CN111082543B - Anti-offset CLC-S type wireless power transmission system and parameter design method thereof - Google Patents

Anti-offset CLC-S type wireless power transmission system and parameter design method thereof Download PDF

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CN111082543B
CN111082543B CN201911391461.5A CN201911391461A CN111082543B CN 111082543 B CN111082543 B CN 111082543B CN 201911391461 A CN201911391461 A CN 201911391461A CN 111082543 B CN111082543 B CN 111082543B
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compensation
clc
coil
compensation capacitor
wireless power
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CN111082543A (en
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杜贵平
沈栋
曾炜
李俊杰
杨子江
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South China University of Technology SCUT
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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
    • H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
    • H02J50/12—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
    • 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
    • H02J50/70—Circuit arrangements or systems for wireless supply or distribution of electric power involving the reduction of electric, magnetic or electromagnetic leakage fields

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Abstract

The invention discloses an anti-offset CLC-S type wireless power transmission system and a parameter design method thereof, wherein the anti-offset CLC-S type wireless power transmission system comprises a full-bridge inversion module, an LC filter module, a primary CLC compensation network, a transmission coil, a secondary compensation network and a load; the full-bridge inversion module can generate high-frequency alternating-current square waves and provide electric energy input for the system; the LC filtering module is respectively connected with the full-bridge inversion module and the primary side CLC compensation network and filters harmonic components except the fundamental frequency component in the input square wave; the primary side CLC compensation network is connected with the primary side coil in the transmission coil, and element parameter design is carried out on the primary side CLC compensation network through a proper method, so that the wireless power transmission system can keep the output power of the system to be relatively stable in a wider coupling coefficient range. And the secondary compensation network forms series resonance with a secondary coil in the transmission coil, and finally transmits the electric energy to the load. The system can realize stable power output in a wider coupling coefficient range, and is beneficial to improving the anti-offset capability.

Description

Anti-offset CLC-S type wireless power transmission system and parameter design method thereof
Technical Field
The invention relates to the technical field of wireless power transmission, in particular to an anti-offset CLC-S type wireless power transmission system and a parameter design method thereof.
Background
The magnetic coupler is usually used as a carrier for realizing energy transmission from a transmitting end to a receiving end in a wireless power transmission system, and in a static charging process, a transmitting coil and a receiving coil are often difficult to realize complete alignment. Generally, the larger the offset between the coils is, the smaller the coupling coefficient thereof is, and meanwhile, the change of the coupling coefficient directly causes the square multiple reduction of the reflection impedance, further causing the output of the wireless power transmission system to generate larger fluctuation. Meanwhile, compared with static charging, dynamic wireless charging needs to face the problem of rapid change of coupling coefficient, which is obviously reflected in sectional charging. In the dynamic charging process, it is often difficult to realize fast adjustment of output power by means of communication at the transmitting and receiving sides, so that it is more desirable that the wireless power transmission system can realize self-adjustment of coupling coefficient change through its own system parameters.
In order to enable the wireless power transmission system to have the self-adjusting capability on the change of the coupling coefficient, researchers propose a plurality of new solutions in the directions of magnetic coupler optimization, novel topological structure, compensation parameter optimization and the like so as to improve the detuning performance when the coupling coefficient changes. DD. The novel magnetic couplers such as DDQ and the like can effectively improve the balance degree of a magnetic field, and the fluctuation of the magnetic coupling coefficient is still kept within an acceptable range under the condition that the magnetic couplers generate physical deviation. When the coupling coefficient changes, the output characteristics of different compensation topologies show different change trends, and the output of the wireless power transmission system can be controlled to be relatively constant by carrying out topology mixing on the S-LCC and the LCC-S. In addition, the detuning performance of the system can be improved by additionally arranging an additional coil with reasonable parameters.
