CN108183561B - Pipeline wireless energy collection method based on time reversal - Google Patents
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Abstract
A time reversal-based pipeline wireless energy collection method. The device used in the method comprises a power supply, a signal generating circuit, exciting piezoelectric ceramics, a metal pipeline, receiving piezoelectric ceramics, an energy recovery circuit and an energy storage element; the invention has the following effects: the ultrasonic guided waves in the metal pipeline are used as energy carriers, energy transmission can be carried out in a wireless mode, and the sensors on the metal pipeline are powered, so that the wiring and maintenance cost of a traditional sensor system is reduced, and the stability of the system is improved; the piezoelectric ceramic is used as a main component, so that the energy conversion efficiency is high, the volume is small, and the cost is low; the form of the transmitted signal is determined by a time reversal method, energy dispersion caused by frequency dispersion is compensated, excited energy can be simultaneously focused in a metal pipeline, and the transmission efficiency of the system is higher.
Description
Technical Field
The invention belongs to the technical field of ultrasonic wireless energy collection, and particularly relates to a time reversal-based pipeline wireless energy collection method.
Background
Since the nineteenth century, petroleum and natural gas have been important energy resources and important strategic resources for economic development of countries in the world, and the demand and consumption of petroleum and natural gas have been on the high-speed growth trend. China has abundant reserves of oil and natural gas, and most of land adopts a pipeline transportation mode to transport the oil and the natural gas except for offshore transportation at the time of import because the oil and the natural gas have extremely large demand and have special requirements such as safety and the like. The pipeline transportation has the advantages of large transportation amount, high safety performance, uninterrupted operation, easy realization of automatic management and the like, so the pipeline transportation is very suitable for the transportation of petroleum and natural gas. The pipeline transportation is an important component of a comprehensive transportation system in China, the current petroleum and natural gas pipeline pattern in China is formed preliminarily, and the total length exceeds 10 kilometers.
As the use of pipelines to transport oil and gas increases, some of the risks of transportation are also gradually emerging due to the particular dangers of oil and gas. For example, in 11 months in 2013, petroleum oil pipelines in the yellow island region of Qingdao city in Shandong province are broken, so that a large area of a pavement is polluted by crude oil, part of the crude oil enters a Jiaozhou bay, and casualties are caused. The reasons for pipeline leakage are complex, on one hand, the pipeline can be the defect of the pipeline, and the pipeline can be problematic because the pipeline production technology in China is not too closed in the early years and the environment for laying the pipeline is generally severe. On the other hand, the pipeline is affected by human factors, and after the pipeline is laid, the pipeline management has a great problem due to the long length and long laying time of the pipeline. In addition, site hydropower, heating power, roads, communication optical cables and the like are randomly laid, and illegal buildings are randomly constructed, which threatens the safety of pipelines. And lawless persons directly destroy pipelines aiming at management loopholes, and intend to obtain high profits.
Therefore, the leakage detection and the safety state monitoring of the pipeline are very important. The current common methods include a model analysis method, an optical fiber detection method, an acoustic negative pressure wave method and the like. However, no matter which method is adopted, a sensing system needs to be arranged on a pipeline, information related to the health condition of the structure is acquired on line in real time by utilizing the sensing system integrated or attached to the structure, and characteristic parameters are extracted by combining a signal information processing method, so that the health diagnosis and the leakage safety detection of the pipeline are realized. A complete sensing system requires power and data lines, which not only requires expensive installation and maintenance of communication power supply cables, but also limits the overall system stability and robustness due to the fact that the pipelines are over kilometers.
The wireless sensor technology developed in the later stage preliminarily solves the problems, and although the wireless communication technology is mature at present, the power supply problem becomes a bottleneck restricting the technical development. The current use of more sophisticated power supply schemes to power conventional batteries has the disadvantages of higher cost, larger battery size and the need for periodic replacement, and the lifetime of the sensor is limited by the limited amount of power. Furthermore, because the pipes are mostly buried in underground and field environments, battery replacement is also quite difficult.
