CN107086675A - A kind of shunt compensation type fractional order inductively radio energy transmission system - Google Patents
A kind of shunt compensation type fractional order inductively radio energy transmission system Download PDFInfo
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Abstract
The invention discloses a kind of shunt compensation type fractional order inductively radio energy transmission system, including emitting portion, receiving portion and the current source being connected with emitting portion and the load being connected with the receiving portion, emitting portion includes transmitting terminal fractional order and compensates network, fractional order inductive emitter coil and radiating circuit internal resistance, it is in parallel with transmitting terminal fractional order compensation network after fractional order inductive emitter coil and radiating circuit internal resistance series connection, receiving portion includes receiving terminal fractional order and compensates network, fractional order inductance receiving coil and receiving circuit internal resistance, it is in parallel with receiving terminal fractional order compensation network after fractional order inductance receiving coil and receiving circuit internal resistance series connection.The present invention is inductively realized wireless power transmission using fractional order inductance coil, the network of transmitting terminal fractional order compensation simultaneously is parallel to compensation system reactive power in emitting portion, receiving terminal fractional order compensation network is parallel to compensation system reactive power in receiving portion, System Parameter Design is flexible, it is easy to optimize.
Description
Technical field
The present invention relates to wireless power transmission or the technical field of wireless power transmission, a kind of shunt compensation type fraction is referred in particular to
Rank inductively radio energy transmission system.
Background technology
Before more than 100 years, Ni Gula teslas (Nikola Tesla) point in the case of not any wire connection
Bright bulb, it was demonstrated that the feasibility of electric energy wireless transmission.Because radio energy technology is a kind of contactless electric energy transmission
Technology, with safe and reliable, flexible advantage, increasing scholar is put into wireless power transmission field.
At present, the implementation of wireless power transmission includes:Magnetic induction coupling, magnetic resonance coupling, field coupling, microwave,
Laser etc..Wherein magnetic induction coupling wireless power transmission is extremely wide in engineer applied, such as implantable medical device, electric tooth
Brush, mobile phone, electric automobile etc..Current magnetic induction coupling radio energy transmission system is all based on the realization of integer rank element.
The concept source of fractional order element (i.e. fractional order inductance and fractional order electric capacity) is in fractional calculus.In fact,
Integer rank inductance, capacity cell is in nature and is not present, and the inductance that simply uses at present, the fractional order of electric capacity are close to 1.
As people deepen continuously to inductance, capacitance characteristic understanding, start to consider their fractional order influence, or purposefully utilize
Their fractional order improves circuit performance, and has also been proved to than integer rank element more advantage in some application scenarios,
Application such as in impedance matching circuit.However, fractional order element is in shunt compensation type inductively wireless power transmission system
Application in system is never mentioned, therefore proposes that inductively radio energy transmission system has a kind of shunt compensation type fractional order
Real value.
The content of the invention
It is an object of the invention to overcome the deficiencies in the prior art, there is provided a kind of shunt compensation type fractional order sense with shortcoming
Radio energy transmission system should be coupled, being wirelessly transferred for electric energy, fraction are inductively realized using fractional order inductance coil
Magnetic linkage or voltage that rank inductance coil is produced, it is not only related to inductance value and related to its fractional order, and fractional order is compensated
The reactive power of network building out is also related to fractional order element exponent number therein, and parameter designing is flexible, it is easy to optimize, and performance is complete
It is different from conventional parallel offset-type integer rank induction type radio energy transmission system.
To achieve the above object, technical scheme provided by the present invention is:A kind of shunt compensation type fractional order is inductively
Radio energy transmission system, including emitting portion, receiving portion and the current source being connected with the emitting portion and with the acceptance division
Divide the load of connection, it is electric that the emitting portion includes transmitting terminal fractional order compensation network, fractional order inductive emitter coil and transmitting
It is in parallel with transmitting terminal fractional order compensation network after road internal resistance, the fractional order inductive emitter coil and radiating circuit internal resistance series connection,
The transmitting terminal fractional order compensation network is parallel to compensation system reactive power in emitting portion, and the receiving portion includes receiving
Hold fractional order compensation network, fractional order inductance receiving coil and receiving circuit internal resistance, the fractional order inductance receiving coil and connect
Receive in parallel with receiving terminal fractional order compensation network after circuit internal resistance series connection, the receiving terminal fractional order compensation network is parallel to reception
Compensation system reactive power in part;The fractional order inductive emitter coil and fractional order inductance receiving coil pass through electromagnetic induction
Being wirelessly transferred for electric energy is realized in coupling;The transmitting terminal fractional order compensation network and receiving terminal fractional order compensation network difference are at least
Include a fractional order electric capacity.
