CN106849372B - ECPT system and its Parameters design based on bilateral F-LCLC resonant network - Google Patents

ECPT system and its Parameters design based on bilateral F-LCLC resonant network Download PDF

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CN106849372B
CN106849372B CN201710143436.XA CN201710143436A CN106849372B CN 106849372 B CN106849372 B CN 106849372B CN 201710143436 A CN201710143436 A CN 201710143436A CN 106849372 B CN106849372 B CN 106849372B
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resonant
inductance
lclc
resonant network
voltage
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CN106849372A (en
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苏玉刚
谢诗云
孙跃
唐春森
叶兆虹
王智慧
戴欣
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Chongqing Huachuang Intelligent Technology Research Institute Co ltd
Wang Zhihui
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Chongqing University
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Abstract

The present invention provides a kind of ECPT system and its Parameters design based on bilateral F-LCLC resonant network, including DC power supply, high-frequency inverter circuit, booster type F-LCLC resonant network, by compensation inductance LsAnd coupling unit, voltage-dropping type F-LCLC resonant network, current rectifying and wave filtering circuit and load R that two pairs of coupling plates are constitutedL, which realizes when loading resistance value and changing in a certain range, and output voltage is held essentially constant, while guaranteeing that system operates in ZPA state, is increased communication and adjusting control circuit without additional, is effectively reduced the cost and complexity of system.

Description

ECPT system and its Parameters design based on bilateral F-LCLC resonant network
Technical field
The present invention relates to wireless power transmission technical fields, and in particular to a kind of based on bilateral F-LCLC resonant network ECPT system and its Parameters design.
Background technique
Wireless power transmission (Wireless Power Transfer, WPT) technology is by magnetic field, electric field, microwave, ultrasound The media such as wave transmit electric energy as energy carrier, which has been subjected to the extensive concern of domestic and international experts and scholars, at present It is unfolded to study in application fields such as electric vehicle, household electrical appliance, medical instrument, underwater detectoscope, smart homes, and achieves many Achievement.ECPT (Electric-field Coupled Power Transfer) system is a kind of using metal polar plate as coupling Mechanism, high-frequency electric field are the wireless power transmission technology of energy carrier.It is light with coupling mechanism, peripheral conductor will not be generated Many advantages, such as eddy-current loss, preferable Electro Magnetic Compatibility, therefore fill/power in electric vehicle, portable electronic product, LED illumination Equal numerous areas have good application prospect.Current experts and scholars both domestic and external are in the high-frequency inverter design of ECPT system, coupling Close the compensation of mechanism, export pressure stabilizing control, energy and signal synchronous transfer, system tunning, transmit spacing amplification etc. has been obtained Obtained numerous research achievements.
In ECPT systematic difference, quite a few electrical equipment needs to operate under stable operating voltage, however The load of electrical equipment may change in the process of running.This requires when output loading changes, system Output voltage is able to maintain that constant.It makes a general survey of the existing ECPT system with constant voltage output characteristic or needs connecing in system Receiving end setting detection telecommunication circuit feeds back output voltage values to transmitting terminal, to adjust the control circuit of transmitting terminal;It needs High frequency transformer come realize impedance transformation to obtain constant voltage output.The presence of closed control circuit or high frequency transformer will make System is complex and higher cost;In addition, when load resistance value changes, the transmitting terminal resonance circuit of existing ECPT system Can not work at ZPA state (Zero Phase Angle, ZPA), thus the power factor of the system that will cause is reduced and The soft hand-over frequency of inverter drifts about.
Summary of the invention
The application by providing a kind of ECPT system and its Parameters design based on bilateral F-LCLC resonant network, with Solve the problems, such as that structure is complicated, at high cost for circuit system caused by constant voltage output characteristic in the prior art in order to obtain, and Transmitting terminal resonance circuit, which cannot work, causes power factor reduction and the soft hand-over frequency hair of inverter of system in ZPA state The technical issues of raw drift.