Recently, a method for supplementing energy by using environmental protection energy such as solar energy is developed, and the method is difficult to be applied in practice because most of pipelines are laid underground, solar energy equipment needs to be arranged on the ground, and is difficult to be arranged in some areas, and the maintenance cost is high. Meanwhile, the method for collecting environmental energy is unstable, and in some areas, there may be long-term rainy days, and once the sensor loses power, the data and connection may be lost, thereby affecting the overall system.
At present, in the application of short-distance energy transmission of metal sheet materials, there is also a method for wireless energy collection by using piezoelectric ceramics, which uses piezoelectric ceramics to excite ultrasonic waves and propagate in the materials in the form of guided waves, and uses piezoelectric ceramics to collect energy at another place. This method is less applicable in pipelines because the propagation of stress waves in a cylindrical structure will produce a multi-modal dispersion effect, will be divided into transverse, longitudinal and bending waves to propagate, each group having a unique wave pattern, each wave having a different velocity, which will disperse the energy and thus make it difficult to recover it.
No matter which principle is used for monitoring the pipeline safety, the development of the pipeline safety monitoring method is limited by the problems, so that the overall system is short in maintenance period, high in maintenance cost and poor in system stability.
Disclosure of Invention
In order to solve the above problems, an object of the present invention is to provide a wireless energy collecting method for a pipeline based on time reversal, so as to solve the power supply problem when a wireless sensor on the pipeline performs wireless energy transmission.
In order to achieve the above object, the method for collecting wireless energy in a pipeline based on time reversal comprises the following steps in sequence:
1) firstly, laying a time reversal-based pipeline wireless energy collection system, wherein the system comprises a power supply, a signal generation circuit, excitation piezoelectric ceramics, a metal pipeline, receiving piezoelectric ceramics, an energy collection circuit and an energy storage element; the exciting piezoelectric ceramics and the receiving piezoelectric ceramics are arranged on the surface of the metal pipeline at intervals and are positioned on the same axial horizontal line, and the upper end faces of the exciting piezoelectric ceramics and the receiving piezoelectric ceramics are both provided with upper electrodes and lower electrodes; the positive electrode and the negative electrode of the power supply are connected with the power supply end and the grounding end of the signal generating circuit; the output end and the grounding end of the signal generating circuit are respectively connected with the upper electrode and the lower electrode of the excitation piezoelectric ceramic through leads; the upper electrode and the lower electrode for receiving the piezoelectric ceramics are respectively connected with the input end of the energy collecting circuit and the grounding end by leads; the output end of the energy collecting circuit is connected with the energy storage element;
2) setting initial parameters of the system, and evaluating the impulse response of the metal pipeline to determine the optimal transmission frequency; exciting piezoelectric ceramics by using a signal generating circuit to send a Gaussian white noise signal with a peak value of 10V, exciting ultrasonic guided waves in a metal pipeline, transmitting through a channel, obtaining a receiving signal at the position of receiving the piezoelectric ceramics, carrying out Fourier transform on the signal to obtain a channel frequency response function, and obtaining the central frequency f with the highest gain;
3) exciting the receiving piezoceramic 5 using as input signal a modulated gaussian pulse s (t) with a centre frequency f, which can be expressed as:
wherein, t0Is the reference time, f is the center frequency, T is the time period of the signal, a is the amplitude of the signal;
4) after Gaussian pulse excitation, generating a transmitted ultrasonic guided wave in the wall of the metal pipeline, acquiring the ultrasonic guided wave by exciting piezoelectric ceramics, and recording the signal as r (t);
5) inverting the time sequence of the signal r (t) to obtain a standard excitation signal x (t):
x(t)＝r(-t) (2)
6) when energy transmission is needed, the system is started, the excitation piezoelectric ceramics are excited by standard excitation signals x (t), and the receiving piezoelectric ceramics at the position where energy is needed convert the energy of the ultrasonic guided waves into piezoelectric alternating current signals with potential difference and output the piezoelectric alternating current signals to an energy collecting circuit;
7) the energy collecting circuit rectifies and stabilizes the piezoelectric alternating current signal and then provides the rectified and stabilized voltage signal to the energy storage element so as to be used by a sensor in a pipeline.
The excitation piezoelectric ceramic and the receiving piezoelectric ceramic are in the same shape, both adopt flat disc-shaped piezoelectric ceramic materials, and are attached to the metal pipeline by epoxy resin.
