CN109361272A - A kind of high efficiency wireless charging power supply and its design method - Google Patents
A kind of high efficiency wireless charging power supply and its design method Download PDFInfo
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- CN109361272A CN109361272A CN201811138105.8A CN201811138105A CN109361272A CN 109361272 A CN109361272 A CN 109361272A CN 201811138105 A CN201811138105 A CN 201811138105A CN 109361272 A CN109361272 A CN 109361272A
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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
Abstract
The invention discloses a kind of high efficiency wireless charging power supplys, including the source coil as made of enamel covered wire coiling, transmitting coil, four 10 circles of receiving coil and loading coil spiral winding, the invention also discloses the design methods of high efficiency wireless charging power supply, the following steps are included: (1) determines the radius of source coil and loading coil, the radius of transmitting coil and receiving coil；(2) cross sectional radius of enamel covered wire is determined；(3) determine the turn-to-turn of coil away from；(4) resonance frequency of source coil and loading coil, the resonance frequency of transmitting coil and receiving coil are calculated；(5) by the resonance frequency of calculated coil, the compensating electric capacity of source coil and loading coil, the compensating electric capacity of transmitting coil and receiving coil are determined；(6) optimal frequency of power supply is calculated.The present invention makes full use of the effect of cross-coupling transmission energy between coil, to greatly improve the efficiency of transmission and transmission range of energy, realizes the high efficiency of wireless power source, charges at a distance.
Description
Technical field
The present invention relates to wireless charging technical fields, and in particular to a kind of high efficiency wireless charging power supply and its design side
Method.
Background technique
The wireless transmission of electric energy gets rid of the constraint of tangible medium as wireless communication technique, invisible soft by space
Medium (such as electric field, magnetic field, microwave) realizes that electric energy is transmitted to electrical equipment by power end, which is collection electromagnetic field, electric power
The basic research and application study of the multi-crossed disciplines such as electronics, high-frequency electronic, electromagnetic induction and coupled mode theory, are energy sources
With the revolution progress of access, which solves the defect that traditional conducting wire directly contacts power supply, is a kind of effective, peace
Entirely, convenient and fast electric energy transmission mode.
But traditional wireless charging power supply that there are charge efficiencies is low, charging when apart from limited defect, so of the invention
Propose high efficiency, remote wireless charging power supply and design method.
Originally wireless charging power supply mostly uses the magnet coupled resonant type wireless energy transmission mode of two coils, but two coils
The mutual inductance of wireless energy transfer mode, transmitting terminal and receiving end is smaller, and there are a critical transmission ranges, when transmitting terminal and receives
When the distance between end is more than critical distance, efficiency of transmission can decline rapidly.In order to improve the efficiency of transmission and biography of wireless energy
Defeated distance, there is the wireless energy transfer mode for having researched and proposed four coils, and four traditional coil wireless energy transfer modes are general
Enable the resonance frequency of four coils identical, there are two types of the setting of resonance frequency is general, one is allow the resonance frequencies of four coils
Equal to the frequency of power supply, another kind is usually that transmitting coil or receiving coil is arranged in most in the resonance frequency of four coils
At excellent resonance frequency, therefore source coil and loading coil resonance frequency are not the optimal resonance frequencies of itself coil, so no matter
How supply frequency is arranged, and source coil and loading coil are all unable to reach optimal working condition, and then source coil cannot be as far as possible
More energy transmissions transmitting terminal does not consider coil usually since source coil is very few to receiving end transmission energy to receiving end
Between cross-coupling effect, source coil only plays the role of power supply energy being transferred to transmitting coil, therefore this charging side
The defect that formula has charge efficiency low.
Summary of the invention
The purpose of the present invention is to provide a kind of high efficiency wireless charging power supply and its design method, make full use of between coil
The effect of cross-coupling transmission energy realizes the height of wireless power source to greatly improve the efficiency of transmission and transmission range of energy
Efficiency, remote charging.
