KR20170006625A - Coupled-inductor boost-charge pump-flyback converter - Google Patents
Coupled-inductor boost-charge pump-flyback converter Download PDFInfo
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- KR20170006625A KR20170006625A KR1020150097535A KR20150097535A KR20170006625A KR 20170006625 A KR20170006625 A KR 20170006625A KR 1020150097535 A KR1020150097535 A KR 1020150097535A KR 20150097535 A KR20150097535 A KR 20150097535A KR 20170006625 A KR20170006625 A KR 20170006625A
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M3/00—Conversion of dc power input into dc power output
- H02M3/22—Conversion of dc power input into dc power output with intermediate conversion into ac
- H02M3/24—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
- H02M3/28—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac
- H02M3/325—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal
- H02M3/335—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only
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- Dc-Dc Converters (AREA)
Abstract
A primary winding connected to an input power supply for supplying an input voltage and accumulating or discharging the input voltage supplied from the input power supply and a boost switch connected to the primary winding, A boost converter unit for supplying a boost output voltage obtained by converting the input voltage to a first output load resistor and a second output load resistor connected in series; And a secondary side winding magnetically coupled to the primary side winding, wherein the secondary side winding is connected to the first output load resistor having a resistance value smaller than the second output load resistance, Side output terminal of the first output load and the second output load resistor so that the first output load is divided into the first output load resistor and the second output load resistor, A boost-charge pump-flyback converter having a coupling inductor including a flyback converter portion of a differential pump type that supplies a resistor.
Description
The present invention relates to a boost-charge pump-flyback converter having a coupling inductor and, more particularly, to a boost-charge pump-flyback converter including a boost converter and a charge-pump type flyback converter magnetically coupled to the boost converter. .
Renewable energy modules using wind power and solar light, which are attracting attention due to depletion of fossil fuels and climate change, have characteristics that output voltage is low and output voltage fluctuates greatly.
Therefore, a renewable energy module requires a step-up converter to convert low-voltage energy into usable voltage. Accordingly, various boost converters have been actively studied to achieve high voltage output.
Typically, there is a converter that can magnetize a boost converter and a flyback converter to achieve a series high voltage output. Such a converter can achieve a boost output by connecting the outputs of the boost converter and flyback converter in series .
However, since the output of the boost converter connected in series and the output voltage of the flyback converter do not coincide with each other, there is a difficulty in balancing the voltage, so that a separate voltage balancing circuit is further needed, .
One aspect of the present invention relates to a boost-charge pump-flyback converter having a coupling inductor, wherein a boost converter and a charge-pump type flyback converter are magnetically coupled so that a boost converter and a charge- Charge pump-flyback converter having a coupling inductor for outputting an output voltage having an output voltage.
According to an aspect of the present invention, there is provided a boost-charge pump-flyback converter having a coupling inductor, the boost-charge pump-flyback converter including: a primary winding connected to an input power supply for supplying an input voltage and accumulating or discharging the input voltage supplied from the input power supply; And a boost converter connected to the primary winding to supply a boost output voltage obtained by converting the input voltage according to a switching operation of the boost switch to a first output load resistor and a second output load resistor connected in series, part; And a secondary side winding magnetically coupled to the primary side winding, wherein the secondary side winding is connected to the first output load resistor having a resistance value smaller than the second output load resistance, Side output terminal of the first output load and the second output load resistor so that the first output load is divided into the first output load resistor and the second output load resistor, And a flyback converter unit of a differential pump type that supplies the DC voltage to the resistor.
The boost converter unit may further include a boost diode or an active switch provided between the first output load resistor and the second output load resistor connected in series with the primary winding.
The charge pump type flyback converter unit may further include a second flyback diode and a flyback capacitor connected to the secondary side winding, and the second side of the flywheel from the primary side winding in accordance with the turn- The input voltage converted into a winding can be accumulated in the flyback capacitor through the second flyback diode.
The charge pump type flyback converter unit may further include a second flyback diode and a first flyback diode provided between the flyback capacitor and the first output capacitor.
In addition, when the boost output voltage is equally divided into the first output load resistor and the second output load resistor, the first flyback diode may be cut off.