With further complication of the structure of the magnetic coupler, the problems of weight increase, copper consumption increase, difficult production and the like exist; the hybrid topology and the additional coil can make the design of the wireless power transmission system more complicated, and the problem of difficult design of the magnetic coupler exists. The compensation parameter optimization can realize stable output characteristics within a wide coupling coefficient range by the optimization design of the compensation network parameters under the condition that the magnetic coupler and the system topological structure do not need to be changed at all, and has outstanding practical value. By adjusting the compensation network parameters of the SS topology, the system works in a detuning state, and the transmission power can be controlled within an effective mismatch range. Under the appropriate compensation parameters, different detuning characteristics of SS and PS to the coupling coefficient change are utilized to provide a novel SPS topological structure, and the wide coupling coefficient adjusting performance within the detuning offset range of 25% is realized. For LCC and T-type topologies, the compensation parameter selection mode proposed by the literature realizes stable output of a wireless power transmission system in a larger coupling coefficient range, but the method has the problems of complex parameter design process and the like.
Disclosure of Invention
The invention aims to overcome the defects and shortcomings of the prior art and provides an anti-offset CLC-S type wireless power transmission system and a parameter design method thereof. When the mutual inductance between the coils is changed due to physical deviation of the coils, namely the coupling coefficient between the coils is changed, the wireless power transmission system can still realize that the fluctuation of the output power is within an allowable error range through self-regulation of the compensation network, so that the problem that the fluctuation of the output power of the system is large when the coils of the traditional CLC-S type wireless power transmission system are deviated is solved.
In order to achieve the purpose, the technical scheme provided by the invention is as follows: the anti-offset CLC-S type wireless power transmission system comprises a full-bridge inversion module, an LC filter module, a primary CLC compensation network, a transmission coil, a secondary CLC compensation network and a load; the full-bridge inversion module comprises a direct-current voltage source and an inversion circuit consisting of a first switch tube, a second switch tube, a third switch tube and a fourth switch tube, wherein the positive electrode of the direct-current voltage source is respectively connected with the first switch tube and the third switch tube, the negative electrode of the direct-current voltage source is respectively connected with the second switch tube and the fourth switch tube, the first switch tube is connected with the second switch tube, and the third switch tube is connected with the fourth switch tube; two output ends of the full-bridge inversion module generate high-frequency square wave alternating current, wherein one output end is connected with the LC filtering module to filter harmonic components except for fundamental frequency components in the input square wave; the output end of the LC filter module and the other output end of the full-bridge inversion module jointly form alternating current input of the wireless power transmission system, and sine wave alternating current of working frequency is provided for the system; the primary side CLC compensation network consists of a first compensation capacitor, a second compensation capacitor and a compensation inductor; the transmission coil consists of a primary coil and a secondary coil; the output end of the LC filter module is connected with a first compensation capacitor, the other output end of the full-bridge inversion module is respectively connected with a compensation inductor and a primary coil, and the compensation inductor is respectively connected with the first compensation capacitor and a second compensation capacitorThe second compensation capacitor is connected with the primary side coil; the mutual inductance between the primary coil and the secondary coil is M, the mutual inductance M determined at will in the actual process corresponds to a determined coupling coefficient k, and the two satisfy the following conditions:
Figure BDA0002345087560000031
wherein L is2And L3The coil self-inductance values of the primary coil and the secondary coil are respectively; the secondary side coil is connected with the secondary side compensation network to form a series compensation network together; the secondary side compensation network consists of a third compensation capacitor; and the load is respectively connected with the third compensation capacitor and the secondary coil.
Further, the LC filter module is composed of a filter inductor and a filter capacitor connected in series, and satisfies the relationship:
Figure BDA0002345087560000032
wherein L isfAs inductance value of filter inductor, CfFor the capacitance value of the filter capacitor, ω is the system angular frequency, and ω is 2 π fc，fcThe working frequency of the full-bridge inverter module is set at the working frequency fcSeries resonance occurs below the power supply, so that redundant harmonic components are filtered, and sine wave alternating current is provided for the wireless power transmission system.
Further, the working frequency f of the full-bridge inversion modulecThe secondary coil and the third compensation capacitor form a series resonant circuit which satisfies
Figure BDA0002345087560000041
Wherein L is3Is the self-inductance value of the secondary coil, C3The capacitance value of the third compensation capacitor, ω is the system angular frequency, and ω is 2 π fcA series resonant circuit composed of a secondary coil and a third compensation capacitor at the working frequency fcThe lower equivalent impedance is 0.