The voltage of the fractional order inductive emitter coil, current differential relation are met:Phase relation is metImpedance is:In formula, iL1For fraction
Rank inductive emitter coil current, vL1For fractional order inductive emitter coil voltage, β1For the self-induction point of fractional order inductive emitter coil
Number exponent number, and 0 < β1≤ 2, Lβ1It is fractional order inductive emitter coil from inductance value, works as β1When taking 1, fractional order inductive emitter line
Circle is integer rank inductance coil;The voltage of the fractional order inductance receiving coil, current differential relation are met:
Phase relation is metImpedance is:
In formula, iL2For fractional order inductance receiving coil electric current, vL2For fractional order inductance receiving coil voltage, β2Received for fractional order inductance
The self-induction fractional order of coil, and 0 < β2≤ 2, Lβ2It is fractional order inductance receiving coil from inductance value, works as β2When taking 1, fraction
Rank inductance receiving coil is integer rank inductance coil;The fractional order inductive emitter coil and fractional order inductance receiving coil
Mutual inductance value is that M, mutual inductance exponent number are γ, and the voltage of mutual inductance, current differential relation are metOr
The voltage v of the fractional order electric capacityCWith electric current iCDifferential relationship is met:Phase relation is metImpedance is:Wherein fractional order exponent number is expired
0 < α≤2, C of footαFor fractional order capacitor's capacity, ω is the work angular frequency of system, when the exponent number of fractional order electric capacity is 1, i.e.,
For integer rank electric capacity.
The present invention compared with prior art, has the following advantages that and beneficial effect:
1st, inductively wireless power transmission is realized using fractional order inductance, adds the free degree of parameter designing, completely
It is different from conventional integer rank inductively radio energy transmission system.
2nd, using the compensation network comprising fractional order electric capacity, not only system can be can also compensate for compensation system reactive power
Active power, and the power of compensation is relevant with element exponent number, and parameter designing is flexible, and conventional integer rank is different from completely simultaneously
Join the inductively radio energy transmission system of compensation.
3rd, by being suitably designed fractional order exponent number, transimission power can be made and more efficient.
Brief description of the drawings
Fig. 1 for the shunt compensation type fractional order inductively radio energy transmission system of the present invention structural representation.
Fig. 2 is the physical circuit figure of present system in embodiment.
Fig. 3 be embodiment in α=β when power output and mutual inductance relation curve.
Fig. 4 is when in embodiment being α=β efficiency and the relation curve of mutual inductance.
Fig. 5 is when in embodiment being α ≠ β power output and the relation curve of mutual inductance.
Fig. 6 is when in embodiment being α ≠ β efficiency and the relation curve of mutual inductance.
Transmitting terminal fractional order when Fig. 7 is α=0.9, β=1.1 in embodiment compensates the voltage x current time domain of network
Waveform.
The voltage x current time domain ripple of fractional order inductive emitter coil when Fig. 8 is α=0.9, β=1.1 in embodiment
Shape.
Embodiment
For present disclosure and feature is expanded on further, specific embodiments of the present invention are carried out below in conjunction with accompanying drawing
Illustrate, but implementation and the protection not limited to this of the present invention.
It is shown in Figure 1, the shunt compensation type fractional order that the present embodiment is provided inductively radio energy transmission system,
Including emitting portion, receiving portion and the current source I being connected with the emitting portionSWith the load R being connected with the receiving portionL, institute
Stating emitting portion includes transmitting terminal fractional order compensation network, fractional order inductive emitter coil Lβ1With radiating circuit internal resistance RS1, it is described
Fractional order inductive emitter coil Lβ1With radiating circuit internal resistance RS1It is in parallel with transmitting terminal fractional order compensation network after series connection, the hair
Penetrate end fractional order compensation network and be parallel to compensation system reactive power in emitting portion, the receiving portion includes receiving terminal fraction
Rank compensation network, fractional order inductance receiving coil Lβ2With receiving circuit internal resistance RS2, the fractional order inductance receiving coil Lβ2With connect
Receive circuit internal resistance RS2In parallel with receiving terminal fractional order compensation network after series connection, the receiving terminal fractional order compensation network, which is parallel to, to be connect
Compensation system reactive power in receiving portions;The transmitting terminal fractional order compensation network and receiving terminal fractional order compensate network respectively extremely
Less comprising a fractional order electric capacity.