To achieve the above object, the present invention adopts the following technical scheme:
A kind of high efficiency wireless charging power supply, including AC power source, input pressure regulation filter module, transmitting terminal, receiving end and
Export rectifying and pressure-regulating filter module, output rectifying and pressure-regulating filter module connection load, it is characterised in that: the transmitting terminal includes source
Coil and transmitting coil, source coil connection input pressure regulation filter module, the diameter of source coil are less than the diameter of transmitting coil, and source
Coil and transmitting coil are coaxially coplanar with, and the receiving end includes receiving coil and loading coil, and the diameter of loading coil is small
In the diameter of receiving coil, and receiving coil and loading coil are coaxially coplanar with, loading coil connection load, the transmitting terminal
It being parallel to each other with receiving end, and the center of circle is on the same axis, four coils of transmitting terminal and receiving end are respectively connected with compensating electric capacity,
Wherein, source coil is equal with the compensating electric capacity of loading coil, and transmitting coil is equal with the compensating electric capacity of receiving coil, passes through compensation
Capacitor, corresponding frequency when the resonance frequency of each coil being made to be circuit quality factor maximum where each coil；The friendship
Galvanic electricity source is system power supply, and input pressure regulation filter module will be sent to source coil, source after AC process that AC power source exports
Coil sends energy to transmitting coil by effect inductively, and source coil and transmitting coil are used as transmitting terminal will together
Amount sends receiving coil and loading coil to, and the received energy in receiving end is by output rectifying and pressure-regulating filter module, by alternating current
It is converted into direct current, is finally supplied to load.
Preferably, the radius of the source coil and loading coil is equal, and transmitting coil is equal with the radius of receiving coil.
Preferably, the radius of the source coil and loading coil is r1The radius of=5cm, transmitting coil and receiving coil
It is r2=10cm.
Preferably, the source coil, transmitting coil, receiving coil and loading coil are all made of is formed by coat of paint copper wire winding
Spiral winding, the number of turns of four spiral windings and turn-to-turn are away from being equal.
Preferably, the number of turns of four coils is N=10, and turn-to-turn is away from the cross sectional radius for d=3mm, coat of paint copper wire
rc=1.1mm.
The design method of high efficiency wireless charging power supply, successively the following steps are included:
(1) the radius r of source coil and loading coil is set1, the radius r of transmitting coil and receiving coil2, four coils
The number of turns N, the cross sectional radius r of enamel covered wirecAnd the turn-to-turn of spiral winding is away from d；
(2) the optimal resonance frequency f of source coil and loading coil is calculated1With the optimal resonance of transmitting coil and receiving coil
Frequency f2；
1. the quality factor formula of coil is as follows:
Wherein,
Wherein, RohmIndicate thermal resistance, RradIndicate radiation resistance, frIndicate coil resonance frequency, L indicates self-induction of loop, c
Indicate the light velocity, μ0Indicate space permeability, ρ indicates resistivity, and N is coil turn, and r indicates coil radius, rcIndicate coil cross-sectional
Radius surface, subscript ohm, rad, r and c are differentiation effect, and non-variables；
2. formula (2) are substituted into formula (1), can obtain:
By formula (3) it is found that after loop construction determines, quality factor q only with the resonance frequency f of coilrIt is related, i.e.,
Q=α fr, α is definite value；
3. to the resonance frequency f of quality factor q and coilrRelational expression differentiate, can obtain:
To obtain corresponding coil resonance frequency when quality factor maximum are as follows:
It brings the parameter of each coil into formula (5) respectively, the optimal resonance frequency of source coil and loading coil can be acquired
Rate f1And the optimal resonance frequency f of transmitting coil and receiving coil2, wherein subscript m=1,2；
(3) the compensating electric capacity C of source coil and loading coil is calculated1And the compensating electric capacity C2 of transmitting coil and receiving coil；
