CN103915913B - Fractional order parallel-series resonance wireless power transmission system - Google Patents

Fractional order parallel-series resonance wireless power transmission system Download PDF

Info

Publication number
CN103915913B
CN103915913B CN201410129860.5A CN201410129860A CN103915913B CN 103915913 B CN103915913 B CN 103915913B CN 201410129860 A CN201410129860 A CN 201410129860A CN 103915913 B CN103915913 B CN 103915913B
Authority
CN
China
Prior art keywords
fractional order
inductance
secondary
former limit
electric capacity
Prior art date
Application number
CN201410129860.5A
Other languages
Chinese (zh)
Other versions
CN103915913A (en
Inventor
张波
黄润鸿
丘东元
Original Assignee
华南理工大学
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 华南理工大学 filed Critical 华南理工大学
Priority to CN201410129860.5A priority Critical patent/CN103915913B/en
Publication of CN103915913A publication Critical patent/CN103915913A/en
Application granted granted Critical
Publication of CN103915913B publication Critical patent/CN103915913B/en

Links

Abstract

The invention provides a fractional order parallel-series resonance wireless power transmission system which comprises a high-frequency power source, a transmitting portion, a receiving portion and a load. The transmitting portion comprises a primary side fractional order capacitor and a primary side fractional order inductor which are connected in series. The primary side fractional order inductor is provided with a primary side resistor. The receiving portion comprises a secondary side fractional order capacitor and a secondary side fractional order inductor which are connected in parallel. The secondary side fractional order inductor is provided with a secondary side resistor. Wireless power transmission is achieved through a fractional order element, the dimensionality of parameter design is increased, and the fractional order parallel-series resonance wireless power transmission system is completely different from a traditional wireless power transmission system achieved through an integer order element.

Description

A kind of fractional order series-multiple connection resonant radio can transmit system

Technical field

The invention belongs to wireless power transmission or the field of wireless power transmission technology, particularly to a kind of fractional order Series-multiple connection resonant radio can transmit system.

Background technology

Wireless power transmission or wireless power transmission technology before more than 100 years just by American inventor tesla (Nicola Tesla) is attempted experimentally.2006, the research of the Massachusetts Institute of Technology (MIT) Personnel utilize the resonance technique of physics successfully to light one in 2m distance left and right with the efficiency of 40% The bulb of 60W, this experiment is not only the reproduction of tesla's experiment, especially wireless power transmission technology Another new breakthrough, and started the upsurge of wireless power transmission research.

Wireless power transmission technology is the electric energy transmission means of a kind of wide application prospect, have safety, can Lean on, flexibly, the advantage such as convenient, be increasingly subject to the attention of countries in the world, and the most extensively applied In the various places be not suitable for or be inconvenient to use conductive contact transmission electric energy, as implantable medical device, Mobile electronic product, robot, rail electric car such as are powered at the occasion, and be expected in the near future can be Small-power electronic product wireless charging aspect replaces traditional plug charging.

Current radio energy transmission system is all based on integer rank inductance, electric capacity realizes, its resonance frequency Rate is only determined by inductance value and capacitance, and therefore, the design of its system only need to consider parameter value, it is not necessary to considers The exponent number of element, the degree of freedom of design is fewer.Meanwhile, the element of real system is substantially fractional order , but the most exponent number in current reality is close to 1, neglects completely during for fractional order Slightly.Traditional modeling by integer rank designs radio energy transmission system, under certain conditions, and reason Opinion and actual error may be the biggest.

Fractional order device (such as fractional order electric capacity and fractional order inductance) concept derive from fractional calculus Generation, and the concept of fractional calculus has had the history of more than 300 year, almost micro-with integer rank long-pending Divide and be born simultaneously.But owing to fractional order is more complicated, and the most good numerical analysis tools, Therefore it is constantly in the theory analysis stage.In recent decades, due to biotechnology, macromolecular material etc. Development, it has been found that integer rank calculus can not well explain the phenomenon that nature exists, and therefore divides Number rank calculus starts to be paid attention to, and starts to be applied to engineering field, its control field research and Apply the most perfect.Meanwhile, the fractional order device at two ends is manufactured at laboratory.But point Number rank some special character of Circuits and Systems are studied, and the application in wireless power transmission field is more It is not to be mentioned.

In view of current fractional order element or fractional order circuit huge advantage in some aspects, and it is the most not It is applied to wireless power transmission field, it is therefore necessary to propose a kind of fractional order string-resonant radio energy Transmission system.