Further, the quality factor Q of the RLC series resonance circuit consisting of the secondary coil, the third compensation capacitor and the load is in the range of 5-20, wherein
Figure BDA0002345087560000042
Wherein R isLIs the resistance value of the load, L3Is the self-inductance value of the secondary coil, omega is the system angular frequency, and meets the condition that omega is 2 pi fc。
The invention also provides a parameter design method of the anti-deviation CLC-S type wireless power transmission system, which comprises the following steps:
1) an LC branch consisting of a primary coil and a second compensation capacitor is considered as a series topology, C2RThe capacitance value of the second compensation capacitor when the primary coil and the second compensation capacitor are completely resonant should be:
Figure BDA0002345087560000043
setting a manipulated variable K1Let the actually selected capacitance value C of the second compensation capacitor2Satisfies C2＝K1C2RAt this time, there is K1＜1；
2) The capacitance value of an equivalent capacitor of an LC branch circuit consisting of a primary coil and a second compensation capacitor is set as C5Then, there are:
Figure BDA0002345087560000044
note L1RIs at C1L which makes the equivalent input impedance of the system appear resistive when being equal to 01An inductance value of (1), wherein L1To compensate for the inductance value of the inductor, the equivalent input impedance Z' of the system is then at this pointinExpressed as:
Figure BDA0002345087560000045
equivalent input impedance Z' of the command systeminIs 0, then there is:
Figure BDA0002345087560000051
to obtain
Figure BDA0002345087560000052
Setting a manipulated variable K2Let the inductance value L of the actually selected compensation inductor1Satisfy L1＝K2L1RAt this time, there is K2＜1；
3) Note L1、C2、L2And ZrFormed with an equivalent impedance of ZTPSWherein
Figure BDA0002345087560000053
Then there are:
Figure BDA0002345087560000054
to make the equivalent input impedance of the system exhibit pure resistance characteristics, there are:
Figure BDA0002345087560000055
at this time, the equivalent input impedance Z of the systeminComprises the following steps:
Figure BDA0002345087560000056
4) obtaining the current of each branch according to the series-parallel relation of each branch as follows:
Figure BDA0002345087560000057
Figure BDA0002345087560000058
Figure BDA0002345087560000059
wherein, IC1Is the current flowing on the first compensation capacitor, IL2Is the current flowing through the primary winding, IRLIs the current flowing on the load;
reflected impedance received transmission power PtranOutput power P of the systemoEqual, then there are:
Po＝Ptran＝|IL1|2Zr
5) a maximum allowable fluctuation range a is set,
Figure BDA0002345087560000061
wherein P isaIs the actual output power, the actual output power P is observedaWhether the output power P is within the expected coupling coefficient k or not can be realizedoError of (d) is less than Δ; if the output power P is within the expected coupling coefficient k, the output power P is equal to the originally set output power PoIf the error is less than Δ, then the proposed free variable K is indicated1And K2The design requirements are met; if not, the parameter design work of the compensation element is carried out again according to the steps 1) to 4).
Compared with the prior art, the invention has the following advantages and beneficial effects:
according to the system, through the optimization design of the primary side CLC compensation network element parameters, the electric energy in the primary side coil can be automatically adjusted along with the mutual inductance change caused by the coil offset, so that the output power of the wireless electric energy transmission system is maintained within an allowable error range, and the problem that the output power of the system fluctuates greatly when the coil offset occurs in the traditional CLC-S type wireless electric energy transmission system is solved.
Drawings
Fig. 1 is a schematic circuit diagram of an anti-offset CLC-S type wireless power transmission system according to the present invention.
Fig. 2 is a graph illustrating output power characteristics of a wireless power transmission system according to the present invention within a desired coupling coefficient range.
Fig. 3 is a simulation waveform diagram when the coil of the wireless power transmission system of the present invention is completely aligned.
Fig. 4 is a waveform diagram of a simulation of a coil of a wireless power transmission system when a maximum offset is reached.
Detailed Description
The present invention will be further described with reference to the following specific examples.