The excitation piezoelectric ceramic is made of an emission type piezoelectric ceramic material made of PZT-4 or PZT-8 materials.
The receiving piezoelectric ceramic is a receiving piezoelectric ceramic material made of PZT-5 materials.
The upper electrode and the lower electrode are silver electrodes and copper electrodes.
The energy storage element is a super capacitor or a rechargeable lithium battery.
The metal pipeline is made of metal materials including a galvanized steel pipe, a copper pipe, an iron sheet pipe and a cast iron pipe.
The signal generating circuit consists of a single chip microcomputer, a DA conversion chip and a voltage amplifier.
The energy collecting circuit consists of a rectifier bridge and a filter capacitor.
The time reversal-based pipeline wireless energy collection method provided by the invention has the following beneficial effects:
(1) the ultrasonic guided wave in the metal pipeline is used as a carrier of energy, the energy can be transmitted in a wireless mode, the sensor on the metal pipeline is powered, the wiring and maintenance cost of a traditional sensor system is reduced, and the stability of the system is improved.
(2) The piezoelectric ceramic is used as a main component, so that the piezoelectric ceramic transducer is high in energy conversion efficiency, small in size and low in cost.
(3) Because the form of the transmitted signal is determined by a time reversal method, energy dispersion caused by a frequency dispersion phenomenon is compensated, and therefore the excited energy can be simultaneously focused in the metal pipeline, and the transmission efficiency of the system is high.
Drawings
FIG. 1 is a schematic structural diagram of a pipeline wireless energy collection device based on time reversal provided by the invention;
FIG. 2 is a schematic structural diagram of an exciting piezoelectric ceramic and a receiving piezoelectric ceramic in a wireless energy collecting device for pipelines based on time reversal provided by the invention;
FIG. 3 is a flow chart of a method for collecting wireless energy in a pipeline based on time reversal according to the present invention.
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and functions of the present invention will be readily apparent to those skilled in the art from the disclosure herein. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. It is to be noted that the features in the following embodiments and examples may be combined with each other without conflict.
It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention, and the components related to the present invention are only shown in the drawings rather than drawn according to the number, shape and size of the components in actual implementation, and the type, quantity and proportion of the components in actual implementation may be changed freely, and the layout of the components may be more complicated.
In order to enable those skilled in the art to better understand the technical solution of the present invention, the following technology will be explained.
As shown in fig. 1-3, the method for collecting wireless energy in a pipeline based on time reversal provided by the present invention comprises the following steps in sequence:
1) firstly, laying a time reversal-based pipeline wireless energy collection system shown in fig. 1 and fig. 2, wherein the system comprises a power supply 1, a signal generation circuit 2, excitation piezoelectric ceramics 3, a metal pipeline 4, receiving piezoelectric ceramics 5, an energy collection circuit 6 and an energy storage element 7; the exciting piezoelectric ceramics 3 and the receiving piezoelectric ceramics 5 are arranged on the surface of the metal pipeline 4 at intervals and are positioned on the same axial horizontal line, and the upper end surfaces of the exciting piezoelectric ceramics 3 and the receiving piezoelectric ceramics 5 are both provided with an upper electrode 8 and a lower electrode 7; the positive pole and the negative pole of the power supply 1 are connected with the power supply end and the grounding end of the signal generating circuit 2; the output end and the grounding end of the signal generating circuit 2 are respectively connected with the upper electrode 8 and the lower electrode 9 of the excitation piezoelectric ceramic 3 by leads; an upper electrode 8 and a lower electrode 9 of the receiving piezoelectric ceramic 5 are respectively connected with the input end of the energy collecting circuit 6 and the grounding end by leads; the output end of the energy collecting circuit 6 is connected with an energy storage element 7;
