts are made to reduce the leakage
inductances to values which approach zero) is desired.
For zero-current switching converters, in which a
controlled amount of transformer leakage inductance forms
part of the power train and governs various converter
operating parameters (e.g. the value of characteristic
time constant, the maximum output power rating of the
converter; see, for example, Vinciarelli, US Patent
4,415,959, incorporated herein by reference), a
controlled-leakage-inductance transformer (i.e. one which
exhibits finite, controlled values of leakage inductance)
is required. One trend in switching power conversion has
been toward higher switching frequencies (i.e. the rate
at which the switching elements included in a switching
power converter are opened and closed). As switching
frequency is increased (e.g. from 50 KHz to above 100
KHz) lower values of transformer leakage inductances are
usually required to retain or improve converter
performance. For example, if the transformer leakage
inductances in a conventional PWM converter are fixed,
then an increase in switching frequency will result in
increased switching losses and an undesirable reduction
in conversion efficiency (i.e. the fraction of the power
drawn from the input source which is delivered to the
load).
A transformer with widely separated windings has
low interwinding (parasitic) capacitance, high static
isolation, and is relatively simple to construct. In a
conventional transformer, however, the coupling
coefficients of the windings will decrease, and the
leakage inductance will increase, as the windings are
spaced farther apart. If, for example, a transformer is
configured as shown in Figure 1, then flux line 23,
generated by winding #1, will not link winding #2 and
will therefore form part of the leakage field of winding
#1. If, however, winding #2 were brought closer to, or
overlapped, winding #1, then flux line 23 would form part
of the mutual flux linking winding #2 and this would
result in an increase in the coupling coefficient and a
decrease in leakage inductance. Thus, in a transformer
of the kind shown in Figure 1, the coupling coefficients
and leakage inductances depend upon the spatial
relationship between the windings.
Prior art techniques for controlling leakage
inductance have focused on arranging the spatial
relationship between windings. Maximizing coupling
between windings has been achieved by physically
overlapping the windings, and a variety of construction
techniques (e.g. segmentation and interleaving of
windings) have been described for optimizing coupling and
reducing undesirable side effects (e.g. proximity
effects) associated with proximate windings. In other
prior art schemes, multifilar or coaxial windings have
been utilized which encourage leakage flux cancellation
as a consequence of the spatial relationships which exist
between current carrying members which form the windings,
or both the magnetic medium and the windings are formed
out of a plurality of small interconnected assemblies, as
in "matrix" transformers. Transformers utilizing
multifilar or coaxial windings, or of matrix
construction, exhibit essentially the same drawbacks as
those using overlapping windings, but are even more
difficult and complex to construct, especially where
turns ratios other than unity are desired. Thus, prior
art techniques for controlling coupling, which focus on
proximity and construction of windings, sacrifice the
benefits of winding separation.
It is well known that conductive shields can
attenuate and alter the spatial distribution of a
magnetic field. By appearing as a "shorted turn" to the
component of time-varying magnetic flux which might
otherwise impinge orthogonally to its surface, a
conductive shield will support induced currents which
will act to counteract the impinging field. Use of
conductive shields around the outside of inductors and
transformers is routinely used to minimize stray fields
which might otherwise couple into nearby electrical
assemblies. See, for example, Crepaz, Cerrino and
Sommaruga, "The Reduction of the External Electromagnetic
Field Produced by Reactors and Inductors for Power
Electronics", ICEM, 1986. Use of an electric conductor
and a cylindrical conducting ring as a means of reducing
leakage fields in induction heaters are described,
respectively, in Takeda, US Patent 4,145,591, and Miyoshi
& Omori, "Reduction of Magnetic Flux Leakage From an
Induction Heating Range", IEEE Transactions on Industry
Applications, Vol 1A-19, No. 4, July/August 1983.
British Patent Specification 990,418, published April 28,
1965, illustrates how conductive shields, which form a
partial turn around both the core and the windings of a
transformer having tapewound windings, can be used to
modify the distribution of the leakage field near the
edges of the tapewound windings, thereby reducing losses
caused by interaction of the leakage field with the
current in the windings. Persson, US Patent 4,259,654,
achieves a similar result by extending the width of the
turn of a tapewound winding which is closest to the
magnetic core.
The effects of conductive shields on the
distribution of electric fields is also well known. In
transformers, conductive sheets have been used as
"Faraday shields" to reduce electrostatic coupling (i.e.
capacitive coupling) between primary and secondary
windings.
In accordance with a first aspect of this invention,
there is provided a transformer, comprising: an
electromagnetic coupler having a magnetic medium providing
flux paths within the said medium and two or more windings
enclosing said flux paths at separated locations along said
flux paths; characterized in further comprising an
electrically conductive medium covering said electromagnetic
coupler at least at selected locations along said flux paths
to thereby restrict the emanation of leakage flux from said
electromagnetic coupler and thus the leakage inductance of
the transformer.
In a second and alternative aspect of this invention,
we provide a method of controlling leakage inductances in a
transformer of the kind having a magnetic medium providing
flux paths within the medium and two or more windings
enclosing separately located segments along said flux paths,
said method comprising providing an electrically conductive
medium covering the magnetic medium at locations along said
flux paths other than the locations at which said windings
are located whereby to restrict the emanation of leakage
flux, said electrically conductive medium including a gap
that prevents the electrically conductive medium forming a
shorted turn.
According to a third alternative aspect thereof, the
invention provides a method for minimizing leakage
inductances in a transformer of the kind having a magnetic
medium providing flux paths within the medium and two or
more windings enclosing separately located segments along
said flux paths, said method comprising enshrouding
substantially all of the surface of said magnetic medium
with an electrically conductive medium but leaving a gap in
said electrically conductive medium to preclude forming a
shorted turn.
The invention provides, in a fourth alternative aspect
thereof, a method for minimizing switching losses in a
switching power converter which includes a transformer of
the kind having a magnetic medium providing flux paths
within the medium and two or more windings enclosing
separately located segments along said flux paths, said
method comprising enshrouding substantially all of the
surface of said magnetic medium with an electrically
conductive medium but leaving a gap in said conductive
medium to preclude forming a shorted turn.
As will become clear from the detailed description
below, in particular embodiments of our transformers,
enhanced coupling coefficients and reduced leakage
inductances of the windings of the transformer can be
achieved while at the same time spacing the windings apart
along the core (e.g. along a magnetic medium that defines
flux paths) to ensure safe isolation of the windings and to
reduce the cost and complexity of manufacturing. Such
transformers are especially useful in high frequency
switching power converters where cost of manufacture must be
minimized and where leakage inductances must either be kept
very low, or set at controlled low values, so as to maintain
high levels of conversion efficiency or govern certain
converter operating parameters. These advantages are
achieved by providing an electrically conductive medium,
covering the electromagnetic coupler at least at selected
In some embodiments, some or all of the
electrically conductive medium comprises electrically
conductive material formed over the surface of the
magnetic medium. In some embodiments, some or all of the
electrically conductive medium comprises electrically
conductive material arranged in the vicinity of the
electromagnetic coupler in the environment outside of the
magnetic medium and the windings.
The conductive medium is configured to define a
preselected spatial distribution of flux outside of the
magnetic medium, and is arranged to preclude forming a
shorted turn with respect to flux which couples the
windings. Some or all of the conductive medium may
comprise sheet metal formed to lie on a surface of the
magnetic medium, or may be plated on the surface of the
magnetic medium, or may be metal foil wound over the
surface of the magnetic medium. Some or all of the
conductive medium may be comprised of two or more layers
of conductive materials. Some or all of the conductive
medium may comprise copper or silver, or a
superconductor, or a layer of silver plated over a layer
of copper.
