CN113708515B - Wireless power transmission system with automatic regulation and control second harmonic feedback function - Google Patents
Wireless power transmission system with automatic regulation and control second harmonic feedback function Download PDFInfo
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- CN113708515B CN113708515B CN202111008323.1A CN202111008323A CN113708515B CN 113708515 B CN113708515 B CN 113708515B CN 202111008323 A CN202111008323 A CN 202111008323A CN 113708515 B CN113708515 B CN 113708515B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
- H02J50/80—Circuit arrangements or systems for wireless supply or distribution of electric power involving the exchange of data, concerning supply or distribution of electric power, between transmitting devices and receiving devices
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
- H02J50/20—Circuit arrangements or systems for wireless supply or distribution of electric power using microwaves or radio frequency waves
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Abstract
The invention provides a wireless power transmission system with an automatic regulation and control second harmonic feedback function, which comprises a transmitting end and a receiving end, wherein the transmitting end comprises a power source, a circulator, a first dual-band antenna and a controller, and the receiving end comprises a second dual-band antenna, a rectifier and an automatic regulation and control second harmonic feedback circuit; the rectifier comprises a matching circuit, a Schottky diode, a filter capacitor and a load resistor; the automatic regulation and control second harmonic feedback circuit comprises a voltage comparator, a reference voltage, a transistor, a switch and a quarter-wavelength short circuit branch. The rectifier output voltage increases as the power source increases, when the output voltage is greater than V REF When the voltage comparator controls the PMOS source and drain to be conducted, the normally-off single-pole single-throw switch is turned on, the lambda/4 short-circuit branch is short-circuited to the second harmonic, the first dual-band antenna does not receive the second harmonic of the rectifier any more, and compact, high-efficiency and distance-adaptive wireless power transmission is realized.
Description
Technical Field
The present invention relates to a wireless power transmission system, and more particularly, to a wireless power transmission system with automatic regulation and control of second harmonic feedback.
Background
The wireless power transmission technology provides powerful guarantee for the rapid development of the wireless sensor network. The common wireless power transmission system is shown in fig. 1, and mainly comprises a high-gain transmitting antenna, a high-gain receiving antenna, a power source, a rectifier and the like, so that the purpose of high-efficiency wireless power transmission of transmitting and receiving ends is realized. However, when the distance (d) between the transmitting end and the receiving end is changed, it is difficult to ensure that the input power requirement of the optimal rectifying efficiency of the rectifier is met under the condition that the transmitting antenna is excited by the power source. Thus, there is a need to dynamically regulate the power source output fundamental frequency (V) through some feedback mechanism (e.g., second harmonic feedback) ωo ) The signal, the change of the distance between the self-adaptive transmitting and receiving antennas, maintains the optimal input power and rectifying efficiency of the rectifier.
Disclosure of Invention
The invention aims to provide a wireless power transmission system with automatic regulation and control of second harmonic feedback, which comprises a transmitting end and a receiving end; the transmitting end is composed of a power source, a circulator, a dual-band antenna A and a controller. The receiving end is formed by a dual-band antenna B, a rectifier and an automatic regulation and control second harmonic feedback feedRoad construction; the rectifier consists of a matching circuit (L) m 、C m ) Schottky diode (D) 0 ) Filter capacitor (C) L ) Load resistor (R) L ) Constructing; automatic regulation of second harmonic feedback supply route voltage Comparator (COMP), reference voltage (V REF ) P-type metal oxide semiconductor transistor (PMOS), normally-OFF single pole single throw switch (Always-OFF SPST), and quarter wavelength short circuit branch. The port 1 of the circulator is connected with the output end of the power source, the port 2 of the circulator is connected with the dual-band antenna A, and the port 3 of the circulator is connected with the controller; the controller is respectively connected with the circulator port 3 and the power source bias port; the output end of the power source is connected with the port 1 of the circulator, and the offset port is connected with the controller; the rectifier matching circuit (L m 、C m ) Middle C m One end is connected with the dual-band antenna B and the other end is connected with the L m Schottky diode (D) 0 ) A positive electrode; the rectifier matching circuit (L m 、C m ) Middle L m One end is grounded, the other end is connected with C m Schottky diode (D) 0 ) A positive electrode; the rectifier schottky diode (D 0 ) Positive electrode matching circuit (L) m 、C m ) Negative electrode connected with filter capacitor (C) L ) Load resistor (R) L ) The method comprises the steps of carrying out a first treatment on the surface of the The filter capacitor (C L ) One end is grounded, the other end is R L Schottky diode (D) 0 ) A negative electrode; the load resistance (R L ) One end is grounded, the other end is connected with C L Schottky diode (D) 0 ) A negative electrode; the negative input end of a voltage Comparator (COMP) of the automatic regulation and control second harmonic feedback circuit is connected with a load resistor (R) L ) An output end, a positive electrode input end of the voltage Comparator (COMP) is connected with a reference voltage (V) REF ) An anode, wherein the output end of the voltage Comparator (COMP) is connected with the grid electrode of the PMOS transistor; said reference voltage (V REF ) The positive electrode is connected with the positive electrode input end of the voltage Comparator (COMP), V REF The negative electrode is grounded; the gate of the P-type metal oxide semiconductor transistor (PMOS) is connected with the output end of the voltage Comparator (COMP), and the drain of the PMOS is connected with the load resistor (R L ) The PMOS source electrode is connected with the SPST bias end; the SPST bias is connected with the source of the PMOS transistor, and the SPST radio frequency input is connected with the matching circuit (L m 、C m ) SPST radio frequency transmission at junctionThe output end is connected with a quarter wavelength short circuit branch joint; one end of the quarter-wavelength short circuit branch is connected with the SPST output end, and the other end of the quarter-wavelength short circuit branch is grounded.
A wireless power transmission system with automatic regulation and control of second harmonic feedback is characterized by solving the problem of deterioration of the receiving power and the rectifying efficiency of a rectifier caused by the change of the distance (d) between transmitting and receiving antennas and maintaining the optimal input power and the rectifying efficiency of the rectifier. In a wireless power transfer system with automatic regulation second harmonic feedback, a DC bias voltage (V dc ) Outputs fundamental frequency signal (V) ωo ) Fundamental frequency power (P) ωo ) Rectifier outputs a DC voltage (V o ) Second harmonic frequency power (P) 2ωo ) With one-to-one monotonically increasing dependence, i.e. V dc_n And P ωo_n 、V o_n P 2ωo (n=1, 2,3 … n denotes the controller scan V dc Times) one-to-one. Thus, control V dc Can realize the output of fundamental frequency power (P) ωo ) Rectifier outputs a DC voltage (V o ) Second harmonic frequency power (P) 2ωo ) Is controlled by a controller. When V is o Less than the reference voltage (V REF ) When the voltage Comparator (COMP) controls the PMOS source and drain to be closed, SPST is closed, and the quarter-wavelength short-circuit branch open circuit acts on the matching circuit (L) m 、C m ) At the junction, second harmonic frequency power (P 2ωo ) The dual band antenna a is fed back through the dual band antenna B and transmits a second harmonic frequency signal (V 2ωo ) To the controller, the controller increments the DC bias voltage (V dc ). When V is o Greater than/equal to the reference voltage (V REF ) When the voltage Comparator (COMP) controls the PMOS source and drain to be conducted, V o Directly acts on the SPST bias end, SPST is started, and a quarter-wavelength short circuit branch is connected with L m 、C m The intersection point is short-circuited by the quarter-wavelength branch to the second harmonic frequency signal (V 2ωo ) Short-circuit reflection, which is reflected on the fundamental frequency signal (V ωo ) Open circuit effect, second harmonic frequency signal (V 2ωo ) Is suppressed and re-enters the schottky diode (D 0 ) Dual band antennaA no longer receives the second harmonic frequency signal (V 2ωo ) Feedback, the controller maintains the DC bias voltage (V dc ) A wireless power transmission system with automatic regulation and control of second harmonic feedback is realized.
The method comprises the following steps:
step 1): the controller initializes the DC bias voltage (V dc_1 ) The power source outputs a fundamental frequency signal (V ωo ) Corresponding fundamental frequency power (P ωo ) Transmitting to a dual-band antenna A through a circulator; the dual-band antenna B receives the fundamental frequency signal (V ωo ) The rectifier is excited to generate a direct voltage (V o_1 ) Second harmonic frequency signal (V) 2ωo ) The method comprises the steps of carrying out a first treatment on the surface of the DC voltage (V) o_1 ) Through the filter capacitor (C) L ) To a load resistor (R L ) An end; DC voltage (V) o_1 ) Transmitting to a negative input terminal of a voltage Comparator (COMP); the quarter-wavelength short-circuit branch opens and acts on the matching circuit (L) m 、C m ) At the junction, second harmonic frequency power (P 2ωo_1 ) Through the filter capacitor (C) L ) Is reflected to the dual-band antenna B to realize the second harmonic frequency power (P 2ωo_1 ) Feeding back; dual band antenna a receives second harmonic frequency power (P 2ωo_1 ) Feedback is transmitted to the controller via the circulator.
Step 2): linear sweep DC bias voltage (V dc_n ) n times (n is greater than or equal to 1, the specific times can be adjusted according to the actual situation), when the controller no longer captures the second harmonic frequency power (P 2ωo_n ) The controller maintains a DC bias voltage (V dc ) The wireless power transmission system with the automatic regulation and control of the second harmonic feedback is realized, and the optimal input power and the optimal rectification efficiency of the rectifier are maintained. In the normal case, the dc bias voltage (V dc_n ) Incremental spacing (V) dc_n -V dc_n-1 ) The smaller the feedback precision of the second harmonic is, the higher the feedback precision of the second harmonic is automatically regulated.
The invention provides a wireless power transmission system with automatic regulation and control second harmonic feedback, which comprises a transmitting end and a receiving end, wherein the transmitting end comprises a power source, a circulator, a first dual-band antenna and a controller, and the receiving end comprises a second dual-band antenna, a rectifier and a controllerAutomatically regulating and controlling a second harmonic feedback circuit; the rectifier comprises a matching circuit, a Schottky diode, a filter capacitor and a load resistor; the automatic regulation and control second harmonic feedback circuit comprises a voltage comparator, a reference voltage, a transistor, a switch and a quarter-wavelength short circuit branch. The rectifier output voltage increases as the power source increases, when the output voltage is greater than V REF When the voltage comparator controls the PMOS source and drain to be conducted, the single-pole single-throw switch is turned on, the lambda/4 short-circuit branch is short-circuited to the second harmonic, and the first dual-band antenna does not receive the second harmonic of the rectifier. Compared with the prior art, the invention has the beneficial effects that the voltage Comparator (COMP), the PMOS, the SPST and the quarter-wavelength short circuit branch are adopted to automatically regulate and control the second harmonic feedback, thereby being beneficial to realizing a compact, high-efficiency and distance self-adaptive wireless power transmission system.
Drawings
Fig. 1 is a prior art wireless power transfer system;
FIG. 2 is a schematic diagram of a prior art rectifier circuit;
FIG. 3 is a schematic diagram of an automatic regulation second harmonic feedback wireless power transfer system in accordance with the present invention;
fig. 4 shows the relationship between the rectifying efficiency and the input power of the rectifier of the present invention.
Detailed Description
The working principle of the present invention will be further described with reference to examples.
Fig. 2 is a schematic diagram of a conventional rectifier circuit, including a matching circuit (L m 、C m ) Schottky diode (D) 0 ) Filter capacitor (C) L ) Load resistor (R) L ) The method comprises the steps of carrying out a first treatment on the surface of the Schottky diode (D) 0 ) High rectifying efficiency can be achieved as a rectifier key device. When the rectifier receives the fundamental frequency power (P ωo ) Corresponding fundamental frequency signal (V ωo ) Amplitude exceeds schottky diode (D 0 ) Open-circuit voltage (V) th ) At time D 0 Generating a DC voltage (V) 0 ) And pass through a filter capacitor (C L ) Output is provided in a load resistor (R L ) And (3) an end. With the fundamental frequency signal (V ωo ) Corresponding fundamental frequency power (P ωo ) The rectifier generates direct currentVoltage (V) 0 ) The rectifier efficiency increases when the fundamental frequency signal (V ωo ) Voltage amplitude exceeding Schottky diode (D) 0 ) Cut-off voltage (V) br ) V at the time of 0 Will not increase any more, the rectifying efficiency will be abrupt and will increase with the fundamental frequency power (P ωo ) Increasing and decreasing. Typically, the rectifier radio frequency to direct current power conversion efficiency (η) is a function of the fundamental frequency power (P ωo ) The variation curve is shown in FIG. 4, the on voltage (V th ) Contributing to the optimum fundamental frequency input power (P ωo_optimal ) An increase in anterior η; optimum fundamental frequency input power (P ωo_optimal ) Corresponding to the maximum rectification efficiency (eta) max ) The method comprises the steps of carrying out a first treatment on the surface of the Cut-off voltage (V) br ) Contributing to the optimum fundamental frequency input power (P ωo_optimal ) The reduction of η thereafter. Thus, the power is input at the optimum fundamental frequency (P ωo_optimal ) When the efficiency (eta) is suddenly changed as shown in the formula (1), namely, the corresponding load resistance (R L ) End dc voltage (V) 0 ) Is cut-off voltage (V) br ) The limit is not increased any more.
Meanwhile, schottky diode (D 0 ) The nonlinear characteristic can be obtained by a corresponding fundamental frequency signal (V ωo =V s cosω 0 t,ω 0 Is the fundamental frequency) taylor series expansion as follows
V o =x 0 +x 1 V s cosω 0 t+x 2 V s 2 cos 2 ω 0 t+… (2)
Wherein x is 0 、x 1 、x 2 Expanding coefficients, x, for a Taylor series 2 V 2 s cos 2 ω 0 the main contribution of t is the direct voltage (V) in the formula (1) 0 ). At the same time x 2 V 2 s cos 2 ω 0 t also contributes mainly to the second harmonic frequency signal (V 2ωo ) Generates, through the filter capacitor (C L ) Is reflected to the dual-band antenna B,realizing the second harmonic frequency signal (V) 2ωo ) Feedback, as shown in FIG. 2 (V 2ωo Corresponding to blue arrows). Second harmonic frequency signal (V) 2ωo ) And the rectification efficiency (eta) and the direct-current voltage (V) of the formula (1) 0 ) With the fundamental frequency power (P ωo ) With the same variation relationship. Select reference voltage V REF =V br /2,V br And/2 is the optimum input power (P ωo_optimal ) Rectification efficiency (eta) max ) Lower load resistor (R) L ) Output voltage V 0 ]The second harmonic feedback can be automatically regulated and controlled under the receiving power of different rectifiers. Thus, under varying conditions of distance (d) between different transmitting and receiving antennas, the controller scans the DC bias (V dc ) Changing the power source output fundamental frequency power (P ωo ) The dual band antenna A, B is excited and the rectifier is energized when the dual band antenna B no longer receives the second harmonic frequency signal (V 2ωo ) When the optimum input power (P ωo_optimal ) Rectification efficiency (eta) max ) And the wireless power transmission system with automatic regulation and control of the second harmonic feedback is realized.
The invention provides a wireless power transmission system with an automatic regulation and control second harmonic feedback function, which comprises a transmitting end and a receiving end, wherein the transmitting end comprises a power source, a circulator, a first dual-band antenna and a controller, and the receiving end comprises a second dual-band antenna, a rectifier and an automatic regulation and control second harmonic feedback circuit; the rectifier comprises a matching circuit, a Schottky diode, a filter capacitor and a load resistor; the automatic regulation and control second harmonic feedback circuit comprises a voltage comparator, a reference voltage, a transistor, a switch and a quarter-wavelength short circuit branch. The rectifier output voltage increases as the power source increases, when the output voltage is greater than V REF When the voltage comparator controls the PMOS source and drain to be conducted, the single-pole single-throw switch is turned on, the lambda/4 short-circuit branch is short-circuited to the second harmonic, and the first dual-band antenna does not receive the second harmonic of the rectifier. Compared with the prior art, the invention has the beneficial effects that the voltage Comparator (COMP), the PMOS, the SPST and the quarter-wavelength short circuit branch are adopted to automatically regulate and control the second harmonic feedback, thereby being beneficial to realizing a compact, high-efficiency and distance self-adaptive wireless power transmission systemAnd (5) unifying.
The embodiments of the invention described above are combinations of elements and features of the invention. Unless otherwise mentioned, the elements or features may be considered optional. Each element or feature may be practiced without combining with other elements or features. In addition, embodiments of the invention may be constructed by combining some of the elements and/or features. The order of operations described in embodiments of the invention may be rearranged. Some configurations of any embodiment may be included in another embodiment and may be replaced with corresponding configurations of another embodiment. It will be obvious to those skilled in the art that claims which are not explicitly cited in each other in the appended claims may be combined into embodiments of the present invention or may be included as new claims in a modification after submitting the present invention.
In a firmware or software configuration, embodiments of the present invention may be implemented in the form of modules, procedures, functions, and so on. The software codes may be stored in memory units and executed by processors. The memory unit may be located inside or outside the processor and may send and receive data to and from the processor via various known means.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (8)
1. The system is characterized by comprising a transmitting end and a receiving end;
the transmitting end consists of a power source, a circulator, a dual-band antenna A and a controller; the port 1 of the circulator is connected with the output end of the power source, the port 2 is connected with the dual-band antenna A, and the port 3 is connected with the antenna A; the controller is respectively connected with the circulator port 3 and the power source bias port; the output end of the power source is connected with the port 1 of the circulator, and the offset port is connected with the controller;
the receiving end consists of a dual-band antenna B, a rectifier and an automatic regulation and control second harmonic feedback circuit; the rectifier is formed by matching circuit inductance L m Capacitance C m Schottky diode (D) 0 ) Filter capacitor (C) L ) Load resistor (R) L ) Constructing; capacitor C in rectifier matching circuit m One end is connected with the dual-band antenna B and the other end is connected with the inductor L m Schottky diode (D) 0 ) A positive electrode; inductance L in rectifier matching circuit m One end is grounded, and the other end is connected with a capacitor C m Schottky diode (D) 0 ) A positive electrode; the rectifier schottky diode (D 0 ) The positive electrode is connected with the matching circuit, and the negative electrode is connected with the filter capacitor (C L ) Load resistor (R) L );
The negative input end of a voltage Comparator (COMP) of the automatic regulation and control second harmonic feedback circuit is connected with a load resistor (R) L ) An output end, a positive electrode input end of the voltage Comparator (COMP) is connected with a reference voltage (V) REF ) The positive electrode, the output end of the voltage Comparator (COMP) is connected with the grid electrode of the PMOS transistor.
2. A wireless power transfer system with an automatic regulation second harmonic feedback as claimed in claim 1 wherein the automatic regulation second harmonic feedback is controlled by a voltage Comparator (COMP), a reference voltage (V REF ) The circuit comprises a P-type metal oxide PMOS transistor, a normally-off single-pole single-throw switch and a quarter-wavelength short circuit branch.
3. A wireless power transfer system with automatic regulation and control of second harmonic feedback according to claim 1, characterized in that the filter capacitor (C L ) One end is grounded, and the other end is connected with a load resistor (R L ) Schottky diode (D) 0 ) A negative electrode; the load resistance (R L ) One end is grounded, the other end is connected with a filter capacitor (C L ) Schottky diode (D) 0 ) And a negative electrode.
4. A wireless power transfer system with automatic regulation and control second harmonic feedback according to claim 1, characterized in that the reference voltage (V REF ) The positive electrode is connected with the positive electrode input end of the voltage Comparator (COMP), and the reference voltage (V REF ) The negative electrode is grounded; the gate of the P-type metal oxide PMOS transistor is connected with the output end of the voltage Comparator (COMP), and the drain of the PMOS transistor is connected with the load resistor (R L ) The source electrode of the PMOS transistor is connected with the bias end of the normally-off single-pole single-throw switch; the normally-off single-pole single-throw switch bias is connected with the source electrode of the PMOS transistor, the radio frequency input end of the normally-off single-pole single-throw switch is connected with the connecting part of the matching circuit, and the radio frequency output end of the normally-off single-pole single-throw switch is connected with the quarter-wavelength short circuit branch; one end of the quarter-wavelength short-circuit branch is connected with the output end of the normally-closed single-pole single-throw switch, and the other end of the quarter-wavelength short-circuit branch is grounded.