2) initial parameter setting is carried out on the system, and the impulse response of the metal pipeline 4 is evaluated so as to determine the optimal transmission frequency; exciting the piezoelectric ceramics 3 by utilizing a white Gaussian noise signal with a peak value of 10V emitted by the signal generating circuit 2, exciting an ultrasonic guided wave in the metal pipeline 4, transmitting through a channel, obtaining a received signal at the position of the received piezoelectric ceramics 5, carrying out Fourier transform on the signal to obtain a channel frequency response function, and obtaining the central frequency f with the highest gain;
3) exciting the receiving piezoceramic 5 using as input signal a modulated gaussian pulse s (t) with a centre frequency f, which can be expressed as:
wherein, t0Is the reference time, f is the center frequency, T is the time period of the signal, a is the amplitude of the signal;
4) after Gaussian pulse excitation, a transmitted ultrasonic guided wave is generated in the wall of the metal pipeline 4 and is obtained by exciting the piezoelectric ceramic 3, and the signal is recorded as r (t);
5) inverting the time sequence of the signal r (t) to obtain a standard excitation signal x (t):
x(t)＝r(-t) (2)
6) when energy transmission is needed, the system is started, the excitation is carried out at the position of the excitation piezoelectric ceramic 3 by a standard excitation signal x (t), and the receiving piezoelectric ceramic 5 at the position where energy is needed converts the energy of the ultrasonic guided wave into a piezoelectric alternating current signal with potential difference and outputs the piezoelectric alternating current signal to the energy collecting circuit 6;
7) the energy collecting circuit 6 rectifies and stabilizes the piezoelectric alternating current signal and provides the rectified and stabilized voltage signal to the energy storage element 7 so as to be used by a sensor in a pipeline.
The excitation piezoelectric ceramic 3 and the receiving piezoelectric ceramic 5 are the same in shape, both adopt flat disc-shaped piezoelectric ceramic materials, and are attached to the metal pipeline 4 by epoxy resin. The purpose of using the epoxy resin is to fix the piezoelectric ceramics, and to reduce the air gap between the piezoelectric ceramics and the metal pipe 4, thereby improving the coupling efficiency.
The excitation piezoelectric ceramic 3 is made of an emission type piezoelectric ceramic material made of PZT-4 or PZT-8 materials. The PZT-4 material has low mechanical loss and dielectric loss, large alternating current depolarization field, large dielectric constant, electromechanical coupling coefficient and piezoelectric constant, and is particularly suitable for excitation of strong electric field and large mechanical amplitude. The PZT-8 material has lower mechanical loss and dielectric loss than the PZT-4 material, and the dielectric constant, the mechanical coupling coefficient and the piezoelectric constant are slightly lower than those of the PZT-4 material, but the tensile strength and the stability are superior to those of the PZT-4 material, and the material is also suitable for excitation with high mechanical amplitude.
The receiving piezoelectric ceramic 5 is made of a receiving piezoelectric ceramic material made of PZT-5. The PZT-5 material has high electromechanical coupling coefficient, high piezoelectric strain constant and high resistivity, and each electromechanical parameter has excellent time stability and temperature stability, so that the material is suitable for conversion of low-power resonant energy and non-resonant energy.
The upper electrode 8 and the lower electrode 9 are silver electrodes and copper electrodes. The parameters of the silver electrode and the copper electrode are not greatly different, but the silver electrode can be preferably selected because the silver molecules are more active, the permeability is stronger, and the electrostatic capacity is larger.
The energy storage element 7 is a super capacitor or a rechargeable lithium battery.
The metal pipeline 4 is made of metal materials including galvanized steel pipes, copper pipes, iron sheet pipes and cast iron pipes.
The signal generating circuit 2 consists of a singlechip, a DA conversion chip and a voltage amplifier; the singlechip is used for storing the excitation signal and outputting the excitation signal in a digital signal form; the DA conversion chip is used for converting the digital signals into analog signals; the voltage amplifier is used for amplifying the excitation signal to excite the piezoelectric ceramic.
The energy collecting circuit 6 is composed of a rectifier bridge and a filter capacitor. The rectifier bridge is used for converting periodic alternating-current voltage output by the piezoelectric ceramic 5 into stable direct-current voltage capable of being stored and used; the filter capacitance must be large enough to ensure substantial stabilization of the output voltage.
Fig. 3-6 are data charts related to an application example of the pipeline wireless energy collection method based on time reversal, so as to illustrate the beneficial effects of the method.
