CN112491161B - Wireless power transmission system compensation capacitance tuning method based on series compensation circuit - Google Patents

Wireless power transmission system compensation capacitance tuning method based on series compensation circuit Download PDF

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CN112491161B
CN112491161B CN202011313641.4A CN202011313641A CN112491161B CN 112491161 B CN112491161 B CN 112491161B CN 202011313641 A CN202011313641 A CN 202011313641A CN 112491161 B CN112491161 B CN 112491161B
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receiving end
compensation
compensation capacitor
coil
value
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CN112491161A (en
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那拓扑
李为汉
唐佳琪
张明涛
张千帆
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Harbin Institute of Technology
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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
    • 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
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00Details of apparatus for conversion
    • H02M1/32Means for protecting converters other than automatic disconnection
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00Conversion of dc power input into dc power output
    • H02M3/22Conversion of dc power input into dc power output with intermediate conversion into ac
    • H02M3/24Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
    • H02M3/28Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00Conversion of dc power input into dc power output
    • H02M3/22Conversion of dc power input into dc power output with intermediate conversion into ac
    • H02M3/24Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
    • H02M3/28Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac
    • H02M3/325Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal
    • H02M3/335Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M3/33569Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only having several active switching elements

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  • Power Engineering (AREA)
  • Computer Networks & Wireless Communication (AREA)
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Abstract

A wireless power transmission system compensation capacitance tuning method based on a series compensation circuit relates to the field of wireless charging. The invention aims to solve the problem that the existing tuning mode is complex before the operation of a wireless power transmission system. The method comprises the steps of firstly adjusting a compensation capacitor of a transmitting end, enabling the compensation capacitor of the receiving end to be self-inductively matched with a coil of the receiving end after adjustment, then adjusting the compensation capacitor of the receiving end, and enabling the compensation capacitor of the receiving end to be self-inductively matched with the coil of the receiving end after adjustment; therefore, the tuning of the receiving end compensation capacitor and the transmitting end compensation capacitor is realized. It is used to tune the compensation capacitance.

Description

Wireless power transmission system compensation capacitance tuning method based on series compensation circuit
Technical Field
The invention relates to a wireless charging compensation capacitance tuning method. Belong to wireless field of charging.
Background
For a compensation circuit in a series (SS) compensation wireless power transmission system, the function of the compensation circuit is to counteract the inductive component of a primary coil and a secondary coil in a coupling mechanism at the switching frequency of the system operation, so as to reduce the reactive power of the system as much as possible and ensure that the system output has the constant voltage or constant current characteristic. However, in practical applications, the compensation capacitance value in the compensation circuit is difficult to be precisely tuned to the self-inductance value of the coupling mechanism for the following reasons, including parameter errors of inductance-capacitance devices manufactured in large scale, temperature drift of capacitance-inductance parameter values during system operation, and self-inductance value change caused by relative position change of primary and secondary coils. For the detuning problem of the compensation circuit and the coupling mechanism caused by the change of the inductance-capacitance parameter value, the automatic tuning can be realized by the online adjustment of the adjustable capacitance (such as a continuously adjustable switched capacitor or a capacitance matrix controlled by using a switch). For the application of the adjustable capacitor in the wireless power transmission system, the parameter identification of the self-inductance value of the coupling mechanism can be carried out before the system runs, and the ideal target value of the adjustable capacitor can be calculated according to the self-inductance value obtained by the parameter identification. However, in the adjustable capacitor adjusting method based on parameter identification, the software and hardware costs of the system are increased due to the addition of the parameter identification stage, on the other hand, after the system finishes the parameter identification, the target adjusting value of the adjustable capacitor is determined, and for the temperature drift problem generated by the system operation, the parameter identification needs to be operated again to realize the tuning, which increases the complexity of the system operation.
Disclosure of Invention
The invention aims to solve the problem that the existing tuning mode is complex before the operation of a wireless power transmission system. A method for tuning a compensation capacitor of a wireless power transmission system based on a series compensation circuit is provided.