The inductance L of source coil and loading coil can be acquired by formula (2)1And the inductance L2 of transmitting coil and receiving coil,
According to the relational expression between capacitor and frequency
The optimal resonance frequency f of the coil that step (2) is calculatedmIt substitutes into formula (6), source coil and load can be obtained
The compensating electric capacity C of coil1And the compensating electric capacity C of transmitting coil and receiving coil2；
(4) power supply optimal frequency f is calculated0；
According to the equivalent circuit diagram of transmitting terminal and receiving end, the KVL equation that can obtain each circuit is as follows:
Wherein, Z11=RS+R1+j(ωL1-1/ωC1), indicate the impedance loop of source coil, Z22=R2+j(ωL2-1/ω
C2), indicate the impedance loop of transmitting coil, Z33=R3+j(ωL2-1/ωC2), indicate the impedance loop of receiving coil, Z44=RL
+R4+j(ωL1-1/ωC1), indicate the impedance loop of loading coil, Mij(i ≠ j, i, j=1,2,3,4) mutual inductance between coil, Ii
(i=1,2,3,4) is electric current in circuit, and Rs is the internal resistance of source, R1、R2、R3And R4Respectively source coil, transmitting coil, reception line
The internal resistance of circle and loading coil, RLFor load resistance, L1Indicate the inductance of source coil and the inductance of loading coil, L2Indicate transmitting
The inductance of coil and the inductance of receiving coil, C1Indicate the compensating electric capacity of source coil and the compensating electric capacity of loading coil, C2Indicate hair
The compensating electric capacity of ray circle and the compensating electric capacity of receiving coil, the π of ω=2 f, f are supply frequency；
By can be calculated relationship between electric current:
As internal resistance of source Rs and load resistance RLWhen equal, power-efficient η and positive transmission coefficient S21Between relationship such as
Under:
η=| S21|2 (11)
Positive transmission coefficient S21Relationship between supply frequency f is as follows:
In formula, Rs and RLThe respectively internal resistance of source, load resistance, remaining parameters define identical as formula (7)；
Using MATLAB to positive transmission coefficient S21Relational expression (12) derivation between supply frequency f, and enable
One group of Frequency point corresponding with maximum and minimum can be acquired, all Frequency points acquired are substituted into formula
(12), positive transmission coefficient S can be obtained by comparing21Maximum value, the corresponding Frequency point f of maximum value is the optimal frequency of power supply
Rate f0。
The present invention considers the cross-coupling effect between coil, by transmitting terminal using power supply optimal frequency as driving frequency
With four coil resonance set of frequency of receiving end at the maximum corresponding frequency of circuit quality factor where each coil, make source
Energy is transferred to receiving end by transmitting terminal to greatest extent by coil and transmitting coil, and cross-coupling passes between taking full advantage of coil
The effect of delivery of energy amount substantially increases the efficiency of transmission and transmission range of energy, realizes the high efficiency, remote of wireless power source
Charging.
Detailed description of the invention
Fig. 1 is the principle of the present invention block diagram；
Fig. 2 is the structural schematic diagram of transmitting terminal of the present invention and receiving end；
Fig. 3 is the equivalent circuit diagram of transmitting terminal of the present invention and receiving end；
Fig. 4 is the frequency comparison figure of present invention wireless energy transfer mode identical with traditional four coil resonance frequencies；
Fig. 5 be the present invention with the identical wireless energy transfer mode of four coil resonance frequencies of tradition at each distance just
To the comparison diagram of transmission coefficient maximum value.
Specific embodiment
Technical solution of the present invention is clearly and completely described below in conjunction with attached drawing, it is clear that described embodiment
Only section Example of the invention, instead of all the embodiments.Based on the embodiments of the present invention, the common skill in this field
Art personnel other all embodiments obtained without making creative work, belong to protection model of the invention
It encloses.