The metal pipe 4 in this example is a galvanized steel pipe with a diameter of 30 cm; the diameter of the piezoelectric ceramic is 3cm, the exciting piezoelectric ceramic 3 is made of PZT-8 materials, the receiving piezoelectric ceramic 5 is made of PZT-5 materials, and silver electrodes are used as upper and lower electrode materials of the piezoelectric ceramic; the distance between the excitation piezoelectric ceramic 3 and the receiving piezoelectric ceramic 5 is 10 cm; DP460 epoxy resin adhesive from 3M company is selected as the jointing agent of the piezoelectric ceramics and the metal pipeline 4.
The center frequency f of the highest gain obtained after the above steps 1) -2) is 100 kHz. Obtaining a modulated gaussian pulse s (t) according to step 3), as shown in fig. 3, exciting the receiving piezoelectric ceramic 5.
According to steps 4) -5), a signal r (t) is obtained at the excitation piezoelectric ceramic 3, which is inverted in time series to r (-t) as shown in fig. 4, and is used as a standard excitation signal as shown in fig. 5.
According to steps 6) -7), exciting piezoelectric ceramic 3 with the standard excitation signal, a voltage with a peak value of 2.4V is obtained at receiving piezoelectric ceramic 5, as shown in fig. 6. If the excitation piezoelectric ceramic 3 is continuously excited, stable usable electric energy can be obtained.
In order to enable the ultrasonic guided wave energy excited by the exciting piezoelectric ceramic 3 to reach a focusing peak value at the position of receiving the piezoelectric ceramic 5 and make up for the problem of serious channel dispersion in the metal pipeline 4, the invention determines the form of a transmitting signal by using a time reversal method. White noise is excited from the excitation piezoelectric ceramics 3, a received signal is obtained from the reception piezoelectric ceramics 5, then Fourier transform is performed to obtain a channel frequency response function, and the frequency with the best signal transfer gain is observed. The optimal frequency is used as the central frequency of the modulation Gaussian pulse, excitation is carried out from the position of the receiving piezoelectric ceramics 5, and after the excitation piezoelectric ceramics 3 receives the excitation Gaussian pulse, the signal is inverted on the time domain, and the form of the excitation signal is obtained. When energy supply is needed, the starting system transmits energy to the energy storage element 7 so as to supply the energy to the sensor.
In general, in combination with the above preferred mode, the excitation voltage of the device can be increased if the power of the wireless energy harvesting is to be further increased. As can be appreciated from the preferred embodiments described above, the primary component involved in energy conversion is piezoelectric ceramics, and thus higher efficiencies can be achieved with more advanced piezoelectric transduction materials or formats, such as the selection of new high piezoelectric coefficient composites, but at increased cost to the overall device. If the energy required by the system is higher, the quantity of the excited piezoelectric ceramics can be increased, and the power of the transmitted energy can be increased in an array form.
The foregoing description is only exemplary of the principles of the invention and its efficacy, and is not intended to limit the invention. Any person skilled in the art can modify or change the above-mentioned embodiments without departing from the spirit and scope of the present invention. Accordingly, it is intended that all equivalent modifications or changes which can be made by those skilled in the art without departing from the spirit and technical spirit of the present invention be covered by the claims of the present invention.