Summary of the invention

It is an object of the invention to overcome above-mentioned the deficiencies in the prior art, it is provided that a kind of fractional order series-multiple connection is humorous Shake radio energy transmission system.

The present invention is achieved through the following technical solutions:

A kind of fractional order series-multiple connection resonant radio can transmit system, including high frequency power source VS, emission part Point, receiving portion and load RL;Emitting portion includes the former limit fractional order electric capacity being connected in seriesWith former limit Fractional order inductanceFormer limit fractional order inductanceThere is former limit resistance RP;Receiving portion includes being connected in parallel Secondary fractional order electric capacityWith secondary fractional order inductanceSecondary fractional order inductanceThere is secondary resistance RS

Described a kind of fractional order series-multiple connection resonant radio can transmit system, former limit fractional order electric capacity、 Secondary fractional order electric capacityVoltage, current differential relation is satisfied by:Phase relation is full Foot:Wherein, iCFor fractional order capacitance current, vCFor fractional order capacitance voltage, α is mark The exponent number of rank electric capacity, and 0 < α≤2, CαValue for fractional order electric capacity.

Described a kind of fractional order series-multiple connection resonant radio can transmit system, former limit fractional order inductance、 Secondary fractional order inductanceVoltage, current differential relation is satisfied by:Phase relation meets:Wherein, vLFor the voltage of fractional order inductance, iLFor the electric current of fractional order inductance, β is mark The exponent number of rank inductance, and 0 < β≤2, LβValue for fractional order inductance.

Described a kind of fractional order series-multiple connection resonant radio can transmit system, emitting portion and receiving portion Between be the wireless power transmission that realizes by the way of the coupling of fractional order circuit series-multiple connection resonance.

The operation principle of the present invention is: emitting portion and receiving portion are respectively by former limit fractional order electric capacity CPα、 Former limit fractional order inductance, former limit resistance RP, secondary fractional order electric capacity, secondary fractional order inductance、 Secondary resistance RSConstitute fractional order RLC series-multiple connection resonance circuit, emitting portion and receiving portion by humorous The mode of coupling of shaking realizes being wirelessly transferred of electric energy.

Compared with prior art, present invention have the advantage that

1, the wireless power transmission using fractional order element to realize, is different from conventional radio energy completely and passes Communication system, adds the degree of freedom of parameter designing.

2, by designing the exponent number of selection element, the resonance frequency of radio energy transmission system can be substantially reduced Rate, thus reduce the requirement to power electronic devices, it is very beneficial for the design of real system.

3, by designing suitable fractional order exponent number, through-put power can be made bigger.

Accompanying drawing explanation

Fig. 1 is the schematic diagram that the fractional order series-multiple connection resonant radio of the present invention can transmit system.

Fig. 2 is α=1.2, output during β=0.9 and the relation curve of frequency f.

Fig. 3 is α=0.8, efficiency of transmission during β=0.9 and the relation curve of frequency f.

Fig. 4 is α=1.2, output during β=1.5 and the relation curve of frequency f.

Fig. 5 is α=0.8, output during β=1.2 and the relation curve of frequency f.

Specific embodiments

It is embodied as being further described to invention below in conjunction with accompanying drawing, but the enforcement of the present invention and protection It is not limited to this.

Embodiment

As it is shown in figure 1, the signal of system can be transmitted for the fractional order series-multiple connection resonant radio of the present invention Figure, below in conjunction with the operation principle of this figure explanation present invention.In Fig. 1, high frequency power source VS, former limit divides Number rank electric capacity, former limit fractional order inductanceWith former limit resistance RPConnect and compose series resonance;Secondary mark Rank electric capacity, secondary fractional order inductance, secondary resistance RSWith load RLConnect and compose parallel resonance;Send out Penetrate part and receiving portion realizes wireless power transmission by mutual inductance M.For the convenience analyzed, make former limit Fractional order electric capacityWith secondary fractional order electric capacityParameter is consistent, and omits upper and lower mark, is designated as C;Order Former limit fractional order inductanceWith secondary fractional order inductanceParameter is consistent, and omits upper and lower mark, is designated as L; Make former limit resistance RPWith secondary resistance RSFor R.Then can obtain the Fractional Differential Equation of system:

v s = v C 1 + L d β i 1 dt β + M d β i 2 dt β + i 1 R

0 = i 2 + C d α v C 2 dt α + v C 2 R L

i 1 = C d α v cl dt α

v C 2 = L d β i 2 dt β + M d β i 1 dt β + i 2 R

In formula, vSFor the transient expression form of high frequency power source, i1For former limit fractional order inductive current,