The conductive medium may include apertures which
control the spatial distribution of leakage flux which
passes between the apertures. The reluctance of the
path, or paths, between the apertures may be reduced by
interposing a magnetic medium along a portion of the
path, or paths, between the apertures. A second
electrically conductive medium may enclose some or all of
the region between the apertures, the second conductive
medium acting to confine the flux to the region enclosed
by the second conductive medium. The second conductive
medium may form a hollow tube which connects a pair of
the apertures, the hollow tube being arranged to preclude
forming a shorted turn with respect to flux passing
between the apertures.
The conductive medium may comprise one or more
conductive metal patterns arranged over the surface of
the magnetic medium at locations along the flux paths.
The conductive medium may enshroud essentially all of the
surface of the magnetic medium at each of several
distinct locations along the flux paths, or may enshroud
essentially the entire surface of the magnetic medium.
The conductive medium may comprise one or more
electrically conductive sheets arranged in the vicinity
of the electromagnetic coupler in the environment outside
of the magnetic medium and the windings. The windings
and the magnetic medium lie in a first plane and the
metallic sheets lie in planes parallel to the first
plane. The metallic sheets form one or more of the
surfaces of a switching power converter which includes
the high frequency circuit. In some embodiments, the
conductive medium comprises a hollow open-ended metallic
tube arranged outside of the electromagnetic coupler.
The thickness of the conductive medium may be one or more
skin depths (or three or more skin depths) at the
operating frequency. The domain of the magnetic medium
is either singly, doubly, or multiply connected. One or
more of the flux paths includes one or more gaps. The
magnetic medium is formed by combining two or more (e.g.,
U-shaped) magnetic core pieces. The core pieces may have
different values of magnetic permeability. One or more
of the windings comprise one or more wires (or conductive
tape) wound around the flux paths (e.g., over the surface
of a hollow bobbin, each bobbin enclosing a segment of
the magnetic medium along the flux paths).
In some embodiments, at least one of the windings
comprises conductive runs formed on a substrate to serve
as one portion of the winding, and conductors connected
to the conductive runs to serve as another portion of the
winding, the conductors and the conductive runs being
electrically connected to form the winding. At least one
of the conductors is connected to at least two of the
conductive runs. The substrate comprises a printed
circuit board and the runs are formed on the surface of
the board. The magnetic medium comprises a magnetic core
structure which is enclosed by the windings. The
magnetic core structure forms magnetic flux paths lying
in a plane parallel to the surface of the substrate.
In some embodiments, the conductive medium
comprises electrically conductive metallic cups, each of
the cups fitting snugly over the closed ends of the core
pieces. Electrically conductive bands may be configured
to cover essentially all of the surface of the magnetic
domain at locations which are not covered by the first
conductive medium, the bands being configured to preclude
forming a shorted turn with respect to flux which couples
the windings, the bands also being configured to restrict
the emanation of flux from the surfaces which are covered
by the bands at the operating frequency.
In general, in other aspects, the invention
features the transformer itself, a switching power
converter, a switching power converter module, and
methods of controlling or minimizing leakage inductance,
minimizing switching losses in switching power
converters, transforming power, and making lot-of-one
transformers.
Other advantages and features will become apparent
from the following description and from the claims.
We first briefly describe the drawings.
Fig. 1 is a schematic view of a conventional
two-winding transformer.
Fig. 2 is a linear circuit model of a two-winding
transformer.
Fig. 3 is a perspective view of flux lines in the
vicinity of a core piece.
Fig. 4 is a perspective view of flux lines and
induced current loops in the vicinity of a core piece
covered with a conductive medium.
Fig. 5 is a perspective view of a conductive
medium comprising conductive sheets arranged in the
environment outside of the magnetic medium and windings.
Fig. 6 is a schematic diagram of a switching power
converter circuit which includes a transformer according
to the present invention.
Figs. 7A and 7B show, respectively, a partially
exploded perspective view of a transformer and a
perspective view, broken away, of an alternate embodiment
of the transformer of Fig. 7A which includes a conductive
band.
Fig. 8 illustrates the measured variation of the
primary-referenced leakage inductance, with the secondary
winding shorted, as a function of frequency, for the
transformer of Fig. 7 both with and without the
conductive cups.
Fig. 9 is a top view, partly broken away, of a
transformer.
Fig. 10 is a side view, partly broken away, of the
transformer of Fig. 9.
Fig. 11 shows a one-piece conductive medium
mounted over a portion of a magnetic core and indicates
one continuous path through which induced currents may
flow within the conductive medium.
Fig. 12 shows a conductive medium, formed of two
symmetrical conductive pieces separated by a slit,
mounted over a portion of a magnetic core.
Fig. 13 shows an example of an induced current
flowing along a path in the conductive medium of Figure
11.
Fig. 14 shows two induced currents, flowing along
paths in the two parts which form the conductive medium
of Figure 12, which will produce essentially the same
flux confinement effect as that caused by the induced
current illustrated in Fig. 13.
Figs. 15A through 15C illustrate the effects of
slits in a conductive medium on the losses associated
with the flow of induced currents in the conductive
medium.
Figs. 16 through 18 show techniques for
enshrouding a portion of a magnetic core.
Fig. 19 is a sectional side view of a DC-DC
converter module showing the spatial relationships
between the core and windings of a transformer and a
conductive metal cover.
Fig. 20 illustrates a transformer comprising a
core and windings interposed between a conductive medium
comprising parallel conductive plates and the effects of
various arrangements of the conductive medium on the
primary-referenced leakage impedance.
Fig. 21 illustrates a transformer comprising a
core and windings enclosed within a conductive medium
comprising a conductive metal tube and the effects of
various arrangements of the conductive medium on the
primary-referenced leakage impedance.
Fig. 22 shows a transformer having a multiply
connected core which forms two looped flux paths.
Fig. 23 shows a conductive medium comprising two
layers of different conductive materials.
Fig. 24 is a perspective view of a metal piece.
Fig. 25 is a top view of another transformer.
Fig. 26 shows one way of using a hollow tube,
connected between a pair of apertures at either end of
the conductive medium which covers a looped core, as a
means of confining leakage flux to the interior of the
tube.
Fig. 27 is a perspective view of a prior art
transformer built with windings formed of conductors and
conductive runs.
Figs. 28A and 28B show an example of a transformer
according to the present invention which uses the winding
structure of Figure 27.
Figure 1 is a schematic illustration of a two
winding transformer. The transformer comprises a
magnetic medium 18, having a permeability, µr (which is
greater than the permeability, µe, of the environment
outside of the magnetic medium), and two windings: a
primary winding 12 having N1 turns, and a secondary
winding 14 having N2 turns. Both windings enclose the
magnetic medium. Some of the lines of magnetic flux
associated with current flow in the windings are shown as
dashed lines in the Figure. Some of the flux links both
windings (e.g. flux lines 16), and some does not (e.g.
flux lines 20, 22, 23, 24 and 26). Flux which links both
windings is referred to as mutual flux; flux which links
one winding but which does not link the other is referred
to as leakage flux. Thus, in Figure 1, the flux lines
can be segregated into three categories: lines of mutual
flux, fm, which link both windings (e.g. lines 16); lines
of leakage flux associated with the primary winding, fl1
(e.g. lines 20, 22, and 23); and lines of leakage flux
associated with the secondary winding, fl2 (e.g. lines 24
and 26). The total flux linking the primary winding is
therefore f1 = fl1 + fm, and the total flux linking the
secondary winding is f2 = fl2 + fm. The degree to which
flux generated in one winding links the other is usually
characterized by defining a coupling coefficient for each
winding:
k1 = dfm1 df1 = d(f1 - fl1)df1 = 1 - dfl1 df1
where the changes in flux, df1 and dfm1, are due solely
to changes in the current, i1, flowing in the primary
winding, and
k2 = dfm2 df2 = d(f2 - fl2)df2 = 1 - dfl2 df2
where the changes in flux, df2 and dfm2, are due solely
to changes in the current, i2, flowing in the secondary
winding.
