CN107465271B - Ultrasonic wireless power transmission power improving system based on resonance compensation network - Google Patents

Ultrasonic wireless power transmission power improving system based on resonance compensation network Download PDF

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CN107465271B
CN107465271B CN201710859199.7A CN201710859199A CN107465271B CN 107465271 B CN107465271 B CN 107465271B CN 201710859199 A CN201710859199 A CN 201710859199A CN 107465271 B CN107465271 B CN 107465271B
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compensation network
resonance compensation
value
transducer
inductor
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CN107465271A (en
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戴欣
李艳玲
孙跃
王智慧
唐春森
苏玉刚
叶兆虹
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Chongqing University
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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
    • H02J50/15—Circuit arrangements or systems for wireless supply or distribution of electric power using ultrasonic waves

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Abstract

The invention discloses an ultrasonic wireless power transmission power improving system based on a resonance compensation network, which comprises a transmitting end resonance compensation network and/or a receiving end resonance compensation network; the transmitting end LC type resonance compensation network comprises an inductor connected with the ultrasonic power supply in series and a capacitor connected with the transmitting end transducer in parallel on one side of the output current of the inductor; the transmitting end CLC type resonance compensation network comprises an inductor connected with an ultrasonic power supply in series, a first capacitor connected with the inductor and a transmitting end transducer series circuit in parallel on one side of input current of the inductor, and a second capacitor connected with the transmitting end transducer in parallel on one side of output current of the inductor; the receiving end series resonance compensation network comprises an inductor which is connected with the output end load in series; the receiving end LC resonance compensation network comprises an inductor connected with the output end load in series and a capacitor connected with the series loop of the inductor and the load in parallel. The invention realizes the tuning of the transmitting end circuit and the improvement of the transmitting end power, reduces the reactive loss of the system and also improves the transmission efficiency of the receiving end.

Description

Ultrasonic wireless power transmission power improving system based on resonance compensation network
Technical Field
The invention relates to the technical field of wireless power transmission, in particular to an ultrasonic wireless power transmission power boosting system based on a resonance compensation network.
Background
Wireless Power Transfer (WPT) technology has been rapidly developed due to its advantages of convenience, flexibility, safety, environmental friendliness, etc., and its application prospects have gained wide attention. An Inductively Coupled Power Transfer (ICPT) technology is developed most mature in the WPT field, but it cannot transmit electric energy wirelessly through a metal medium, which limits the application occasions of the WPT technology. Ultrasonic wireless Power Transfer (UPT) technology is gaining attention from scholars in the sea and abroad, and because of the characteristic of being capable of penetrating metal media, the technology is mainly applied to the fields of spaceflight, military industry and navigation, and is used for supplying Power to electronic equipment working in a closed metal environment, such as tanks, nuclear devices, armored vehicles, electronic instruments in submarines and the like.
In the UPT system, the matching of the resonant network of the system is as important as the acoustic matching, because the UPT system is mainly used in the military field, and the military project generally requires the system to be a low-voltage large-current input, when the UPT system has limited input voltage and insufficient output power, how to design the resonant network to improve the transmitting and receiving power of the system, and meanwhile, improving the transmission efficiency of the system is a technical problem to be solved urgently.
Disclosure of Invention
The invention aims to at least solve the technical problems in the prior art, and particularly provides an ultrasonic wireless power transmission power improving system based on a resonance compensation network.
In order to achieve the above object, the present invention provides an ultrasonic wireless power transmission power boosting system based on a resonance compensation network, which includes a transmitting end resonance compensation network and/or a receiving end resonance compensation network;
the transmitting terminal compensation network is an LC type resonance compensation network or a CLC type resonance compensation network;
the receiving end resonance compensation network is a series resonance compensation network or an LC resonance compensation network;
the transmitting end LC type resonance compensation network comprises an inductor connected with the ultrasonic power supply in series and a matching capacitor connected with the transmitting end transducer on one side of the output current of the inductor in parallel;
the transmitting end CLC type resonance compensation network comprises an inductor connected with an ultrasonic power supply in series, a first capacitor connected with a series circuit formed by the inductor and a transmitting end transducer on one side of input current of the inductor in parallel, and a second capacitor connected with the transmitting end transducer on one side of output current of the inductor in parallel;
the receiving end series resonance compensation network comprises an inductor connected with an output end load in series;
the receiving end LC resonance compensation network comprises an inductor connected with the output end load in series and a capacitor connected with a series circuit formed by the inductor and the load in parallel.