For secondary fractional order inductive current, vC1For former limit fractional order capacitance voltage, vC2For secondary fractional order electricity

Voltage.The differential equation of said system can be obtained by Laplace transform:

VS(s)=VC1(s)+sβLI1(s)+sβMI2(s)+I1(s)R

0 = I 2 ( s ) + s α CV C 2 ( s ) + V C 2 ( s ) R L

I1(s)=sαCVC1(s)

VC2(s)=sβLI2(s)+sβMI1(s)+I2(s)R

Symbol in above equation group is Laplace transform form, has one by one with the differential equation of system Corresponding relation, i.e. I1For former limit loop current, I2For secondary loop electric current, VC1For former limit fractional order electric capacity Voltage, VC2For secondary fractional order capacitance voltage.Solve:

VC2(s)=sβMVS(s)/

In a frequency domain, there is s=j ω.Then can be in the hope of output PoFor:

P o = V C 2 2 / R L

From the expression formula of output, the size of output is main and mutual inductance M, operating angle frequency Exponent number α with β is relevant for ω, fractional order.Analyze further below, the operating angle frequency shadow to output Ringing, other parameters keep constant.A kind of fractional order series-multiple connection resonant radio can transmit the concrete ginseng of system Number is: VS=10V, L=100 μ H, C=0.2533nF, RL=50 Ω, coefficient of coup k=0.1(and mutual inductance M=k × L), α=1.2, β=0.9, R=0.5 Ω.Then output and relation curve such as Fig. 2 of frequency f Shown in.Integer level system is the resonance frequency of (i.e. α=1, β=1, other parameter constants) under same parameter Rate is 1MHz, and as shown in Figure 2, the resonant frequency of system is less than 1MHz.As can be seen here, permissible The resonance frequency of fractional order circuit parallel resonance radio energy transmission system is reduced by choosing fractional order exponent number Rate, thus the design of beneficially radio energy transmission system.

1) α is worked as>1,<when 1, as an example, a kind of fractional order series-multiple connection resonant radio can transmit system to β The design parameter of system is: VS=10V, L=100 μ H, C=0.2533nF, RL=50 Ω, coefficient of coup k=0.1 (and mutual inductance M=k × L), α=1.2, β=0.9, R=0.5 Ω.Then output is bent with the relation of frequency f Line is as shown in Figure 2.Integer level is united under same parameter (i.e. α=1, β=1, other parameter constants) Resonant frequency be 1MHz, and as shown in Figure 2, the resonant frequency of system is less than 1MHz.Thus may be used See, fractional order circuit parallel resonance radio energy transmission system can be reduced by choosing fractional order exponent number Resonant frequency, thus the design of beneficially radio energy transmission system.

2) as α < 1, β, < when 1, as an example, a kind of fractional order series-multiple connection resonant radio can transmit system The design parameter of system is: VS=10V, L=100 μ H, C=0.2533nF, RL=50 Ω, coefficient of coup k=0.1 (and mutual inductance M=k × L), α=0.8, β=0.9, R=0.5 Ω.Then output is bent with the relation of frequency f Line is as it is shown on figure 3, this situation can be greatly improved the resonant frequency of system, and output is the least, Real system is not intended to this situation occur, should avoid during design.

3) work as α > 1, β > 1 time, as an example, a kind of fractional order series-multiple connection resonant radio can transmit system The design parameter of system is: VS=10V, L=100 μ H, C=0.2533nF, RL=50 Ω, coefficient of coup k=0.1 (and mutual inductance M=k × L), α=1.2, β=0.9, R=0.5 Ω.Then output is bent with the relation of frequency f Line is as shown in Figure 4.Although this situation reduces the resonant frequency of system, but output paying no attention to Think, therefore also should avoid during design.

4) as α<1, β>1, this situation is more complicated, and resonant frequency is with the change of fractional order exponent number Bigger.As an example, fractional order series-multiple connection resonant radio can transmit the design parameter of system and is: VS=10V, L=100 μ H, C=0.2533nF, RL=50 Ω, coefficient of coup k=0.1(and mutual inductance M=k × L), α=0.8, β=1.2, R=0.5 Ω.Then the relation curve of output and frequency f is as shown in Figure 5.This Although situation reduces the resonant frequency of system, but substantially can not realize the transmission of power, when therefore designing Also should avoid.

Situation described above is for equally applicable during α=β.

Above-described embodiment is the present invention preferably embodiment, but embodiments of the present invention are not by described reality Execute the restriction of example, the change made under other any spirit without departing from the present invention and principle, modification, Substitute, combine, simplify, all should be the substitute mode of equivalence, within being included in protection scope of the present invention.