As shown in Figure 1 to Figure 3, the invention discloses a kind of high efficiency wireless charging power supplys, including AC power source, input to adjust
Filter module, transmitting terminal, receiving end and output rectifying and pressure-regulating filter module are pressed, output rectifying and pressure-regulating filter module connection loads,
Transmitting terminal includes source coil 1 and transmitting coil 2, and the connection input pressure regulation filter module of source coil 1, the diameter of source coil 1, which is less than, to be sent out
The diameter of ray circle 2, and source coil 1 and transmitting coil 2 are coaxially coplanar with；Receiving end includes receiving coil 3 and loading coil
4, the diameter of loading coil 4 is less than the diameter of receiving coil 3, and receiving coil 3 and loading coil 4 are coaxially coplanar with, load
The connection load of coil 4, transmitting terminal and receiving end are parallel to each other, and the center of circle is on the same axis, and four of transmitting terminal and receiving end
Coil is respectively connected with compensating electric capacity, wherein source coil 1 is equal with the compensating electric capacity of loading coil 4, transmitting coil 2 and reception line
The compensating electric capacity of circle 3 is equal, by compensating electric capacity, the resonance frequency for making each coil be circuit quality where each coil because
Number corresponding frequency when maximum.Inputting pressure regulation filter module and output rectifying and pressure-regulating filter module is existing apparatus, no longer superfluous
It states.
Wherein, source coil 1 is equal with the radius of loading coil 4, is r1=5cm, transmitting coil 2 and receiving coil 3
Radius is equal, is r2=10cm, source coil 1, transmitting coil 2, receiving coil 3 and loading coil 4 are all made of by coat of paint copper wire
Spiral winding made of coiling, the number of turns of four spiral windings and turn-to-turn are away from being equal, the number of turns N=10, turn-to-turn away from for d=3mm,
The cross sectional radius of coat of paint copper wire is rc=1.1mm.
AC power source is system power supply, and input pressure regulation filter module will be sent to after AC process that AC power source exports
Source coil 1, source coil 1 send energy to transmitting coil 2 by effect inductively, and source coil 1 and transmitting coil 2 are together
Energy is sent to receiving coil 3 and loading coil 4 as transmitting terminal, and the received energy in receiving end is by output rectifying and pressure-regulating filter
AC conversion is direct current, is finally supplied to load by wave module.
A kind of design method of high efficiency wireless charging power supply, successively the following steps are included:
(1) the radius r of source coil 1 and loading coil 4 is set1, the radius r of transmitting coil 2 and receiving coil 32, four lines
The number of turns N of circle, the cross sectional radius r of enamel covered wirecAnd the turn-to-turn of spiral winding is away from d；
(2) the optimal resonance frequency f of source coil 1 and loading coil 4 is calculated1And transmitting coil 3 and receiving coil 4 are most
Excellent resonance frequency f2；
1. the quality factor formula of coil is as follows:
Wherein,
Wherein, RohmIndicate thermal resistance, RradIndicate radiation resistance, frIndicate coil resonance frequency, L indicates self-induction of loop, c
Indicate the light velocity, μ0Indicate space permeability, ρ indicates resistivity, and N is coil turn, and r indicates coil radius, rcIndicate coil cross-sectional
Radius surface, subscript ohm, rad, r and c are differentiation effect, and non-variables；
2. formula (2) are substituted into formula (1), can obtain:
By formula (3) it is found that after loop construction determines, quality factor q only with the resonance frequency f of coilrIt is related, i.e.,
Q=α fr, α is definite value；
3. to the resonance frequency f of quality factor q and coilrRelational expression differentiate, i.e.,
To obtain corresponding coil resonance frequency when quality factor q maximum are as follows:
It brings the parameter of each coil into formula (5) respectively, the optimal resonance of source coil 1 Yu loading coil 4 can be acquired
Frequency f1And the optimal resonance frequency f of transmitting coil 2 and receiving coil 32, wherein subscript m=1,2；
(3) the compensating electric capacity C of source coil 1 and loading coil 4 is calculated1And the compensation electricity of transmitting coil 2 and receiving coil 3
Hold C2；
The inductance L of source coil 1 Yu loading coil 4 can be acquired by formula (2)1And the electricity of transmitting coil 2 and receiving coil 3
Feel L2, according to the relational expression between capacitor and frequency:
