Field of the Invention
[0001] The present invention relates to a coil structure suitably used for transformers
and choking coils used in electronic equipments and power units and more particularly
to a device having an excellent magnetic coupling, a low loss and an excellent high
frequency characteristic when used as a transformer.
Description of the Related Art
[0002] A transformer is a magnetic part used in electronic equipments and power units and
has a quality of insulating the primary side from the secondary side and of defining
a secondary voltage in response to a primary voltage and a turn ratio. For a transformer
for a switching power supply, coil transformers constructed by winding a lead wire
around a bobbin have spread and the size of the magnetic core has been standardized
by the standards of JIS and IEC, etc.
[0003] By the way, as a transformer not using a bobbin, a printed coil type transformer
in which a coil is disposed on a single multi-layered printed circuit board has been
known as disclosed in Japanese Patent Laid-Open No. 63-173308 for example. In the
transformer constructed as described above, a loss due to a leakage inductance is
decreased because the winding is disposed in close proximity. When the present inventor
studied it in more detail, however, it was found that it would be necessary to decrease
the loss further because the losses other than the leakage inductance contribute in
a great deal.
[0004] It has been also known to lower the loss of the printed coil type transformer by
minimizing a parasitic current of the primary circuit and secondary circuit caused
by a switching current as disclosed in Japanese Patent Publication No. Hei. 1-503264.
When the present inventor studied it also in more detail, however, it was found that
the loss cannot be reduced sufficiently just by considering the lamination order of
the multi-layered printed circuit board.
[0005] Accordingly, it is an object of the present invention to solve the aforementioned
problems by providing a small printed coil type transformer having a core shape which
minimizes the transformer loss.
DISCLOSURE OF THE INVENTION
[0006] According to the present invention for achieving the aforementioned goal, a printed
coil type transformer in a plane type transformer in which a mid-leg core 33 of EE
shaped cores or EI shaped cores is disposed through the center of a spiral of a coil
laminate 40 in which a plurality of concentric spiral coils are laminated in a thickness
direction by using an insulating resin to obtain a magnetic coupling between the plurality
of coils, is characterized in that: sectional areas of the core at a feet core 34
and a connecting core 35 are approximately the same; an sectional area (Ae) of the
mid-leg core is approximately twice of that of the feet core; the sectional area satisfies
the following expression in connection with a core volume (Ve):
1.4 ≦ Ve
1/3/Ae
1/2 ≦ 1.7; and the following expression is satisfied between a space(w) between the mid-leg
core and the feet core of the core and a height (h) of the mid-leg core:
0.5 ≦ h/w ≦ 2.
[0007] According to the present invention constructed as described above, because the sectional
area of the core is unified along the magnetic path to keep the magnetic flux density
almost constant, no loss will increase locally. Further, while the section of the
coil is surrounded by a window section formed by the mid-leg core and the feet cores
of the core, the coil resistance can be minimized by optimizing the shape of the core,
thus contributing to the miniaturization of the transformer.
BRIEF DESCRIPTION OF THE DRAWINGS
[0008]
FIG. 1 is a structural perspective view of an assembling state, in which a part thereof
is cut away, showing one preferred embodiment of the present invention;
FIG. 2 is a section view of a coil laminate 40;
FIGs. 3A through 3C are drawings for explaining the detail of a shape of a core 30;