A compensation capacitance tuning method of a wireless power transmission system based on a series compensation circuit comprises the following steps:
step 1, obtaining a voltage gain module value of a receiving end equivalent resistor in a wireless electric energy transmission system of a string compensation circuit according to the wireless electric energy transmission system of the string compensation circuit;
step 2, when the transmitting end of the wireless electric energy transmission system of the series compensation circuit is in constant current control, automatically adjusting the capacitance value of the compensation capacitor of the receiving end by adopting a hill climbing algorithm, stopping adjusting the compensation capacitor of the receiving end when detecting that the voltage gain module value of the equivalent resistor of the receiving end reaches a preset value, wherein the offset coefficient of the compensation capacitor of the receiving end is equal to 1, and the self-inductance matching of the compensation capacitor of the receiving end and a coil of the receiving end is realized; when the transmitting end of the wireless electric energy transmission system of the series compensation circuit has no constant current control, the amplitude of the current of the coil of the transmitting end is transmitted to the coil of the receiving end in a wireless communication mode, the capacitance value of the compensation capacitor of the receiving end is automatically adjusted by adopting a hill climbing algorithm, so that the gain module value of the load voltage reaches a preset value, the bias coefficient of the compensation capacitor of the receiving end is equal to 1, and the self-induction matching of the compensation capacitor of the receiving end and the coil of the receiving end is realized;
step 3, after the adjustment in the step 2 is finished, the reflection impedance of the receiving end at the transmitting end becomes resistive, and an impedance angle of the output end of the inverter at the transmitting end looking towards the direction of the compensation network is obtained;
and 4, automatically adjusting the capacitance value of the compensation capacitor in the transmitting end, wherein when the impedance angle is detected to be zero, the compensation capacitor of the transmitting end is a harmonic capacitance value, and the harmonic coefficient of the compensation capacitor of the transmitting end is equal to 1, so that the tuning of the compensation capacitor of the receiving end and the compensation capacitor of the transmitting end is realized.
Preferably, in step 2, the receiving end compensation capacitance value tuning coefficient is expressed as:
Figure BDA0002790633640000021
in the formula, when the value of the harmonic coefficient k of the receiving end compensation capacitance value is 1, the self-inductance of the receiving end compensation capacitance and the receiving end coil is tuned, when k is greater than 1 or k is less than 1, the self-inductance of the receiving end compensation capacitance and the receiving end coil is tuned, omega is angular frequency, and L is S Is the self-inductance value, C, of the receiving end coil S The capacitance is compensated for at the receiving end.
Preferably, in step 1, the voltage gain module value of the receiving end equivalent resistor is represented as:
Figure BDA0002790633640000022
in the formula (I), the compound is shown in the specification,
Figure BDA0002790633640000023
v e voltage of equivalent resistance of receiving terminal, V Load Is the load voltage, R e Is a receiving terminal equivalent resistance, R Load Is a load resistance, R S For receiving the internal resistance of the coil, j represents a plurality, I P The coil current at the transmitting end is M, and the mutual inductance value of the coils of the coupling mechanism is M.
Preferably, the transmission-end compensation capacitance value harmonic coefficient is expressed as:
Figure BDA0002790633640000024
in the formula, when the harmonic coefficient k of the transmitting end compensation capacitance value is 1, the transmitting end compensation capacitance and the transmitting end coil self-inductance are tuned, when k is more than 1 or k is less than 1, the transmitting end compensation capacitance and the transmitting end coil self-inductance are tuned, omega is angular frequency, L P Is the self-inductance value of the coil at the transmitting end, C P The capacitance is compensated for the transmitting end.
Preferably, in step 4, the impedance angle is expressed as:
Figure BDA0002790633640000031
in the formula, R P For the internal resistance of the transmitting end coil, R r θ is the reflection impedance of the transmitting end, and θ is the impedance angle.