Claims (9)
1. A pipeline wireless energy collection method based on time reversal is characterized in that: the time reversal-based pipeline wireless energy collection method comprises the following steps of sequentially:
1) firstly, laying a time reversal-based pipeline wireless energy collection system, wherein the system comprises a power supply (1), a signal generation circuit (2), excitation piezoelectric ceramics (3), a metal pipeline (4), receiving piezoelectric ceramics (5), an energy collection circuit (6) and an energy storage element (7); the exciting piezoelectric ceramics (3) and the receiving piezoelectric ceramics (5) are arranged on the surface of the metal pipeline (4) at intervals and are positioned on the same axial horizontal line, and the upper end surfaces of the exciting piezoelectric ceramics (3) and the receiving piezoelectric ceramics (5) are provided with upper electrodes (8) and lower electrodes (7); the positive electrode and the negative electrode of the power supply (1) are connected with the power supply end and the grounding end of the signal generating circuit (2); the output end and the grounding end of the signal generating circuit (2) are respectively connected with an upper electrode (8) and a lower electrode (9) of the excitation piezoelectric ceramic (3) by leads; an upper electrode (8) and a lower electrode (9) for receiving the piezoelectric ceramics (5) are respectively connected with the input end of the energy collecting circuit (6) and the grounding end by leads; the output end of the energy collecting circuit (6) is connected with an energy storage element (7);
2) carrying out initial parameter setting on the system, and evaluating the impulse response of the metal pipeline (4) so as to determine the optimal transmission frequency; exciting the piezoelectric ceramics (3) by utilizing a signal generating circuit (2) to send out a Gaussian white noise signal with a peak value of 10V, exciting ultrasonic guided waves in the metal pipeline (4), transmitting the ultrasonic guided waves through a channel, obtaining a received signal at a receiving piezoelectric ceramics (5), carrying out Fourier transform on the signal to obtain a channel frequency response function, and obtaining the central frequency f with the highest gain;
3) exciting the receiving piezoceramic (5) using as input signal a modulated gaussian pulse s (t) with a centre frequency f, which can be expressed as:
wherein, t0Is the reference time, f is the center frequency, T is the time period of the signal, a is the amplitude of the signal;
4) after Gaussian pulse excitation, a transmitted ultrasonic guided wave is generated in the wall of the metal pipeline (4), the ultrasonic guided wave is obtained by exciting the piezoelectric ceramic (3), and the signal is recorded as r (t);
5) inverting the time sequence of the signal r (t) to obtain a standard excitation signal x (t):
x(t)＝r(-t) (2)
6) when energy transmission is needed, the system is started, the excitation piezoelectric ceramics (3) are excited by standard excitation signals x (t), and the receiving piezoelectric ceramics (5) at the position where energy is needed convert the energy of the ultrasonic guided waves into piezoelectric alternating current signals with potential difference and output the piezoelectric alternating current signals to an energy collecting circuit (6);
7) the energy collecting circuit (6) rectifies and stabilizes the piezoelectric alternating current signal and provides the rectified and stabilized voltage for the energy storage element (7) so as to be used by a sensor in a pipeline.
2. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the excitation piezoelectric ceramic (3) and the receiving piezoelectric ceramic (5) are the same in shape, both adopt flat disc-shaped piezoelectric ceramic materials, and are attached to the metal pipeline (4) by epoxy resin.
3. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the excitation piezoelectric ceramic (3) is made of an emission type piezoelectric ceramic material made of PZT-4 or PZT-8 materials.
4. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the receiving piezoelectric ceramic (5) is a receiving piezoelectric ceramic material made of PZT-5 materials.
5. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the upper electrode (8) and the lower electrode (9) are silver electrodes and copper electrodes.
6. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the energy storage element (7) is a super capacitor or a rechargeable lithium battery.
7. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the metal pipeline (4) is made of metal materials including galvanized steel pipes, copper pipes, iron sheet pipes and cast iron pipes.
8. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the signal generating circuit (2) is composed of a single chip microcomputer, a DA conversion chip and a voltage amplifier.
9. The time reversal-based pipeline wireless energy collection method according to claim 1, wherein: the energy collecting circuit (6) is composed of a rectifier bridge and a filter capacitor.
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| CN201810031666.1A CN108183561B (en) | 2018-01-12 | 2018-01-12 | Pipeline wireless energy collection method based on time reversal |
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| CN201810031666.1A CN108183561B (en) | 2018-01-12 | 2018-01-12 | Pipeline wireless energy collection method based on time reversal |
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| CN108183561A CN108183561A (en) | 2018-06-19 |
| CN108183561B true CN108183561B (en) | 2020-12-01 |
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| DE102006028421B4 (en) * | 2006-06-21 | 2015-05-21 | Ust Umweltsensortechnik Gmbh | Method and sensor for detecting defects in buried pipelines |
| CN100458437C (en) * | 2006-12-01 | 2009-02-04 | 北京工业大学 | Supersonic guide-wave time reversion detection apparatus and method for defect of pipeline |
| CN106849378A (en) * | 2017-02-27 | 2017-06-13 | 天津大学 | A kind of wireless energy supply device and method based on Lamb wave |
| CN107124202B (en) * | 2017-04-11 | 2019-06-21 | 天津大学 | A kind of wireless simplex communication device and method based on Lamb wave |
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