Leakage flux is solely a function of the current
in one winding, whereas mutual flux is a function of the
currents in both windings. Winding voltage, in
accordance with Faraday's law, is proportional to the
time rate-of-change of the total flux linking the
winding. The voltage across either winding is therefore
related to both the time rate-of-change of the current in
the winding itself as well as the time rate of change of
the current in the other winding. From a circuit
viewpoint, the interdependencies between the winding
voltages and currents are conventionally modeled by using
lumped inductances, which, by relating gross changes in
flux to changes in winding current, provide a means for
directly associating winding voltages with the time
rates-of-change of winding currents. Figure 2 shows one
such linear circuit model 70 for the two winding
transformer of Figure 1 (see, for example, Hunt & Stein,
"Static Electromagnetic Devices", Allyn & Bacon, Boston,
1963, pp. 114 - 137). The circuit model (which neglects
interwinding and intrawinding capacitances) includes a
primary leakage inductance 72, of value
Ll1 = N1 dfl1 di1 ,
which accounts for the changes in total primary leakage
flux in response to changes in primary winding current,
i1; a secondary leakage inductance 74, of value
L12 = N2 dfl2 di2 ,
which accounts for the changes in total secondary leakage
flux in response to changes in secondary winding current,
i2; an "ideal transformer" 78, having a turns ratio a =
N1/N2, which accounts for the effects of turns ratio on
the primary and secondary voltages and currents and for
the electrical isolation between windings; a
primary-referenced magnetizing inductance 76, of value
aM, where M, the mutual inductance of the transformer,
accounts for the total change in mutual flux linking one
winding as a result of a change in current in the other;
and resistances Rp 77 and Rs 79 which account for the
ohmic resistance of the windings. Since, by definition,
the mutual flux links both windings, an equal change in
ampere-turns in either winding must produce an equal
change in mutual flux. Thus,
dfm d(N1i1) = dfm d(N2i2)
and
M = N1 dfm di2 = N2 dfm di1 .
Thus, the relationships between the winding currents and
voltages, as predicted by the circuit model of Figure 2 are:
v1 - i1R1 = L1 di1dt + M di2dt , v2 - i2R2 = L2 di2dt + M di1dt ,
where L1 and L2 are, respectively, the total primary and
secondary self-inductances:
L1 = Ll1 + a·M L2 = Ll2 + Ma
and these relationships can be shown to be consistent
with behavior predicted by principles of electromagnetic
induction. With reference to Equations 1 through 6, the
coupling coefficients may be expressed in terms of the
transformer inductances:
k1 = 1 - Ll1L1
and
k2 = 1 - Ll2L2 .
In most transformer applications, and particularly
in the case of transformers which are used in switching
power converters, both the relative and absolute values
of the transformer inductances are of importance. In
conventional PWM converters it is desirable to keep
leakage inductances very low and magnetizing inductance
high. In zero-current switching converters, high
magnetizing inductance along with controlled and
predictable values of leakage inductance are desired.
For a conventional transformer of the kind shown in
Figure 1, mutual inductance (and, hence, magnetizing
inductance), leakage inductances and coupling
coefficients are dependent on both the physical
arrangement and electromagnetic characteristics of the
constituent parts. For example, increasing the
permeability of the magnetic medium 18 will increase
mutual and magnetizing inductance, but will have much
less effect on leakage inductance (because some or all of
the path lengths of all of the leakage flux lines lie in
the lower permeability environment outside of the
magnetic media). Thus, increasing the permeability of
the magnetic medium will improve coupling and increase
magnetizing inductance, but will have a much smaller
effect on the values of the leakage inductances. If,
however, the windings 12, 14 are moved closer together,
or are made to overlap, then lines of flux which would
otherwise form part of the leakage field of each winding
can be "converted" into mutual flux which couples both
windings. In this way, the ratio of leakage flux to
mutual flux is decreased, resulting in a reduction in the
values of the leakage inductances and an improvement in
coupling coefficients. Conversely, further separating
the windings, by, for example, increasing the length of
the magnetic media which couples the windings, will
result in increased leakage flux, increased leakage
inductance, poorer coupling and decreased magnetizing
inductance (due to a longer mutual flux path length). In
general, then, in conventional transformers, leakage
inductance values are dependent upon proximity of
windings, and increased winding separation is
inconsistent with low values of leakage inductance and
high values of coupling coefficient.
There are, however, drawbacks associated with
closely spaced windings. In switching power converters,
for example, closer spacings between windings translate
into reduced interwinding breakdown voltage ratings and
increased interwinding capacitances. These drawbacks
become more problematical as switching frequency is
increased, since, for a given level of performance (e.g.
efficiency in PWM DC-DC converters or switching
amplifiers; power throughput in zero-current switching
converters), operation at higher frequencies usually
demands even lower values of leakage inductances. Thus,
at higher switching frequencies (e.g. above 100 KHz), it
becomes more difficult, using prior art constructions, to
provide low enough values of leakage inductance while
maintaining appropriate levels of interwinding voltage
isolation and low values of interwinding capacitance. It
is one object of the present invention, then, to
simultaneously provide for: (a) accommodating separated
windings as a means of providing high interwinding
breakdown voltage and low interwinding capacitance, (b)
achieving very low, or controlled, values of leakage
inductances, and (c) maintaining high values of coupling
coefficients. These attributes are of particular value
in switching power converters which operate at relatively
high frequencies (e.g. above 100 KHz).
Instead of adjusting the spatial relationship
between windings to achieve maximum flux linkage, a
transformer according to the present invention uses a
conductive medium to enhance flux linkage by selectively
controlling the spatial distribution of flux in regions
outside of the magnetic medium. If the conductive medium
has an appropriate thickness (discussed below) then, at
or above some desired transformer operating frequency, it
will define a boundary which efficiently contains and
suppresses leakage flux and increases the coupling
coefficient of the transformer. For example, Figure 3
illustrates a portion of closed magnetic core structure
142 which is not covered with a conductive medium. Lines
of time-varying flux 144, 150, 152, 154, 156, 158
(produced, for example, by current flow in windings on
the two legs of the core, which windings are, for
clarity, not shown) are broadly distributed outside of
the core. Flux lines 152 and 154 are lines of mutual
flux (i.e. they would link both of the windings) which
follow paths which are partially within the core and
partially outside of the core. Flux lines 144, 150, 156
and 158 are lines of leakage flux (i.e. they would link
only one of the windings). Figure 4 shows the core 142
housed by a conductive medium comprising a conductive
sheet 132 formed over the surface of the core. A slit
140 prevents the sheet from appearing as a "shorted turn"
to the time-varying flux which is carried within the
magnetic medium. In those areas of the core which are
covered by the conductive sheet, emanation of flux from
the core in a direction orthogonal to the surface of the
conductive sheet will be counteracted by induced currents
(e.g. 170, 172) which flow in the conductive medium.
In the embodiment of Figure 4, where the
conductive medium lies on the surface of the magnetic
medium, the conductive medium can contain and suppress
flux which would otherwise follow paths which lie
partially within and partially outside of the magnetic
medium. With reference to Figure 1, however, certain
leakage flux paths lie entirely outside of the magnetic
medium (e.g. in Figure 1, flux lines 22 and 26). In
another embodiment, shown schematically in Figure 5, the
conductive medium is arranged so that it contains and
suppresses flux which emanates from the surfaces of the
magnetic medium, as well as flux which follows paths
outside of the magnetic medium. In the Figure, a
transformer 662 having separated windings is arranged
between sheets 664, 666 of electrically conductive
material. Emanation of flux from the core or windings in
a direction orthogonal to the surface of the conductive
sheets will be counteracted by induced currents (e.g.