As shown in fig. 1, the anti-offset CLC-S wireless power transmission system provided in this embodiment includes a full-bridge inverter module I, LC, a filtering module II, a primary CLC compensation network III, a transmission coil IV, a secondary CLC compensation network V, and a load RL(ii) a Wherein, the full-bridge inversion module I is composed of a DC voltage source UdcAnd a first switch tube S1A second switch tube S2A third switch tube S3And a fourth switching tube S4The inverter circuit is composed of the DC voltage source UdcRespectively with the first switch tube S1And a third switching tube S3Connected to said DC voltage source UdcRespectively with the second switching tube S2And a fourth switching tube S4Connection, the first switching tube S1And a second switch tube S2Connection, the third switching tube S3And a fourth switching tube S4Connecting; two output ends of the full-bridge inversion module I generate high-frequency square wave alternating current, wherein one output end 1 is connected with the LC filtering module II to filter harmonic components except fundamental frequency components in input square waves; the output end 2 of the LC filter module II and the other output end 1' of the full-bridge inversion module I jointly form an alternating current input of the wireless power transmission system, and can provide sine wave alternating current of working frequency for the system; the primary side CLC compensation network III consists of a first compensation capacitor C1A second compensation capacitor C2And a compensation inductance L1Composition is carried out; the transmission coil IV is composed of a primary coil L2And a secondary winding L3Composition is carried out; output end 2 of LC filter module II and first compensation capacitor C1Connected, the other output end 1' of the full-bridge inversion module I is respectively connected with the complementInductance L1And a primary coil L2Connection, the compensation inductance L1Respectively connected with the first compensation capacitor C1And a second compensation capacitor C2Connected, the second compensation capacitor C2And a primary coil L2Connecting; the primary coil L2And secondary winding L3The mutual inductance between the two groups is M, the mutual inductance M determined at will in the actual process corresponds to a determined coupling coefficient k, and the two groups meet the following conditions:
Figure BDA0002345087560000071
wherein L is2And L3Are respectively primary side coil L2And a secondary winding L3The coil self-inductance value of (1); the secondary coil L3The secondary side compensation network V is connected with the primary side compensation network V to form a series compensation network; the secondary side compensation network V is composed of a third compensation capacitor C3Composition is carried out; the load RLRespectively connected with the third compensation capacitor C3And a secondary winding L3Are connected.
The LC filter module II consists of a filter inductor and a filter capacitor which are connected in series, and satisfies the following relation:
Figure BDA0002345087560000072
wherein L isfAs inductance value of filter inductor, CfFor the capacitance value of the filter capacitor, ω is the system angular frequency, and ω is 2 π fc，fcIs the working frequency of the full-bridge inverter module I, and is at the set working frequency fcSeries resonance occurs below the power supply, so that redundant harmonic components are filtered, and sine wave alternating current is provided for the wireless power transmission system.
Operating frequency f of full-bridge inverter module IcThe secondary coil and the third compensation capacitor form a series resonant circuit which satisfies
Figure BDA0002345087560000081
Wherein L is3Is the self-inductance value of the secondary coil, C3The capacitance value of the third compensation capacitor, ω is the system angular frequency, and ω is 2 π fcSecondary winding and third compensation windingCapacitive series resonant circuit at operating frequency fcThe lower equivalent impedance is 0.