5. A wireless power transfer system with automatic regulation and control of second harmonic feedback according to claim 1 wherein the dc bias voltage (V dc ) Outputs fundamental frequency signal (V) ωo ) Fundamental frequency power (P) ωo ) Rectifier outputs a DC voltage (V o ) Second harmonic frequency power (P) 2ωo ) With a one-to-one monotonically increasing correlation.
6. A wireless power transfer system with automatic regulation and control second harmonic feedback according to claim 1, characterized in that the control bias voltage (V dc ) Realizing the output of fundamental frequency power (P) by a power source ωo ) Rectifier outputs a DC voltage (V o ) Second harmonic frequency power (P) 2ωo ) Is controlled by a controller.
7. A wireless power transfer system with automatic regulation and control second harmonic feedback as claimed in claim 6 wherein when the dc voltage (V o ) Less than the reference voltage (V REF ) When the PMOS transistor is turned off, the voltage Comparator (COMP) controls the source and drain of the PMOS transistor to be turned offThe normally-closed single-pole single-throw switch is closed, and the quarter-wavelength short-circuit branch is opened to act on the matching circuit inductance L m Capacitance C m At the junction, second harmonic frequency power (P 2ωo ) The dual band antenna a is fed back through the dual band antenna B and transmits a second harmonic frequency signal (V 2ωo ) To the controller, the controller increments the DC bias voltage (V dc );
When the DC voltage (V o ) Greater than/equal to the reference voltage (V REF ) When the voltage Comparator (COMP) controls the PMOS transistor source and drain to be conducted, the DC voltage (V) o ) Directly acts on the bias end of the normally-closed single-pole single-throw switch, the normally-closed single-pole single-throw switch is opened, and a quarter-wavelength short circuit branch is connected with the matching circuit inductance L m Capacitance C m The intersection point is short-circuited by the quarter-wavelength branch to the second harmonic frequency signal (V 2ωo ) Short-circuit reflection, which is reflected on the fundamental frequency signal (V ωo ) Open circuit effect, second harmonic frequency signal (V 2ωo ) Is suppressed and re-enters the schottky diode (D 0 ) The dual band antenna a no longer receives the second harmonic frequency signal (V 2ωo ) Feedback, the controller maintains the DC bias voltage (V dc ) The second harmonic feedback wireless power transmission is automatically regulated and controlled.
8. A transmission method based on any one of claims 1-7 having an automatically regulated second harmonic feedback wireless power transmission system, the method comprising:
step 1): the controller initializes DC bias voltage, the power source outputs fundamental frequency signals, and the corresponding fundamental frequency power is transmitted to the first dual-band antenna through the circulator;
step 2): the second dual-band antenna receives the fundamental wave frequency signal, and the excitation rectifier generates direct current voltage and a second harmonic frequency signal; the direct-current voltage is transmitted to a load resistor end through a filter capacitor; the direct current voltage is transmitted to the negative electrode input end of the voltage comparator; because the quarter-wavelength short circuit branch is opened and acts on the connection part of the matching circuit, the second harmonic frequency power is reflected to the second dual-band antenna through the filter capacitor, and the second harmonic frequency power feedback is realized; the first dual-band antenna receives second harmonic frequency power feedback and transmits the feedback to the controller through the circulator;
step 3): and linearly scanning the DC bias voltage for n times, wherein n is greater than or equal to 1, and when the controller does not capture the second harmonic frequency power any more, the controller maintains the DC bias voltage, so that the automatic regulation and control of the second harmonic feedback wireless power transmission is realized, and the optimal input power and the optimal rectifying efficiency of the rectifier are maintained.
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