The optimal resonance frequency f of the coil that step (2) is calculatedmIt substitutes into formula (6), source coil 1 can be obtained and bears
Carry the compensating electric capacity C of coil 41And the compensating electric capacity C of transmitting coil 2 and receiving coil 32；
(4) power supply optimal frequency f is calculated0；
According to the equivalent circuit diagram of transmitting terminal and receiving end, the KVL equation that can obtain each circuit is as follows:
Wherein, Z11=RS+R1+j(ωL1-1/ωC1), indicate the impedance loop of source coil 1, Z22=R2+j(ωL2-1/ω
C2), indicate the impedance loop of transmitting coil 2, Z33=R3+j(ωL2-1/ωC2), indicate the impedance loop of receiving coil 3, Z44=
RL+R4+j(ωL1-1/ωC1), indicate the impedance loop of loading coil 4, Mij(i ≠ j, i, j=1,2,3,4) is mutual between coil
Sense, Ii(i=1,2,3,4) is electric current in circuit, and Rs is the internal resistance of source, R1、R2、R3And R4Respectively source coil 1, transmitting coil 2,
The internal resistance of receiving coil 3 and loading coil 4, RLFor load resistance, L1Indicate the inductance of source coil 1 and the inductance of loading coil 4,
L2Indicate the inductance of transmitting coil 2 and the inductance of receiving coil 3, C1Indicate the compensating electric capacity of source coil 1 and the benefit of loading coil 4
Repay capacitor, C2Indicate the compensating electric capacity of transmitting coil 2 and the compensating electric capacity of receiving coil 3, the π of ω=2 f, f are supply frequency；
By can be calculated relationship between electric current:
As internal resistance of source Rs and load resistance RLWhen equal, power-efficient η and positive transmission coefficient S21Between relationship such as
Under:
η=| S21|2 (11)
Positive transmission coefficient S21Relationship between supply frequency f is as follows:
In formula, Rs and RLThe respectively internal resistance of source and load resistance, remaining parameters define identical as formula (7)；
Using MATLAB to positive transmission coefficient S21Relational expression (12) derivation between supply frequency f, and enable
One group of Frequency point corresponding with maximum and minimum can be acquired, all Frequency points acquired are substituted into formula
(12), positive transmission coefficient S can be obtained by comparing21Maximum value, the corresponding Frequency point f of maximum value is the optimal frequency of power supply
Rate f0。
Fig. 4 is the frequency comparison figure of present invention wireless energy transfer mode identical with traditional four coil resonance frequencies,
As shown in Figure 4, the identical wireless energy transfer mode of traditional four coil resonance frequencies, when between transmitting terminal and receiving end away from
When from being less than 37cm, positive transmission coefficient S21Value be greater than near 0.8, but when the distance between transmitting terminal and receiving end
When 37cm, positive transmission coefficient S21Value decline rapidly, and wireless energy transfer mode proposed by the present invention, when transmitting terminal with connect
When receiving end distance is less than 55cm, positive transmission coefficient S21Value float between 0.9-1, the value of positive transmission coefficient 55cm it
After begin to decline, but decrease speed is slow, when distance is equal to 65cm between transmitting terminal and receiving end, positive transmission coefficient S21
Value still near 0.8, as shown in Figure 4, present invention wireless energy transfer mode more identical than traditional four coil resonance frequencies
Efficiency of transmission is high, long transmission distance.
Fig. 5 be the present invention with the identical wireless energy transfer mode of four coil resonance frequencies of tradition at each distance just
To transmission coefficient S21The comparison diagram of maximum value, the frequency in Fig. 5 are positive transmission coefficient S in Fig. 421The corresponding frequency of maximum value
Rate point, as shown in Figure 5, the identical wireless energy transfer mode of four coil resonance frequencies of tradition, positive transmission coefficient maximum value
Corresponding frequency is about 37MHz, and wireless energy transfer mode proposed by the present invention, the corresponding frequency of positive transmission coefficient maximum value
Rate is about 23MHz, in wireless energy transmission technology field, it is generally accepted that supply frequency is bigger, and energy transmission distance is remoter, passes
Defeated efficiency is higher, but supply frequency of the invention wireless energy transfer identical well below traditional four coil resonance frequencies
The frequency of mode, but efficiency of transmission is far longer than the identical wireless energy of traditional four coil resonance frequencies with transmission range
Transmission mode.