670, 672) which flow in the conductive sheets. In
general, the embodiments of Figures 4 and 5 can be
combined: flux supression and confinement can be achieved
by combining conductive media which lay on the surface of
the magnetic medium, with conductive media which are in
the vicinity of, but located in the environment outside
of, the magnetic medium and windings. By acting to
confine and suppress leakage flux within domains bounded
by the conductive media, the effect of conductive media
of appropriate conductivity and thickness is to decrease
the leakage inductance and increase the coupling
coefficients. Thus, rather than adjusting winding
proximity as a means of linking flux which emanates from
the magnetic media (and which would otherwise contribute
to the leakage field), a transformer according to the
present invention utilizes conductive media to define
boundaries outside of the magnetic medium and windings
within which leakage flux is confined and suppressed.
The spatial distribution of leakage fields, in
transformers with separated windings, may be engineered
to allow leakage inductance to be controlled, or
minimized, essentially independently of winding
proximity.
Figure 6 shows, schematically, one example of a
switching power converter circuit which includes a
transformer according to the present invention. The
switching power converter circuit shown in the Figure is
a forward converter switching at zero-current, which
operates as described in Vinciarelli, US Patent
4,415,959. In the Figure, the converter comprises a
switch 502, a transformer 504 (for clarity both a
schematic construction view 504A, partially cut away, of
the transformer is shown, as is a schematic circuit
diagram 504B which better indicates the polarity of the
windings), a first unidirectional conducting device 506,
a first capacitor 508 of value C1, a second
unidirectional conducting device 510, an output inductor
512, a second capacitor 514, and a switch controller 516.
The converter input is connected to an input voltage
source 518, of value Vin; and the voltage output, Vo, of
the converter is delivered to a load 520. The
transformer 504A comprises a magnetic medium 530,
separated primary 532 and secondary 534 windings, and a
conductive medium. Portions of the conductive medium
536, 538 lie on the surface of the magnetic medium (one
536 being partially cut away to show the underlying
magnetic medium); other portions of the conductive medium
538, 540 are in the vicinity of, but located in the
environment outside of, the magnetic medium and the
windings (one 540 being cut away for clarity). The
transformer is characterized by a ratio of primary to
secondary turns, N1/N2 = a, primary and secondary
coupling coefficients k1 and k2, respectively, both of
which are close to unity in value, a primary leakage
inductance of value Ll1, and a secondary leakage
inductance of value Ll2. The secondary-referenced
equivalent leakage inductance of the transformer is
approximately equal to Le = Ll2 + (Ll1/a2). In
operation, closure of the switch by the switch controller
516 (at times of zero current flow in the switch 502)
causes the switch current, Ip(t) (and, as a result, the
current, Is(t), flowing in the secondary winding and the
first diode), to rise and fall during an energy transfer
phase having a a characteristic time scale
pi·sqrt(Le·C1). When the switch current returns to zero
the switch controller opens the switch. The pulsating
voltage across the first capacitor is filtered by the
output inductor and the second capacitor, producing an
essentially DC voltage, Vo, across the load. The switch
controller compares the load voltage, Vo, to a reference
voltage, which is indicative of some desired value of
converter output voltage and which is included in the
switch controller but not shown in the Figure, and
adjusts the switching frequency (i.e. the rate at which
the switch is closed and opened) as a means of
maintaining the load voltage at the desired value. As
indicated in Vinciarelli, US patent 4,415,959, (a)
converter efficiency is improved as the coupling
coefficients of the transformer approach unity; (b) a
controlled value of Le is a determinant in setting both
the maximum converter output power rating and the
converter output frequency, and (c) decreasing the value
of Le corresponds to increased values of both maximum
allowable converter output power and converter operating
frequency. Both high coupling coefficients (i.e.
approaching unity) and controlled low values of leakage
inductances are therefore desirable in such a converter.
Traditionally, prior art transformer constructions (e.g.
overlaid windings) have been used to achieve this
combination of transformer parameters. However, compared
to transformer constructions using separated windings,
prior art constructions are more complex, have higher
interwinding capacitances, and require much more complex
interwinding insulation systems to ensure appropriate,
and safe, values of primary to secondary breakdown
voltage ratings.
The effectiveness of the conductive medium in any
given application will depend upon its conductivity and
thickness. The thickness of the conductive medium is
selected to ensure that the conductive medium can act as
an effective barrier to flux at or above the operating
frequency of the transformer, and, in this regard, the
figure of merit is the skin depth of the conductive
material at frequencies of interest:
δ = 12π 107 f· ·ρµr
where d is the skin depth in meters, ρ is the resistivity
of the material in ohm-meters, µr is the relative
permeability of the material, and f is the frequency in
Hertz. Skin depth is indicative of the depth of the
induced current distribution (and the penetration depth
of the flux field) near the surface of the material (see,
for example, Jackson, "Classical Electrodynamics", 2nd
Edition, John Wiley and Sons, copyright 1975, pp. 298,
335 - 339). For a perfectly conducting medium (i.e. a
material for which ρ = 0, for example, a
"superconductor"), skin depth is zero and induced
currents may flow in the conductive medium in a region of
zero depth without loss. Under these circumstances,
there can be no flux either inside or outside of the
conductive medium which is orthogonal to the surface.
For finite resistivity, the depth of the induced current
distribution near the surface of the material will
increase with resistivity and decrease with frequency.
In general, use of high conductivity material (e.g.
silver, copper) is preferred both to minimize skin depth
and to minimize losses associated with induced current
flow. The thickness of the conductive medium, and the
degree to which it enshrouds the magnetic medium, will,
however, be application dependent. A conductive medium
with a thickness greater than or equal to three skin
depths at the operating frequency of the transformer
(i.e. at the lowest frequency associated with the
frequency spectrum of the current waveforms in the
windings) will be essentially impregnable to flux, and
such a conductive medium, enshrouding essentially the
entire surface of the magnetic medium, would be
appropriate where minimum leakage inductance is desired
(e.g. in a low-leakage inductance transformer for use in
a PWM power converter). For copper having a resisitivity
of 3·10-8 ohm-meter, three skin depths corresponds to
0.26mm (10.3·10-3 inches) at 1 MHz; 0.52 mm (0.021 inches)
at 250 KHz; 0.83 mm (0.033 inches) at 100 KHz; 1.9 mm
(0.073 inches) at 20 KHz; and 33.8 mm (1.33 inches) at 60
Hz. Conductive media which are thinner than three skin
depths at the transformer operating frequency, and which
cover only a portion of the surface of the magnetic
medium, can also provide significant flux confinement and
reduction of leakage inductance, and, in general, a
controlled amount of leakage inductance can often be
achieved by use of either a relatively thin conductive
medium (e.g. one skin depth at the transformer operating
frequency) covering an appropriate percentage of the
surface of the magnetic medium, or by use of a thicker
conductive medium (e.g. three or more skin depths)
covering a smaller percentage. In general, thicker
coatings covering smaller areas are preferred because
losses associated with flow of induced currents in the
conductive medium will be lower in the thicker medium.