The invention designs the structure of the resonant network of the transmitting terminal aiming at different types of ultrasonic power supplies. Aiming at different purposes of receiving end compensation, a receiving end resonance compensation network is designed. Tuning of the transmitting end circuit and improvement of transmitting end power are achieved, reactive loss of a system is reduced, and meanwhile transmission efficiency of a receiving end is improved.
In a preferred embodiment of the present invention, in the LC-type resonant compensation network at the transmitting end, the inductance value is:
Figure GDA0002348028360000021
the matching capacitance takes the values as follows:
Figure GDA0002348028360000031
the reactive power of the transmitting end is reduced, the transmitting power of the system is increased, and the receiving power of the receiving end is indirectly increased.
In another preferred embodiment of the present invention, in the CLC-type resonant compensation network at the transmitting end, the inductance takes a value as follows:
Figure GDA0002348028360000032
the first capacitance takes the values:
Figure GDA0002348028360000033
the second capacitance takes the values:
C2＝C1-C0。
the CLC type resonance matching network can improve the resonance capacity of the system, carry out impedance transformation and improve the power factor of the system, and is a band-pass filter which can limit the frequency of the system to be close to the resonance frequency.
In another preferred embodiment of the present invention, in the receiving end series resonance compensation network, the value of the inductance is as follows:
Figure GDA0002348028360000034
and the transmission efficiency of the system is improved by carrying out reactive compensation on the receiving end.
In another preferred embodiment of the present invention, in the receiving-end LC resonance compensation network, the value of the inductance is:
Figure GDA0002348028360000035
the value of the capacitance is as follows:
Figure GDA0002348028360000041
by adjusting the values of the matching inductor and the matching capacitor, the system is resonated, and meanwhile, the output equivalent impedance of the transducer can be changed, so that the load receiving power or the load output voltage can be controlled.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
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The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a block diagram of the connections between an ultrasonic power supply, a resonant matching network, and a piezoelectric transducer in a first preferred embodiment of the present invention;
FIG. 2 is an equivalent circuit diagram of a transmitting transducer in a first preferred embodiment of the present invention;
FIG. 3 is a schematic diagram of an LC-type resonant network in a first preferred embodiment of the present invention;
FIG. 4 is a schematic diagram of a CLC type impedance matching network in a first preferred embodiment of the present invention;
fig. 5 is a receiving end series inductance resonance compensation circuit in the first preferred embodiment of the present invention;
FIG. 6 is a circuit diagram of the LC type resonant network compensation circuit in the first preferred embodiment of the present invention;
FIG. 7 shows the driving voltage V across the transmitting transducer before and after the resonant compensation network of this embodiment is added to the transmitting end of the UPT systemtrAnd an input current ItrComparing waveforms, wherein fig. 7(a) is a waveform without a resonance compensation network, and fig. 7(b) is a waveform with an LC resonance compensation network added at a transmitting end;
FIG. 8 is a comparison graph of load power simulation under a dual resonant network and a non-resonant network.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
In the description of the present invention, unless otherwise specified and limited, it is to be noted that the terms "mounted," "connected," and "connected" are to be interpreted broadly, and may be, for example, a mechanical connection or an electrical connection, a communication between two elements, a direct connection, or an indirect connection via an intermediate medium, and specific meanings of the terms may be understood by those skilled in the art according to specific situations.
If the UPT system can work safely and efficiently, a compensation network between the piezoelectric transducer and the ultrasonic power supply plays an important role, and if the resonance matching is improper, the requirement of the system output power cannot be met, and the piezoelectric transducer can be damaged.
The connection between the ultrasonic power supply, the resonant matching network and the piezoelectric transducer is illustrated in block diagram form in FIG. 1, where Z0Is the output impedance of the ultrasonic power supply, ZiFor input impedance of piezoelectric transducer terminal，ZcIs the input impedance after passing through the impedance matching network.