In order to solve the above technical problems, the application is achieved using following technical scheme:
A kind of ECPT system based on bilateral F-LCLC resonant network, including DC power supply, high-frequency inverter circuit, booster type F-LCLC resonant network, by compensation inductance LsWith two pairs of coupling plates constitute coupling unit, voltage-dropping type F-LCLC resonant network, Current rectifying and wave filtering circuit and load RL, wherein the DC power supply is changed into alternating voltage via the high-frequency inverter circuit, institute Booster type F-LCLC resonant network is stated by resonant inductance L1t, resonant inductance L2t, resonant capacitance C1tAnd resonant capacitance C2tComposition, The resonant inductance L1tOne end and the resonant inductance L2tOne end connection, the resonant inductance L1tThe other end connect institute State the first output end of high-frequency inverter circuit, the resonant inductance L2tThe other end pass through the compensation inductance LsConnect one piece of hair Emitter-base bandgap grading plate, the resonant capacitance C1tOne end be connected to the resonant inductance L1tWith the resonant inductance L2tBetween, the resonance Capacitor C1tThe other end connect the second output terminal of the high-frequency inverter circuit, the resonant capacitance C2tOne end be connected to institute State resonant inductance L2tWith the compensation inductance LsBetween, the resonant capacitance C2tThe other end connect another piece of transmitting pole plate, institute Voltage-dropping type F-LCLC resonant network is stated by resonant inductance L1p, resonant inductance L2p, resonant capacitance C1pAnd resonant capacitance C2pComposition, The resonant inductance L1pOne end and the resonant inductance L2pOne end connection, the resonant inductance L1pThe other end connection one Block receives pole plate, the resonant inductance L2pThe other end connect the first input end of the current rectifying and wave filtering circuit, the resonance electricity Hold C1pOne end be connected to the resonant inductance L1pWith the resonant inductance L2pBetween, the resonant capacitance C1pThe other end connect Another piece of reception pole plate is connect, transmitting pole plate couples realization energy wireless transmission, the resonant capacitance with pole plate one-to-one correspondence is received C2pBoth ends be separately connected the first input end and the second input terminal of the current rectifying and wave filtering circuit, in the current rectifying and wave filtering circuit The load R is connected between two output endsL
In order to reduce the weight, volume and electromagnetic radiation of inductance, the resonant inductance L1t, resonant inductance L2t, resonance electricity Feel L1p, resonant inductance L2pAnd compensation inductance LsIt is all made of high frequency magnetic powder core coiling.
Further, the resonant inductance L1t, resonant inductance L2t, resonant inductance L1p, resonant inductance L2pAnd compensation inductance LsInductance value be not less than 1 μ H.
A kind of Parameters design of the ECPT system based on bilateral F-LCLC resonant network, includes the following steps:
S1: the working frequency f of the system and the equivalent series capacitance of coupling unit are determined according to the demand of application scenarios Cs, load RLAnd output power Pout
S2: the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determinedpUpper limit value;
S3: the quality factor q of voltage-dropping type F-LCLC resonant network is determinedpRange, and select QpValue;
S4: the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determinedpLower limit value, and then select σpValue;
S5: its quality factor q is determined according to the sensitivity to parameter of booster type F-LCLC resonant networktUpper limit value;
S6: selection booster type F-LCLC resonant network quality factor qtInitial value;
S7: the capacity ratio σ of booster type F-LCLC resonant network is determinedtValue range;
S8: the capacity ratio σ of needs is judged whether there ist, if it is, entering step S10, otherwise, enter step S9;
S9: reduce capacity ratio σtValue, and the S8 that gos to step;
S10: system parameter is determined.
Further, capacity ratio σ is determined in step S2 according to the following formulapUpper limit value:
In formula, σpFor capacity ratio,Qp0C2pRe, ω0=2 π f0For its natural resonance angular frequency, ReFor Current rectifying and wave filtering circuit and load RLEquivalent resistance, and Re2RL/ 8, the variation percentage of equivalent load resistance valueR'eFor the equivalent resistance of current rectifying and wave filtering circuit and load after load variation, a is equivalent output electricity The variation percent delta U of pressureeUpper limit value,UeFor the equivalent output electricity before load variation Pressure, U'eFor the equivalent output voltage after load variation, RsFor the equivalent resistance of coupling unit dielectric lossWith compensation inductance Ls Equal series resistanceThe sum of.
Further, quality factor q is determined according to following formula in step S3pRange:
In formula, THDrFor the total harmonic distortion rate of rectifier bridge input voltage, k=Rs/Re, m is the order of higher hamonic wave.
Further, the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determined in step S4 according to following formulapLower limit Value:
In formula,
ZinFor the input impedance of voltage-dropping type F-LCLC resonant network, ωnFor normalized frequency,ω is decompression The working frequency of type F-LCLC resonant network, ω0=2 π f0For its natural resonance angular frequency, and meetInductance ratio
Further, in step S7 booster type F-LCLC resonant network capacity ratio σtValue range are as follows:
Further, system parameter is determined by following formula in step S10:
Qp0C2pRe;Qt0C2tR2
Under resonant state:
R2For the equivalent inpnt resistance value of receiving unit under resonance frequency.
As a kind of perferred technical scheme, a=2%.
Compared with prior art, technical solution provided by the present application, the technical effect or advantage having are: realizing when negative When load resistance value changes in a certain range, output voltage is held essentially constant, while guaranteeing that system operates in ZPA state, is not necessarily to It is additional to increase communication and adjusting control circuit, effectively reduce the cost and complexity of system.