The invention has the beneficial effects that:
according to the application, in the SS compensated wireless power transmission system, the compensation capacitor at the receiving end can be automatically tuned according to the change of the output voltage of the system. When the voltage of the equivalent resistor at the receiving end of the system or the voltage gain of the equivalent resistor at the receiving end reaches a preset value (the preset value is the maximum value, and when the voltage gain of the equivalent resistor at the receiving end reaches the maximum value, the compensation capacitor at the receiving end is the minimum value at the moment, so that the compensation capacitor at the receiving end does not need to be adjusted any more), the capacitance value of the compensation capacitor at the receiving end is the precisely tuned capacitance value, and the power transmitted by the coupling mechanism only contains active power at the moment. For the automatic tuning of the compensation capacitor at the transmitting end, after the compensation capacitor at the receiving end is tuned, the compensation capacitor at the transmitting end can be automatically tuned according to the phase angle of the inversion output voltage and the inversion output current, when the phase angle is 0 degree, the capacitance value of the compensation capacitor at the transmitting end is the capacitance value during accurate tuning, and the output power of the inverter only contains active power at the moment.
The SS compensation wireless power transmission compensation capacitor automatic tuning method is simple to operate, parameter identification of self-inductance values of coils of a transmitting end and a receiving end of a coupling mechanism is not needed, automatic adjustment can be conducted all the time according to system output voltage change and an inverter output impedance angle, inverter output power and coupling mechanism transmission power only contain active power, and the system can achieve maximum active power output and is beneficial to improvement of system transmission efficiency.
Drawings
Fig. 1 is a flowchart of a tuning method for compensating capacitance of a wireless power transmission system based on a series compensation circuit;
fig. 2 is a schematic circuit diagram of a wireless power transmission system based on a string compensation circuit;
FIG. 3 is a diagram of one implementation of a receive side compensation capacitor or a transmit side compensation capacitor;
FIG. 4 is a diagram of another implementation of a receive side compensation capacitor or a transmit side compensation capacitor;
FIG. 5 is a receiving end fundamental wave equivalent circuit;
fig. 6 is an equivalent circuit diagram of the transmitting terminal after the compensation capacitor of the receiving terminal is adjusted.
Detailed Description
The first embodiment is as follows: specifically describing the present embodiment with reference to fig. 1 to 4, the method for tuning a compensation capacitor of a wireless power transmission system based on a string compensation circuit according to the present embodiment includes the following steps:
step 1, obtaining a voltage gain module value of a receiving end equivalent resistor in a wireless electric energy transmission system of a string compensation circuit according to the wireless electric energy transmission system of the string compensation circuit;
step 2, when the transmitting end of the wireless electric energy transmission system of the series compensation circuit is in constant current control, automatically adjusting the capacitance value of a compensation capacitor of the receiving end by adopting a hill climbing algorithm, stopping adjusting the compensation capacitor of the receiving end when detecting that the voltage gain module value of the equivalent resistor of the receiving end reaches a preset value, wherein the offset coefficient of the compensation capacitor of the receiving end is equal to 1, and the self-inductance of the compensation capacitor of the receiving end and a coil of the receiving end is matched; when the transmitting end of the wireless electric energy transmission system of the series compensation circuit has no constant current control, the amplitude of the current of the coil of the transmitting end is transmitted to the coil of the receiving end in a wireless communication mode, the capacitance value of the compensation capacitor of the receiving end is automatically adjusted by adopting a hill climbing algorithm, so that the gain module value of the load voltage reaches a preset value, the bias coefficient of the compensation capacitor of the receiving end is equal to 1, and the self-induction matching of the compensation capacitor of the receiving end and the coil of the receiving end is realized;
step 3, after the adjustment in the step 2 is finished, the reflection impedance of the receiving end at the transmitting end becomes resistive, and an impedance angle of the output end of the inverter at the transmitting end looking towards the direction of the compensation network is obtained;
and 4, automatically adjusting the capacitance value of the compensation capacitor in the transmitting end, wherein when the impedance angle is detected to be zero, the compensation capacitor of the transmitting end is a harmonic capacitance value, and the harmonic coefficient of the compensation capacitor of the transmitting end is equal to 1, so that the tuning of the compensation capacitor of the receiving end and the compensation capacitor of the transmitting end is realized.
In this embodiment, step 2 is an automatic tuning step of the compensation capacitor at the receiving end; and step 4 is an automatic tuning step of the compensation capacitor of the transmitting terminal.
And (3) automatic tuning of the compensation capacitor of the receiving end: when the compensation capacitance value in the receiving end circuit cannot be accurately tuned with the self-inductance value of the receiving end coil of the coupling mechanism, the receiving end compensation capacitance value can be considered to be tuned with respect to the self-inductance value of the receiving end coil, for convenience of description, a tuning coefficient k of the receiving end compensation capacitance value can be defined, when the value k is 1, the receiving end compensation capacitance value is accurately tuned with the self-inductance of the receiving end coil, when k is greater than 1 or k is less than 1, the receiving end compensation capacitance value is accurately tuned with the self-inductance of the receiving end coil, as shown in formula 1, for the receiving end circuit of the SS compensation wireless power transmission system, a fundamental wave approximate analysis method is applied and the internal resistance R of the receiving end coil is considered S The equivalent circuit is shown in fig. 5.
For the equivalent circuit shown in fig. 5, the voltage gain and the modulus of the gain can be expressed by equation 2.
At the load resistance R Load Or an equivalent load resistance R e Under the premise of keeping unchanged, according to the denominator part of the voltage gain module value in the formula 2, when the capacitance offset coefficient k is 1, namely the self-inductance value of the receiving end compensation capacitance and the receiving end coil is accurately matched, the voltage gain module value reaches the maximum value, and when the capacitance is larger or smaller, the voltage gain module value is continuously reduced along with the increase of the offset degree. Therefore, the capacitance value of the adjustable capacitor at the receiving end can be continuously adjusted by using a hill climbing algorithm, and the capacitance value of the adjustable capacitor is stopped to be adjusted when the voltage gain module value is maximum, and the capacitance value of the adjustable capacitor is the accurate harmonic capacitance value.
For the detection of the voltage gain modulus value according to the formula
Figure BDA0002790633640000041
It can be seen that when the transmitter uses constant current control, i.e. transmitter coil current I P Held constant, e.g. by phase-shift control, by an equivalent load voltage v e The accurate tuning capacitance value of the adjustable capacitor at the receiving end can be determined due to the equivalent load voltage v e And a load voltage V Load In proportion, e.g.
Figure BDA0002790633640000051
When the transmitting terminal uses constant current control, the capacitance value of the adjustable capacitor of the receiving terminal can be continuously adjusted by using a hill climbing algorithm, and when the detected load voltage V is Load When the maximum value is reached, the capacitance value of the adjustable capacitor at the receiving end is the capacitance value of the accurate tuning. If the transmitting end has no constant current control, the amplitude or the effective value of the coil current of the transmitting end needs to be transmitted to the secondary side in a wireless communication mode, the capacitance value of the adjustable capacitor of the receiving end is continuously adjusted by utilizing a hill climbing algorithm, and when the load voltage V is lower than the voltage V, the load voltage V is adjusted to be smaller than the voltage V Load And primary side current I P When the ratio of (a) to (b) is maximum, the capacitance value of the adjustable capacitor is the capacitance value during accurate tuning.