Input impedance Z of piezoelectric transducer terminali＝Ri+jXiImpedance type, input impedance Z after matching by resonant networkc＝Rc+jXc，ZiAnd ZcThe specific relationship between them is determined by the specific form of the matching circuit. Typically, the output impedance requirement of an ultrasonic power supply is purely resistive, i.e., Z0＝R0Then, the ideal matching condition of the ultrasonic transducer is:
Figure GDA0002348028360000051
the dynamic inductance L of an ultrasonic transducer when it is operated at its electromechanical resonance frequency, i.e. when the transducer is operated in series resonancemAnd a dynamic capacitor CmPhase resonance, which produces the maximum ultrasonic power. The resonant angular frequency and the resonant frequency of the system at this time are as follows:
Figure GDA0002348028360000061
the operating frequency of the ultrasonic power supply should be designed to coincide with this series resonance frequency. At this time, the equivalent circuit of the transmitting transducer is shown in fig. 2, and only the transmitting end dynamic resistor R remains in the circuitmAnd a transmitting terminal static capacitor C0And (4) connecting in parallel.
In order to design a compensation network between a piezoelectric transducer and an ultrasonic power supply to improve the transmitting and receiving power of the system, the invention provides an ultrasonic wireless power transmission power improving system based on a resonance compensation network, which comprises a transmitting end resonance compensation network and/or a receiving end resonance compensation network;
the transmitting terminal compensation network is an LC type resonance compensation network or a CLC type resonance compensation network;
the receiving end resonance compensation network is a series resonance compensation network or an LC resonance compensation network;
the transmitting end LC type resonance compensation network comprises an inductor connected with the ultrasonic power supply in series and a matching capacitor connected with the transmitting end transducer on one side of the output current of the inductor in parallel;
the transmitting end CLC type resonance compensation network comprises an inductor connected with an ultrasonic power supply in series, a first capacitor connected with a series circuit formed by the inductor and a transmitting end transducer on one side of input current of the inductor in parallel, and a second capacitor connected with the transmitting end transducer on one side of output current of the inductor in parallel;
the receiving end series resonance compensation network comprises an inductor connected with an output end load in series;
the receiving end LC resonance compensation network comprises an inductor connected with the output end load in series and a capacitor connected with a series circuit formed by the inductor and the load in parallel.
In the present embodiment, the structure for the transmission-side compensation is determined according to the power type. Selecting LC type resonance compensation when the power supply type is a voltage source; the power type is a current source, and CLC type resonance compensation is selected; in particular operation, the input impedance ZinThe adjustable, transmission power increases, and reactive power reduces.
The structure of the receiving end compensation is determined according to the action and the requirement of the receiving end, and if the output impedance is not required, the reactive power is eliminated by using series resonance compensation; if the output impedance is required, LC compensation is selected, the output impedance can be regulated and controlled, and reactive power is eliminated.
In the LC-type resonant network of this embodiment, as shown in fig. 3, it is composed of a series inductor LLCAnd a parallel capacitor CLCIs formed by adjusting the matching inductance LLCAnd a matching capacitor CLCThe value of (b) is such that the system resonates while the input equivalent impedance of the transducer is also varied, thereby allowing the power drawn by the transducer from the power supply to be controlled.
Wherein, the inductance value is:
Figure GDA0002348028360000071
the value of the matching capacitance is as follows:
Figure GDA0002348028360000072
wherein, C0Taking the value of the static capacitance of the transducer, RmTaking the value of the dynamic resistance of the transducer, CLCFor the value of the matching capacitance, Ps is the ideal transmission power of the transducer, UinIs the ideal input voltage of the transducer, LLCTaking value of inductance of transmitting end, omega0Is the resonant angular frequency of the system.
By varying the matching capacitance CLCCan change the value of the input impedance, thereby changing the active power output by the transmitting power supply. The ideal transmitting power (limited by the rated power of the transducer) of the transducer is Ps, and the ideal input voltage is UinThen, the equivalent input impedance has:
Figure GDA0002348028360000073
the LC impedance matching network can not only compensate the capacitive property of the transducer and reduce the reactive power of the system, but also change the impedance of the circuit and adjust the output power of the system under the condition of limited input voltage.
At this time, the driving voltage U applied to the transmitting transducertrAnd an input voltage UinThe voltage gain is:
Figure GDA0002348028360000081
because the static capacitance value of the transducer is very small, the parallel capacitance value can be properly increased, and the voltage gain value is improved, so that the two ends of the transducer can obtain higher sinusoidal voltage drive.
In another preferred embodiment of the present invention, a second capacitor C may be connected in parallel to the front end of the transmitting transducer2To change the value of the input admittance and improve the static capacitance value, thereby obtaining a CLC-type impedance matching network, as shown in fig. 4.
The value of the inductance is:
Figure GDA0002348028360000082
the values of the first and second capacitances are:
Figure GDA0002348028360000083
C2＝C1-C0
the system input admittance is:
Figure GDA0002348028360000084
the specific current gain function is:
Figure GDA0002348028360000085
wherein, C0Is taken as the value of the static capacitance of the transmitting transducer, Rm is taken as the value of the dynamic resistance of the transmitting transducer, C1Is taken as the value of the first capacitance, C2Is taken as the value of the second capacitance, LCLCTaking value of inductance of transmitting end, omega0Is the resonant angular frequency of the system, YinIs the input equivalent admittance.
The CLC type resonance matching network can improve the resonance capacity of the system, carry out impedance transformation and improve the power factor of the system, and is a band-pass filter which can limit the frequency of the system to be close to the resonance frequency.
Resonant compensation networks are generally divided into single resonant compensation networks and multi-resonant compensation networks. The single resonance compensation network refers to a network for performing resonance compensation on one side of the wireless power transmission system, and the multi-resonance compensation network refers to a network for performing resonance compensation on both sides of the wireless power transmission system. Compared with single resonance compensation, the multi-resonance compensation can achieve better effect and has higher flexibility, so that the compensation mode is studied most deeply and applied most widely.
Generally, the receiving transducer is the same type as the transmitting transducer, and in order to obtain good receiving performance, the receiving transducer can also beWorking at the electromechanical resonance frequency, the simplified circuit of the receiving transducer is shown in FIG. 5, and the receiving end is composed of a controlled voltage source and a dynamic resistor RmAnd a static capacitance C0The parallel connection is formed, and the system is capacitive.
After the resonance compensation is carried out on the transmitting end, the reactive power of the transmitting end is reduced, the transmitting power of the system is increased, and the receiving power of the receiving end is indirectly increased. If the receiving end has no special requirement for the power of the load, only the reactive compensation needs to be performed on the receiving end, so as to improve the transmission efficiency of the system, and a series inductance resonance compensation mode can be adopted, as shown in fig. 5.
The output impedance Z of the receiving end is seen from the loadoInput impedance Z with transmitting endinThe analysis is consistent, and at this time, the series resonance compensation inductance Ls is:
Figure GDA0002348028360000091
if the receiving end not only needs to reduce the reactive power, but also has a requirement on the output power or the output voltage, the LC type resonant network compensation can be adopted for the receiving end at this time, as shown in fig. 6. The system comprises a parallel capacitor and a series inductor, the system is resonated by adjusting the values of the matching inductor and the matching capacitor, and the output equivalent impedance of the transducer can be changed, so that the load receiving power or the load output voltage can be controlled.
The matching inductance value of the receiving end LC type resonant network is as follows:
Figure GDA0002348028360000101
the capacitance value is:
Figure GDA0002348028360000102
the equivalent output impedance seen from the load side at this time is:
Figure GDA0002348028360000103
wherein, C0Taking the value of the static capacitance of the receiving end transducer, Rm the value of the dynamic resistance of the receiving end transducer, C the value of the receiving end matching capacitance, L the value of the matching inductance, and omega0Is the resonant angular frequency, Z 'of the system'oIs the equivalent output impedance.
According to different system output requirements, the output impedance can be changed: if the desired output achieves maximum power, then the desired output impedance Zo' ═ RL，RLIs a load resistor. If the output voltage is desired to be stable, the output impedance Zo' ═ kR is desiredLThe k value is generally small. The larger the load is relative to the output impedance, the larger the voltage across the load and the smaller the output voltage fluctuation. However, if the desired output impedance is too low, a large compensation capacitance is required, which in turn reduces the matched output voltage, typically k is 0.1.
