Field of the Invention
[0001] This invention relates generally to the art of high current transformers. More specifically,
the invention is a planar transformer having a forked secondary which allows increased
power density.
Background of the Invention
[0002] Switching power supplies for large data processing systems are required to supply
large loads, often in the multiple kilowatt range. This is commonly low voltage (e.g.,
5V) at high current values (e.g., 600A). Conventional design of these transformers
leads to large, bulky structures having major size and weight impacts, large leakage
inductances, high temperature rises and associated cooling problems.
[0003] Higher switching frequencies have been accepted as one means for reducing transformer
size and increasing power density. With higher frequencies, however, comes the further
complications of skin and proximity effects. At frequencies in the kiloHertz range
and currents in the hundreds of amperes, skin and proximity effects play a predominant
role in determining the effective AC resistance of current carrying conductors.
[0004] Skin and proximity effects are both eddy current effects which cause the current
flowing in a conductor to use only a small portion of the available conductor cross-section.
This causes increased AC resistances and, accordingly, greater power losses with associated
high temperature rises in the transformer.
[0005] The conventional method for handling increased power dissipation and increased heating
was to increase the magnetic core size and use larger conductor wire. Increasing transformer
size, however, contradicts the primary reason for using the higher switching frequencies
(i.e., to reduce size). Further, large geometries bring with them increased stray
inductances. At high frequencies, increased inductances tend to limit the amount of
current which can be switched through the transformer.
[0006] In planar type transformers, designers have increased power densities by improving
the thermal conductivity of the thermal paths of a transformer. U.S. Pat. No. 4,754,390
to Felton
et al. is exemplary of a transformer directed to improving heat conduction/transfer while
reducing leakage inductances.
[0007] An ideal solution for increasing power densities would be to reduce skin and proximity
effects so that available conduction area could be utilised more efficiently. This
would allow increased power densities and/or reduced size magnetic devices.
Disclosure of the Invention
[0008] The present invention is a planar transformer which reduces skin effects and proximity
effects and thereby achieves reduced conduction power losses. This is accomplish by
using a novel secondary shaped in a fork configuration.
[0009] The invention provides a transformer comprising a core forming a closed magnetic
circuit; a secondary comprising a plurality of conductive plates threaded through
the magnetic circuit and defining a respective plurality of electrical paths; and
a primary comprising one or more conductors threaded through the magnetic circuit,
each of the conductors being disposed between adjacent ones of the conductive plates.
[0010] The core is preferably an 'E' core including two windows forming closed magnetic
circuits and the conductive plates and conductors are threaded through the windows.
The conductive plates are preferably substantially annular in shape.
[0011] The secondary preferably further comprises a plurality of conductors arranged to
connect the plurality of electrical paths in parallel or in series. The primary preferably
is a coil of thin flat ribbon shaped wire wound edgewise.
[0012] An embodiment of the invention has a secondary consisting of two conductive plates
threaded through the magnetic circuit and a primary consisting of a single conductor
threaded through the magnetic circuit A further embodiment of the invention has a
secondary consisting of three conductive plates threaded through the magnetic circuit
and a primary consisting of two conductors threaded through the magnetic circuit.
Brief Description of Drawings
[0013] The invention will now be described, by way of example only, with reference to the
accompanying drawings, like components being referenced by the same reference numerals,
in which:
FIG. 1 shows an exploded perspective view of a known planar transformer;
FIG. 2 is a partial cross-section showing the operational relationship between primary
winding 116 and secondary plate 112 of the known planar transformer;
FIG. 3 shows an exploded perspective view of a first embodiment of a planar transformer
of the present invention;
FIG. 4 is a cross-sectional view of winding piece 304 used in the planar transformer
of FIG. 3;
FIG. 5 is a top view of secondary 312 used in the winding piece of FIG. 4;
FIG. 6 is a partial cross-section showing the operational relationship between primary
winding 314 and secondary 312 of the transformer of FIG. 3;
FIG. 7 is an exploded cross section of a second embodiment of a planar transformer
702 of the present invention;
FIG. 8 is a cross-sectional view of secondary 704 used in the transformer of FIG.