Referring to Fig. 7, in one example, a controlled
leakage inductance transformer 30, for use, for example,
in a zero-current switching converter, includes a
magnetic core structure having two identical core pieces
32, 34. Two plastic bobbins 36, 38 hold primary and
secondary windings 40, 42. The ends of the windings are
connected to terminals 44, 46, 48, 50. Two copper
conductive cups 52 (formed by cutting, bending, and
soldering high conductivity copper sheet) are slip fitted
onto the cores to form the conductive medium. For the
transformer shown, the distance between the ends of the
mated core halves is 1.1 inches, the outside width of the
core pieces is 0.88 inches, the height of the core pieces
is 0.26 inches, and the core cross sectional area is an
essentially uniform .078 in2. The core is made of type R
material, manufactured by Magnetics, Inc., Butler,
Pennsylvania. The two copper cups are 0.005 inches thick
and fit snugly over the ends of the core pieces. The
length of each cup is 0.31 inches. The primary winding
comprises 20 turns of 1x18x40 Litz wire, and the
secondary comprises 6 turns of 3x18x40 Litz wire.
Primary and secondary winding DC resistances are
Rpri=0.17 ohms and Rsec=0.010 ohms, respectively.
Without the cups in place, the measured total primary
inductance of the transformer, with the secondary
open-circuit (i.e. the sum of the primary leakage
inductance and the magnetizing inductance), was
essentially constant and equal to 450 microHenries
between 1 KHz and 500 KHz, rising to 500 microHenries at
1 MHz, owing to peaking of the permeability value of the
material near that frequency. With the cups, the total
primary inductance of the transformer, with the secondary
open-circuit, was again essentially constant and equal to
440 microHenries between 1 KHz and 500 KHz, rising to 490
microHenries at 1 MHz, again owing to peaking of the
permeability value of the material near that frequency.
Measurements of transformer primary inductance, with the
secondary winding short circuited, Lps, were taken
between 1KHz and 1MHz, both with and without the cups in
place, the results being shown in Figure 8. In the
Figure, Lps1 is the inductance for the transformer
without the cups; Lps2 is the inductance for the
transformer with the cups. At frequencies above a few
kilohertz, inductive effects predominate (e.g. the
inductive impedances are relatively large in comparison
to the winding resistances) and, owing to the relatively
large value of magnetising inductance, the measured
values of Lps1 and Lps2 are, with reference to Figure 2,
essentially equal to the sum of the primary-referenced
values of the two leakage inductances, Lps = Ll1 + a2Ll2.
Lps can therefore be referred to as the
primary-referenced leakage inductance. For the
transformer without the cups, the primary-referenced
leakage inductance is essentially constant over the
frequency range, whereas for the transformer with the
cups, the primary-referenced leakage inductance declines
rapidly and is essentially constant above about 250 KHz
(at which frequency the thickness of the cups corresponds
to about one skin depth), converging on a value of about
14 microhenries (a 55% reduction compared to the
transformer without the cups). The interwinding
capacitance of the transformer (i.e. the capacitance
measured between the primary and secondary windings) was
measured and found to be 0.56 picoFarads.
Referring to Figs. 9 and 10, in another example a
low-leakage inductance transformer 110, for use, for
example, in a PWM power converter, includes a magnetic
core structure having two U-shaped core pieces 112, 114
which meet at interfaces 116. Two copper housings 126,
128 are formed over the U-shaped cores and also meet at
the interface 116. Each copper housing includes a narrow
slit 140 (the location of which is indicated by the arrow
but which is not visible in the Figures) which prevent
the copper housings from appearing as shorted turns
relative to the flux passing between the two windings.
(In Soviet patent 620805, Perepechki & Fedorov, form an
"open turn flush with a magnetic circuit" as a means of
performing conductivity measurements based upon the
magnetic shielding effect of a conductive material; in
British Patent Specification 990,418, open turns are used
to modify the distribution of the leakage field near the
edges of tapewound windings, thereby reducing losses
caused by interaction of the leakage field with the
current in the windings.) Two hollow bobbins 118, 120 are
wound with wire to form primary and secondary windings
122, 124. The two bobbins are arranged side-by-side and
the ends of the two U-shaped cores, along with their
respective conductive housings, lie within the hollows of
the bobbins to form a closed magnetic circuit which
couples the windings. In the transformer of Figures 9
and 10, the conductive medium covers essentially all of
the surface of the magnetic core.
As an example of the effect of essentially
completely enshrouding the magnetic core with a
conductive metal housing, a transformer of the kind shown
in Figure 7, having the dimensions, core material and
winding configuration previously cited, was modified by
(a) replacing the copper cups with a 0.0075 inch thick
coating of copper which was plated directly onto the core
pieces using an electroless plating process, but which
otherwise had the same shape and dimensions of the copper
cups previously cited, and (b) adding 0.005 inch thick
copper bands underneath the winding bobbins. As shown
Figure 7B, which shows a broken away view of the
transformer with one band 53 visible, the bands, which
extended under the windings (not shown in Figure 7B) from
the edge of one copper cup 52 to the edge of the other
54, were wrapped around the legs of each core piece 32,
34 leaving a narrow slit 55 (approximately 0.030 inches
wide) along the inside surface of the core to prevent
forming a shorted turn. Without the copper cups or
bands, the values of the total primary inductance and the
primary-referenced leakage inductance were as previously
cited. However, with the cups and bands in place, the
measured value of primary referenced leakage inductance
was reduced to 5.6 microHenry at 1 MHz (an 82%
reduction). The interwinding capacitance for this
transformer was measured and found to be 0.64 picoFarads.
For comparative purposes, a prior art transformer
was constructed to exhibit essentially the same value of
primary-referenced leakage inductance as the transformer
described in the previous paragraph. The prior art
transformer was constructed using the same core pieces
and the same primary winding used in the previously cited
examples, but, instead of having separated windings, the
secondary winding was overlaid on top of the primary
winding and the radial spacing between windings was
adjusted (to about 0.030 inch) to achieve the desired
value of primary-referenced leakage inductance. The
primary-referenced leakage inductance of the prior art
transformer constructed with overlaid windings was 5.31
microHenry at 1 MHz, and the interwinding capacitance was
4.7 picoFarads. Thus, for a comparable value of leakage
inductance, the transformer according to the present
invention had a greater than sevenfold reduction in
interwinding capacitance and a significantly greater
interwinding breakdown voltage capability owing to its
separated windings.
In transformer embodiments in which the
conductive medium is overlaid on the surface of the
magnetic medium, it is desirable to arrange the
conductive medium so that (a) it enshrouds surfaces of
the magnetic media from which the bulk of the leakage
flux would otherwise emanate, (b) it does not form a
shorted turn with respect to mutual flux, and (c) losses
associated with the flow of induced currents in the
conductive medium are minimized. Surfaces of the
magnetic medium through which the majority of leakage
flux can be expected to emanate will depend on the
specific configuration of the transformer. For example,
for the transformer of Figure 7 without the conductive
cups 52,54, the bulk of the leakage flux will emanate
from the outward facing surfaces of the magnetic core and
a much smaller fraction of flux will pass between the
opposing inner faces 56 of the core pieces. Thus, for a
transformer of the kind shown in Figure 7, covering the
outward facing surfaces with a conductive medium will
result in containment of the majority of the leakage
flux. However, the physical arrangement of the
conductive medium cannot be arbitrarily chosen, since
flow of induced currents in the conductive medium will
result in power loss in the medium, and the relative
amount of this loss will differ for different
arrangements of the medium. For example, Figures 11 and
12 illustrate two possible ways of arranging a conductive
medium to cover the outward facing surfaces of a core
piece 304. In Figure 11, the conductive medium 302
overlays the entire outer surface at the end of the core
piece, similar to the cup used in the transformer of
Figure 7. In Figure 12, the conductive medium also
covers essentially the entire outer surface of the end of
the core piece, but, instead of being formed as a single
continuous piece it is formed out of two symmetrical
parts 306, 308 which are separated by a very narrow slit
310. Neither the conductive medium in Figure 11, nor the
one in Figure 12 form a shorted turn with respect to
mutual flux. Since the conductive media in both Figures
cover essentially all of the outward facing surfaces at
the end of the core piece, each can be expected to have a
similar effect in terms of containing leakage flux (i.e.
each conductive medium would have an essentially similar
effect in reducing leakage inductance). However, equal
flux containment implies essentially equivalent
distributions of induced current in each conductive
medium, and in order for this to be so, currents will
flow along paths in the conductive medium of Figure 12
that do not flow in the conductive medium of Figure 11.