It should be noted that although in the above four structures, C appears0And Rm, but their meanings are determined by the structures to which they are applied, and these symbols are used only for the convenience of understanding the present invention and are not to be construed as limiting the structures.
In the invention, in the simplified circuit of the transmitting end transducer and the receiving transducer, the calculation method of the dynamic resistance and the static capacitance adopts the prior art.
In a preferred embodiment of the present invention, the ultrasonic transducer equivalent model parameter settings are shown in table 1. The system adopts a hard switch control mode, namely the fixed working frequency is that the series resonance frequency fs of the transmitting transducer is 28.11 KHz. In the receiving end circuit part, a model of a controlled voltage source is adopted to simulate the pick-up voltage of the receiving end.
TABLE 1 equivalent model parameters of ultrasonic transducers
C0 Rm Cm Lm
6.06nF 25.40Ω 666.87PF 48.06mH
The design parameters of the resonance compensation network at the transmitting end are shown in table 2, and the resonance compensation parameters are designed according to different types of power supplies and expected output transmitting power. Since the rated power of the ultrasonic transducer in the experiment is 100W, the ultrasonic transducer is calculated according to the expected transmission power of 100W in the design. As can be seen from the table, for the voltage-type power supply, the LC-type resonant network is adopted, which not only can reduce the input voltage, but also can increase the transmission power, so the LC-type resonant network is adopted in this design.
TABLE 2 transmitting side resonant network parameters
Figure GDA0002348028360000111
The design parameters of the resonant compensation network at the receiving end are shown in table 3, and the load RL is 150 ohms, which is the maximum power matching load obtained by the characteristic admittance curve of the actual system. When the output voltage of the load is required to be stable, an LC type network is adopted. For the experiment, after the transmitting end adopts LC type resonance matching, the transmitting power is improved, and the efficiency of the receiving end is expected to be improved, so that a series L type resonance network is adopted. Meanwhile, the L-shaped resonant network of the receiving end has little influence on the characteristic admittance curve of the system, and the influence can be ignored.
TABLE 3 receiving end resonant network parameters
Resonant network L C
String L 3.9uH —
And L 5.28mH —
LC type 70.7uH 179nF
Fig. 7 is a comparison of waveforms of the driving voltage Vtr and the input current Itr across the transmitting transducer before and after the resonant compensation network of the present embodiment is added to the transmitting terminal of the UPT system. Fig. 7(a) shows waveforms without resonant compensation network, the system input voltage is 50V, and the transmitting transducer transmitting power Pin ═ Vtr ═ Itr ═ 21W, where the transmitting power is smaller. Because the power supply inversion output signal is a square wave, and the driving voltage at the two ends of the transmitting end is the square wave, higher harmonics exist, and the normal work of the transducer is influenced.
Fig. 7(b) shows the waveform when the LC resonance compensation network is added to the transmitting end, and the system input voltage is 30V, and the transmitting transducer transmitting power Pin is Vtr Itr 91W, which increases the system transmitting power by 4.3 times and reduces the system input voltage. At the moment, the driving voltage of the energy converter is a standard sine wave, so that the LC resonance network has a good filtering function, the voltage and current waveforms at two ends of the energy converter can be improved to a certain extent, and the interference of higher harmonics on the work of the energy converter can be reduced. Meanwhile, the effective value of the driving voltage of the transducer is increased to 50V from the input voltage of 30V, the voltage gain is 1.67 Au, and the driving voltage of the transmitting transducer is increased. The resonance is slightly deviated due to the operation of the hard switch used in the simulation, and the resonance frequency calculated by the system soft switch is 28089 Hz. It can be seen that the system resonant frequency is reduced with the addition of the LC resonant circuit.
In this embodiment, when the resonance compensation network is not added, the transmission efficiency of the receiving end is 74%, and when the series inductance L resonance compensation network is added, the transmission efficiency of the receiving end is 90%, and the transmission efficiency is increased by 16%. Namely, the reactive power of the system is reduced at the moment, and the overall energy transmission efficiency of the system is improved.