Claims (1)

1. fractional order series-multiple connection resonant radio can transmit a system, including high frequency power source (VS)、 Emitting portion, receiving portion and load (RL);It is characterized in that emitting portion includes being connected in series former Limit fractional order electric capacityWith former limit fractional order inductanceFormer limit fractional order inductanceHave Former limit resistance (RP);Receiving portion includes the secondary fractional order electric capacity being connected in parallelDivide with secondary Number rank inductanceSecondary fractional order inductanceThere is secondary resistance (RS);Former limit fractional order electricity HoldSecondary fractional order electric capacityVoltage, current differential relation is satisfied by: Phase relation meets:Wherein, iCFor fractional order capacitance current, vCFor fractional order capacitance voltage, α is the exponent number of fractional order electric capacity, and 1 < α≤2, CαValue for fractional order electric capacity;Former limit fractional order electricity SenseSecondary fractional order inductanceVoltage, current differential relation is satisfied by: Phase relation meets:Wherein, vLFor the voltage of fractional order inductance, iLFor fractional order inductance Electric current, β is the exponent number of fractional order inductance, and 0 < β≤2, LβValue for fractional order inductance.
CN201410129860.5A 2014-03-31 2014-03-31 Fractional order parallel-series resonance wireless power transmission system CN103915913B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410129860.5A CN103915913B (en) 2014-03-31 2014-03-31 Fractional order parallel-series resonance wireless power transmission system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410129860.5A CN103915913B (en) 2014-03-31 2014-03-31 Fractional order parallel-series resonance wireless power transmission system

Publications (2)

Publication Number Publication Date
CN103915913A CN103915913A (en) 2014-07-09
CN103915913B true CN103915913B (en) 2017-01-11

Family

ID=51041384

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201410129860.5A CN103915913B (en) 2014-03-31 2014-03-31 Fractional order parallel-series resonance wireless power transmission system

Country Status (1)

Country Link
CN (1) CN103915913B (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107104513A (en) * 2017-05-03 2017-08-29 华南理工大学 A kind of series compensation type fractional order inductively radio energy transmission system

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7825543B2 (en) * 2005-07-12 2010-11-02 Massachusetts Institute Of Technology Wireless energy transfer
CN203827070U (en) * 2014-03-31 2014-09-10 华南理工大学 Fractional-order serial-parallel connected resonance wireless power transmission system

Also Published As

Publication number Publication date
CN103915913A (en) 2014-07-09

Similar Documents

Publication Publication Date Title
Agbinya Wireless power transfer
Ho et al. A comparative study between novel witricity and traditional inductive magnetic coupling in wireless charging
Thrimawithana et al. A generalized steady-state model for bidirectional IPT systems
Hui et al. A critical review of recent progress in mid-range wireless power transfer
RU2549838C2 (en) Installation for contact-free energy supply and method for contact-free energy supply
Fu et al. A cascaded boost–buck converter for high-efficiency wireless power transfer systems
Jegadeesan et al. Topology selection and efficiency improvement of inductive power links
Lee et al. Effects of magnetic coupling of nonadjacent resonators on wireless power domino-resonator systems
WO2012147339A1 (en) Wireless power transmission device
RU2010138863A (en) Method and device for transmission of electric energy (options)
CN103443883B (en) Device and method for wireless power transfer
JP2010011654A (en) Power transmitter, power supplying device, and power receiving device
US9362983B2 (en) Method and apparatus for controlling resonance bandwidth in a wireless power transmission system
US8310202B2 (en) Off-resonance frequency operation for power transfer in a loosely coupled air core transformer
CN105393432B (en) Wireless power transmission system and power transmission device
US9692238B2 (en) Wireless power transmission system and power transmitting device
US20140175868A1 (en) Electric power supply apparatus, contactless electricity transmission apparatus, vehicle, and contactless electric power transfer system
Jolani et al. A planar magnetically coupled resonant wireless power transfer system using printed spiral coils
CN104218640B (en) There is the wireless charging system of multi load frequency adaptability
EP2997642B1 (en) Wireless power transmission for battery charging
Lu et al. A double-sided LC-compensation circuit for loosely coupled capacitive power transfer
Dang et al. Reconfigurable magnetic resonance-coupled wireless power transfer system
Aditya et al. Comparative study of Series-Series and Series-Parallel compensation topologies for electric vehicle charging
US20110316347A1 (en) Wireless power receiving apparatus
Jiang et al. An overview of resonant circuits for wireless power transfer

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant