CN114094718A - Time-sharing multiplexing wireless energy transmission system - Google Patents

Time-sharing multiplexing wireless energy transmission system Download PDF

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Publication number
CN114094718A
CN114094718A CN202111371133.6A CN202111371133A CN114094718A CN 114094718 A CN114094718 A CN 114094718A CN 202111371133 A CN202111371133 A CN 202111371133A CN 114094718 A CN114094718 A CN 114094718A
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CN
China
Prior art keywords
wireless energy
energy transmission
resonant coil
time
transmitting
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Pending
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CN202111371133.6A
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Chinese (zh)
Inventor
李云辉
祝可嘉
江俊
卢杰
刘毅
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Shanghai Capelin Intelligent Technology Co ltd
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Shanghai Capelin Intelligent Technology Co ltd
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Priority to CN202111371133.6A priority Critical patent/CN114094718A/en
Publication of CN114094718A publication Critical patent/CN114094718A/en
Pending legal-status Critical Current

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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/10Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • H02J50/12Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/40Circuit arrangements or systems for wireless supply or distribution of electric power using two or more transmitting or receiving devices
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/70Circuit arrangements or systems for wireless supply or distribution of electric power involving the reduction of electric, magnetic or electromagnetic leakage fields
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J50/00Circuit arrangements or systems for wireless supply or distribution of electric power
    • H02J50/80Circuit 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

Abstract

The invention provides a time-sharing multiplexing wireless energy transmission system which comprises a power supply, a voltage reduction circuit, an MCU (micro control unit), a driving circuit and a plurality of DC-AC (direct current-alternating current) inverter circuits connected in parallel, wherein the power supply, the voltage reduction circuit, the MCU, the driving circuit and the DC-AC inverter circuits are sequentially connected, and each DC-AC inverter circuit is respectively connected with a wireless energy transmission module and equipment. The MCU micro control unit controls the driving circuit to control all the inverter circuits in a time-sharing mode according to the level of the input signal of the power supply, and the wireless energy transmission module and the wireless energy transmission equipment which are connected with the inverter circuits, so that time-sharing multiplexing of the wireless energy transmission system is achieved. Compared with the prior art, the wireless energy transmission system has the power and communication functions, can realize that the same signal loads a plurality of pairs of coils at the same time, and one signal loads communication information of a plurality of pairs of energy transmission coils at the same time, and can effectively improve the efficiency and the utilization rate of the wireless energy transmission system.

Description

Time-sharing multiplexing wireless energy transmission system
Technical Field
The invention relates to the technical field of wireless energy transmission, in particular to a time-sharing multiplexing wireless energy transmission system.
Background
The general trend in electronics has shown that wireless charging is widely adopted in consumer electronics devices due to the benefits of the convenience provided by wireless charging systems. With the increase of market demand, the demand for developing breakthrough charging technologies such as wireless charging and the like is increasing day by day. Meanwhile, with diversification of application scenes, the traditional contact type charging scheme is difficult to meet the charging requirements of more and more kinds of electronic products. Traditional contact technical requirement has higher counterpoint precision when charging to all be difficult to compatible to humidity, corrosive environment and hazardous gas environment, along with all kinds of product demands that charge power that charge constantly increases in addition, charging current constantly rises, and huge potential safety hazard will also be introduced in the contact striking sparks. Wireless charging technology is becoming mature nowadays and is being applied in more and more occasions, and is changing people's life and mode of production constantly. For various electronic product charging scenes, the wireless charging technology can provide a large degree of freedom, a fully-sealed charging process and a safe and controllable magnetic field environment, and the problems are well solved.
Several mainstream wireless charging standards appear in the development of wireless power transmission systems, wherein an initial wireless charging scheme directly generates alternating electric field coupling induction through a coil, namely, the Qi standard of the wireless charging alliance WPC belongs, and Qi adopts the most mainstream electromagnetic induction technology. The Qi wireless charging technology is the leading charging technology at present, but the disadvantages thereof are also quite prominent:
(1) each receiver must have a corresponding transmitter;
(2) in order to work properly and maximize power transfer, the allowed transfer distance between the two coils is very close (no more than 10 mm);
(3) the receiver must be located at a particular position relative to the transmitter.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a time-sharing multiplexing wireless energy transmission system, which has the functions of power and communication, can realize that a plurality of pairs of coils are loaded by the same signal at the same time, one signal loads the communication information of a plurality of pairs of energy transmission coils at the same time, and can effectively improve the efficiency and the utilization rate of the wireless energy transmission system.
The purpose of the invention can be realized by the following technical scheme:
the invention provides a time-sharing multiplexing wireless energy transmission system, which comprises a power supply, a voltage reduction circuit, an MCU (micro control unit), a driving circuit and a plurality of DC-AC (direct current-alternating current) inverter circuits which are connected in parallel, wherein each DC-AC inverter circuit is respectively connected with a wireless energy transmission module and equipment;
the MCU micro control unit controls the driving circuit to control all the DC-AC inverter circuits in a time-sharing mode according to the level of the input signal of the power supply, and the wireless energy transmission module and the wireless energy transmission equipment which are connected with the DC-AC inverter circuits, so that time-sharing multiplexing of the wireless energy transmission system is achieved.
Preferably, each wireless energy transmission module comprises a transmitting end non-resonant coil, a transmitting end resonant coil and a receiving end resonant coil which are sequentially arranged, one end of the transmitting end non-resonant coil is connected with a DC-AC inverter circuit, the other end of the transmitting end non-resonant coil is coupled with the transmitting end resonant coil, and the transmitting end resonant coil and the receiving end resonant coil resonate to realize wireless energy transmission.
Preferably, the transmitting-end non-resonant coil comprises a first output terminal, a first input terminal and a first winding part connected between the first output terminal and the first input terminal, and the first winding part is formed by winding 3 turns of 0.1 × 40 litz wire to form a double-layer circular coil.
Preferably, the outer diameter of the transmitting end non-resonant coil is 40mm in size.
Preferably, the transmitting-end resonant coil includes a second output terminal, a second input terminal, and a second winding portion connected between the second output terminal and the second input terminal, and the second winding portion is formed by winding 10 turns of 0.1 × 40 litz wire to form a double-layer circular coil.
Preferably, the outer diameter of the transmitting-end resonance coil is 50mm in size.
Preferably, the receiving end resonance coil and the transmitting end resonance coil have the same structure.
Preferably, the transmitting end non-resonant coil, the transmitting end resonant coil and the receiving end resonant coil are provided with ferrites for shielding a magnetic field to prevent metal around the heating coil.
Preferably, the ferrite has an outer diameter and an inner diameter of 55mm and 10mm, respectively.
Preferably, the signal input into the wireless energy transmission system is 24V direct current, and the signal output from the wireless energy transmission module is 5V, 2A direct current.
Compared with the prior art, the invention has the following beneficial effects:
1. according to the invention, the MCU is used for controlling the driving circuit to respectively control the plurality of inverter circuits in the DC-AC inverter circuit group in a time-sharing manner according to the waveform of the input low-voltage signal, so that the DC-AC inverter circuits controlled by the driving circuit and the wireless energy transmission module realize wireless energy transmission, and further, a signal is simultaneously loaded with communication information of a plurality of pairs of energy transmission coils, and the defects of a one-to-one system and a one-to-one communication mode of the Qi standard are overcome; the circuit utilization rate of the wireless power transmission system is greatly improved, and time-sharing multiplexing of the wireless power transmission system is realized.
2. According to the invention, the wireless energy transmission module is arranged, namely the transmitting end non-resonant coil, the transmitting end resonant coil and the receiving end resonant coil are sequentially arranged, so that the transmitting end non-resonant coil connected with the DC-AC inverter circuit is coupled with the transmitting end resonant coil through a magnetic field, and then the transmitting end resonant coil and the receiving end resonant coil resonate to realize wireless energy transmission, and meanwhile, the wireless energy transmission module has power and communication functions and does not need Bluetooth.
3. The invention carries out wireless energy transfer through coil resonance, has a longer transmission distance than Qi, and does not need to be over-specified in the positions of receiving and transmitting ends.
4. The ferrite is arranged on the transmitting end non-resonant coil, the transmitting end resonant coil and the receiving end resonant coil, so that the magnetic field can be shielded to prevent metal around the heating coil.
Drawings
Fig. 1 is a schematic structural diagram of a time-division multiplexing wireless energy transmission system according to the present embodiment;
FIG. 2 is a waveform diagram of an input signal of the embodiment shown in FIG. 1;
FIG. 3 is t for the embodiment of FIG. 21A waveform schematic of an input signal within a time instant;
FIG. 4 shows t for the embodiment of FIG. 22A waveform schematic of an input signal within a time instant;
FIG. 5 shows t for the embodiment of FIG. 23A waveform schematic of an input signal within a time instant;
FIG. 6 shows t for the embodiment of FIG. 24A waveform schematic of an input signal within a time instant;
FIG. 7 is a schematic diagram of a system power waveform of the embodiment shown in FIG. 1;
FIG. 8 is t for the embodiment of FIG. 71A schematic diagram of a system power waveform within a time;
FIG. 9 shows t for the embodiment of FIG. 72A schematic diagram of a system power waveform within a time;
FIG. 10 is t for the embodiment of FIG. 73A schematic diagram of a system power waveform within a time;
FIG. 11 shows t for the embodiment of FIG. 74A schematic diagram of a system power waveform within a time;
fig. 12 is a schematic structural diagram of a wireless energy transmission module of the embodiment shown in fig. 1;
FIG. 13 is a schematic diagram of a connection of the transmitter circuit of the embodiment shown in FIG. 1;
fig. 14 is a schematic diagram illustrating a connection between the receiving-end circuit and the receiving-end resonant coil in the embodiment shown in fig. 1;
labeled as: l1, a transmitting end non-resonant coil, L2, a transmitting end resonant coil, L3 and a receiving end resonant coil.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
Referring to fig. 1, the present embodiment provides a time-division multiplexing wireless energy transmission system, which includes a power supply, a voltage-reducing circuit, an MCU micro control unit, a driving circuit, and a plurality of DC-AC inverter circuits connected in parallel, where each DC-AC inverter circuit is connected to a wireless energy transmission module and a device, respectively. The voltage reduction circuit adopts a DC-DC voltage reduction circuit and is used for converting an input high-voltage signal into a low-voltage signal; the MCU micro control unit is used for controlling the driving circuit to control the plurality of DC-AC inverter circuits in a time-sharing mode according to the high and low levels of the input low-voltage signals.
As an alternative implementation, the present embodiment employs four DC-AC inverter circuits and four wireless energy transmission modules.
Referring to fig. 12, each wireless energy transfer module includes a transmitting-end non-resonant coil L1, a transmitting-end resonant coil L2, and a receiving-end resonant coil L3, which are sequentially arranged. One end of each transmitting end non-resonant coil L1 is connected with a DC-AC inverter circuit, and the other end of each transmitting end non-resonant coil L1 is coupled with the transmitting end resonant coil L2. The transmitting-side resonance coil L2 and the receiving-side resonance coil L3 resonate to achieve transmission of wireless energy. Referring to fig. 13, four transmitting-end resonance coils L2 are connected to each other through a transmitting-end circuit board. Referring to fig. 14, a schematic diagram of a connection between the receiving-end circuit and a receiving-end resonant coil L3 is shown, the receiving-end circuit board is connected to the receiving-end resonant coil, the receiving-end resonant coil L3 realizes the reception of wireless energy through resonance with the transmitting-end resonant coil L2, and then the received electrical energy is output as 5V, 2A electrical energy for the device after passing through the receiving-end circuit.
The transmitting end non-resonant coil L1 comprises a first output terminal, a first input terminal and a first winding part connected between the first output terminal and the first input terminal, the first winding part is formed by winding 3 turns of 0.1 x 40 strands of litz wire to form a double-layer circular coil, and the outer diameter of the transmitting end non-resonant coil L1 is 40 mm. The transmitting end resonant coil L2 includes a second output terminal, a second input terminal, and a second winding portion connected between the second output terminal and the second input terminal, the second winding portion is formed by winding 10 turns of 0.1 × 40 litz wire to form a double-layer circular coil, and the outer diameter of the transmitting end resonant coil L2 is 50 mm. The receiving-end resonance coil L3 has the same structure as the transmitting-end resonance coil L2. The transmitting end non-resonant coil L1, the transmitting end resonant coil L2 and the receiving end resonant coil L3 are all provided with ferrites for shielding a magnetic field and preventing metal around the heating coil, the ferrites are hollow and circular, and the outer diameter and the inner diameter of each ferrite are 55mm and 10mm respectively. The size of the transmitting-end circuit board is 100mm x 100mm, and the size of the receiving-end circuit board is 30mm x 30 mm.