FIG. 4 is a conceptual graph for explaining a relationship between a transformer loss
Ploss and a core sectional area Ae;
FIGs. 5A and 5B are structural perspective views showing a second embodiment of the
present invention;
FIGs. 6A and 6B are structural diagrams for explaining a shape of UU shaped cores;
FIGs. 7A and 7B are structural diagrams in which the ratio of dimensions of a core
window (h/w) is 1 and which provide the standard in comparing with embodiments in
FIGs. 8 and 9;
FIGs. 8A and 8B are structural perspective views showing a third embodiment of the
present invention;
FIGs. 9A and 9B are structural perspective views showing a fourth embodiment of the
present invention;
FIGs. 10A and 10B are structural perspective views showing a fifth embodiment of the
present invention;
FIGs. 11A and 11B are diagrams for explaining a shape of EE shaped cores; and
FIGs. 12A through 12C are structural perspective views showing a sixth embodiment
of the present invention.
BEST MODES FOR IMPLEMENTING THE PRESENT INVENTION
[0009] The present invention will be explained below by using the drawings. FIG. 1 is a
structural perspective view of an assembling state, in which a part of a coil laminate
is cut away, showing one preferred embodiment of the present invention. In the figure,
a coil laminate 40 is what a conventional bobbin and a lead wire are put together
in one body and a concrete detailed structure thereof has been disclosed in Japanese
Patent Laid-Open No. Hei. 6-310345 for example which the present applicant has proposed.
A core hole 41 is created at the center of the coil laminate 40 and a mid-leg core
of an upper core 31 and a lower core 32 are inserted thereto. Terminals 42 are embedded
in two sides crossing with other sides where feet cores 34 of the upper core 31 and
the lower core 32 are attached.
[0010] FIG. 2 is a section view of the coil laminate 40, showing a section along a direction
of 2-2 in FIG. 1. In the figure, two layers of secondary coils 45 exist in the middle
while being sandwiched by respective upper and lower layers of primary coils 44. An
internal interconnecting terminal 43a for interconnecting the respective upper and
lower layers of the primary coil 44 and an internal interconnecting terminal 43b for
interconnecting all of the primary coils 44 and the secondary coils 45 are provided
near the core hole 41. Terminals 42 are provided at the both ends of the coil laminate
40. One terminal is a primary terminal 42a for interconnecting the respective upper
and lower layers of the primary coils 44 and the other terminal is a secondary terminal
42b for interconnecting the two layers of the secondary coils 45. As for a number
of turns of the coils, each layer of the primary coil 44 is would by three turns of
coil and each layer of the secondary coil 45 is wound by two turns of coil. Because
the gaps between each layer of the coil are filled with an insulating resin and an
isolating distance required in obtaining various safety standards is so thin as 0.6
mm, the transformer can be miniaturized further.
[0011] FIGs. 3A through 3C are drawings for explaining the detail of the shape of a core
30, wherein FIG. 3A is a front view when the upper core 31 and the lower core 32 are
assembled, FIG. 3B is a plan view of the core, and FIG. 3C is a perspective view for
explaining sectional areas of the core. A diameter of the mid-leg core 33 is represented
by D, which is the same value with a width C of the feet core 34 (D = C). A length
of the connecting core 35 is represented by A, a space between the inner sides of
the feet core 34 is represented by E and a thickness of the feet core 34 is represented
by b. A space between the inner side of the feet core 34 and a peripheral face of
the mid-leg core 33 facing thereto is represented by w. Then, the following relation
holds:

A height of the connecting core 35 when the upper core 31 and the lower core 32
has been assembled is represented by H and a space between the inner faces of the
connecting core 35 facing to each other is represented by h. A thickness of the connecting
core 35 is represented by t. Then, the following relation holds:

Then, a sectional area Ae 35 of the connecting core 35, a sectional area Ae 34
of the feet core 34 and a sectional area Ae 33 of the mid-leg core 33 in the magnetic
flux direction are defined to a value almost equal with respect to a sectional area
per one line of magnetic flux passing through the connecting core 35 → the feet core
34 → the mid-leg core 33 to prevent the flux density from locally increasing and thus
increasing the loss. Because two lines of magnetic flux pass through the mid-leg core
33, the sectional area Ae 33 is two times of the sectional area of other cores Ae
35 and Ae 34. When the core sectional area Ae is defined to be the sectional area
Ae 33 of the mid-leg core 33, it may be expressed as follows:

Here, the thicknesses t and b fulfill the following relation:

Further, a core volume Ve is expressed as a total of a volume Ve35 of the connecting
core 35, a volume Ve34 of the feet core 34 and a volume Ve33 of the mid-leg core 33
in the direction of the magnetic flux, so that the following expression holds:

Here, a ratio between the core volume Ve and the core sectional area Ae is represented
by a dimensionless coefficient k which is defined by the following expression:

Next, a relation between an iron loss PFe and a copper loss PCu of the coil will
be explained. Here, the iron loss refers to an electric power consumed in the magnetic
iron core due to a time-varying magnetizing force and includes a hysteresis loss and
an eddy current loss. The iron loss PFe is expressed by the following expression:

Where, C1 is a constant defined by the shape and material of the coil, B is a flux
density and fsw is a switching frequency. When the flux density B and the switching
frequency fsw are constant, the iron loss PFe is proportional to the core volume Ve.
[0012] The copper loss is a load loss and includes an I²R loss caused by the eddy current
and load in the coil, a stray loss caused by a leakage current and a loss caused by
circulating currents in parallel coils. The copper loss PCu is expressed by the following
expression:

where, C2 is a constant and N is a number of turns. Meanwhile, the following relation
holds between the flux density B and the number of turns N:

where, C3 is a constant. Substituting the expression (9) into the number of turns
N of the expression (8), the following expression is obtained:

That is, the copper loss PCu is inversely proportional to the square of the core
sectional area Ae.
[0013] FIG. 4 is a conceptual graph for explaining a relationship between a transformer
loss Ploss and a core sectional area Ae. The transformer loss is defined by a sum
of the iron loss PFe and the copper loss PCu of the coil. As represented by the expression
(7), the iron loss PFe is apt to increase along the increase of the core sectional
area Ae. On the other hand, the copper loss PCu is apt to decrease along the increase
of the core sectional area Ae. Accordingly, there exists an optimum core sectional
area Ae which minimizes the loss in the transformer loss Ploss represented by the
sum of the both.
[0014] It is now questioned how to decide the shape of the core which minimizes the transformer
loss Ploss with reference to FIG. 3. When the shape of the core (w and h) related
to the copper loss PCu is constant, the iron loss PFe takes the minimum value when
h = w from the expression (5). When the core window width E is a given condition,
a coil passing sectional width w is expressed from the expression (1), as follows:

Assuming h = w and substituting it into the expression (10), the copper loss PCu
is expressed by the following expression:

The transformer loss may be minimized when the expression (12) is minimized. The
value of the expression (12) is minimized when the following condition holds:

Next, when the core width A is a given condition, the coil passing sectional width
w is expressed from the expressions (1) and (4), as follows:

Assuming h = w and substituting it into the expression (10), the copper loss PCu
may be expressed by the following expression:

The transformer loss may be minimized when the expression (15) is minimized. The
value of the expression (15) is minimized when the following condition holds:

Then, the shape of the core which minimizes the transformer loss within the range
of the core window width E and the core width A described above is within the following
range from the expressions (13) and (16):

At this time, the coefficient k is within the following range from the expression
(6):

FIGs. 5A and 5B are structural perspective views showing a second embodiment of
the present invention, wherein FIG. 5A shows a state in which UU shaped cores are
mounted to a coil laminate and FIG. 5B shows a simplex of the coil laminate. The U
shaped core has a connecting core 37 and two feet cores 36 provided on the both sides
thereof. The two-holed coil laminate 50 has two core holes 51a and 51b and the detailed
structure thereof has been disclosed in Japanese Patent Laid-Open No. Hei. 6-333759
for example which the present applicant has proposed. Rows of terminals 52 are provided
respectively at the edge of the both sides along the direction in which the core of
the two-holed coil laminate 50 is mounted. The UU shaped cores or UI shaped cores
are mounted to the two-holed coil laminate 50 to create a closed magnetic path.
[0015] FIGs. 6A and 6B are structural diagrams for explaining the shape of the UU shaped
cores, wherein FIG. 6A is a front view in a state when the UU shaped cores have been
assembled and FIG. 6B is a plan view of the U shaped core. Although the same reference
numerals with those in FIG. 3 are used in FIG. 6 for the convenience of the explanation,
they have values intrinsic in FIG. 6. A diameter of the feet core 36 is represented
by D. A length of the connecting core 37 is represented by A, a thickness thereof
t, a width thereof C and a space between inner peripheral faces of the feet cores
36 as 2w. Then, the following expression holds with respect to a core volume Ve and
a core sectional area Ae:

Accordingly, the coefficient k is expressed as follows:

It is now questioned how to decide the shape of the core which minimizes the transformer
loss Ploss with reference to FIG. 6. When the shape of the core (w and h) related
to the copper loss PCu is constant, the iron loss PFe takes the minimum value when
h = w from the expression (19). When the core window width E is a given condition,
the coil passing sectional width w is expressed from FIG. 6B, as follows:

Assuming h = w and substituting it into the expression (10), the copper loss PCu
is expressed by the same expression with the expression (12) described above, so that
the value which minimizes the value of the expression (12) under the condition of
the expression (13) also minimizes the transformer loss Ploss:

Next, when the core width A is a given condition, a coil passing sectional width
w is expressed from FIG. 6B, as follows:

Assuming h = w and substituting it into the expression (10), the copper loss PCu
may be expressed by the following expression:

The transformer loss may be minimized when the expression (24) is minimized. The
value of the expression (24) is minimized when the following condition holds:

Then, the shape of the core which minimizes the transformer loss within the range
of the core window width E and the core width A described above is within the following
range from the expressions (13) and (25):

At this time, the coefficient k is within the following range from the expression
(6):

Now a case when h ≠ w while fulfilling the condition that hw = constant will be
considered. FIGs. 7A and 7B are structural diagrams in which the ratio of dimensions
of the core window (h/w) is 1 and which provide the standard in comparing with embodiments
in FIGs. 8 and 9, wherein FIG. 7A is a plan view in a state when EE shaped cores are
mounted to a coil laminate and FIG. 7B is a section view along B-B line in FIG. 7A
and substantially shows a state in which the device shown in FIG. 1 has been assembled.
As described in connection with the expression (11), the iron loss PFe takes a minimum
value when h = w.
[0016] FIGs. 8A and 8B are structural views showing a third embodiment of the present invention
in which the ratio of dimensions of the core window (h/w) is 1/2, wherein FIG. 8A
is a plan view when EE cores are mounted to a coil laminate and FIG. 8B is a section
view along B-B line in FIG. 8A. A coefficient which minimizes the transformer loss
when

is within the following range when it is calculated with the same procedures in the
expressions (11) through (16) described above:

The iron loss PFe increases by about 5 % as compared to the case when

. However, it is considered to cause no trouble practically as a transformer.
[0017] Meanwhile, when the dimension of the core window is flat as described above, the
section of the coil laminate 40 can be flat and the conductor as well. Then, because
the copper loss decreases from the quality that the larger the conductor surface area,
the smaller an AC resistance related to the copper loss can be from the skin effect,
the increase of the transformer loss is actually less than 5 %.
[0018] FIGs. 9A and 9B are structural views showing a fourth embodiment of the present invention
in which the ratio of dimensions of the core window (h/w) is 2, wherein FIG. 9A is
a plan view when EE cores are mounted to a coil laminate and FIG. 9B is a section
view along B-B line in FIG. 9A. A coefficient which minimizes the transformer loss
when

is within the following range when it is calculated with the same procedures in the
expressions (11) through (18) described above:

The iron loss PFe increases by about 5 % as compared to the case when

. However, it is considered to cause no trouble practically as a transformer.
[0019] Meanwhile, when the dimension of the core window is vertically long as described
above, the section of the coil laminate 40 can be made vertically long. As a result,
the plan dimension of the coil laminate 40 can be reduced and the transformer mounting
area can be reduced. When FIG. 9 is compared with FIG. 7 for example, the transformer
mounting area of the case in FIG. 9 in which the core window is vertically long can
be 1/2 of the case in FIG. 7 in which the lengths are equal. Then, it is suitable
for the use in which a small transformer mounting area is a merit like the field in
which a high density mounting is required.
[0020] As described in the first through fourth embodiments, the shape of the transformer
which minimizes the transformer loss when the ratio of the dimensions of the core
window (h/w) is within the range of 1/2 through 2 may be realized when the coefficient
k is within the following range as described in connection with the expressions (18),(27),
(28) and (29):