The present invention substantially increases the efficiency of transmission and transmission range of energy it can be seen from Fig. 4 and Fig. 5, realizes nothing
The high efficiency of line power supply, remote charging.
Claims (6)
1. a kind of high efficiency wireless charging power supply, including AC power source, input pressure regulation filter module, transmitting terminal, receiving end and defeated
Rectifying and pressure-regulating filter module out, output rectifying and pressure-regulating filter module connection load, it is characterised in that: the transmitting terminal includes source line
Circle and transmitting coil, source coil connection input pressure regulation filter module, the diameter of source coil are less than the diameter of transmitting coil, and source line
Circle and transmitting coil are coaxially coplanar with, and the receiving end includes receiving coil and loading coil, and the diameter of loading coil is less than
The diameter of receiving coil, and receiving coil and loading coil are coaxially coplanar with, loading coil connection load, the transmitting terminal and
Receiving end is parallel to each other, and the center of circle is on the same axis, and four coils of transmitting terminal and receiving end are respectively connected with compensating electric capacity,
In, source coil is equal with the compensating electric capacity of loading coil, and transmitting coil is equal with the compensating electric capacity of receiving coil, passes through compensation electricity
Hold, corresponding frequency when the resonance frequency of each coil being made to be circuit quality factor maximum where each coil；The exchange
Power supply is system power supply, and input pressure regulation filter module will be sent to source coil, source line after AC process that AC power source exports
Circle sends energy to transmitting coil by effect inductively, and source coil and transmitting coil are used as transmitting terminal by energy together
Send receiving coil and loading coil to, the received energy in receiving end turns alternating current by output rectifying and pressure-regulating filter module
Direct current is turned to, load is finally supplied to.
2. a kind of high efficiency wireless charging power supply as described in claim 1, it is characterised in that: the source coil and loading coil
Radius it is equal, transmitting coil is equal with the radius of receiving coil.
3. a kind of high efficiency wireless charging power supply as claimed in claim 2, it is characterised in that: the source coil and loading coil
Radius be r1The radius of=5cm, transmitting coil and receiving coil is r2=10cm.
4. a kind of high efficiency wireless charging power supply as claimed in claim 2, it is characterised in that: the source coil, transmitting coil,
Receiving coil and loading coil are all made of the spiral winding as made of coat of paint copper wire winding, the number of turns and turn-to-turn of four spiral windings
Away from being equal.
5. a kind of high efficiency wireless charging power supply as claimed in claim 4, it is characterised in that: the number of turns of four coils is N
=10, turn-to-turn is r away from the cross sectional radius for d=3mm, coat of paint copper wirec=1.1mm.