The quality factor Q of the RLC series resonance circuit consisting of the secondary coil, the third compensation capacitor and the load is in the range of 5-20, wherein
Figure BDA0002345087560000082
Wherein R isLIs the resistance value of the load, L3Is the self-inductance value of the secondary coil, omega is the system angular frequency, and meets the condition that omega is 2 pi fc。
The following is a parameter design method of the anti-migration CLC-S type wireless power transmission system of the present embodiment, including the following steps:
1) a primary coil L2And a second compensation capacitor C2The LC branch circuit is regarded as a series topology, C2RIs a primary coil L2And a second compensation capacitor C2The second compensation capacitor C is in full resonance2Then at full resonance there should be:
Figure BDA0002345087560000083
setting a manipulated variable K1Let the actually selected second compensation capacitor C2Has a capacitance value satisfying C2＝K1C2RAt this time, there is K1＜1；
2) Setting a primary coil L2And a second compensation capacitor C2The capacitance value of the equivalent capacitor of the LC branch circuit is C5Then, there are:
Figure BDA0002345087560000084
note L1RIs at C1L which makes the equivalent input impedance of the system appear resistive when being equal to 01An inductance value of (1), wherein L1To compensate for the inductance value of the inductor, the equivalent input impedance Z' of the system is then at this pointinExpressed as:
Figure BDA0002345087560000091
equivalent input impedance Z' of the command systeminIs 0, then there is:
Figure BDA0002345087560000092
to obtain
Figure BDA0002345087560000093
Setting a manipulated variable K2Let the actually selected compensation inductance L1The inductance value of (A) satisfies L1＝K2L1RAt this time, there is K2＜1；
3) Note L1、C2、L2And ZrFormed with an equivalent impedance of ZTPSWherein
Figure BDA0002345087560000094
Then there are:
Figure BDA0002345087560000095
to make the equivalent input impedance of the system exhibit pure resistance characteristics, there are:
Figure BDA0002345087560000096
at this time, the equivalent input impedance Z of the systeminComprises the following steps:
Figure BDA0002345087560000097
4) obtaining the current of each branch according to the series-parallel relation of each branch as follows:
Figure BDA0002345087560000098
Figure BDA0002345087560000099
Figure BDA00023450875600000910
wherein, IC1Is a first compensation capacitor C1Current flowing in, IL2Is a primary coil L2Current flowing in, IRLIs a load RLThe current flowing therethrough;
reflected impedance received transmission power PtranOutput power P of the systemoEqual, then there are:
Po＝Ptran＝|IL1|2Zr
5) a maximum allowable fluctuation range a is set,
Figure BDA0002345087560000101
wherein P isaIs the actual output power, the actual output power P is observedaWhether the output power P is within the expected coupling coefficient k or not can be realizedoError of (d) is less than Δ; if the output power P is within the expected coupling coefficient k, the output power P is equal to the originally set output power PoIf the error is less than Δ, then the proposed free variable K is indicated1And K2The design requirements are met; if not, the parameter design work of the compensation element is carried out again according to the steps 1) to 4).
According to the above design steps, a CLC-S type wireless power transmission system with offset resistance and a parameter design sample thereof are given, and the direct current input voltage V is knowndc220V, the operating frequency of the system, i.e. the switching frequency fc200kHz, duty ratio D0.5, load R of wireless power transmission systemL5 Ω, quality factor Q of load circuit 14.5, self-energizing of transmitter coilFeeling is L263.1uH, the self-inductance of the receiving coil is L357.6uH, filter inductance Lf316uH, filter capacitance CfThe expected coupling coefficient interval is 0.23 < k < 0.35, the expected range of the mutual inductance between coils is 13.87uH < M < 21.10uH, the maximum allowable error fluctuation range delta is 10%, and other parameter values can be obtained according to the anti-offset CLC-S type wireless power transmission system and the parameter design method thereof:
a. compensation capacitor C1＝17.18nF
b. Compensation inductance L1＝223.02uH
c. Compensation capacitor C2＝6.53nF
d. Compensation capacitor C3＝11.03nF
The output power characteristic curve within the expected coupling coefficient interval as shown in fig. 2 can be obtained by performing numerical simulation on the wireless power transmission system by using Matlab numerical simulation software. When the coupling coefficient k is 0.35, the coils are completely aligned, no offset phenomenon exists, and the output power P is outputo275W and observing the output characteristic curve, the actual output power P is within the expected coupling coefficient intervalaThe maximum value of 292W and the minimum value of 262W, the maximum error fluctuation range of 6.2 percent and less than 10 percent, so that the parameter design of the wireless power transmission system can meet the design requirement.