Detailed description of the invention
Fig. 1 is the ECPT system topological based on bilateral F-LCLC resonant network;
Fig. 2 is coupling unit and pickup unit equivalent circuit diagram;
Fig. 3 is forward direction F-LCLC resonant network topology;
Fig. 4 is reversed F-LCLC resonant network topology;
Fig. 5 (a) is the relational graph of booster type F-LCLC resonant network inductance value and voltage gain, quality factor;
Fig. 5 (b) is the relational graph of voltage-dropping type F-LCLC resonant network inductance value and voltage gain, quality factor
Fig. 6 is the equivalent circuit diagram of the ECPT system based on bilateral F-LCLC resonant network;
Fig. 7 is THD1Corresponding σ when < 10%tWith QtRelational graph;
Fig. 8 is THDrCorresponding σ when < 10%pWith QpRelational graph;
Fig. 9 is σpWith the relational graph of load variation percentage;
Figure 10 (a) is that voltage-dropping type F-LCLC resonant network inputs phase angle about σpWith ωnCircle of equal altitudes;
Figure 10 (b) is that booster type F-LCLC resonant network inputs phase angle about QtWith ωnCircle of equal altitudes;
Figure 11 is Parameters design flow chart;
Figure 12 (a) is output voltage simulation waveform;
Figure 12 (b) is coupling unit excitation voltage emulation waveform diagram;
Figure 13 is inverter output voltage and output current simulations waveform diagram;
Figure 14 is rectifier bridge input voltage and input current simulation waveform;
Figure 15 (a) is load RLThe experimental waveform figure of output voltage when resistance value is reduced to 12 Ω from 20 Ω;
Figure 15 (b) is load RLResistance value from 20 Ω increase be 28 Ω when output voltage experimental waveform figure;
Figure 15 (c) is inverter output voltage and the experimental waveform figure for exporting electric current;
Figure 15 (d) is the experimental waveform figure of rectifier bridge input voltage and input current.
Specific embodiment
The embodiment of the present application is by providing a kind of ECPT system and its parameter designing based on bilateral F-LCLC resonant network Method, to solve in the prior art, in order to obtain circuit system caused by constant voltage output characteristic, structure is complicated, at high cost asks Topic and transmitting terminal resonance circuit cannot work ZPA state cause system power factor reduce and the soft of inverter cut The technical issues of changing frequency shifts.
In order to better understand the above technical scheme, in conjunction with appended figures and specific embodiments, it is right Above-mentioned technical proposal is described in detail.
Embodiment
A kind of ECPT system based on bilateral F-LCLC resonant network, as shown in Figure 1, including DC power supply, high-frequency inversion Circuit, booster type F-LCLC resonant network, by compensation inductance LsAnd coupling unit, voltage-dropping type F- that two pairs of coupling plates are constituted LCLC resonant network, current rectifying and wave filtering circuit and load RL, wherein the DC power supply changes via the high-frequency inverter circuit For alternating voltage, the booster type F-LCLC resonant network is by resonant inductance L1t, resonant inductance L2t, resonant capacitance C1tAnd it is humorous Shake capacitor C2tComposition, the resonant inductance L1tOne end and the resonant inductance L2tOne end connection, the resonant inductance L1t's The other end connects the first output end of the high-frequency inverter circuit, the resonant inductance L2tThe other end pass through the compensation inductance LsConnect one piece of transmitting pole plate, the resonant capacitance C1tOne end be connected to the resonant inductance L1tWith the resonant inductance L2t Between, the resonant capacitance C1tThe other end connect the second output terminal of the high-frequency inverter circuit, the resonant capacitance C2t's One end is connected to the resonant inductance L2tWith the compensation inductance LsBetween, the resonant capacitance C2tThe other end connect another piece Emit pole plate, the voltage-dropping type F-LCLC resonant network is by resonant inductance L1p, resonant inductance L2p, resonant capacitance C1pAnd resonance Capacitor C2pComposition, the resonant inductance L1pOne end and the resonant inductance L2pOne end connection, the resonant inductance L1pIt is another One end connects one piece of reception pole plate, the resonant inductance L2pThe other end connect the first input end of the current rectifying and wave filtering circuit, The resonant capacitance C1pOne end be connected to the resonant inductance L1pWith the resonant inductance L2pBetween, the resonant capacitance C1p The other end connect another piece of reception pole plate, transmitting pole plate is wirelessly transferred with receiving pole plate one-to-one correspondence and couple realization energy, institute State resonant capacitance C2pBoth ends be separately connected the first input end and the second input terminal of the current rectifying and wave filtering circuit, in the rectification The load R is connected between two output ends of filter circuitL
System Working Principle are as follows: DC power supply is changed into alternating voltage via high-frequency inverter circuit, then passes through booster type F-LCLC resonant network supplies coupling unit after rising to the voltage of greater degree again.When two pieces of reception pole plates are placed on transmitting pole plate When neighbouring, alternating electric field induces potential difference on receiving pole plate, using rectifying and wave-filtering after voltage-dropping type F-LCLC resonant network At DC voltage needed for load.The inverter of system is driven using constant frequency.