6. the design method of high efficiency wireless charging power supply described in claim 5, which is characterized in that successively include following step
It is rapid:
(1) the radius r of source coil and loading coil is set1, the radius r of transmitting coil and receiving coil2, the number of turns of four coils
N, the cross sectional radius r of enamel covered wirecAnd the turn-to-turn of spiral winding is away from d；
(2) the optimal resonance frequency f of source coil and loading coil is calculated1With the optimal resonance frequency of transmitting coil and receiving coil
f2；
1. the quality factor formula of coil is as follows:
Wherein,
Wherein, RohmIndicate thermal resistance, RradIndicate radiation resistance, frIndicate coil resonance frequency, L indicates that self-induction of loop, c indicate
The light velocity, μ0Indicate space permeability, ρ indicates resistivity, and N is coil turn, and r indicates coil radius, rcIndicate coil section half
Diameter, subscript ohm, rad, r and c are differentiation effect, and non-variables；
2. formula (2) are substituted into formula (1), can obtain:
By formula (3) it is found that after loop construction determines, quality factor q only with the resonance frequency f of coilrIt is related, i.e. Q=
α·fr, α is definite value；
3. to the resonance frequency f of quality factor q and coilrRelational expression differentiate, can obtain:
To obtain corresponding coil resonance frequency when quality factor maximum are as follows:
It brings the parameter of each coil into formula (5) respectively, the optimal resonance frequency f of source coil and loading coil can be acquired1,
And the optimal resonance frequency f of transmitting coil and receiving coil2, wherein subscript m=1,2；
(3) the compensating electric capacity c of source coil and loading coil is calculated1And the compensating electric capacity C of transmitting coil and receiving coil2；
The inductance L of source coil and loading coil can be acquired by formula (2)1And the inductance L of transmitting coil and receiving coil2, according to
Relational expression between capacitor and frequency
The optimal resonance frequency f of the coil that step (2) is calculatedmIt substitutes into formula (6), source coil and loading coil can be obtained
Compensating electric capacity C1And the compensating electric capacity C of transmitting coil and receiving coil2；
(4) power supply optimal frequency f is calculated0；
According to the equivalent circuit diagram of transmitting terminal and receiving end, the KVL equation that can obtain each circuit is as follows:
Wherein, Z11=RS+R1+j(ωL1-1/ωC1), indicate the impedance loop of source coil, Z22=R2+j(ωL2-1/ωC2), table
Show the impedance loop of transmitting coil, Z33=R3+j(ωL2-1/ωC2), indicate the impedance loop of receiving coil, Z44=RL+R4+j
(ωL1-1/ωC1), indicate the impedance loop of loading coil, Mij(i ≠ j, i, j=1,2,3,4) mutual inductance between coil, Ii(i=
It 1,2,3,4) is electric current in circuit, Rs is the internal resistance of source, R1、R2、R3And R4Respectively source coil, transmitting coil, receiving coil and
The internal resistance of loading coil, RLFor load resistance, L1Indicate the inductance of source coil and the inductance of loading coil, L2Indicate transmitting coil
Inductance and receiving coil inductance, C1Indicate the compensating electric capacity of source coil and the compensating electric capacity of loading coil, C2Indicate emission lines
The compensating electric capacity of circle and the compensating electric capacity of receiving coil, the π of ω=2 f, f are supply frequency；
By can be calculated relationship between electric current:
As internal resistance of source Rs and load resistance RLWhen equal, power-efficient η and positive transmission coefficient S21Between relationship it is as follows:
η=| S21|2 (11)
Positive transmission coefficient S21Relationship between supply frequency f is as follows:
In formula, Rs and RLThe respectively internal resistance of source, load resistance, remaining parameters define identical as formula (7)；
Using MATLAB to positive transmission coefficient S21Relational expression (12) derivation between supply frequency f, and enable
One group of Frequency point corresponding with maximum and minimum can be acquired, all Frequency points acquired are substituted into formula (12),
Positive transmission coefficient S can be obtained by comparing21Maximum value, the corresponding Frequency point f of maximum value is the optimal frequency f of power supply0。
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| CN111245108A (en) * | 2020-01-16 | 2020-06-05 | 福州大学 | SS compensation-based optimal design method for turns of transmitting and receiving coils of wireless power transmission magnetic coupling system |
| CN111245108B (en) * | 2020-01-16 | 2021-07-13 | 福州大学 | Optimal design method for turns of coil of wireless power transmission magnetic coupling system |
| CN114825565A (en) * | 2022-04-19 | 2022-07-29 | 湖北工业大学 | Method for designing transmitting unit of dynamic wireless charging system of electric automobile |
| CN114825565B (en) * | 2022-04-19 | 2024-04-19 | 湖北工业大学 | Method for designing transmitting unit of dynamic wireless charging system of electric automobile |
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Application publication date: 20190219 |