When the coils are completely aligned, the coupling coefficient k is 0.35, the mutual inductance M between the coils is 21.10uH, the simulated waveform of the system is as shown in fig. 3, and the load current I of the wireless power transmission system can be seenRLIs in sine wave, and the output power P of the system is at the momenta＝275W。
When the coil reaches the maximum deviation, the coupling coefficient k is 0.23, the mutual inductance between the coils is 13.87uH, the simulation waveform of the system is as shown in fig. 4, and it can be seen that the load current I of the wireless power transmission system isRLIs in sine wave, and the output power P of the system is at the momenta＝262W。
The simulation result shows that the anti-offset CLC-S type wireless power transmission system and the parameter design method thereof can meet the expected purpose, the parameters of the primary CLC compensation network element are optimally designed, so that the electric energy in the primary coil can be automatically adjusted along with the mutual inductance change caused by the offset of the coil, and the output power of the wireless power transmission system is further maintained within an allowable error range, thereby solving the problem that the output power of the system fluctuates greatly when the coil of the traditional CLC-S type wireless power transmission system is offset, and being worthy of popularization.
The above-mentioned embodiments are merely preferred embodiments of the present invention, and the scope of the present invention is not limited thereto, so that the changes in the shape and principle of the present invention should be covered within the protection scope of the present invention.

Claims (4)

1. The parameter design method of the anti-offset CLC-S type wireless power transmission system comprises a full-bridge inversion module (I), an LC filter module (II), a primary side CLC compensation network (III), a transmission coil (IV), a secondary side compensation network (V) and a load (R)L) (ii) a Wherein the full-bridge inversion module (I) is driven by a DC voltage source (U)dc) And a first switch tube (S)1) A second switch tube (S)2) And a third switching tube (S)3) And a fourth switching tube (S)4) Formed by an inverter circuit, the DC voltage source (U)dc) Respectively with the first switch tube (S)1) And a third switching tube (S)3) Connected to said direct voltage source (U)dc) Respectively with the second switching tube (S)2) And a fourth switching tube (S)4) Connected, the first switching tube (S)1) And a second switch tube (S)2) Connected, the third switching tube (S)3) And a fourth switching tube (S)4) Connecting; two output ends of the full-bridge inversion module (I) generate high-frequency square wave alternating current, wherein one output end (1) is connected with the LC filtering module (II) to filter harmonic components except fundamental frequency components in the input square wave; the output end (2) of the LC filter module (II) and the other output end (1') of the full-bridge inversion module (I) jointly form the alternating current input of the wireless power transmission system to provide work for the systemSine wave alternating current of frequency; the primary CLC compensation network (III) is composed of a first compensation capacitor (C)1) A second compensation capacitor (C)2) And compensation inductance (L)1) Composition is carried out; the transmission coil (IV) is composed of a primary coil (L)2) And a secondary winding (L)3) Composition is carried out; an output end (2) of the LC filter module (II) and a first compensation capacitor (C)1) The other output end (1') of the full-bridge inversion module (I) is respectively connected with a compensation inductor (L)1) And primary side coil (L)2) Connection, the compensation inductance (L)1) Respectively connected with the first compensation capacitor (C)1) And a second compensation capacitor (C)2) Connected, the second compensation capacitance (C)2) And the primary coil (L)2) Connecting; the primary coil (L)2) And secondary winding (L)3) The mutual inductance between the two groups is M, the mutual inductance M determined at will in the actual process corresponds to a determined coupling coefficient k, and the two groups meet the following conditions:
Figure FDA0002882222000000011
wherein L is2And L3Are respectively primary side coils (L)2) And a secondary winding (L)3) The coil self-inductance value of (1); the secondary winding (L)3) Is connected with the secondary side compensation network (V) to jointly form a series compensation network; the secondary side compensation network (V) is composed of a third compensation capacitor (C)3) Composition is carried out; the load (R)L) Respectively connected with the third compensation capacitor (C)3) And a secondary winding (L)3) Connecting;
the method is characterized in that the parameter design method of the CLC-S type wireless power transmission system comprises the following steps:
