An embodiment of an apparatus includes first and second core regions, first and second conductors, and an isolation region. The first core region has a first permeability, and the first conductor is disposed in the first core region. The second core region has a second permeability, and the second conductor is disposed in the second core region. And the isolation region is disposed between the first and second core regions, and has a third permeability that is significantly different than the first and second permeabilities.
For example, the first and second conductors may be windings of respective first and second inductors, and the isolation region, which may be attached to, or integral with, the first and second core regions, may reduce the amount of magnetic coupling between the inductors to a level that is negligible, such that the inductors may be used in applications that call for magnetically uncoupled inductors. Allowing such magnetically uncoupled inductors to be disposed in a common inductor structure may reduce the space occupied by the inductors as compared to inductors that are disposed in separate structures. Furthermore, such an inductor structure may improve on, or eliminate, other deficiencies of conventional inductor structures.
One or more embodiments are described with reference to the drawings, wherein like reference numerals may be used to refer to like elements throughout. In the following description, for purposes of explanation, numerous specific details are set forth in order to provide a thorough understanding of the one or more embodiments. It may be evident, however, that one or more embodiments may be practiced without these specific details. In other instances, well-known structures and devices are shown in block diagram form in order to facilitate describing one or more embodiments.
Sometimes it is desirable to dispose inductors in a same package with a common-core structure, even for applications that call for magnetically uncoupled inductors. Reasons for this may include a reduced package size and reduced manufacturing costs per inductor, and a per-inductor reduction in the area that the packaged inductors occupy on a printed-circuit board.
The inductor structure 10 includes a common core 12 having an E-core section 14, an I-core section 16, air gaps 18 and 20, and winding openings 22 and 24. The E-core and I-core sections 14 and 16 may be formed from any conventional magnetic material such as a ferrite material.
The inductor structure 10 also includes single-turn windings 26 and 28, which extend through the winding openings 22 and 24, respectively. The windings 26 and 28 may be formed from any type of conductor such as copper, and may be, for example, from wire that is insulated, un-insulated, single-strand, or multi-strand.
The E-core section 14 includes core segments 30a-30e, and the I-core section 16 includes core segments 32a-32b.
The combination of the winding 26, the air gap 18, and the core segments 30a, 30b, 30c, and 32a forms a first inductor 34, and the combination of the winding 28, the air gap 20, and the core segments 30c, 30d, 30e, and 32b forms a second inductor 36.
Each core segment has a respective magnetic reluctance Rcore_segment, which is given by the following equation:
where Icore_segment is the length of the core segment, Acore_segment is the cross-sectional area of the core segment (for example purposes it is assumed that each core segment has a uniform cross-sectional area throughout its length), and μcore_segment is the permeability of the material that forms the core segment (for example purposes, it is assumed that the permeabilities of the core segments are equal, and that the permeability of each core segment is uniform throughout the length and width of the core segment).
Similarly, each air gap 18 and 20 has a respective magnetic reluctance Rgap, which is given by the following equation:
where Igap is the length of the air gap (for example purposes it is assumed that each air gap has the same length), Agap is the cross-sectional area of the air gap (for example purposes it is assumed that each air gap has the same uniform cross-sectional area throughout its length), and μgap is the permeability of air, which is close to the permeability of free space, and, therefore, which is typically much less than μcore_segment. For example, as discussed below, to reduce the magnetic coupling between the inductors 34 and 36 to a negligible level where one may consider the inductors to be magnetically uncoupled, a ratio
may be used.
In general, to uncouple the inductors 34 and 36 from one another magnetically, one designs the inductor structure 10 such that negligible magnetic flux generated by a current through the winding 26 flows in a closed loop around the winding 28, and such that negligible magnetic flux generated by a current through the winding 28 flows in a closed loop around the winding 26. For purposes of analysis, details of which are provided below,
Rgap>>Rcore_30a→Rcore_30e, and Rgap>>Rcore_32a→Rcore_32b; consequently, one may perform a first-order analysis by assuming that Rcore30a≈Rcore30b≈Rcore_30d≈Rcore_30e≈Rcore_32a≈Rcore_32b=0 to obtain a simplified version of the magnetic-circuit model 40 as described below in conjunction with
Referring to
As discussed above in conjunction with
the smaller ϕ2, and the smaller the magnetic coupling between the inductors 34 and 36. For example, if
then:
of the total flux ϕ.
Consequently, at least in theory, if Rgap>>Rcore_30a→Rcore_32b, then the inductor structure 10 includes two inductors 34 and 36, which, for many applications, may be considered to be magnetically uncoupled from one another.
But referring to
For example, the inductor structure 10 may require relatively expensive manufacturing techniques to meet relatively precise manufacturing tolerances. As an example, a relatively precise manufacturing tolerance may be required for there to be no, or negligible, air gap between the I-core 16 and the segment 30c of the E-core 14; if there is an air gap in this location, then the effective value of Rcore_30c, and thus the coupling flux ϕ2, will become much greater. Furthermore, the lengths l of the air gaps 18 and 20 typically need to be tightly controlled so that the inductors 34 and 36 have their rated inductances. For example, if the inductors 34 and 36 are rated has having equal inductances, then the air gaps 18 and 20 typically must have the same lengths within a relatively precise tolerance. Unfortunately, such relatively precise tolerance requirements can raise the costs of manufacturing the inductor structure 10 significantly.