It is shown in Figure 2, ZC1Represent transmitting terminal fractional order compensation network, ZC2Receiving terminal fractional order compensation network is represented, its
Mid-score rank inductive emitter coil Lβ1Exponent number and inductance value be respectively β1And Lβ1, β1Meet 0 < β1≤2;Fractional order inductance is received
Coil Lβ2Exponent number and inductance value be respectively β2And Lβ2, β2Meet 0 < β2≤2;Fractional order inductive emitter coil Lβ1With fractional order electricity
Feel receiving coil Lβ2Being wirelessly transferred for electric energy is realized by electromagnetic induction coupling, wherein mutual inductance value is M, mutual inductance exponent number is γ;
In Fig. 2, transmitting terminal fractional order compensation network ZC1Employ a fractional order electric capacity composition, receiving terminal fractional order compensation network ZC2
A fractional order electric capacity composition is employed, therefore, the fractional order compensation network impedance expression formula point of emitting portion and receiving portion
It is not:
Wherein, Cα1、Cα2Electric capacity respectively in transmitting terminal fractional order compensation network and receiving terminal fractional order compensation network holds
Value, fractional order exponent number α1Meet 0 < α1≤ 2, fractional order exponent number α2Meet 0 < α2≤2.From the expression formula of above-mentioned impedance, when
When element exponent number is not 1, the real component for compensating network impedance is not 0, i.e. fractional order compensation network not only can compensate for idle go back
It can compensate active.And integer rank compensation network can only compensating reactive power.
It can be obtained according to KCL and KVL by Fig. 2:
Then output voltage, which can be solved, by above-mentioned equation is:
Wherein:
Then power output is:
In order to realize the full reactive-load compensation of system, receiving portion need to meet receiving terminal fractional order electric capacity and receive inductance with fractional order
Coil resonance, emitting portion meets input impedance for pure resistance characteristic, then can try to achieve the fractional order electric capacity of receiving terminal and transmitting terminal
It need to meet respectively:
Wherein:
Input voltage when can then obtain the full reactive-load compensation of system is:
Input power is:
The efficiency of transmission of system is expressed as:
From above-mentioned equation, the power output and efficiency of system are not only relevant with working frequency ω, mutual inductance M, also with electricity
Feel exponent number β1、β2, γ and fractional order compensate the exponent number α of network1, α2It is relevant.Shadow of the following discussion fractional order exponent number to systematic function
Ring.For easy analysis, make the fractional order electric capacity exponent number of emitting portion and receiving portion equal, fractional order inductive emitter and reception
The all equal i.e. α of the self-induction exponent number and mutual inductance exponent number of coil1=α2=α, β1=β2=γ=β.
1) as α=β, as an example, the design parameter of fractional order inductively radio energy transmission system is:IS=
1A,RS1=RS2=1 Ω, RL=10 Ω, Lβ1=Lβ2=LβThe π * 20000rad/s of=200 μ H, ω=2, exponent number take respectively β=
0.99, β=1.00, β=1.01.Ca1And Ca2Value meet the condition of the full reactive-load compensation of system.Power output and efficiency with mutually
Feel relation curve as shown in Figure 3 and Figure 4.As shown in Figure 3 as β=1.01, system output power and efficiency are all higher than integer rank
Situation power output is more than integer rank situation, the especially situation in low mutual inductance.
2) as α ≠ β, as an example, system element exponent number take respectively α=0.9, β=1.1, α=1.1, β=0.9, α=
0.8, β=0.9, ibid, power output and efficiency and mutual inductance relationships curve are as shown in Figure 5 and Figure 6 for other parameters.As α=0.9, β
When=1.1, although system effectiveness is only slightly larger than the situation of integer rank, but power output is more much larger than the situation of integer rank, special
Other voltage x current, time domain ripple of fractional order emission inductance coil voltage electric current for launching end compensating network in M=150 μ H
Shape such as Fig. 7 and Fig. 8.
As the above analysis, shunt compensation type fractional order of the invention inductively radio energy transmission system with tradition
The integer rank of shunt compensation inductively there is very big difference in radio energy transmission system, the advantage of present system is aobvious and easy
See, be worthy to be popularized.
Embodiment described above is only the preferred embodiments of the invention, and the practical range of the present invention is not limited with this, therefore
The change that all shape, principles according to the present invention are made, all should cover within the scope of the present invention.