1) primary side coil (L)2) And a second compensation capacitor (C)2) The LC branch circuit is regarded as a series topology, C2RIs a primary coil (L)2) And a second compensation capacitor (C)2) The second compensation capacitor (C) is fully resonant2) Then at full resonance there should be:
Figure FDA0002882222000000021
setting a manipulated variable K1Let the second compensation capacitor (C) actually selected2) Capacitance value C of2Satisfies C2＝K1C2RAt this time, there is K1＜1；
2) Provided with a primary coil (L)2) And a second compensation capacitor (C)2) The capacitance value of the equivalent capacitor of the LC branch circuit is C5Then, there are:
Figure FDA0002882222000000022
note L1RIs at C1L which makes the equivalent input impedance of the system appear resistive when being equal to 01An inductance value of (1), wherein L1To compensate for inductance (L)1) Inductance value of, RLIs a load (R)L) The equivalent input impedance Z' of the system at this timeinExpressed as:
Figure FDA0002882222000000023
equivalent input impedance Z' of the command systeminIs 0, then there is:
Figure FDA0002882222000000024
to obtain
Figure FDA0002882222000000025
Setting a manipulated variable K2Let the compensation inductance (L) actually selected1) Inductance value L of1Satisfy L1＝K2L1RAt this time, there is K2＜1；
3) Note L1、C2、L2And ZrFormed with an equivalent impedance of ZTPSWherein
Figure FDA0002882222000000031
Then there are:
Figure FDA0002882222000000032
to make the equivalent input impedance of the system exhibit pure resistance characteristics, there are:
Figure FDA0002882222000000033
at this time, the equivalent input impedance Z of the systeminComprises the following steps:
Figure FDA0002882222000000034
4) obtaining the current of each branch according to the series-parallel relation of each branch as follows:
Figure FDA0002882222000000035
Figure FDA0002882222000000036
Figure FDA0002882222000000037
wherein, IC1Is a first compensation capacitor (C)1) Current flowing in, IL2Is a primary coil (L)2) Current flowing in, IRLIs a load (R)L) The current flowing therethrough;
reflected impedance received transmission power PtranOutput power P of the systemoEqual, then there are:
Po＝Ptran＝|IL1|2Zr
5) a maximum allowable fluctuation range a is set,
Figure FDA0002882222000000038
wherein P isaIs the actual output power, the actual output power P is observedaWhether the output power P is within the expected coupling coefficient k or not can be realizedoError of (d) is less than Δ; if the output power P is within the expected coupling coefficient k, the output power P is equal to the originally set output power PoIf the error is less than Δ, then the proposed free variable K is indicated1And K2The design requirements are met; if not, the parameter design work of the compensation element is carried out again according to the steps 1) to 4).
2. The parameter design method of an anti-migration CLC-S type wireless power transmission system according to claim 1, characterized in that: the LC filter module (II) is composed of filter inductors (L) connected in seriesf) And a filter capacitor (C)f) A composition that satisfies the relationship:
Figure FDA0002882222000000041
wherein L isfIs a filter inductor (L)f) Inductance value of, CfIs a filter capacitor (C)f) ω is the system angular frequency, and ω is 2 pi fc，fcThe working frequency of the full-bridge inversion module (I) is set at the working frequency fcSeries resonance occurs below the power supply, so that redundant harmonic components are filtered, and sine wave alternating current is provided for the wireless power transmission system.
3. The parameter design method of an anti-migration CLC-S type wireless power transmission system according to claim 1, characterized in that: at the operating frequency f of the full-bridge inverter module (I)cLower, the secondary winding (L)3) And a third compensation capacitor (C)3) Constitute a series resonant circuit which satisfies
Figure FDA0002882222000000042
Wherein L is3Is a secondary coil (L)3) Self-inductance value of C3Is a third compensation capacitor (C)3) ω is the system angular frequency, and ω is 2 pi fcSecondary winding (L)3) And a third compensation capacitor (C)3) Forming a series resonant circuit at the operating frequency fcThe lower equivalent impedance is 0.
4. The parameter design method of an anti-migration CLC-S type wireless power transmission system according to claim 1, characterized in that: the secondary winding (L)3) A third compensation capacitor (C)3) And a load (R)L) The quality factor Q of the RLC series resonant circuit is in the range of 5-20
Figure FDA0002882222000000043
Wherein R isLIs a load (R)L) Resistance value of L3Is a secondary coil (L)3) ω is the system angular frequency, and ω is 2 pi fc，fcThe working frequency of the full-bridge inversion module (I).
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