In addition to the coupled-inductor assembly 14, the converter 10 includes a controller 18, high-side drive transistors 201-20N, low-side drive transistors 221-22N, a filter capacitor 24, and an optional filter inductor 26. A winding 16 and the high-side and low-side transistors 20 and 22 coupled to the winding compose a respective phase 12. For example, the winding 161 and transistors 201 and 221 compose the phase 121.
The controller 18 may be any type of controller suitable for use in a buck converter, is supplied by voltages VDDcontroller and VSScontroller, and receives the regulated voltage Vout and a reference voltage Vref.
The high-side transistors 201-20N, which are each switched “on” and “off” by the controller 18, are power NMOS transistors that are respectively coupled between input voltages VIN1-VINN and the windings 161-16N. Alternatively, the transistors 201-20N may be other than power NMOS transistors, and may be coupled to a common input voltage. Moreover, the transistors 201-20N may be integrated on the same die as the controller 18, may be integrated on a same die that is separate from the die on which the controller is integrated, or may be discrete components.
Similarly, the low-side transistors 221-22N, which are each switched on and off by the controller 18, are power NMOS transistors that are respectively coupled between low-side voltages VL1-VLN and the windings 161-16N. Alternatively, the transistors 221-22N may be other than power NMOS transistors, and may be coupled to a common low-side voltage such as ground. Moreover, the transistors 221-22N may be integrated on the same die as the controller 18, may be integrated on a same die that is separate from the die on which the controller is integrated, may be integrated on a same die as the high-side transistors 201-20N, may be integrated on respective dies with the corresponding high-side transistors 201-20N (e.g., transistors 201 and 221 on a first die, transistors 202 and 222 on a second die, and so on), or may be discrete components.
The filter capacitor 24 is coupled between Vout and a voltage VSScap, and works in concert with the windings 161-16N and the filter inductor 26 (if present) to maintain the amplitude of the steady-state ripple component of the regulated output voltage Vout within a desired range that may be on the order of hundreds of microvolts to tens of millivolts. Although only one filter capacitor 24 is shown, the converter 10 may include multiple filter capacitors coupled in electrical parallel. Furthermore, VSScap may be equal to VSScontroller and to VL1-VLN; for example, all of these voltages may equal ground.
As further discussed below, the filter inductor 26 may be omitted if the leakage inductances of the windings 161-16N are sufficient to perform the desired inductive filtering function. In some applications, omission of the filter inductor 26 is desired to reduce the size and component count of the converter 10.
Each of the windings 161-16N of the coupled-inductor assembly 14 may be modeled as a self inductance L and a resistance DCR. For purposes of discussion, only the model components of the winding 161 are discussed, it being understood that the model components of the other windings 162-16N are similar, except for possibly their values.
The self inductance L1 of the winding 161 may be modeled as two zero-resistance inductances: a magnetic-coupling inductance LC1, and a leakage inductance Lleak1. When a current flows through the winding 161, the winding generates a magnetic flux. The value of the coupling inductance LC1 is proportional to the amount of this flux that is coupled to other windings 162-16N, and the value of the leakage inductance Lleak1 is proportional to the amount of the remaining flux, which is not coupled to the other windings 162-16N. In one embodiment, LC1=LC2= . . . =LCN, and Lleak1=Lleak2= . . . =LleakN, although inequality among the coupling inductances LC or the leakage inductances Lleak is contemplated. Furthermore, in one embodiment, the respective magnetic-coupling coefficients between pairs of coupling inductances LC are equal (e.g., a current through LC1 magnetically induces respective equal currents in LC2, . . . LCN), although unequal coupling coefficients are contemplated.
The resistance DCR1 is the resistance of the winding 161 when a constant voltage V is applied across the winding and causes a constant current I to flow through the winding. That is, DCR1=V/I.
As discussed below in conjunction with
Reducing the DCR of one or more of the windings 161-16N reduces the amount of power (I2·DCR) that the windings (and thus the coupled-inductor assembly 14) consume, and thus reduces the amount of heat that the windings (and thus the coupled-inductor assembly) generate.
Consequently, a coupled-inductor assembly 14 having one or more windings with reduced DCRs may allow the converter 10 to be more power efficient and to generate less heat than a converter that includes a conventional coupled-inductor assembly.
Still referring to
While the high-side transistor 201 is on and the low-side transistor 221 is off, an increasing current i1 flows from VIN1, through the transistor 201, winding 161, and filter inductor 26 (if present), and to the capacitor 24 and to a load 28 that is supplied by Vout. This increasing current i1 generates a magnetic flux that induces respective currents to flow through the coupled phases 122-12N.
In contrast, while the high-side transistor 201 is off and the low-side transistor 221 is on, the current i1 flows from VL1, through the transistor 221, winding 161 and filter inductor 26 (if present), and to the capacitor 24 and to the load 28. The current i1 may be increasing or decreasing depending on whether the current(s) flowing through one or more other windings magnetically induces a current(s) to flow through the phase 121.