For example, consider an induced current flowing along
path A in the conductive medium of Figure 11. As shown
in Figure 13 (which shows current flowing in path A as
viewed from above the conductive medium) this current can
flow continuously along the front 312, sides 314, 318 and
rear 316 of the medium. Because of the presence of the
slit in the conductive medium of Figure 12, however, an
uninterrupted loop of current cannot flow along a similar
path. Instead, a loop of current will flow in each part
of the conductive medium, as shown in Figure 14 (which
shows currents flowing in the two parts of the conductive
medium of Figure 12 as viewed from above). Since the
slit is narrow, the magnetic effects of the currents
which flow in opposite directions along the edges of the
slit 320, 322 will tend to cancel, and the net flux
containment effect of the two current loops in Figure 14
will be essentially the same as the effect of the single
loop of Figure 13. However, the currents flowing along
the edge of the slit (320, 322 Figure 14) will produce
losses in the conductive medium of Figure 12 that are not
present in the conductive medium of Figure 11. In
general, then, the arrangement of the conductive medium
of Figure 11 will be more efficient (i.e. exhibit lower
losses) than that of Figure 12 because, for equivalent
current distributions, the presence of the slit in the
conductive medium of Figure 12 will give rise to current
flow, and losses, along the edges of the slit which do
not exist in the conductive medium of Figure 11.
To illustrate the effect of interrupting
current paths in the conductive medium, a transformer of
the kind shown in Figure 7, having the dimensions, core
material and winding configuration previously cited, was
modified by replacing the copper cups with a 0.009 inch
thick layer of copper tape, but which otherwise had the
same shape and dimensions of the copper cups previously
cited. The primary-referenced leakage impedance (i.e.
the equivalent series inductance and series resistance
measured at the primary winding with the secondary
winding shorted) was measured at a frequency of 1 MHz
under three different conditions (see Figure 15): with no
conductive medium in place; with a fully intact
conductive medium in place; with a continuous narrow slit
(approximately .010 inches wide) cut along the sides and
top of the conductive media at both ends of the
transformer (Figure 15A); and with both the latter slit
and with slits cut vertically in both conductive media
along the center of each face of the core (Figure 15B).
The equivalent series resistance without the conductive
media in place can be considered as a baseline indicative
of losses in the windings (due to winding resistance,
including skin effect in the windings themselves) and in
the core. The increase in resistance for units with the
conductive media in place is due to the presence of the
media itself. As shown in Figure 15C, an increase in the
extent to which the slits disrupt conductive paths within
the media has a relatively small effect on leakage
inductance, but the effect on equivalent series
resistance is very significant. In general, then, for a
desired amount of flux confinement, the efficiency of the
transformer can be optimized by arranging the conductive
medium so that it: (a) covers those surfaces of the
magnetic medium from which the majority of leakage flux
would otherwise emanate (without forming a shorted turn
with respect to mutual flux), and (b) forms an
uninterrupted conductive sheet across those surfaces.
In cases where minimum leakage inductances are
sought (e.g. in a low-leakage inductance transformer for
use in a PWM converter), it is desirable to completely
enshroud the magnetic medium with conductive material
while avoiding forming a shorted turn with respect to the
flux which couples the windings. For example, in Figure
16, which shows a sectioned view of a conductively coated
core piece, two copper housings 202a, 202b, are overlaid
(or plated) over the magnetic core medium 200. Slits 208
separate the two copper housings. Two copper strips
206a, 206b overlay the slits, one of the strips 206b
being electrically connected to the copper housings, and
one of the strips 206a being electrically insulated from
the housings by an interposed strip of insulating
material 204. A copper tape, having an insulating,
self-adhesive, backing could be used instead of separate
copper and insulating strips. Another technique, shown
in Figure 17, uses a layer of copper 214 and a layer of
insulating material 216 to completely enshroud the
magnetic core 216. The insulating material prevents the
copper from forming a shorted turn at the region in which
the layers overlap. In Figure 18, a tape 222 composed of
a layer of adhesive coated copper 226 and a layer of
insulating material 224 is shown being wound around a
magnetic core 220. With reference to the discussion in
the preceding paragraph, use of a relatively wide tape
will minimize losses associated with disruption of
optimal current distribution in a conductive medium
formed in this way. These, and other techniques using
one or more patterns of conductive material, can be used
to form conductive coatings which maximize flux
confinement within the magnetic core (or a portion
thereof) without creating shorted turns.
The transformer embodiments described above have
been of the kind where a conductive medium is overlaid
directly upon the surface of the magnetic medium. In
other embodiments, the conductive medium may be formed of
conductive sheets which are arranged in the environment
surrounding the magnetic medium and the windings (e.g. as
shown schematically in Figure 5). In an important class
of applications - modular DC-DC switching converters -
the transformer may already be located in close proximity
to a relatively thick conductive baseplate which forms
one of the surfaces of the packaged converter. For
example, Figure 19 shows a sectioned side view of one
such converter module wherein the core 902 and the
windings 904, 906 of a transformer lie in a plane which
is parallel to a metal baseplate 908 which forms the top
of the unit. The transformer is mounted to a printed
circuit board 910 which contains other electronic
components, and a nonconductive enclosure 912 surrounds
the remainder of the unit. The effects on
primary-referenced leakage impedance of parallel
conductive sheets in the vicinity of a transformer of the
kind shown in Figure 7A (having the same dimensions,
materials, and windings), and the effects of parallel
sheets in combination with conductive media overlaid on
the magnetic media, are illustrated in Figure 20. As
shown in the Figure, measurements of primary-referenced
leakage impedance, at a frequency of 1 Mhz, were taken
under four different conditions: with no conductive
medium in the vicinity of the transformer (which, in
Figure 20 appears as an end view of the windings 904, 906
and magnetic core 902) and without any copper cups (i.e.
52, 54 Figure 7A) over the ends of the magnetic core;
with the transformer centered on the surface of a flat
plate 914 made of 6063 aluminum alloy (r = 3.8x10-8
ohm-meters), measuring 2.4" x 4.6" x 0.125", and without
the copper cups over the ends of the magnetic core; with
the transformer, without the copper cups over the ends of
the magnetic core, centered on the cited aluminum plate
and with a piece of 0.005" thick soft copper sheet 916,
sized to overhang the periphery of the transformer by
approximately 0.25" along each side, placed over the
opposite side of the transformer, essentially in parallel
with the aluminum plate; and in the latter configuration,
but with the copper cups (not shown in the Figure), of
the kind previously described, added to both ends of the
transformer's magnetic core (i.e. as shown in Figure 7A).
As shown in the Table in Figure 20, the aluminum plate
reduces the primary-referenced leakage inductance by
about 30%, with little effect on equivalent series
resistance; the combination of the two parallel sheets of
aluminum and copper produces a greater than 50% reduction
in primary-referenced leakage inductance (comparable to
the effects of the copper cups alone, as shown in Figure
8) with a relatively smaller increase in equivalent
series resistance; and the combination of the parallel
sheets and copper cups reduces the primary-referenced
leakage inductance by more than 72%, again with a
relatively smaller increase in equivalent series
resistance. Comparison of the equivalent series
impedance of three cases - the transformer of Figure 7A
with only the copper cups over the ends of the core; the
transformer described in Figure 15C with the unslit
conductive tape over the ends of the core; and the
transformer of Figure 20 with the two parallel sheets -
shows that all three configurations exhibit similar
values of leakage inductance at 1 MHz: 14.0 microHenry,
15.3 microHenry, and 14.5 microHenry, respectively.