And (3) automatic tuning of the compensation capacitance of the transmitting end: after the adjustable capacitance of the receiving end is adjusted, the reflection impedance R of the receiving end circuit at the transmitting end r And the impedance is obtained, and the fundamental wave equivalent circuit of the transmitting end circuit is shown in fig. 6. For convenience of illustration, a bias resonance coefficient k of the compensation capacitance value of the transmitting terminal is defined, when a value of k is 1, the compensation capacitance of the transmitting terminal is precisely tuned with the self-inductance of the coil of the transmitting terminal, and when k is greater than 1 or k is less than 1, the compensation capacitance of the transmitting terminal is tuned with the self-inductance of the coil of the transmitting terminal, as shown in formula 4. For the equivalent circuit shown in fig. 4, the input impedance Z as viewed from the inverter output terminal toward the compensation circuit in By
Figure BDA0002790633640000052
And (4) showing. By passing
Figure BDA0002790633640000053
It can be seen that the value of the impedance angle θ and the capacitance deviation coefficient k are monotonically increasing, i.e., when k is greater than 1, the impedance angle θ increases with increasing k, and when k is less than 1, when k decreases, the impedance angle θ decreases with decreasing k. Therefore, for the automatic tuning of the transmitting end adjustable capacitor, the automatic tuning can be realized by detecting the impedance angle, namely, the capacitance value of the transmitting end adjustable capacitor is continuously adjusted, when the impedance angle theta is 0 degree, namely, the phase difference between the inversion voltage and the inversion current is 0 degree, the capacitance value of the transmitting end adjustable capacitor is the capacitance value during accurate tuning, and simultaneously, the power transmitted by the inverter and the coupling mechanism only contains active power.
V in FIG. 2 source For input voltage, i p Compensating the network current for the transmitting end i s The network current is compensated for the receiving end.
The second embodiment is as follows: in this embodiment, the tuning method for the compensation capacitor of the wireless power transmission system based on the series compensation circuit according to the first embodiment is further described, in this embodiment, in step 2, the harmonic coefficient of the compensation capacitor at the receiving end is represented as:
Figure BDA0002790633640000054
in the formula, when the tuning coefficient k of the receiving end compensation capacitance value is 1, the self-inductance of the receiving end compensation capacitance and the receiving end coil are tuned, when k is greater than 1 or k is less than 1, the self-inductance of the receiving end compensation capacitance and the receiving end coil are tuned, omega is angular frequency, and L is S Is a self-inductance value of the receiving end coil, C S The capacitance is compensated for the receiving end.
The third concrete implementation mode: in the tuning method of the compensation capacitor of the wireless power transmission system based on the string compensation circuit according to the embodiment, in step 1, the voltage gain module value of the equivalent resistor at the receiving end is expressed as:
Figure BDA0002790633640000061
in the formula (I), the compound is shown in the specification,
Figure BDA0002790633640000062
v e is the voltage of the equivalent resistance of the receiving terminal, V Load Is the load voltage, R e Is a receiving terminal equivalent resistance, R Load Is a load resistance, R S For receiving the internal resistance of the coil, j represents a plurality, I P The coil current at the transmitting end is M, and the mutual inductance value of the coils of the coupling mechanism is M.
In this embodiment, the coupling mechanism refers to the transmitting coil and the receiving coil in the compensation network.
The fourth concrete implementation mode: in this embodiment, a tuning method of a compensation capacitor of a wireless power transmission system based on a series compensation circuit according to a first embodiment is further described, in this embodiment, a harmonic coefficient of a compensation capacitance value of a transmitting end is expressed as:
Figure BDA0002790633640000063
in the formula, when the tuning coefficient k of the compensation capacitance value of the transmitting terminal is 1, the self-inductance of the compensation capacitance and the coil of the transmitting terminal is tuned, when k is more than 1 or k is less than 1, the self-inductance of the compensation capacitance and the coil of the transmitting terminal is tuned, omega is angular frequency, L P Is the self-inductance value of the coil at the transmitting end, C P The capacitance is compensated for the transmitting end.
The fifth concrete implementation mode: in this embodiment, the tuning method of the compensation capacitor of the wireless power transmission system based on the string compensation circuit according to the fourth embodiment is further described, in this embodiment, in step 4, the impedance angle is expressed as:
Figure BDA0002790633640000064
in the formula, R P Is the internal resistance of the transmitting end coil, R r θ is the impedance angle for the reflected impedance of the transmitting end.