The controller 18 compares Vout to Vref, and controls the high-side and low-side transistors 201-20N and 221-22N to maintain a predetermined constant relationship between Vout and Vref in the steady state, e.g., Vout=2 Vref. For example, as current drawn by the load 28 increases, the controller 18 may increase the on times or duty cycles of the high-side transistors 201-20N to accommodate the increased load current; conversely, as the load current decreases, the controller may decrease the on times or duty cycles of the high-side transistors. The controller 18 may use a pulse-width-modulation (PWM) technique, a constant-on-time technique, or another technique to control the on and off times of the high-side and low-side transistors.
Alternate embodiments of the buck converter 10 are contemplated. For example, the converter 10 may be modified to generate Vout having a negative value.
Further descriptions of coupled-inductor power supplies and explanations of their potential advantages over non-coupled-inductor power supplies appear in the following references, which are incorporated by reference: Wong et al., Investigating Coupling Inductors In The Interleaved QSW VRM, IEEE 2000; Park et al., Modeling And Analysis Of Multi-Interphase Transformers For Connecting Power Converters In Parallel, IEEE 1997.
In addition to the windings 321-32N, the coupled-inductor assembly 30 includes a core 34 having winding forms 361-36N and members 38 and 40, which interconnect the forms. That is, using a ladder analogy, the forms 361-36N are the rungs of the ladder, and the members 38 and 40 are the rails to which the rungs are connected. Spaces 411-41N−1 are located between the forms 361-36N.
Each winding 321-32N is formed from a respective conductor 421-42N, which has a respective width W1-WN, is partially wound about a corresponding form 361-36N, and extends beneath and adjacent to the remaining forms. For example, the winding 321 is formed from a conductor 421 that is partially wound about the form 361 and extends beneath and adjacent to the remaining forms 362-36N. Similarly, the winding 322 is formed from a conductor 422 that is partially wound about the form 362 and extends beneath and adjacent to the remaining forms 361 and 363-36N, and so on. The conductors 421-42N may be made from any suitable conductive material such as copper or another metal, and may, but need not be, electrically insulated from the forms 361-36N.
Because each conductor 42 is only partially wound about a respective form 36, the respective partial-turn winding 32 may be shorter, and thus may have a smaller DCR, than a conventional winding that may be wound about a form multiple times, i.e., that may have multiple turns. Furthermore, partially winding the conductor 42 may allow the conductor to be wider, and thus have a still smaller DCR, than a conductor that forms a conventional multi-turn winding.
Referring to
As the current i1 flows through the conductive loop 44, it generates a total magnetic flux φT. In a first-order approximation, a first portion φ1 of the total flux φT flows through the form 361, and a second portion φ2 of the total flux φT flows outside of the form 361 such that φT is given by the following equation:
φT=φ1+φ2 (1)
The first flux portion φ1 flows through, and is equally divided among, the remaining forms 362-36N such that the flux φf flowing through each of the remaining forms is given by the following equation:
φf=φ1/(N−1) (2)
Therefore, the first flux portion φ1 is the coupling flux, because it magnetically couples the winding 321 to the windings 322-32N. That is, when φ1 is time varying (i.e., dφ1/dt ≢0 in response to di/dt≢0), it induces in each of the other conductors 422-42N a respective current if that is proportional to φf, where, in this embodiment, if(t) has the same direction as i1.
Conversely, the second flux portion φ2 is the leakage flux, because it does not magnetically couple the winding 321 to any of the windings 322-32N.
Therefore, referring to
LC1/L1˜φ1/φT (3)
Lleak1/L1˜φ2/φT (4)
φ1/φT˜R2/(R1+R2) (5)
φ2/φT˜R1/(R1+R2) (6)
LC1/L1˜R2/(R1+R2) (7)
Lleak1/L1˜R1/(R1+R2) (8)
where R1 is the reluctance of the path through which the coupling flux φ1 traverses the core 34, and R2 is the reluctance of the path outside of the core through which the leakage flux φ2 flows.
Consequently, one may vary the values of LC1 and Lleak1 by varying the reluctances R1 and R2. One may also vary the values of LC1 and Lleak1 by varying parameters other than R1 and R2, although a discussion of these other parameters is omitted for brevity.
Furthermore, because DCR1 of the partial winding 321 may be smaller than the DCR of a conventional multi-turn winding, the power consumed and heat generated by the winding 321 while the current i1 flows therethrough may be reduced relative to the power consumed and heat generated by the conventional winding for a given value of i1.
Referring again to
The coupled-inductor assembly 50 is similar to the coupled-inductor assembly 40 of
As discussed above in conjunction
Because the plate 52 is outside of the core 34, the plate forms part of the leakage path through which the leakage flux φ2 flows.