However, the measured values of equivalent series
resistance for the three transformers are, at 1 MHz,
respectively, 2.38 ohms, 2.98 ohms, and 1.44 ohms. For
further comparison, the primary-referenced leakage
impedance of a controlled leakage inductance transformer
used in a production version of a converter module of the
kind shown in Figure 19, constructed using overlaid
windings inside of a pair of mating pot cores and
occupying essentially the same volume of the transformer
shown in Figure 7A, was also measured at 1 Mhz. The
primary-referenced leakage inductance was 10 microHenry,
and the equivalent series resistance was 2.2 ohms.
Comparison of the relative values of equivalent series
resistances indicates that: (a) a transformer according
to the present invention, comprising a magnetic medium
coupling separated windings and a conductive medium
arranged in the environment outside of the windings and
magnetic medium, can produce a significant reduction in
primary-referenced leakage inductance with relatively
little degradation in transformer efficiency (i.e. the
percentage of power transferred from a source to a load,
via the transformer, the difference being dissipated as
heat in the transformer), and (b) such a transformer can
exhibit better efficiency, and hence lower losses, than
either a comparable prior art transformer having overlaid
windings or a transformer according to the present
invention using only conductive media formed over the
surface of the magnetic media.
Another example of a conductive medium arranged in
the environment outside of the magnetic medium and
windings is shown in Figure 21. In the Figure a
transformer of the kind shown in Figure 7A (i.e. having
the same dimensions, materials and windings, and which,
in Figure 21, appears as an end view of the windings 904,
906 and magnetic core 902) is surrounded by an oval tube
920 made of 0.010" thick copper. The inside dimensions
of the oval copper tube 1.25" x 0.5", and the length of
the tube is 1.25". The ends of the tube are open. In
the Figure, the values of primary-referenced leakage
inductance and equivalent series resistance are shown for
three different conditions: with no conductive medium in
the vicinity of the transformer and with no copper cups
over the ends of the magnetic core; with the copper tube
surrounding the transformer, but without the copper cups;
and with the copper tube surrounding the transformer and
with the copper cups over both ends of the magnetic core.
As can be seen in the Figure, (a) the primary-referenced
leakage inductance is reduced by as much as 78%, (b) in
no case is there a signficant increase in equivalent
series resistance and (c) the equivalent series
resistance is relatively low.
The actual magnetic medium and conductive medium
may have any of a wide range of configurations to achieve
useful operating parameters. The magnetic medium may be
formed in a variety of configurations (i.e. in the
mathematical sense, the domain of the magnetic medium
could be either singly, doubly or multiply connected)
with the two windings being separated by a selected
distance in order to achieve desired levels of
interwinding capacitance and isolation. For example, the
magnetic cores used in the transformers of Figures 7 and
9 form a single loop (i.e. the domain of the magnetic
medium is doubly connected in these transformers). An
example of a transformer having a magnetic medium which
forms two loops (i.e. in which the domain of the magnetic
medium is multiply connected) is shown in Figure 22. In
the Figure, the magnetic core 710 comprises a top member
718 and a bottom member 720 which are connected by three
legs 712, 714, 716. The three legs are enclosed by
windings 722, 724, 726. Conductive media 720, 730 are
formed over the top and bottom members of the core,
respectively, and a portion of each of the legs. Slits
in the conductive media (not shown in the Figure)
preclude formation of shorted turns with respect to
mutual flux which couples the windings. One loop in the
magnetic medium 710 is formed by the left leg 712, the
center leg 714 and the leftmost portions of the top and
bottom members 718, 720. A second loop in the magnetic
medium 710 is formed by the center leg 714, the right leg
716 and the rightmost portions of the top and bottom
members 718, 720.
The conductive medium can be arranged in any of a
wide variety of patterns to control the location, spatial
configuration and amount of transformer leakage flux. At
one extreme the entire magnetic medium can be enshrouded
with a relatively thick (e.g. three or more skin depths
at the transformer operating frequency) conductive medium
formed over the surface of the magnetic medium and the
leakage inductance can be reduced by 75% or more. Since
an appropriately thick conductive shroud formed over a
relatively high permeability magnetic core will, to first
order, essentially eliminate emanation of time-varying
flux from the surface of the magnetic core, the reduction
in leakage inductance will, to first order, be
essentially independent of the length of the mutual flux
path (i.e. the length of the core) which links the
windings. By acting as a "flux conduit" over the
magnetic path which links the windings, an essentially
complete overcoating of conductive material will allow
very widely spaced windings to be used consistent with
maintaining low values of leakage inductance. Very low
values of leakage inductance may also be achieved by
appropriate arrangement of conductive media in the
environment outside of the magnetic medium and windings,
or by combining conductive media in the environment
outside of the magnetic medium and windings with
conductive media formed over the surface of the magnetic
medium. In other configurations, selective application
of patterns of conductive material, either formed over
the surface of the magnetic medium, or arranged in the
environment outside of the magnetic medium and windings,
or both, can be used to realize preferred spatial
distributions of leakage flux and controlled amounts of
leakage inductance. By this means reductions in leakage
inductance of 25% or more can be achieved. Thus, the
present invention allows construction of both
low-leakage-inductance and controlled-leakage-inductance
transformers.
The conductive medium may be any of a variety of
materials, such as copper or silver. Use of
"superconductors" (i.e. materials which exhibit zero
resistivity) for the conductive medium could provide
significant reduction in leakage inductances with no
increase in losses due to flow of induced currents. The
conductive medium can also be formed of layers of
materials having different conductivities. For example,
with reference to Figure 23, which shows a cross section
of a portion of a conductive medium 802 overlaying a
magnetic medium 804, the conductive medium comprises two
layers of material 806, 808. For example, the material
808 closest to the core might be a layer of silver, and
the other layer 806 might be copper. Since the
conductivity of silver is higher than that of copper, a
conductive medium formed in this way will have reduced
losses at higher frequencies (where skin depths are
shallower) than a conductive medium formed entirely of
copper.
Since a transformer having separated windings
(e.g. wound on separate bobbins) can usually be
constructed using larger wire sizes than an equivalent
transformer of the same size using interleaved or coaxial
windings, and since appropriate arrangements of
conductive media can reduce leakage inductance while
maintaining low values of equivalent series resistance,
transformers according to the present invention can be
constructed to exhibit higher efficiency (i.e. have lower
losses at a given operating power level) than equivalent
prior art transformers. Since improved efficiency
translates into lower operating temperatures at a given
operating power level, and since separated windings will
exhibit better thermal coupling to the environment, a
transformer constructed in accordance with the present
invention can, for a given maximum operating temperature,
be used to process more power than a similar prior art
transformer.
Referring to Fig. 24, each of the metal pieces
126, 128 used in the transformer of Figures 9 and 10,
might also include an aperture 134. The placement of the
apertures is chosen to allow leakage flux to pass from
the inside surface of the core on one side of the
transformer to the inside surface of the core on the
other side of the transformer in a direction parallel to
the winding bobbins. To prevent closed conductive paths
in the metal pieces (e.g. path B in the Figure which
extends around the entire periphery of the piece) from
appearing as a shorted turn to leakage flux which
emanates through the aperture 134, slits (e.g. slits 136)
might be needed in regions of the conductive medium in
the vicinity of the aperture. The aperture sizes and the
location of the slits are chosen to control the relative
amount of leakage flux that may traverse the apertures,
and therefore both the leakage inductances and the
coupling coefficient of the transformer. Both the shape
and dimensions of the metal pieces and the size and shape
of the aperture and the slits may be varied to cover more
or less of the core.