7; and
FIG. 9 is a cross-section showing the operational relationship between primary windings
706 and 708 and secondary 704 of the transformer of FIG. 7.
Detailed Description of the Invention
[0014] As discussed above, proximity and skin effects are both eddy current effects which
cause the current flowing in a conductor to use only a small portion of the available
conductor cross-section. A brief explanation of skin effects and proximity effects
is presented below.
[0015] Skin effects are caused by current crowding in a conductor due to its own magnetic
field. The current density is caused to be greatest near the surface of the conductor
and to decrease exponentially towards the centre of the conductor. Skin effects can
be calculated as follows.
[0016] The conduction current density at any point within a conductor is given by the following
equation:

where: J = current density


[0017] It can be seen from this equation that an exponential decrease in the conduction
current density and electric field intensity occurs with penetration into the conductor.
At a distance

[0018] the exponential term (e⁻¹) = 0.368, yielding a current density

[0019] This is a special value of z known as the "skin depth" (δ). The skin depth is represented
by the equation:

[0020] At one skin depth (z = δ), 63% or (1-0.368) of the current will be concentrated in
a cross-section of the conductor to a depth of δ.
[0021] For copper (σ = 5.8 X 10⁷ S/m), this equation reduces to:

[0022] From this equation, it can be shown that at an operating frequency of 100kHz, for
example, skin depths are in the order of 0.21 mm (0.008˝) in a copper conductor.
[0023] Proximity effects are caused by exposure of the current carrying conductor to an
external magnetic field. The external magnetic field causes the current density in
a conductor to be. much higher in some areas than in others, much like a conductor's
own magnetic field does to cause skin effects. Thus, proximity effects exacerbate
the existing problem caused by skin effects.
[0024] For a transformer, proximity effects are a function of many different variables including
the number of turns per winding, winding technique, and overall transformer geometry.
As a result, proximity effects are not susceptible to precise mathematical characterisation.
Proximity effects are, however, well known in the art, and data is available by which
the combination of skin and proximity effects on the AC resistances of a conductor
can he predicted.
[0025] For purposes of this discussion, it will suffice to assume that proximity effects
will enhance the skin effects to cause a current to concentrate in the portion of
a conductor near the primary/secondary interface of a transformer.
[0026] A known planar transformer 100 is shown in exploded form in FIGURE 1. Transformer
100 includes core 102 and winding piece 104. Core 102 is an "E" core comprising an
"E" piece 106 and a cap piece 108. When "E" piece. 106 and cap piece 108 are brought
into contact as shown by the dash lines 132 and 134, core 102 forms windows 128 and
130. "E" piece 106 has a centre post 110 which divides windows 128 and 130. The core
can alternatively be a 'U' core comprising a 'U' piece and a cap piece.
[0027] Winding piece 104 includes a secondary plate 112, an insulating plate 114, and a
primary coil 116. Primary coil 116 is wound from "ribbon" or "tape" conductors which
are relatively wide, thin, flat, conductors wound edgewise. This primary coil configuration
is known in the art to decrease leakage inductance and eddy current losses.
[0028] Primary coil 116 has a first end 118 and a second end 120 adapted for making electrical
connection thereto. Insulating plate 114 maintains electrical isolation and permits
thermal conduction between primary coil 116 and secondary plate 112.
[0029] A pair of terminals 122 and 124 allow electrical connections to be made to secondary
plate 112. Secondary plate 112, insulating plate 114 and primary coil 116 have central
openings 136, 138 and 140, respectively, passing therethrough. Central openings 136,
138 and 140 are aligned concentrically about a central axis 126 to form a central
window through winding piece 104. This central window is adapted to accept centre
post 110 of core 102. Thereby, both primary winding 116 and secondary plate 112 pass
through core windows 128 and 130. In this manner, core 102 provides magnetic coupling
between primary winding 116 and secondary plate 112.