Fig. 2 is the equivalent circuit of coupling unit and receiving unit, UdDriving voltage, C for coupling unitsFor coupling mechanism Equivalent series capacitance, and Cs=Cs1Cs2/(Cs1+Cs2)、For coupling mechanism dielectric loss equivalent resistance,For Ls's Equal series resistance, R2For the equivalent inpnt resistance value of receiving unit under resonance frequency.Mainly with the insulation material that is coated on pole plate Medium between material and pole plate is related, and meets
In formula, γ is Dielectric loss tangent value.The equivalent series resistance R of coupling unitsForWithThe sum of.
For the ECPT system under high frequency state that works, RsIt can reach more than ten ohm.In order to improve the transmission effect of system Rate, it is necessary to R2Significantly larger than Rs, however the equivalent load resistance value of existing ECPT system is usually in the range of (10 Ω, 100 Ω) It is interior, if coupling unit, directly to this load transmission energy, the efficiency of system is lower.Therefore the present invention coupling unit with it is whole It is provided with voltage-dropping type F-LCLC resonant network between stream filter circuit to realize the high input resistance value of receiving unit, while guaranteeing defeated Voltage is not with load R outLVariation and change.
In the case where higher output power, the driving voltage of coupling unit is usually higher and often higher than most of The pressure voltage of MOSFET.However by the characteristic of MOSFET it is found that its optimal operational condition is low-voltage and high-current.In order to solve coupling The contradiction of the high driving voltage demand of mechanism and inverter switching device pipe subnormal voltage operation demand between the two is closed, the present invention is inverse in high frequency Booster type F-LCLC resonant network is provided between power transformation road and coupling unit, thus with the inverter of lower pressure voltage generate compared with High coupling mechanism driving voltage.
F-LCLC resonant network is divided into positive and reversed two types.In Fig. 3, when 1. port connects voltage source and 2. port When connecing load, referred to as forward direction F-LCLC resonant network, on the contrary referred to as reversed F-LCLC resonant network.In the analysis of following circuits In, it is assumed that semiconductor devices used is ideal component, and ignores the parasitic parameter of capacitor and inductance.
1, forward direction F-LCLC resonant network
Fig. 3 is the topology of forward direction F-LCLC resonant network, and the input impedance of available network is
In formula,
Wherein, ωnFor normalized frequency, λ is the ratio between inductance, and σ is the ratio between capacitor, and Q is quality factor, and is met
Q=ω0C2Ro(6)
ω is the working frequency of network, ω0=2 π f0For its natural resonance angular frequency, and meet
And then it can derive that the relationship of σ and λ under resonant state is
Then the gain that output voltage can be obtained relative to input voltage is
By formula 2,9, it can be seen that, the expression formula of network input impedance and voltage gain and the occurrence of element are unrelated, because And the intrinsic propesties of network can be characterized.Work as ωn=1, i.e. forward direction F-LCLC resonant network work is in resonance frequency, formula 2 With formula 9 can simplify respectively for
Formula 10 illustrates the input impedance of forward direction F-LCLC resonant network under resonance condition in purely resistive.This means that The energy being injected into F-LCLC resonant network can be supplied to load R completelyo, the network operation is in ZPA state;Formula 11 is then said Output voltage U is illustratedoWith input voltage UinIn proportionate relationship, and the ratio of the two is equal to capacity ratio σ.As long as therefore keeping input Voltage magnitude is invariable, that is, can guarantee that output voltage does not change with the variation of load.In addition, when configuring σ > 1, net Network has the characteristic for rising output voltage again, and this circuit form is known as booster type F-LCLC resonant network herein.And σ < 1 is right Voltage-dropping type F-LCLC resonant network is answered, and the input impedance of this type network is higher than load known to formula 10, formula 11 Resistance value Ro, and have both constant voltage output characteristics.
2, reversed F-LCLC resonant network
Fig. 4 is the topology of reversed F-LCLC resonant network.Its input impedance is
Q in formular0L1/Rr.Under resonance condition, formula 12 can abbreviation be
Zr_in=Rrσ2(13)
And then the output voltage that can acquire reversed F-LCLC resonant network is
By formula 14, it can be seen that, the output voltage of the reversed F-LCLC resonant network under resonant state can be with load Change and changes.
Load is worked as under resonance condition by the ECPT system that positive booster type and voltage-dropping type F-LCLC resonant network form When resistance value changes, voltage-dropping type F-LCLC resonant network can maintain output voltage constant, and booster type F-LCLC Resonance Neural Network Network provides constant driving voltage for coupling unit and has both voltage rises effect again, while ensuring that system works in ZPA state always.