Referring to Fig. 25, the magnetic core material
in the region of the apertures could also be extended out
toward each other, and each core half would appear more
like an "E" shape. As the length of the core extensions
160, 162 is increased, and the gap between the ends of
the extensions is decreased, the leakage inductance will
increase. In effect, the reluctance of the path between
the apertures is reduced by increasing the permeability
of the path through which the leakage flux passes,
thereby increasing the equivalent series inductance
represented by the path. The conductive medium
essentially constrains the leakage flux to the path
between the core extensions; the leakage inductance is
essentially determined by the geometry of the leakage
path. To constrain the flux which passes between the
apertures to a fixed domain, and essentially eliminate
"fringing" of flux between the apertures, pairs of
apertures may be joined by a hollow conductive tube, as
shown in Figure 26. In the Figure, the magnetic core 142
is covered with a conductive housing 132. However,
instead of simply providing apertures for allowing lines
of leakage flux 144, 156 to pass between the windings
(not shown in the Figure), a hollow conductive tube 250
is used to connect the apertures at either end of the
looped core. A slit 260 in the tube prevents the tube
from appearing as a shorted turn to the leakage flux.
The tube may also be constructed to completely enshroud
its interior domain, without appearing as a shorted turn
with respect to the leakage flux within the tube, by
using a wide variety of techniques, some of which were
previously described. Also, the reluctance of the path
followed by the flux in the interior of the tube may be
decreased by extending a portion of the magnetic core
material into the region where the tube joins the
housings (i.e. through use of core extensions 160, 162 of
the kind shown in Figure 25). In general, there are a
wide variety of arrangements of magnetic media and
conductive tubes that can be used between pairs of
apertures to alter both the reluctance of the leakage
flux path and the distribution of the flux. For example,
instead of extending the magnetic medium through the
apertures (i.e. as in Figure 25), another way to reduce
the reluctance of the leakage flux path is to suspend a
separate piece of magnetic core material between a pair,
or pairs, of apertures. Where a conductive tube is used,
a section of magnetic material could be placed within a
portion of the tube between the apertures.
In the previous examples, the transformer windings
were formed of wire wound over bobbins. The benefits of
the present invention may, however, be realized in
transformers having other kinds of winding structures.
For example, the windings could be tape wound, or the
windings could be formed from conductors and conductive
runs, as described in Vinciarelli, "Electromagnetic
Windings Formed of Conductors and Conductive Runs", US
Patent Application 07/598,896, filed October 16, 1990
(incorporated herein by reference). Figure 27 shows one
example of a transformer 410 having windings of the
latter kind. In the Figure the secondary winding 416 of
the transformer is comprised of printed wiring runs
430,432,434..., deposited on the top of a substrate 412
(e.g. a printed circuit board), and conductors 424, 426,
428 which are electrically connected to the printed
wiring runs at pads (e.g. pads 435, 437) at the ends of
the runs. The primary winding 414 is similarly formed of
conductors 436, 438, 440, ... and printed wiring runs,
the runs being deposited on the other side of the
substrate and connecting to pads on top of the substrate
(e.g. pads 442, 444, 446, ....) via conductive through
holes (e.g. holes 448, 450, 452). The primary and
secondary conductors are overlaid and separated by an
insulating sheet 470, and are surrounded by a magnetic
core, the core being formed of two core pieces 420, 422.
One reason for overlaying the windings in the
transformer of Figure 27 is to minimize leakage
inductance. By use of the present invention, however,
transformers may be constructed which (a) embody the
benefits of the winding structure shown in Figure 27, and
(b) which also provide the benefits of separated windings
and which exhibit low leakage inductance. One such
transformer is illustrated in Figures 28A and 28B. In
Figure 28A a printed wiring pattern is shown which
comprises a set of five primary printed runs 604 which
end in pads 607; a set of seven secondary printed runs
610 which end in pads 611; and primary and secondary
input termination pads 602, 608. In Figure 28B, a
transformer is constructed by overlaying the printed
wiring pattern with a magnetic core 630, and then
overlaying the magnetic core with electrically conductive
members 620 which are electrically connected to sets of
pads 607, 611 on either side of the core. The primary is
shown to comprise two such members, which in combination
with the printed runs form a two turn primary; the
secondary uses three conductive members to form a three
turn secondary. Conductive connectors 622 connect the
ends of the windings to their respective input
termination pads 602, 608. Some or all of the core 630
is covered with a conductive medium (for example,
conductive coatings 632 on both ends of the core in
Figure 28B) using any of the methods previously
described. The conductive medium allows separating the
windings while maintaining low or controlled values of
leakage inductance. Also, by providing for separated
windings, all of the printed runs for the windings may be
deposited on one side of the substrate (and, although the
transformer of Figure 28B has two windings, it should be
apparent that this will apply to cases where more than
two windings are required). Thus, the use of two-sided
or multilayer substrates becomes unnecessary.
Alternatively, the runs could be routed on both sides of
the substrate as a means of improving current carrying
capacity or reducing the resistance of the runs. It
should also be apparent that additional patterns of
conductive runs on the substrate can be used to form part
of the conductive medium (for example, conductive run 613
in Figure 28A).
Because the present invention provides for
constructing high performance transformers having
separated windings, and because such transformers may be
designed to use simple parts and exhibit a high degree of
symmetry (for example, as in Figure 7), the manufacture
of such transformers is relatively easy to automate.
Furthermore, a wide variety of transformers, each
differing in terms of turns ratio, can be constructed in
real time, on a lot-of-one basis, using a relatively
small number of standard parts. For example, families of
DC-DC switching power converters usually differ from
model to model in terms of rated input and output
voltage, and the relative numbers of primary and
secondary turns used in the transformers in each
converter model is varied accordingly. In general, the
number of primary turns used in any model would be fixed
for a given input voltage rating (e.g. a 300 volt input
model might have a 20 turn primary), and the number of
secondary turns would be fixed for a given output voltage
rating (e.g. a 5 volt output model might have a single
turn secondary). Thus, a family of converters having
models with input voltage ratings of 12, 24, 28, 48 and
300 volts, and output voltages ratings of 5, 12, 15, 24
and 48 volts, would require 25 different transformer
models. Different models of prior art transformers must
generally be manufactured in batch quantities and
individually inventoried, since overlaid or interleaved
windings must generally be constructed on a model by
model basis. Each one of a succession of different
transformers of the kind shown in Figure 7, however, can
be built in real time by simply automechanically
selecting one bobbin 40 which is prewound (or wound in
real time) with the appropriate number of primary turns,
and another bobbin 42 having an appropriate number of
secondary turns, and assembling these bobbins over the
conductively coated core pieces 32, 34. Thus, while use
of prior art transformers would require stocking and
handling 25 different transformer models to manufacture
the cited family of converters, use of the present
invention allows building the 25 different models out of
an on-line inventory of 10 predefined windings and a
single set of core pieces.
Other embodiments are within the scope of the
following claims. For example, the conductive medium may
be applied in a wide variety of ways. The conductive
medium may also be connected to the primary or secondary
windings to provide Faraday shielding. The magnetic
medium may be of nonuniform permeability, or may comprise
a stack of materials of different permeabilities. The
magnetic medium may form multiple loops which couple
various windings in various ways. The magnetic core
medium may include one or more gaps to increase the
energy storage capability of the core.