Claims (5)

1. The method for tuning the compensation capacitor of the wireless power transmission system based on the series compensation circuit is characterized by comprising the following steps of:
step 1, obtaining a voltage gain module value of a receiving end equivalent resistor in a wireless electric energy transmission system of a string compensation circuit according to the wireless electric energy transmission system of the string compensation circuit;
step 2, when the transmitting end of the wireless electric energy transmission system of the series compensation circuit is in constant current control, automatically adjusting the capacitance value of a compensation capacitor of the receiving end by adopting a hill climbing algorithm, stopping adjusting the compensation capacitor of the receiving end when detecting that the voltage gain module value of the equivalent resistor of the receiving end reaches a preset value, wherein the offset coefficient of the compensation capacitor of the receiving end is equal to 1, and the self-inductance of the compensation capacitor of the receiving end and a coil of the receiving end is matched; when the transmitting end of the wireless electric energy transmission system of the series compensation circuit has no constant current control, the amplitude of the current of the coil of the transmitting end is transmitted to the coil of the receiving end in a wireless communication mode, the capacitance value of the compensation capacitor of the receiving end is automatically adjusted by adopting a hill climbing algorithm, so that the gain module value of the load voltage reaches a preset value, the bias coefficient of the compensation capacitor of the receiving end is equal to 1, and the self-induction matching of the compensation capacitor of the receiving end and the coil of the receiving end is realized;
step 3, after the adjustment in the step 2 is finished, the reflection impedance of the receiving end at the transmitting end becomes resistive, and an impedance angle of the output end of the inverter at the transmitting end looking towards the direction of the compensation network is obtained;
and 4, automatically adjusting the capacitance value of the compensation capacitor in the transmitting end, wherein when the impedance angle is detected to be zero, the compensation capacitor of the transmitting end is a harmonic capacitance value, and the harmonic coefficient of the compensation capacitor of the transmitting end is equal to 1, so that the tuning of the compensation capacitor of the receiving end and the compensation capacitor of the transmitting end is realized.
2. The method for tuning the compensation capacitor of the wireless power transmission system based on the series compensation circuit as claimed in claim 1, wherein in step 2, the tuning coefficient of the compensation capacitor at the receiving end is represented as:
Figure FDA0002790633630000011
in the formula, when the value of the harmonic coefficient k of the receiving end compensation capacitance value is 1, the self-inductance of the receiving end compensation capacitance and the receiving end coil is tuned, when k is greater than 1 or k is less than 1, the self-inductance of the receiving end compensation capacitance and the receiving end coil is tuned, omega is angular frequency, and L is S Is a self-inductance value of the receiving end coil, C S The capacitance is compensated for the receiving end.
3. The method for tuning the compensation capacitor of the wireless power transmission system based on the string compensation circuit according to claim 1, wherein in step 1, the voltage gain module value of the equivalent resistor at the receiving end is represented as:
Figure FDA0002790633630000012
in the formula (I), the compound is shown in the specification,
Figure FDA0002790633630000021
v e is the voltage of the equivalent resistance of the receiving terminal, V Load Is the load voltage, R e Is the receiving end equivalent resistance, R Load Is a load resistance, R S For receiving the internal resistance of the coil, j represents a plurality, I P The coil current at the transmitting end is M, and the mutual inductance value of the coils of the coupling mechanism is M.
4. The method for tuning the compensation capacitor of the wireless power transmission system based on the string compensation circuit according to claim 1, wherein the tuning coefficient of the compensation capacitor at the transmitting end is expressed as:
Figure FDA0002790633630000022
in the formula, when the tuning coefficient k of the compensation capacitance value of the transmitting terminal is 1, the self-inductance of the compensation capacitance and the coil of the transmitting terminal is tuned, when k is more than 1 or k is less than 1, the self-inductance of the compensation capacitance and the coil of the transmitting terminal is tuned, omega is angular frequency, L P Is the self-inductance value of the coil at the transmitting end, C P The capacitance is compensated for the transmitting end.
5. The method for tuning the compensation capacitor of the wireless power transmission system based on the string compensation circuit according to claim 4, wherein in step 4, the impedance angle is expressed as:
Figure FDA0002790633630000023
in the formula, R P Is the internal resistance of the transmitting end coil, R r θ is the reflection impedance of the transmitting end, and θ is the impedance angle.
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