For the ease of analytic explanation, the circuit structure of system is drawn on Fig. 6 again, wherein ReFor current rectifying and wave filtering circuit and Output loading resistance value RLEquivalent resistance, and Re2RL/8.According to F-LCLC resonant network characteristic it is found that at the resonant frequency fx From port, the impedance that 1. 2. 3. to the right/left side looks over is purely resistive, and respectively indicates the equivalent resistance of each port For R1/R1r、R2/R2r、Re
In order to reduce the bulking value and electromagnetic radiation of inductance, the inductance in system be all made of high frequency magnetic powder core come around System.Such inductance can the minimum value of coiling be 0.5 μ H or so, then requiring the inductance value in resonant network not small In 1 μ H.
The inductance value in positive F-LCLC resonant network, which can be calculated, according to formula 6, formula 7, formula 8 is
L2=σ L1(16)
Inductance value in booster type F-LCLC resonant network can be obtained as formula 15 and formula 16 and be above electricity corresponding to 1 μ H Appearance compares σt, quality factor qtWith resistance R2, such as Fig. 5 (a).In the same manner, all electricity in voltage-dropping type F-LCLC resonant network can be calculated Inductance value is not less than the corresponding σ of 1 μ Hp、QpAnd Re, such as Fig. 5 (b).Complex chart 5 (a), two figure of Fig. 5 (b) can further obtain respective area Between are as follows:
In formula, Qt0C2tR2, Qp0C2pRe
Below by total harmonic distortion rate THD, constant-voltage characteristic and the sensitivity to parameter of overall analysis system, and on this basis Provide the design method of system major parameter.
1, total harmonic distortion rate
The preferable harmonic inhibition capability of resonance circuit is the key that guarantee system normal operation and preferable Electro Magnetic Compatibility Factor.Total harmonic distortion rate characterizes circuit to the rejection ability of higher hamonic wave.Smaller THD shows circuit to higher hamonic wave Inhibiting effect is stronger.Main harmonic source is the rectifier bridge in the inverter and receiving unit in transmitting unit in system.Cause And the input current of Main Analysis booster type F-LCLC resonant network and the output voltage of voltage-dropping type F-LCLC resonant network is humorous Wave aberration rate.
Assuming that inverter output voltage is ideal square wave, then the input current I of booster type F-LCLC resonant networkinIt is complete humorous Wave aberration rate is
In formula, m is the order of higher hamonic wave, and takes odd number;N is the top step number of selected odd harmonic.Excessively high quality Factor QtOr too small capacity ratio σtIt will cause THD1Excessively high, positive F-LCLC resonant network gets over the inhibiting effect of harmonic wave Difference.Fig. 7 gives THD1Corresponding quality factor q when < 10%tWith capacity ratio σtValue interval, and then available THD1 Condition needed for < 10% are as follows:
This explanation is to THD1It is unlikely to excessively high, the capacity ratio σ of resonant networktWith lower limit value.In conjunction with formula 4 and formula 20, capacity ratio σ can be obtainedtChoosing value range are as follows:
For higher hamonic wave caused by rectifier bridge, mainly inhibited by voltage-dropping type F-LCLC resonant network.Due to coupling Close unit compensation inductance LsImpedance will be far longer than from compensation inductance and eye left past impedance, thus will 2. can be considered as port Open circuit.In conjunction with the impedance operator of reversed F-LCLC resonant network, the total harmonic distortion rate of rectifier bridge input voltage can be obtained are as follows:
K=R in formulas/Re.Fig. 8 is THDrThe corresponding capacity ratio σ of < 1%pWith quality factor qpContour.From transverse direction From the point of view of angle, it is known that capacity ratio σpTHD is not interfered withr, from longitudinal angle, it is found that quality factor qpBigger THDrIt is smaller. However, the excessive quality factor known to formula 15 can make resonant inductance L again2pIt is too small, or even also will cause prime booster type The sensitivity to parameter of F-LCLC resonant network is higher.Thus in selection quality factor qpWhen to take into account THDrWith L2p
2, constant-voltage characteristic
The equivalent internal resistance R of coupling unitsIt is usually larger, therefore when load changes, the input voltage U of receiving unit2 It can not be in a steady state value, but changed in a certain range.This means that output voltage also can be in a certain range Variation.In order to guarantee that the variation range of output voltage is not excessive, it is desirable to R2Relative to RsIt is sufficiently large, in other words, decompression The σ of type F-LCLC resonant networkpWant sufficiently small.
The variation percentage of equivalent output voltage are as follows:
The variation percentage of equivalent load resistance value are as follows:
R'eAnd U'eEquivalent resistance and corresponding equivalent output voltage after respectively indicating load variation.By Δ UeIt is upper Limit value is expressed as a.Δ U can be obtained in conjunction with formula 11eCorresponding δ when < a:
The case where by formula 25 as it can be seen that for load increase (δ > 0), if specified output voltage changes percentageSo load can be increased to arbitrary value;If otherwiseThe increase percentage tool so loaded There is upper limit value.The reduction percentage of the case where reducing for load (δ < 0), load has lower limit value.It is defeated in the first case The variation range of voltage is larger out, in order to obtain substantially invariable output voltage, need to only meet second and third in formula 25 Formula.