The boost converter unit and the charge pump type flyback converter unit may have the same voltage gain depending on the conduction rate of the boost switch.
According to another aspect of the present invention, there is provided a boost-charge pump-flyback converter having a coupling inductor. The boost-charge pump-flyback converter includes a primary winding connected to an input power supply for supplying an input voltage, A boost converter outputting a boost output voltage obtained by converting the input voltage according to a switching operation of the boost switch to a first output capacitor connected to the primary winding; And a transformer having a primary side winding and a secondary side winding magnetically coupled to the primary side winding, wherein the input voltage is converted to a voltage ratio equal to the boost output voltage through the transformer in accordance with a switching operation of the boost switch To the second output capacitor connected to the secondary side winding, and a charge pump type flyback converter unit.
The boost converter unit is connected to a first H-bridge including a plurality of switches, the charge pump type flyback converter unit is connected to a second H-bridge including a plurality of switches, Bridge and the second H-bridge can be supplied with a voltage having the same voltage ratio to the first H-bridge and the second H-bridge so that the plurality of switches included in the second H-bridge can be phase-shifted controlled.
The boost converter unit may further include a boost diode or an active switch provided between the primary side winding and the second output capacitor.
In addition, the boost converter unit may accumulate the input voltage in the primary winding according to the turn-on operation of the boost switch.
In addition, the boost converter unit may discharge the input voltage accumulated in the primary winding according to the turn-off operation of the boost switch.
The charge pump type flyback converter unit may further include a second flyback diode and a flyback capacitor connected to the secondary side winding, and is converted and transmitted through the transformer according to the turn-on operation of the boost switch And the input voltage may be accumulated in the flyback capacitor through the second flyback diode.
The charge pump type flyback converter unit may further include a second flyback diode and a first flyback diode provided between the flyback capacitor and the first output capacitor.
The boost converter unit and the charge pump type flyback converter unit may have the same voltage gain depending on the conduction rate of the boost switch.
According to an aspect of the present invention, a magnetically coupled boost converter and a charge pump type flyback converter output an output voltage having the same voltage ratio, thereby equalizing an output voltage series-connected, It can be divided into a plurality of constant series voltages.
In addition, a separate voltage balancing circuit is not required, and a voltage balancing circuit can be implemented with a single switch, thereby reducing the manufacturing cost of the converter and reducing the volume of the converter.
1 is an equivalent circuit diagram of a boost-charge pump-flyback converter according to an embodiment of the present invention
2 is an equivalent circuit diagram of a boost-charge pump-flyback converter according to another embodiment of the present invention.
FIG. 3 is a schematic circuit diagram for explaining the operation of the boost-charge pump-flyback converter shown in FIG. 2. FIG.
4 is a schematic circuit diagram for explaining an example of use of a boost-charge pump-flyback converter according to another embodiment of the present invention.
The following detailed description of the invention refers to the accompanying drawings, which illustrate, by way of illustration, specific embodiments in which the invention may be practiced. These embodiments are described in sufficient detail to enable those skilled in the art to practice the invention. It should be understood that the various embodiments of the present invention are different, but need not be mutually exclusive. For example, certain features, structures, and characteristics described herein may be implemented in other embodiments without departing from the spirit and scope of the invention in connection with an embodiment. It is also to be understood that the position or arrangement of the individual components within each disclosed embodiment may be varied without departing from the spirit and scope of the invention. The following detailed description is, therefore, not to be taken in a limiting sense, and the scope of the present invention is to be limited only by the appended claims, along with the full scope of equivalents to which such claims are entitled, if properly explained. In the drawings, like reference numerals refer to the same or similar functions throughout the several views.
Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the drawings.
1 is an equivalent circuit diagram of a boost-charge pump-flyback converter according to an embodiment of the present invention.