Furthermore, the high-permeability material from which the E-core 14 and the I-core 16 are typically formed may allow electrical cross talk between the inductors 34 and 36. Typically, the high-permeability material from which the E-core 14 and the I-core 16 are formed has a relatively low electrical resistance; therefore, if the windings 26 and 28 contact the core 12 in any location—the windings may be un-insulated to save space and cost—then this contact may form a low-resistance electrical path between the windings. Such a low-resistance path may allow undesired electrical coupling or cross talk between the windings 26 and 28, and thus between the inductors 34 and 36.
In addition, each of the windings 26 and 28 typically can have only a single turn; the ability to have only a single turn may limit the range of inductance values that the inductors 34 and 36 may have.
Moreover the inductor structure 10 may make an audible noise while it is operating. Because each winding 26 and 28 may be suspended within the respective openings 22 and 24 to prevent contact with the core 12, each winding may vibrate within a respective opening while the winding is being driven with a current having a frequency that excites one or more resonant modes of the winding. If one or more of these modes has a frequency that is in the range of human hearing, then this vibration may cause an undesirable audible noise (e.g., transformer “hum”).
Furthermore, the inductors 34 and 36 may have poor magnetic-saturation characteristics. Typically, the ferrite material from which the core 12 is formed has a relatively low magnetic-saturation point. Consequently, each of the inductors 34 and 36 may have a relatively low magnetic-saturation current, and may also have an inductance that falls off steeply as the winding current exceeds the magnetic-saturation current.
The inductor structure 60 includes a core 62 having a first core section 64, a second core section 66, and an isolator section 68 disposed between the first and second core sections. The core sections 64 and 66 may be formed under relatively high temperature and pressure from a powder-alloy material having a relatively low permeability (e.g., μr≤100 where μr indicates the relative permeability of the material)) and a relatively low-conductivity (e.g., ρ≥104 Ω/m). The powder-alloy material includes a binder, such as epoxy, and a magnetic-alloy powder, such as cobalt powder, that is uniformly distributed throughout the binder. And the isolator section 68 may be formed from a relatively high-permeability (e.g., 100≤μr≤15,000) material, such as material P51 manufactured by ACME. The core 62 may be formed by pressing the core sections 64 and 66 against opposite sides of the isolator section 68 under high temperature and pressure, either during the same step as the formation of the core sections, or in a separate step after the formation of the core sections. Therefore, one may consider the core sections 64 and 66 to be attached to the isolation section 68 to form the core 62, or one may consider that the core 62 is an integral unit formed from the core sections and the isolation section, which is integral to the core sections.
The inductor structure 60 also includes single-turn windings 70 and 72, which extend approximately through the centers of the first and second core sections 64 and 66, respectively. The windings 70 and 72 may be formed from any type of conductor such as copper, and may be, for example, insulated or un-insulated single-strand or multi-strand wire. And the windings may be installed in the core sections 64 and 66 before, during, or after the formation of the core sections.
The core section 64 includes core segments 74a-74d, and the core section 66 includes core segments 76a-76d.
The combination of the core section 64 and the winding 70 forms a first inductor 78, and the combination of the core section 66 and the winding 72 forms a second inductor 80.
Each core segment 74 and 76 has a respective magnetic reluctance Rcore_segment, which is given by the following equation:
where lcore_segment is the length of the core segment (for example purposes it is assumed that all core segments 74 and 76 have the same length), Acore_segment is the cross-sectional area of the core segment (for example purposes it is assumed that all core segments have the same uniform cross-sectional area throughout their lengths), and μcore_segment is the permeability of the material that forms the core segment (for example purposes, it is assumed that the permeabilities of all the core segments are equal, and that the permeabilities of all core segments are uniform throughout the lengths and widths of the core segments).
The isolator section 68 has two relevant reluctances: Risolator_width in the width w1 dimension of the isolator section, and Risolator_length in the length l dimension of the isolator section. Risolator_width and Risolator_length are given by the following equations:
where wisolator is, in a first-order approximation, the width w1 in
where lisolator is the length l in
As discussed above, to uncouple the inductors 78 and 80 from each other magnetically, one designs the inductor structure 60 such that negligible magnetic flux generated by a current through the winding 70 flows in the core section 66, and such that negligible magnetic flux generated by a current through the winding 72 flows in the core section 64. For purposes of a first-order analysis, details of which are provided below,
Referring to
Because, as discusses above,
R
core_74c
≈R
core_76a
≈R
core_76b
≈R
core_76c
≈R
core_76d
>>R
isolator_length (11)
and
Rcore_74c≈Rcore_76a≈Rcore_76b≈Rcore_76c≈Rcore_76d>>2Risolator_width (12)
such that equation (8) reduces to:
Per equation (14), as discussed above, the isolator section 68 acts as a low-reluctance shunt for the flux ϕ such that ϕcoupling<<ϕ; and, as discussed above, if ϕcoupling<<ϕ, then there is negligible magnetic coupling between the inductors 78 and 80. For example, assuming that length l and area A for Risolator_length are approximately the same as l and A for the components of Rcore_76a-Rcore_76d and assuming that
ϕcoupling≈1.33% ϕ. Therefore, because ϕcoupling is only about 1.33% of the total flux ϕ, for many applications there is negligible magnetic coupling between the inductors 78 and 80. Furthermore, the larger the ratio
the smaller the ratio
the smaller ϕcoupling, and, therefore, the lower the level of magnetic coupling between the inductors 78 and 80.