Assuming that output voltage variation is not higher than 2%, i.e. a=2%.With f0=500KHz, RL=20 Ω, RsFor=20 Ω, Capacity ratio σ is obtained according to formula 25pWith the increased most high percentage δ of loadupAnd reduced lowest percentage δlowRelationship, As shown in Figure 9.Capacity ratio σpInversely prroportional relationship approximate with the presentation of the alterable range of load.Capacity ratio σpIt is smaller then permitted Load variation is bigger.For example, it is desired to which the variation percentage of load must meet σ ± 20% or morep< 0.33.So this Range and formula 18 have codetermined voltage-dropping type F-LCLC resonant network capacity ratio σpUpper limit value.
If a is bigger, i.e., permitted output voltage variation range is bigger, then the alterable range loaded increases therewith Add.In addition, system remains to work in ZPA state, only output voltage when the variation for loading resistance value is more than the range allowed Variation range will be more than limit percentage.
3, sensitivity to parameter
In systems in practice, inevitably there is deviation in the parameter of resonant network and its calculated value, so that net The working frequency off-resonance frequency of network, if the stability of the excessive so system of drift of frequency will be difficult to ensure.Due to net The deviation of network parameter can reflect the change of normalized frequency, capacity ratio and quality factor, thus can be by analyzing resonance The input impedance characteristic of network is with ωn、σpAnd QtThe case where changing and changing analyzes the sensitivity to parameter of network.
According to formula 2 and formula 18, the input impedance angle of voltage-dropping type F-LCLC resonant network can be obtained about σpAnd ωn's Shown in circle of equal altitudes such as Figure 10 (a).It can be seen that working as σpWhen too small, the minor shifts of working frequency will cause the play for inputting phase angle Strong variation.Therefore in order to guarantee that the sensitivity to parameter of voltage-dropping type F-LCLC resonant network is unlikely to excessively high, σpValue cannot mistake It is small.That is sensitivity to parameter has determined σpLower limit value.
According to formula 2 and formula 21, the input phase angle of booster type F-LCLC resonant network can be drawn about QtAnd ωnEtc. Gao Tu, as shown in Figure 10 (b).Work as QtWhen excessive, the sensitivity to parameter of booster type F-LCLC resonant network is higher.However it is too small QtIt will make σtIt is too small, required boosting multiple is not achieved.It thus to take into account sensitivity to parameter and boosting multiple comes to QtFolding Middle choosing value.
According to the THD of system, the requirement of three aspects of constant-voltage characteristic and sensitivity to parameter, it is presented below a kind of based on double The Parameters design of the ECPT system of side F-LCLC resonant network, includes the following steps:
S1: the working frequency f of the system and the equivalent series capacitance of coupling unit are determined according to the demand of application scenarios Cs, load RLAnd output power Pout
S2: the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determined according to formula 18, formula 25pUpper limit value;
S3: quality factor q is determined according to formula 15, formula 22pRange, and according to engineering experience select QpValue;
S4: the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determined according to formula 2pLower limit value, and then select σpValue;
S5: its quality factor q is determined according to the sensitivity to parameter of booster type F-LCLC resonant networktUpper limit value;
S6: booster type F-LCLC resonant network quality factor q is selected according to engineering experiencetInitial value;
S7: the capacity ratio σ of booster type F-LCLC resonant network is determined according to formula 21tValue range;
S8: the capacity ratio σ of needs is judged whether there ist, if it is, entering step S10, otherwise, enter step S9;
S9: reduce capacity ratio σtValue, and the S8 that gos to step;
S10: system parameter is determined according to formula 5 to formula 8.
The driving voltage of coupling unit are as follows:
Required DC voltage input are as follows:
In order to verify the constant-voltage characteristic of proposed system and the correctness of Parameters design, with working frequency For 500KHz, output loading 20 Ω, output voltage 50V, equivalent binding capacitance 350pF, according to the parameter designing stream in Figure 11 Journey obtains the major parameter of system, and establishes simulation model according to Fig. 6 in MATLAB.For the ease of comparing emulation and reality It tests as a result, the value of element is all made of the parameter measured value such as table 1 of experimental provision in simulation model.