1, a boost-charge pump-flyback converter according to an embodiment of the present invention includes a
The boost-charge pump-flyback converter according to an embodiment of the present invention receives an input voltage V i from an
At this time, the plurality of output load resistors in series (R 1, R 2) different sizes plurality of output load resistance (R 1, R 2) depending on the case where the unbalance occurs in the output voltage across each of the charge pump method of The input voltage V i is converted through the
In this case, the
Hereinafter, for convenience of explanation, a description will be given of an example in which two output load resistors of the first output load resistor R 1 and the second output load resistor R 2 are connected in series.
The
Specifically, the primary winding N p included in the
At this time, when the
The primary winding N p may be connected to the
Further, as is active switch boost switch (S b) contained in the
The anode of the boost diode D 1 included in the
On the other hand, such as FIG. 1, the
Such a
Further,
At this time, when the magnitudes of the first output load resistor R 1 and the second output load resistor R 2 are the same, the first output load resistor R 1 and the second output load resistor R 2 , a voltage of each "V b / 2" can take evenly.
On the other hand, when there is a difference in the magnitudes of the first output load resistor R 1 and the second output load resistor R 2 , the first output load resistor R 1 and the second output load resistor R 2 may be unbalanced.
Accordingly, the boost-charge pump-flyback converter according to the embodiment of the present invention is characterized in that the output load resistor having a small size among the plurality of output load resistors (R 1 , R 2 ) The voltage applied to the plurality of output load resistors R 1 and R 2 can be equalized through the charge pump type
The charge pump type
Specifically, the secondary-side winding (N s) may form a transformer coupled magnetization and the primary side winding (N p) as described above. At this time, and the output voltage (V f) of the
One end of the secondary winding N s may be connected to the anode of the second flyback diode D 3 and the other end may be connected to one end of the flyback capacitor C 1 and the second flyback diode D 3 may be connected to the other end of the fly-back capacitor C 1 .
The contact of the cathode of the second flyback diode D 3 and the other end of the flyback capacitor C 1 is connected to the anode of the first flyback diode D 2 and the contact of the first flyback diode D 2 May be connected to an output load resistor of a smaller one of the first output load resistor R 1 and the second output load resistor R 2 . In FIG. 1, the first output load resistor R 1 is smaller than the second output load resistor R 2 . Therefore, the output of the charge pump type
The charge pump-type
The
When the boost switch S b is turned off, the charge stored in the flyback capacitor C 1 flows through the first flyback diode D 2 to the
On the other hand, the
In other words, the boost-charge pump-flyback converter according to the embodiment of the present invention is a voltage conversion circuit and an output voltage balancing circuit, in which a plurality of output load resistors R 1 and R 2 connected in series have the same size , the size of the case where the output voltage is equal, the
Specifically, the voltage gain of the
In
The voltage gain of the
Equation 2 M charge from - flyback is the conduction rate of a voltage gain of the
Thus, when the N is 0.5, the
At this time, the voltage across the first output load resistance (R 1) a first output load resistance (R 1) in size through a second output load resistance (R 2), boost converter 110 is smaller than the size of the V b / 2, the first flyback diode D 2 is turned on. When the boost switch S b is turned off, the output of the charge pump type
Therefore, when the first output capacitor is an electric charge to a first output load resistance (R 1) is passed through the (130a), and the voltage applied to the first output load resistance (R 1) V b / 2 is the first flyback The diode D 2 is shut off, so that the
As a result, the output voltage V b of the
On the other hand, match the equations (1) and, according to equation (2), a boost switch (S b), the conduction rate D over a boost
2 is an equivalent circuit diagram of a boost-charge pump-flyback converter according to another embodiment of the present invention.
Referring to FIG. 2, the boost-charge pump-flyback converter according to another embodiment of the present invention includes a boost converter unit 110 'and a boost converter unit 110' (120 ').
The boost-charge pump-flyback converter according to another embodiment of the present invention may receive the input voltage V i from the input power source 100 'and may transfer the input voltage V i to the plurality of
Accordingly, the boost-charge pump-flyback converter according to another embodiment of the present invention includes a plurality of
Hereinafter, for convenience of explanation, two output capacitors of the
The boost converter section 110 'may be configured to include a primary winding N p , a boost switch S b , and a boost diode D 1 .
Specifically, the primary winding N p included in the boost converter section 110 'is magnetically coupled with the secondary winding N s included in the fly-back converter section 120' A transformer can be formed.
In this case, when the boost converter unit 110 'converts the input voltage V i into the boost mode and transfers the input voltage V i to the plurality of output load resistors R 1 and R 2 connected in series, the transformer functions as an inductor Therefore, in FIG. 2, which is an equivalent circuit of a boost-charge pump-flyback converter according to another embodiment of the present invention, a magnetizing inductor L m connected in parallel with the primary winding N p is shown.
One end of the primary side winding N p may be connected to the input power source 100 'and the other end may be connected to the boost switch S b and the boost diode D 1 connected in parallel.
Further, as is active switch boost switch (S b) contained in the
The anode of the boost diode D 1 included in the boost converter section 110 'is connected to the other terminal of the primary winding N p and the drain terminal of the boost switch S b as described above, the cathode of (D 1) can be coupled to the first output capacitor (130a ').
2, a boost diode D 1 is provided in the boost converter unit 110 'to provide a unidirectional power transfer. However, in order to transfer bi-directional power, the boost diode D 1 may be replaced with a MOSFET switch or an IGBT switch Can be replaced by an active switch.
The charge pump type flyback converter unit 120 'includes a secondary side winding N s , a first flyback diode D 2 , a second flyback diode D 3 , and a flyback capacitor C 1 .
Specifically, the secondary-side winding (N s) may form a transformer coupled magnetization and the primary side winding (N p) as described above. At this time, if necessary, a plurality of secondary side windings N s may be provided to form a plurality of transformers, and the output voltage V f of the charge pump type
One end of the secondary winding N s may be connected to the anode of the second flyback diode D 3 and the other end may be connected to one end of the flyback capacitor C 1 and the second flyback diode D 3 may be connected to the other end of the fly-back capacitor C 1 .
The contact of the cathode of the second flyback diode D 3 and the other end of the flyback capacitor C 1 is connected to the anode of the first flyback diode D 2 and the contact of the first flyback diode D 2 May be coupled to the
In the boost-charge pump-flyback converter according to another embodiment of the present invention, the boost converter unit 110 'receives the input voltage V i from the input power source 100' And the charge pump type flyback converter unit 120 'can accumulate the input voltage V i converted by the turn ratio of the transformer from the boost converter unit 110' into the
FIG. 3 is a schematic circuit diagram for explaining the operation of the boost-charge pump-flyback converter shown in FIG. 2. FIG.
Referring to FIG. 3A, the current flow can be confirmed when the boost switch S b is turned on.
A boost switch (S b) is turned on when the boost converter section (110 ') of the input power source (100'), the primary side winding (N p) and a boost switch (S b) is to form a closed circuit, the primary side winding ( N p may store energy supplied from the input power source 100 '.
Further, from the boost switch (S b), the flyback converter portion 120 'of the turned-on when, charge pump of the primary side winding (N p) and a secondary side winding (N s), the input power (100 via ") The input voltage V i converted by the transformer turn ratio can be received and the transferred energy can be accumulated in the flyback capacitor C 1 through the second flyback diode D 3 .
Referring to (b) of FIG. 3, the current flow can be confirmed when the boost switch S b is turned off.
Boost output voltage boost switch (S b) turns off when the boost converter section (110 ') of a power source (100, plus the voltage emitted by the primary side winding (N p) of the input voltage (V i) supplied from a) (V b) may be supplied through the boost diode (D 1) to a first output capacitor (130a ').
Further, a boost switch (S b) turned off when, up flyback converter portion 120 'of the pump system of the energy accumulated in the fly-back capacitor (C 1) through a first fly-back diode (D 2) Can be output at the flyback output voltage V f , which can be supplied to the
Here, the voltage gain of the boost converter unit 110 'can be obtained using Equation (1) described above, and the voltage gain of the charge pump type flyback converter unit 120' can be obtained by using Equation Can be obtained.
According to equations (1) and (2), the changes in the voltage gain of the boost converter section 110 'and the charge pump type flyback converter section 120' according to the conduction rate D of the boost switch S b are the same The
That is, the boost in accordance with another embodiment of the invention a charge pump - a flyback converter is one of a boost switch (S b) boost converter portion 110 'and the charge pump of the flyback converter section 120' through the So that a plurality of output voltages varying at the same rate can be output simultaneously.
As described above, the boost-charge pump-flyback converter according to another embodiment of the present invention can be used in connection with a multi-level inverter requiring a plurality of input voltages having a constant voltage ratio.
Multi-level inverters have high efficiency due to high voltage output, low voltage stress and small filter size. Especially, they can be used in connection with renewable energy modules. The multi-level inverter can be implemented by connecting a plurality of H-bridges in parallel, and the input voltage supplied to each H-bridge must have a constant voltage ratio.
Therefore, the boost-charge pump-flyback converter and the multilevel inverter according to another embodiment of the present invention can be connected to supply a plurality of input voltages having constant voltage ratios to the respective H-bridges of the multilevel inverter. In this regard, it can be explained with reference to Fig.
4 is a schematic circuit diagram for explaining an example of use of a boost-charge pump-flyback converter according to another embodiment of the present invention.
Referring to FIG. 4, the first H-
The first H-
In the first H-
The first contact a between the first switch S 1 and the second switch S 2 is connected to the second contact b between the seventh switch S 7 and the eighth switch S 8 , And the third contact c between the third switch S 3 and the fourth switch S 4 is connected to the fourth contact d between the fifth switch S 5 and the sixth switch S 6 , Lt; / RTI >
The multilevel inverter including the first H-
At this time, the first to fourth switches S1 to S4 included in the first H-
Accordingly, in order to output the optimum voltage level, for example, the seventh level voltage level, the input voltage supplied to the first H-
Meanwhile, the
Thus, when turn-off of the boost switch (S b), the first output capacitor (130a ') is a boost converter section (110' may be supplied a boosted output voltage (V b) from a), a second output capacitor (130b ' May be supplied with the flyback output voltage V f from the charge pump flyback converter unit 120 '.
I.e., boost switch (S b) of the turn-off when the boost converter section 110 'Power 100' side one of the input voltage (V i) supplied from a winding (N p), the boost voltage is added that is released from the output voltage (V b) is through the boost diode (D 1) may be supplied to the first output capacitor (130a ').
Further, a boost switch (S b) turned off when, up flyback converter portion 120 'of the pump system of the energy accumulated in the fly-back capacitor (C 1) through a first fly-back diode (D 2) Can be output at the flyback output voltage V f , which can be supplied to the
At this time, the change of the voltage gain given by the expressions (1) and, according to equation (2), the boost switch, a boost converter section (110 ') and a charge pump flyback converter section (120') in accordance with the conduction ratio D of (S b) The
Accordingly, the first H-
Here, since the size of the flyback output voltage (V f) to be supplied to the second output capacitor (130b ') in accordance with the turns ratio of the transformer can be determined, turns ratio of the transformer 2 is preferably 1. That is, it is preferable that the second half of the output capacitor (130b '), the boost output voltage (V b) supplied charge pump supplied flyback output voltage (V f), a first output capacitor (130a to "on).
As such, the boost-charge pump-flyback converter according to another embodiment of the present invention can simultaneously control a plurality of input voltages of the multi-level inverter.
While the present invention has been particularly shown and described with reference to exemplary embodiments thereof, it will be understood by those skilled in the art that various changes and modifications may be made therein without departing from the spirit and scope of the invention as defined in the appended claims. It will be possible.
100: Input power
110: Boost converter section
120: charge-pump type flyback converter unit
130a: a first output capacitor
130b: a second output capacitor
200a: first H-bridge
200b: second H-bridge
Claims (14)
Side winding is magnetically coupled to the primary winding, the secondary winding is connected to the first output load resistor having a resistance value smaller than the second output load resistance, and the boost output voltage is connected to the first The second output load resistor and the second output load resistor so that the input voltage, which is converted from the primary winding to the secondary winding and transferred according to the switching operation of the boost switch, Charge pump-type flyback converter unit that supplies the boosted charge pump to the boost pump.
The boost converter unit includes:
And a coupling inductor further comprising a boost diode or an active switch provided between the first output load resistor and the second output load resistor connected in series with the primary winding.
In the charge pump type flyback converter unit,
Further comprising a second flyback diode and a flyback capacitor connected to the secondary side winding,
A boost-charge pump having a coupling inductor for accumulating the input voltage, which is converted from the primary winding to the secondary winding in accordance with a turn-on operation of the boost switch, through the second flyback diode, - Flyback converter.
In the charge pump type flyback converter unit,
Further comprising a coupling inductor further comprising a second flyback diode and a first flyback diode provided between the flyback capacitor and the first output capacitor.
Charge flyback converter having a coupling inductor in which the first flyback diode is shut off when the boost output voltage is equally divided to the first output load resistor and the second output load resistor.
Wherein the boost converter unit and the charge pump type flyback converter unit comprise:
Charge pump-flyback converter having a coupling inductor having the same voltage gain according to a conduction rate of the boost switch.
And a charge pump flyback transformer comprising a primary side winding and a secondary side winding magnetically coupled to the primary side winding, wherein the charge pump flyback transformer is responsive to the switching operation of the boost switch to apply the input voltage to the boost Charge flyback converter having a coupling inductor including a charge pump type flyback converter unit that converts the output voltage to a voltage ratio equal to the output voltage and outputs the converted voltage to a second output capacitor connected to the secondary side winding.
The boost converter unit is connected to a first H-bridge including a plurality of switches,
The charge pump type flyback converter unit is connected to a second H-bridge including a plurality of switches,
Bridge for supplying a voltage having the same voltage ratio to the first H-bridge and the second H-bridge so that the plurality of switches included in the first H-bridge and the second H- - Charge pump - flyback converter.
The boost converter unit includes:
And a coupling inductor further comprising a boost diode or an active switch provided between the primary side winding and the second output capacitor.
The boost converter unit includes:
And a coupling inductor in which the input voltage is accumulated in the primary winding according to a turn-on operation of the boost switch.
The boost converter unit includes:
And a coupling inductor in which the input voltage accumulated in the primary winding is discharged according to a turn-off operation of the boost switch.
In the charge pump type flyback converter unit,
Further comprising a second flyback diode and a flyback capacitor connected to the secondary side winding,
A boost-charge pump-fly having a coupling inductor for accumulating the input voltage, which is converted through the charge pump flyback transformer according to the turn-on operation of the boost switch, into the flyback capacitor through the second flyback diode; Back converter.
In the charge pump type flyback converter unit,
Further comprising a coupling inductor further comprising a second flyback diode and a first flyback diode provided between the flyback capacitor and the first output capacitor.
Wherein the boost converter unit and the charge pump type flyback converter unit comprise:
Charge pump-flyback converter having a coupling inductor having the same voltage gain according to a conduction rate of the boost switch.
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TWI810384B (en) * | 2018-10-24 | 2023-08-01 | 愛爾蘭商亞德諾半導體國際無限公司 | Coupled inductor circuit and method of controlling a dc-dc coupled inductor circuit having a winding |
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US11601049B2 (en) | 2021-01-19 | 2023-03-07 | Analog Devices, Inc. | Multi-phase hybrid converter |
US11581796B2 (en) | 2021-01-19 | 2023-02-14 | Analog Devices, Inc. | Pulse width modulation controllers for hybrid converters |
US11594956B2 (en) | 2021-01-19 | 2023-02-28 | Analog Devices, Inc. | Dual-phase hybrid converter |
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JP2000060123A (en) * | 1998-08-17 | 2000-02-25 | Rohm Co Ltd | Dc-to-dc converter using primary winding of transformer |
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이춘구 외. "차지펌프를 적용한 셀 밸런싱 다출력 플라이백 컨버터". 대한전기학회 발표논문. (발표일 : 2015.04.)* * |
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TWI810384B (en) * | 2018-10-24 | 2023-08-01 | 愛爾蘭商亞德諾半導體國際無限公司 | Coupled inductor circuit and method of controlling a dc-dc coupled inductor circuit having a winding |
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