[0030] FIGURE 2 shows a cross section of primary coil 116 and secondary plate 112 of known
transformer 100. Elements 202 illustrate the individual cross sections of the conductor
ribbon which form primary coil 116. Cross-hatched areas 204, and cross-hatched areas
206 on secondary plate 112, depict the portions of the conductors (to one skin depth)
which would be carrying substantially all (63%) of the primary current.
[0031] For a conductor ribbon having a thickness of 0.46 mm (0.018") and a height of 9.5
mm (0.375") conducting current at 100 kHz, the total cross-sectional area depicted
would be 9.66 x 10⁻⁸ m² (1.44 x 10⁻⁴ inches²) out of a possible 4.38 x 10⁻⁶ m² (6.75
x 10⁻³ inches²). Thus, 63% of the total current would be concentrated in 2% of the
available conductor. This results in a high AC resistance which causes high power
losses and corresponding high temperature rises.
[0032] Two preferred embodiments of the present invention are now described with reference
to FIGURES 3 - 9. FIGURE 3 shows a first embodiment. A planar transformer 300 includes
an "E" core 102 as described above, and a winding piece 304. Winding piece 304 is
coupled to core 102 as described above.
[0033] Winding piece 304 comprises secondary 312, primary coil 314, and insulator plates
316 and 318. Secondary 312 includes a first secondary plate 320 and a second secondary
plate 322. Plates 320 and 322 are arranged in a forked configuration with a first
transverse portion 324 and a second transverse portion 326 making the connection therebetween.
Transverse portions 324 and 326 are shown broken to correspond to the exploded view
of the drawing. Terminals 328 and 330, formed in transverse portions 324 and 326 respectively,
allow electrical connection to secondary 312. The electrical connection of the secondaries
may be series connection or parallel connection. The embodiment of FIGURE 3 shows
the connections arranged to connect the secondaries in parallel.
[0034] Primary coil 314 is disposed between plates 320 and 322 of secondary 312. Primary
coil 314 is wound from "ribbon" or "tape" conductors. Insulating plates 316 and 318
are disposed at the primary/secondary interfaces formed between secondary plates 320
and 322 and primary winding 314. Insulating plates 316 and 318 are made from an electrically
insulating, thermally conductive material. All elements of winding piece 304 are aligned
concentrically about a central axis 332 to form a central window through winding piece
304.
[0035] A sectional side view of winding piece 304 is shown in FIGURE 4. FIGURE 5 shows a
top view of the same. Only the secondary plate 312 and terminals 328 and 330 are visible
in this view.
[0036] FIGURE 6 shows secondary 312 with primary coil 314 disposed between secondary plates
320 and 322. Elements 602 illustrate the individual cross sections of the conductor
ribbon which forms primary coil 314. If primary 314 and secondary 312 were carrying
current at 100 kHz as discussed above, then cross-hatched areas 604, and cross-hatched
areas 606 of secondary 312, depict the portions of the conductors (to one skin depth)
which would be carrying substantially all (63%) of the primary current. As can be
seen, if compared with FIGURE 2, elements 602 are now conducting the current over
twice the cross-sectional area of elements 202. Thus, this novel configuration doubles
the cross-sectional area through which the AC current flows.
[0037] Current is now being conducted at both sides of primary coil 314. Thus, a conductor
ribbon (e.g., conducting current at 100 kHz) having dimensions as set forth above
would conduct 63% of the total current over a cross-sectional area of 1.93 x 10⁻⁷
m² (2.88 x 10⁻⁴ inches²) out of a possible 4.38 x 10⁻⁶ m² (6.75 x 10⁻³ inches²). 63%
of the total current would now be concentrated in 4% of the available conductor, resulting
in a 100% increase in conduction area.
[0038] Doubling the cross-sectional area through which a current flows will cut the conduction
area resistance by one-half. This will result in a corresponding 50% decrease in the
conduction power losses in the primary coil and a corresponding decrease in the transformer
temperature rise. Since the maximum output rating of any transformer is ultimately
based on maximum allowable temperature rise, reduced losses allow a given design to
be rated at a substantially higher output power. (Alternatively, the transformer of
the present invention could be operated at a higher frequency, or the size of the
transformer could be reduced.)