FIG. 8 is a simulation comparison of system load power for a dual resonant network and a non-resonant network. It can be seen from the figure that the system load power under the dual-resonance network is obviously improved, mainly because the input impedance of the system is changed after the resonance compensation network is added, so that the transmitting power of the transmitting terminal is increased, and the receiving power of the receiving terminal is increased and the load power is increased.
The invention designs the structure of the resonant network of the transmitting terminal aiming at different types of ultrasonic power supplies. Aiming at different purposes of receiving end compensation, a receiving end resonance compensation network is designed. Tuning of the transmitting end circuit and improvement of transmitting end power are achieved, reactive loss of a system is reduced, and meanwhile transmission efficiency of a receiving end is improved.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
While embodiments of the invention have been shown and described, it will be understood by those of ordinary skill in the art that: various changes, modifications, substitutions and alterations can be made to the embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.

Claims (3)

1. An ultrasonic wireless power transmission power boosting system based on a resonance compensation network is characterized by comprising a transmitting end resonance compensation network and/or a receiving end resonance compensation network;
the transmitting terminal compensation network is an LC type resonance compensation network or a CLC type resonance compensation network;
the receiving end resonance compensation network is a series resonance compensation network or an LC resonance compensation network;
the transmitting end LC type resonance compensation network comprises an inductor connected with the ultrasonic power supply in series and a matching capacitor connected with the transmitting end transducer on one side of the output current of the inductor in parallel;
the transmitting end CLC type resonance compensation network comprises an inductor connected with an ultrasonic power supply in series, a first capacitor connected with a series circuit formed by the inductor and a transmitting end transducer on one side of input current of the inductor in parallel, and a second capacitor connected with the transmitting end transducer on one side of output current of the inductor in parallel;
the receiving end series resonance compensation network comprises an inductor connected with an output end load in series;
the receiving end LC resonance compensation network comprises an inductor connected with the output end load in series and a capacitor connected with a series circuit formed by the inductor and the load in parallel;
in the transmitting end LC type resonance compensation network, the inductance value is as follows:
Figure FDA0002348028350000011
the matching capacitance takes the values as follows:
Figure FDA0002348028350000012
wherein, C0Is the value of the static capacitance of the transducer, Rm is the value of the dynamic resistance of the transducer, CLCThe value of the matching capacitance in the LC type resonance compensation network at the transmitting end is shown, Ps is the ideal transmitting power of the transducer, UinIs the ideal input voltage of the transducer, LLCThe value of the inductance, omega, in the LC type resonance compensation network at the transmitting end is taken0Is the resonant angular frequency of the system;
in the CLC type resonance compensation network of the transmitting end, the value of the inductance is as follows:
Figure FDA0002348028350000021
the first capacitance takes the values:
Figure FDA0002348028350000022
the second capacitance takes the values:
C2＝C1-C0，
wherein, C0Is the value of the static capacitance of the transducer, Rm is the value of the dynamic resistance of the transducer, C1Is taken as the value of the first capacitance, C2Is taken as the value of the second capacitance, LCLCFor the value of the inductance, omega, in a CLC-type resonance compensation network at the transmitting end0Is the resonant angular frequency of the system, YinIs the equivalent admittance of the current terminals.
2. The ultrasonic wireless power transmission power boosting system based on the resonance compensation network according to claim 1, wherein in the receiving end series resonance compensation network, the value of the inductance is as follows:
Figure FDA0002348028350000023
wherein, C0Taking the value of the static capacitance of the transducer, RmTaking the value of the dynamic resistance of the transducer, ω0Is the resonant angular frequency of the system.
3. The ultrasonic wireless power transmission power boosting system based on the resonance compensation network according to claim 1, wherein in the receiving-end LC resonance compensation network, the value of the inductance is as follows:
Figure FDA0002348028350000024
the value of the capacitance is as follows:
Figure FDA0002348028350000025
wherein, C0Taking the value of the static capacitance of the transducer, RmIs the value of the dynamic resistance of the transducer, C is the value of the matching capacitance, L is the value of the matching inductance, omega0Is the resonant angular frequency, Z 'of the system'oIs the equivalent output impedance.
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