Next, a comparison of a product of the present invention which is equivalent to
the first embodiment with a conventional transformer using JIS FEER 25.5 will be explained.
Table 1 compares characteristics of the conventional transformer with those of the
present invention (coefficient k = 1.61), wherein six upper items relate to the shape
of the core and two lower items relate to the transformer loss.
〈Table 1〉
|
JIS FEER25.5 |
Embodiment(K=1.61) |
Core Shape A[mm] |
25.5 |
23.2 |
H[mm] |
18.6 |
12.8 |
h[mm] |
3.4 |
6.2 |
W[mm] |
6.2 |
4.0 |
Ve[mm³] |
2160 |
1782 |
Ae[mm²] |
44.8 |
58.1 |
Loss Copper Loss |
1 |
0.6 ∝ Ae⁻² |
Iron Loss |
1 |
0.82 ∝ Ve |
[0021] As compared to the conventional transformer, a height H of the EE shaped core is
lower and a length A is also shorter by about 10 % in the present invention. Then,
a core volume Ve thereof is smaller by about 20 % and a core sectional area Ae is
larger by about 30 % in contrary. Because an amount of magnetic material used may
be small if the core volume Ve is small, a light weight transformer can be manufactured
at low cost. While the ratio of dimensions of the core window is flat as

in the conventional transformer, it is vertically long as

in the present invention. Then, it can be seen that the performance of the present
invention as a transformer is better because the copper loss is reduced by 40 % and
the iron loss is reduced by 18 % in terms of the transformer loss.
[0022] FIG. 10A and 10B are structural perspective views showing a fifth embodiment of the
present invention, wherein FIG. 10A shows a state in which EE shaped cores are mounted
to a coil laminate and FIG. 10B shows a simplex of the coil laminate. FIGs. 11A and
11B are diagrams for explaining the shape of the EE shaped cores, wherein FIG. 11A
is a front view when the EE shaped cores are assembled and FIG. 11B is a plan view
of the E shaped core. This fifth embodiment is a variation of the embodiment shown
in FIG. 3. While the diameter D of the mid-leg core 33 and the width C of the connecting
core 35 have been equal in the case of the embodiment shown in FIG. 3, it is selected
to be D < C in the present embodiment. By constructing as such, a thickness b of the
feet core can be thinned and dimensions of the core window h and w can be large, so
that a core window area hw can be increased. As a result, it brings about an effect
that the transformer can be miniaturized and thinned further.
[0023] FIGs. 12A through 12C are structural perspective views showing a sixth embodiment
of the present invention, wherein FIG. 12A shows a state in which EI shaped cores
are mounted to the coil laminate, FIG. 12B shows the simplex of the coil laminate
and FIG. 12C is a drawing for explaining a state in which the EI shaped cores are
assembled. This sixth embodiment is a variation of the embodiment shown in FIG. 3,
in which the EE shaped cores of the core 30 are replaced with the EI shaped cores.
The same effect with the first embodiment can be obtained even by adopting such shape
by having substantially the same core window dimensions h and w.
[0024] As described above, according to the present invention, the ratio of the dimensions
of the core window (h/w) is selected to be within 0.5 through 2 and the coefficient
which represents the shape of the core (= Ve
1/3Ae
1/2) to be within 1.4 through 1.7, so that it brings about an effect that the transformer
loss which is defined by the copper loss and iron loss is minimized. Further, it brings
about an effect that the shape of the transformer can be miniaturized as compared
to the conventional transformer stipulated in the JIS FEER 25.5 and the like.
[0025] In this case, there are the one-holed coil laminate 40 and the two-holed coil laminate
50 and the cores mounted thereto are selected respectively from the EE shaped and
UU shaped cores, so that the ratio of dimensions of the core window and the coefficient
k are defined in accordance to the expression (30).