[0039] A second embodiment of the present invention is shown in an exploded cross-sectional
view in FIGURE 7. Winding piece 702 includes a secondary 704, primary coils 706 and
708, and insulating plates 710, 712, 714, and 716. Secondary 704 includes a first
secondary plate 718, a second secondary plate 720 and a third secondary plate 722.
Plates 718, 720, and 722 are arranged in a forked configuration with transverse portions
723 and 724 making the connection therebetween. Terminals 728 and 730 extend outward
from transverse portions 723 and 724, respectively, to permit electrical connection
to secondary 704. Transverse portions 723 and 724 are shown broken to correspond to
the exploded view shown in the drawing.
[0040] A first primary coil 706 is disposed between plates 718 and 720 of secondary 704.
A second primary coil 708 is disposed between plates 720 and 722 of secondary 704.
Primary coils 706 and 708 are wound from "ribbon" or "tape" conductors as described
above. Insulating plates 710, 712, 714 and 716 are disposed at the primary/secondary
interfaces formed between secondary plates 718, 720 and 722 and primary windings 706
and 708. Insulating plates 710, 712, 714, and 716 are made from an electrically insulating,
thermally conductive material.
[0041] All elements of winding piece 702 are aligned concentrically about a central axis
726 to form a central window through winding piece 702. This central window is adapted
to accept a core piece as described above.
[0042] A sectional side view of novel secondary 704 of winding piece 702 is shown in FIGURE
8. A top view of secondary 704 would be similar to that shown in FIGURE 5 for secondary
312.
[0043] FIGURE 9 shows secondary 704 with primary coils 706 and 708 disposed between secondary
plates (718 and 720) and (720 and 722) respectively. Elements 902 illustrate the individual
cross sections of the conductor ribbon which forms primary coils 706 and 708. Cross-hatched
areas 904 for primary coils 706 and 708 and cross-hatched areas 906 for secondary
704, depict the portions of the conductors (to one skin depth) which would be carrying
substantially all (63%) of a 100 kHz primary current. As can be seen if compared with
FIGURE 2, elements 902 are conducting the current over twice the cross-sectional area
of elements 202. Further, if primary coils 706 and 708 are connected in parallel,
then the current is split between two primary coils (706 and 708) to further reduce
the primary losses. The resulting primary resistance would be one fourth of that seen
in primary coil 116.
1. A transformer comprising:
a core forming a closed magnetic circuit;
a secondary comprising a plurality of conductive plates threaded through said magnetic
circuit and defining a respective plurality of electrical paths; and
a primary comprising one or more conductors threaded through said magnetic circuit,
each of said conductors being disposed between adjacent ones of said conductive plates.
2. A transformer as claimed in claim 1, wherein
said core is an 'E' core including two windows forming closed magnetic circuits
and said conductive plates and said conductors are threaded through said windows.
3. A transformer as claimed in any preceding claim, wherein said conductive plates are
substantially annular in shape.
4. A transformer as claimed in any preceding claim, wherein said secondary further comprises
a plurality of conductors arranged to connect said plurality of electrical paths in
parallel.
5. A transformer as claimed in any one of claims 1 to 3, wherein said secondary further
comprises a plurality of conductors arranged to connect said plurality of electrical
paths in series.
6. A transformer as claimed in any preceding claim, wherein
said secondary consists of two conductive plates threaded through said magnetic
circuit; and
said primary consists of a single conductor threaded through said magnetic circuit.
7. A transformer as claimed in claim 1 to claim 5, wherein
said secondary consists of three conductive plates threaded through said magnetic
circuit; and
said primary consists of two conductors threaded through said magnetic circuit.
8. A transformer as claimed in any preceding claim wherein said primary is a coil of
thin, flat ribbon shaped wire wound edgewise.