1 system major parameter of table
Shown in the simulation waveform of the output voltage of system such as Figure 12 (a), the output voltage loaded within the period 1 is 50V;? t1At the moment, load jump to 12 Ω, output voltage reaches steady-state value 49V again after about 0.2ms;In t2Moment, load increase Greatly to 28 Ω, output voltage is stabilized to 50V again after the damped oscillation of 0.2ms.It can be seen that when load resistance value is with itself The 40% of resistance value when changing, and the variation percentage of the steady state voltage of output does not exceed 2%.However in the t of load jump1 And t2Moment, the variation percentage of output voltage will be more than 2%.This is because after load sudden change coupling unit driving voltage Several periods are needed to reach stable again.On the whole, the variation of output voltage is substantially ± 2%.Coupling unit Driving voltageSimulation waveform such as Figure 12 (b) shown in.Virtual value be 286.5V and will not with the variation of load and Variation, voltage gain σtIt is 5.59, coincide respectively with corresponding calculated value 286.6V and 5.6.
In the steady-state operation of period 1, the output voltage U of inverterinvWith electric current IinvSimulation waveform it is as shown in figure 13. Inverter current lags behind 2 ° of inverter voltage or so, this is in order to which switching tube can work in no-voltage on state.Inverter current THD1It is 10.05%.And the inverter current THD of period 2 and period 31It is then respectively 6.25% and 13.20%, with 19 institute of formula The calculated value of acquisition is consistent.In the steady-state operation of period 1, the input voltage U of rectifierrecWith electric current IrecEmulation wave Shape is as shown in figure 14, UrecTHDrIt is 2.06%, coincide substantially with the calculated value 1.99% of formula 22.Period 2 and period 3 THDrRespectively 3.36% and 2.06%, respectively less than 5%.
In the present embodiment, coupling unit is by the identical 20cm × 20cm metallic copper being printed on pcb board of four block sizes Foil composition.Transmitting and the spacing received between pole plate are 3mm.The MOSFET pipe of full-bridge inverter is using ST Microelectronics STP20NM30.In order to reduce the high-frequency loss in experimental provision, capacitor used is the produced silver-mica capacitor of CDE company, Inductance core is the high frequency magnetic core of MICROMETALS, and rectifier bridge is made of MUR1520G Ultrafast recovery diode.
Figure 15 (a) is the experimental waveform for loading resistance value and increasing output voltage when being reduced to 12 Ω from 20 Ω.It can from figure It arrives, at the time of loading switching, the variation of 10V or so occurs in output voltage, by overdamping oscillation recovery to 50V or so.It is defeated The variation of voltage is within 2% out.Figure 15 (b) is the waveform for loading output voltage when resistance value increases to 28 Ω from 20 Ω.Output The variation range of voltage is also within 2%.The output voltage U of inverterinvWith electric current IinvAs shown in Figure 15 (c), rectifier bridge Input voltage UrecWith electric current IrecIt is imitative in experimental waveform and Figure 13 and Figure 14 as we can see from the figure as shown in Figure 15 (d) True waveform is almost the same.Designed model machine can be with the power of 84% overall efficiency output 120W.
In above-described embodiment of the application, by provide a kind of ECPT system based on bilateral F-LCLC resonant network and its Parameters design, including DC power supply, high-frequency inverter circuit, booster type F-LCLC resonant network, by compensation inductance LsWith two Coupling unit, voltage-dropping type F-LCLC resonant network, current rectifying and wave filtering circuit and the load R that coupling plates are constitutedL, invention reality Show when load resistance value changes in a certain range, output voltage is held essentially constant, while guaranteeing that system operates in ZPA shape State increases communication and adjusting control circuit without additional, effectively reduces the cost and complexity of system.
It should be pointed out that the above description is not a limitation of the present invention, the present invention is also not limited to the example above, Variation, modification, addition or the replacement that those skilled in the art are made within the essential scope of the present invention, are also answered It belongs to the scope of protection of the present invention.

Claims (10)

1. a kind of ECPT system based on bilateral F-LCLC resonant network, which is characterized in that including DC power supply, high-frequency inversion electricity Road, booster type F-LCLC resonant network, by compensation inductance LsAnd coupling unit, the voltage-dropping type F- being made of two pairs of coupling plates LCLC resonant network, current rectifying and wave filtering circuit and load RL, wherein the DC power supply changes via the high-frequency inverter circuit For alternating voltage, the booster type F-LCLC resonant network is by resonant inductance L1t, resonant inductance L2t, resonant capacitance C1tAnd it is humorous Shake capacitor C2tComposition, the resonant inductance L1tOne end and the resonant inductance L2tOne end connection, the resonant inductance L1t's The other end connects the first output end of the high-frequency inverter circuit, the resonant inductance L2tThe other end pass through the compensation inductance LsConnect one piece of transmitting pole plate, the resonant capacitance C1tOne end be connected to the resonant inductance L1tWith the resonant inductance L2t Between, the resonant capacitance C1tThe other end connect the second output terminal of the high-frequency inverter circuit, the resonant capacitance C2t's One end is connected to the resonant inductance L2tWith the compensation inductance LsBetween, the resonant capacitance C2tThe other end connect another piece Emit pole plate, the voltage-dropping type F-LCLC resonant network is by resonant inductance L1p, resonant inductance L2p, resonant capacitance C1pAnd resonance Capacitor C2pComposition, the resonant inductance L1pOne end and the resonant inductance L2pOne end connection, the resonant inductance L1pIt is another One end connects one piece of reception pole plate, the resonant inductance L2pThe other end connect the first input end of the current rectifying and wave filtering circuit, The resonant capacitance C1pOne end be connected to the resonant inductance L1pWith the resonant inductance L2pBetween, the resonant capacitance C1p The other end connect another piece of reception pole plate, transmitting pole plate is wirelessly transferred with receiving pole plate one-to-one correspondence and couple realization energy, institute State resonant capacitance C2pBoth ends be separately connected the first input end and the second input terminal of the current rectifying and wave filtering circuit, in the rectification The load R is connected between two output ends of filter circuitL
2. the ECPT system according to claim 1 based on bilateral F-LCLC resonant network, which is characterized in that the resonance Inductance L1t, resonant inductance L2t, resonant inductance L1p, resonant inductance L2pAnd compensation inductance LsIt is all made of high frequency magnetic powder core coiling.
3. the ECPT system according to claim 2 based on bilateral F-LCLC resonant network, which is characterized in that the resonance Inductance L1t, resonant inductance L2t, resonant inductance L1p, resonant inductance L2pAnd compensation inductance LsInductance value be not less than 1 μ H.
4. the Parameters design of the ECPT system as described in claim 1 based on bilateral F-LCLC resonant network, feature It is, includes the following steps:
S1: the working frequency f of the system and equivalent series capacitance C of coupling unit is determined according to the demand of application scenarioss, it is negative Carry RLAnd output power Pout
S2: the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determinedpUpper limit value;
S3: the quality factor q of voltage-dropping type F-LCLC resonant network is determinedpRange, and select QpValue;
S4: the capacity ratio σ of voltage-dropping type F-LCLC resonant network is determinedpLower limit value, and then select σpValue;
S5: its quality factor q is determined according to the sensitivity to parameter of booster type F-LCLC resonant networktUpper limit value;
S6: selection booster type F-LCLC resonant network quality factor qtInitial value;
S7: the capacity ratio σ of booster type F-LCLC resonant network is determinedtValue range;
S8: the capacity ratio σ of needs is judged whether there ist, if it is, entering step S10, otherwise, enter step S9;
S9: reduce capacity ratio σtValue, and the S8 that gos to step;
S10: system parameter is determined.
5. the Parameters design of the ECPT system according to claim 4 based on bilateral F-LCLC resonant network, special Sign is, determines capacity ratio σ in step S2 according to the following formulapUpper limit value:
In formula, σpFor capacity ratio,Qp0C2pRe, ω0=2 π f0For its natural resonance angular frequency, ReFor rectification filter Wave circuit and load RLEquivalent resistance, and Re2RL/ 8, the variation percentage of equivalent load resistance valueR'eFor the equivalent resistance of current rectifying and wave filtering circuit and load after load variation, a is equivalent output electricity The variation percent delta U of pressureeUpper limit value,UeFor the equivalent output electricity before load variation Pressure, U'eFor the equivalent output voltage after load variation, RsFor the equivalent resistance of coupling unit dielectric lossWith compensation inductance Ls Equal series resistanceThe sum of.
6. the Parameters design of the ECPT system according to claim 4 based on bilateral F-LCLC resonant network, special Sign is, determines quality factor q according to following formula in step S3pRange:
In formula, THDrFor the total harmonic distortion rate of rectifier bridge input voltage, k=Rs/Re, m is the order of higher hamonic wave, and takes surprise Number;N is the top step number of selected odd harmonic.
7. the Parameters design of the ECPT system according to claim 4 based on bilateral F-LCLC resonant network, special Sign is, determines the capacity ratio σ of voltage-dropping type F-LCLC resonant network in step S4 according to following formulapLower limit value:
In formula,
ZinFor the input impedance of voltage-dropping type F-LCLC resonant network, ωnFor normalized frequency,ω is voltage-dropping type F- The work angular frequency of LCLC resonant network, ω0=2 π f0For its natural resonance angular frequency, and meetInductance ratio
8. the Parameters design of the ECPT system according to claim 4 based on bilateral F-LCLC resonant network, special Sign is, the capacity ratio σ of booster type F-LCLC resonant network in step S7tValue range are as follows:R2For the equivalent inpnt resistance value of receiving unit under resonance frequency.
9. the Parameters design of the ECPT system according to claim 4 based on bilateral F-LCLC resonant network, special Sign is, determines system parameter by following formula in step S10:
Qp0C2pRe;Qt0C2tR2
Under resonant state:
R2For the equivalent inpnt resistance value of receiving unit under resonance frequency.
10. the Parameters design of the ECPT system according to claim 5 based on bilateral F-LCLC resonant network, special Sign is, a=2%.
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