Therefore, in a first-order approximation, the reluctance RP of the plate 52 is in series with the reluctance RM of the material (e.g., air) that forms the remaining part of the leakage path.
Because RM is typically greater than RP, the plate 52 reduces the overall reluctance of the leakage path (as compared to the reluctance of a leakage path formed entirely from, e.g., air), and, therefore, per equation (8), increases the value of the leakage inductance of the winding 321 for a given core reluctance—in equation (8), Lleak1 represents the leakage inductance of the winding 321, R1 represents the reluctance of the core 34, and R2 represents the overall reluctance of the leakage path of which the plate 52 is a part.
One may, therefore, specify the parameters of the plate 52 to give the desired values for the leakage inductances Lleak1-LleakN of the windings 321-32N. Parameters that affect the reluctance of the plate 52 itself include the material from which the plate is made and the dimensions of the plate. And other parameters that affect the reluctance of the leakage path include the placement and orientation of the plate relative to the core 34. For example, one may specify the parameters of the plate 52 to give values for Lleak1-LleakN sufficient to omit the filter inductor 26 (
Depending on the specified parameters, the plate 52 may be mounted directly to the core 34, or may be mounted to a spacer (not shown in
Still referring to
The coupled-inductor assembly 60 is similar to the coupled-inductor assembly 30 of
As discussed above in conjunction
However, unlike in the core 34 of
Therefore, φcl is also leakage flux, such that in a first-order approximation, the total leakage flux φL generated by the current i is given by the following equation:
φL=φ2+φcl (9)
Because the leakage inductance Lleak1 of the winding 321 is proportional to φL, the leakage form 64 reduces the overall reluctance of the effective leakage path, and thus increases the value of the leakage inductance Lleak1 for a given value of the self inductance L1.
Furthermore, if the reluctance Rc1 of the leakage form 64 is significantly less (e.g., on the order of ten or more times less) than the reluctance of the non-core leakage path through which φ2 flows, then the total leakage flux φL may be approximated as:
φL≈φcl (10)
One may, therefore, specify the reluctance Rc1 of the leakage form 64 to give the desired values for the leakage inductances Lleak1-LleakN of the windings 321-32N. Parameters that affect the reluctance Rc1 of the leakage form 64 include the material from which the form is made, the dimensions of the form, the dimensions of an optional gap 66 in the form, and the material inside of the gap. In a first-order approximation, the gap 66 is in magnetic series with the remaining portion of the leakage form 64; consequently, the total reluctance Rc1 of the leakage form is the sum of the reluctance Rgap of the gap and the reluctance of the remaining portion Rrp. The reluctance of the gap 66 depends on, e.g., its width and other dimensions, and the material that fills the gap.
As discussed above in conjunction with
Still referring to
In addition to the windings 721-72N, the coupled-inductor assembly 70 includes a core 74 having winding forms 761-76N and members 78 and 80, which interconnect the forms. Spaces 821-82N−1 are disposed between the forms 761-76N.
Referring to
Because each conductor 841-84N is only partially wound about a respective form 761-76N, the respective winding 721-72N may be shorter, and thus may have a smaller DCR, than a conventional multi-turn winding. Furthermore, partially winding the conductor 84 may allow the conductor to be wider, and thus have a still smaller DCR, than a conductor that forms a conventional multi-turn winding.
One difference between the coupled-inductor assembly 30 of
The operation of the coupled-inductor assembly 70 is similar to, and is in accordance with the same magnetic principles as, the operation of the coupled-inductor assembly 30 of
Still referring to
The system 90 includes computer circuitry 94 for performing computer functions, such as executing software to perform desired calculations and tasks. The circuitry 94 typically includes a controller, processor, or one or more other integrated circuits (ICs) 96, and the power supply 92, which provides power to the IC(s) 96. One or more input devices 98, such as a keyboard or a mouse, are coupled to the computer circuitry 94 and allow an operator (not shown) to manually input data thereto. One or more output devices 100 are coupled to the computer circuitry 94 to provide to the operator data generated by the computer circuitry. Examples of such output devices 100 include a printer and a video display unit. One or more data-storage devices 102 are coupled to the computer circuitry 94 to store data on or retrieve data from external storage media (not shown). Examples of the storage devices 102 and the corresponding storage media include drives that accept hard and floppy disks, tape cassettes, compact disk read-only memories (CD-ROMs), and digital-versatile disks (DVDs).
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 invention. Furthermore, where an alternative is disclosed for a particular embodiment, this alternative may also apply to other embodiments even if not specifically stated.
This application claims priority to U.S. Provisional Application Ser. No. 60/845,941, filed on Sep. 19, 2006, which is incorporated by reference.
Number | Date | Country | |
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60845941 | Sep 2006 | US |