Consequently, if Risolator_length<<Rcore_74a→Rcore_76d) then the inductor structure 60 includes two inductors 78 and 80, which, for many applications, may be considered to be magnetically uncoupled from one another.
Still referring to
For example, the manufacturing tolerances needed to manufacture the inductor structure 60 may be “looser” than the tolerances needed to manufacture the inductor structure 10. For example, because the core sections 64 and 66 are pressed against the isolator section 68 under high temperature and pressure while the core sections are still malleable, there is no need for precise machining of the core sections or the isolation section to prevent an unintended air gap between a core section and the isolation section. Furthermore, because the structure 60 includes no intended air gaps to provide high flux-isolation reluctances, there is no need for precise machining of air-gap dimensions.
Furthermore, the material from which the core sections 64 and 66 are made may have a relatively high electrical resistance to prevent electrical cross talk between the inductors 78 and 80.
And because the core sections 64 and 66 may have a relative high electrical resistance that prevents electrical cross talk, the windings 70 and 72 may be held “snugly” by the core sections to prevent audible noise caused by vibration of the windings.
In addition, because the magnetic-powder alloy is uniformly distributed within the core sections 64 and 66, the inductors 78 and 80 may have higher magnetic-saturation currents, and a more gradual post-magnetic-saturation fall off of inductance, than the inductors 34 and 36 of
Still referring to
In such an embodiment, the isolator section 68 effectively blocks the flux from one of the inductors 78 and 80 from flowing to the other inductor as described below.
From equation (8) we have:
where
Rcore_sum2=Rcore_76b+Rcore_76c+Rcore_76d (16)
Because, as discussed above,
R
isolator_length
>>R
core_74c
≈R
core_76a
≈R
core_76b
≈R
core_76c
≈R
core_76d (17)
and
Risolator_width>>Rcore_74c≈Rcore_76a≈Rcore_76b≈Rcore_76c≈Rcore_76d (18)
such that equation (15) reduces to:
Per equation (20), as discussed above, the isolator section 68 acts as a high-reluctance impeder of the flux ϕ such that ϕcoupling<<ϕ; and, as discussed above, if ϕcoupling<<ϕ, then there is negligible magnetic coupling between the inductors 78 and 80. For example, assuming that w1 and A for Risolator_width are approximately equal to l/2 and A for the Rcore_74c core segment, and assuming that
ϕcoupling≈1.0% ϕ. Therefore, because ϕcoupling is only about 1.0% of the total flux ϕ, for many applications there is negligible magnetic coupling between the inductors 78 and 80. Furthermore, the larger the ratio,
the smaller the ratio
the smaller ϕcoupling, and, therefore, the lower the magnetic coupling between the inductors 78 and 80.
Consequently, if 2Risolator_width>>Rcore_74c, then the inductor structure 60 includes two inductors 78 and 80, which, for many applications, may be considered to be magnetically uncoupled from one another.
Still referring to
Referring to
The system 150 includes a power supply 152, such as a buck converter, for providing a regulated output voltage Vout to a load 154, such as an integrated circuit (IC), e.g., a controller such as a microprocessor or microcontroller. At least a portion of the power supply 152 and at least a portion of the load 154 may be disposed on a same, or on different, IC dies.
The power supply 152 includes multiple phases 156 that are intended to be magnetically uncoupled from one another. Each phase 156 includes a respective inductor 142 of the inductor structure 140, and includes a respective pair of high-side and low-side transistors 158 and 160.
The power supply 152 also includes phase-current sensors 162, a voltage feedback circuit 164, and a filter capacitor 166.
In addition, the power supply 152 includes a controller 168, which drives the transistors 158 and 160 in response to the feedback sensors 162 and the feedback circuit 164 so as to regulate Vout.
From the foregoing it will be appreciated that, although specific embodiments have been described herein for purposes of illustration, various modifications may be made without deviating from the spirit and scope of the disclosure. Furthermore, where an alternative is disclosed for a particular embodiment, this alternative may also apply to other embodiments even if not specifically stated.
The present application claims the benefit of U.S. Provisional Patent Application Ser. No. 61/553,176 filed on Oct. 29, 2011; which application is incorporated herein by reference in its entirety.
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