Specifically, the signal input to the wireless energy transmission module is 24V direct current, and the output signal is 5V and 2A electric energy for equipment to use.
The working principle of the time-division multiplexing wireless energy transmission system provided by the embodiment is as follows:
the input power supply is a 24V direct-current high-voltage electric signal, the direct-current high-voltage electric signal sequentially passes through the DC-DC voltage reduction circuit and the MCU micro control unit to control the input driving circuit, the DC-DC voltage reduction circuit converts the direct-current high-voltage electric signal into a direct-current low-voltage electric signal, and the MCU micro control unit controls the driving time-sharing to respectively control the four inverter circuits and the wireless energy transmission module connected with the four inverter circuits according to the high and low levels of the input direct-current low-voltage electric signal. Referring to fig. 2 to 6, fig. 2 is a schematic diagram of a waveform of a signal input to a wireless energy transmission system, when a level of the signal is as shown in fig. 3, a driving circuit controls a first wireless energy transmission module connected to a first DC-AC inverter circuit to receive the waveform in a time period t1 and perform partial wireless energy transmission; when the level of the signal is as shown in fig. 4, the driving circuit controls a second wireless energy transmission module connected with a second DC-AC inverter circuit to receive the waveform in a time period t2 and perform partial wireless energy transmission; when the level of the signal is as shown in fig. 5, the driving circuit controls a third wireless energy transmission module connected with a third DC-AC inverter circuit to receive the waveform in a time period t3 and perform partial wireless energy transmission; when the level of the signal is as shown in fig. 6, the driving circuit controls a fourth wireless energy transmission module connected with a fourth DC-AC inverter circuit to receive the waveform in a time period t4 and perform partial wireless energy transmission; thereby realizing the time-sharing multiplexing function of the invention. Wherein the frequency range of the signal is 1-100 kHz.
As an alternative implementation, the present embodiment uses a signal frequency of 10 kHz.
Referring to fig. 7, which is a schematic diagram of waveform signals of the system power of the embodiment, when the level of the input signal is 1, the level of the power signal is also 1, and when the level of the input signal is 0, the level of the power signal is also 0; and the frequency of the power signal is always kept consistent regardless of whether the level of the input signal is 0 or 1. Referring to fig. 8 in conjunction with fig. 3, a power signal waveform of the first wireless energy transmission module is shown; referring to fig. 9 in combination with fig. 4, a power signal waveform of the second wireless energy transmission module, referring to fig. 10 in combination with fig. 5, a power signal waveform of the third wireless energy transmission module, referring to fig. 11 in combination with fig. 6, a power signal of the fourth wireless energy transmission module. The input signals are respectively controlled by the four DC-AC inverter circuits in a time-sharing mode through the driving circuit and then input into the transmitting end non-resonant coil, the transmitting end non-resonant coil is coupled with the transmitting end resonant coil through the magnetic field, and then the transmitting end resonant coil and the receiving end resonant coil resonate to achieve transmission of wireless energy. Wherein the frequency range of the power signal is 110-205 KHz.
As an alternative embodiment, the frequency of the power signal used in this embodiment is 183 KHz.
The wireless energy transmission system for time division multiplexing controls the driving circuit to respectively control the plurality of inverter circuits in the DC-AC inverter circuit group in a time division manner through the MCU according to the waveform of the input low-voltage signal, so that the DC-AC inverter circuits controlled by the driving circuit and the wireless energy transmission module realize wireless energy transmission, further realize that one signal is simultaneously loaded with communication information of a plurality of pairs of energy transmission coils, and overcome the defects of a one-to-one system and a one-to-one communication mode of the Qi standard; the circuit utilization rate of the wireless power transmission system is greatly improved, and time-sharing multiplexing of the wireless power transmission system is realized. And through setting up wireless energy transmission module, the non-resonant coil of transmitting terminal, transmitting terminal resonance coil and the receiving terminal resonance coil that set gradually promptly for the non-resonant coil of transmitting terminal and the transmitting terminal resonance coil that are connected with DC-AC inverter circuit pass through magnetic field coupling, and transmitting terminal resonance coil and receiving terminal resonance coil resonance realize the transmission of wireless energy afterwards, possess power and communication function simultaneously, no longer need the bluetooth.
The foregoing detailed description of the preferred embodiments of the invention has been presented. It should be understood that numerous modifications and variations could be devised by those skilled in the art in light of the present teachings without departing from the inventive concepts. Therefore, the technical solutions available to those skilled in the art through logic analysis, reasoning and limited experiments based on the prior art according to the concept of the present invention should be within the scope of protection defined by the claims.

Claims (10)

1. A time-sharing multiplexing wireless energy transmission system is characterized by comprising a power supply, a voltage reduction circuit, an MCU (micro control unit), a driving circuit and a plurality of DC-AC (direct current-alternating current) inverter circuits which are connected in parallel, wherein each DC-AC inverter circuit is connected with a wireless energy transmission module and equipment;
the MCU micro control unit controls the driving circuit to control all the DC-AC inverter circuits in a time-sharing mode according to the level of the input signal of the power supply, and the wireless energy transmission module and the wireless energy transmission equipment which are connected with the DC-AC inverter circuits, so that time-sharing multiplexing of the wireless energy transmission system is achieved.
2. The time-division multiplexing wireless energy transmission system according to claim 1, wherein each wireless energy transmission module comprises a transmitting-end non-resonant coil (L1), a transmitting-end resonant coil (L2) and a receiving-end resonant coil (L3), which are sequentially arranged, one end of the transmitting-end non-resonant coil (L1) is connected with a DC-AC inverter circuit, the other end of the transmitting-end non-resonant coil (L1) is coupled with the transmitting-end resonant coil (L2), and the transmitting-end resonant coil (L2) resonates with the receiving-end resonant coil (L3) to realize wireless energy transmission.
3. The time-division multiplexing wireless energy transfer system according to claim 2, wherein the transmitting-end non-resonant coil (L1) comprises a first output terminal, a first input terminal, and a first winding portion connected between the first output terminal and the first input terminal, wherein the first winding portion is formed by winding 3 turns of 0.1 x 40 litz wire to form a double-layer circular coil.
4. A time multiplexed wireless energy transfer system according to claim 3 wherein the transmitting end non-resonant coil (L1) has an outer diameter dimension of 40 mm.
5. The time-division multiplexing wireless energy transmission system according to claim 2, wherein the transmitting end resonant coil (L2) comprises a second output terminal, a second input terminal, and a second winding portion connected between the second output terminal and the second input terminal, and the second winding portion is formed by winding 10 turns of 0.1 x 40 litz wire to form a double-layer circular coil.
6. A time multiplexed wireless energy transfer system according to claim 5 wherein the transmitting end resonant coil (L2) has an outer diameter dimension of 50 mm.
7. A time multiplexed wireless energy transfer system according to claim 6, characterized in that the receiving end resonance coil (L3) and the transmitting end resonance coil (L2) are identical in structure.
8. A time multiplexed wireless energy transfer system according to claim 2, wherein the transmitting side non-resonant coil (L1), the transmitting side resonant coil (L2) and the receiving side resonant coil (L3) are each provided with ferrite to shield the magnetic field from heating the metal around the coil.
9. The time division multiplexing wireless energy transfer system of claim 8, wherein the ferrite has an outer diameter and an inner diameter of 55mm and 10mm, respectively.
10. The time-division multiplexing wireless energy transmission system according to claim 1, wherein the signal input into the wireless energy transmission system is 24V dc, and the signal output from the wireless energy transmission module is 5V 2A dc.
CN202111371133.6A 2021-11-18 2021-11-18 Time-sharing multiplexing wireless energy transmission system Pending CN114094718A (en)

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Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108390467A (en) * 2015-07-17 2018-08-10 南京矽力杰半导体技术有限公司 Driving circuit, radio energy transmitting terminal and apply its wireless power supply system
CN109728654A (en) * 2018-09-29 2019-05-07 深圳市华禹无线供电技术有限公司 Three-winding structure wireless electric energy Transmission system
CN110518710A (en) * 2019-09-04 2019-11-29 南京邮电大学 Tunable three-winding device for long range wireless power transmission
CN110994751A (en) * 2019-11-19 2020-04-10 歌尔股份有限公司 Vehicle-mounted charging circuit, module, automobile and vehicle-mounted charging system
CN112040594A (en) * 2020-09-25 2020-12-04 深圳市英可瑞直流技术有限公司 Direct current supply illumination module of adjusting luminance
KR20210073684A (en) * 2019-12-10 2021-06-21 충북대학교 산학협력단 Wireless power transfer system with multiple power receivers

Patent Citations (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108390467A (en) * 2015-07-17 2018-08-10 南京矽力杰半导体技术有限公司 Driving circuit, radio energy transmitting terminal and apply its wireless power supply system
CN109728654A (en) * 2018-09-29 2019-05-07 深圳市华禹无线供电技术有限公司 Three-winding structure wireless electric energy Transmission system
CN110518710A (en) * 2019-09-04 2019-11-29 南京邮电大学 Tunable three-winding device for long range wireless power transmission
CN110994751A (en) * 2019-11-19 2020-04-10 歌尔股份有限公司 Vehicle-mounted charging circuit, module, automobile and vehicle-mounted charging system
KR20210073684A (en) * 2019-12-10 2021-06-21 충북대학교 산학협력단 Wireless power transfer system with multiple power receivers
CN112040594A (en) * 2020-09-25 2020-12-04 深圳市英可瑞直流技术有限公司 Direct current supply illumination module of adjusting luminance

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