Claims (3)
1. a kind of shunt compensation type fractional order inductively radio energy transmission system, it is characterised in that:Including emitting portion, connect
Receiving portions and the current source being connected with the emitting portion and the load being connected with the receiving portion, the emitting portion include transmitting
Hold fractional order compensation network, fractional order inductive emitter coil and radiating circuit internal resistance, the fractional order inductive emitter coil and hair
In parallel with transmitting terminal fractional order compensation network after transmit-receive radio road internal resistance series connection, the transmitting terminal fractional order compensation network is parallel to transmitting
Compensation system reactive power in part, the receiving portion includes receiving terminal fractional order compensation network, fractional order inductance and receives line
Compensated after circle and receiving circuit internal resistance, the fractional order inductance receiving coil and receiving circuit internal resistance series connection with receiving terminal fractional order
Network is in parallel, and the receiving terminal fractional order compensation network is parallel to compensation system reactive power in receiving portion;The fractional order
Inductive emitter coil and fractional order inductance receiving coil realize being wirelessly transferred for electric energy by electromagnetic induction coupling;The transmitting terminal
Fractional order compensates network and receiving terminal fractional order compensation network comprises at least a fractional order electric capacity respectively.
2. a kind of shunt compensation type fractional order according to claim 1 inductively radio energy transmission system, its feature
It is:The voltage of the fractional order inductive emitter coil, current differential relation are met:Phase relation is metImpedance is:In formula, iL1To divide
Number rank inductive emitter coil current, vL1For fractional order inductive emitter coil voltage, β1For the self-induction of fractional order inductive emitter coil
Fractional order, and 0 < β1≤ 2, Lβ1It is fractional order inductive emitter coil from inductance value, works as β1When taking 1, fractional order inductive emitter line
Circle is integer rank inductance coil;The voltage of the fractional order inductance receiving coil, current differential relation are met:
Phase relation is metImpedance is:Formula
In, iL2For fractional order inductance receiving coil electric current, vL2For fractional order inductance receiving coil voltage, β2Line is received for fractional order inductance
The self-induction fractional order of circle, and 0 < β2≤ 2, Lβ2It is fractional order inductance receiving coil from inductance value, works as β2When taking 1, fractional order
Inductance receiving coil is integer rank inductance coil;The fractional order inductive emitter coil and fractional order inductance receiving coil it is mutual
Inductance value is that M, mutual inductance exponent number are γ, and the voltage of mutual inductance, current differential relation are metOr
3. a kind of shunt compensation type fractional order according to claim 1 inductively radio energy transmission system, its feature
It is:The voltage v of the fractional order electric capacityCWith electric current iCDifferential relationship is met:Phase relation is metImpedance is:Wherein fractional order rank
Number meets 0 < α≤2, CαFor fractional order capacitor's capacity, ω is the work angular frequency of system, when the exponent number of fractional order electric capacity is 1
When, as integer rank electric capacity.
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
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CN110932409A (en) * | 2019-12-17 | 2020-03-27 | 华南理工大学 | Fractional order parallel electric field coupling wireless power transmission system |
CN110971007A (en) * | 2019-12-17 | 2020-04-07 | 华南理工大学 | Fractional order parallel electromagnetic field double-coupling wireless power transmission system |
CN110971014A (en) * | 2019-12-17 | 2020-04-07 | 华南理工大学 | Fractional order series type electric field coupling wireless power transmission system |
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CN103915908A (en) * | 2014-03-31 | 2014-07-09 | 华南理工大学 | Fractional order parallel resonance wireless power transmission system |
CN203827077U (en) * | 2014-03-31 | 2014-09-10 | 华南理工大学 | Fractional-order parallel-connected resonance wireless power transmission system |
CN106410985A (en) * | 2016-11-17 | 2017-02-15 | 华南理工大学 | Fractional-order wireless power transmission system for reducing circuit equivalent resistance |
CN207039300U (en) * | 2017-05-03 | 2018-02-23 | 华南理工大学 | A kind of shunt compensation type fractional order inductively radio energy transmission system |
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Patent Citations (4)
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CN103915908A (en) * | 2014-03-31 | 2014-07-09 | 华南理工大学 | Fractional order parallel resonance wireless power transmission system |
CN203827077U (en) * | 2014-03-31 | 2014-09-10 | 华南理工大学 | Fractional-order parallel-connected resonance wireless power transmission system |
CN106410985A (en) * | 2016-11-17 | 2017-02-15 | 华南理工大学 | Fractional-order wireless power transmission system for reducing circuit equivalent resistance |
CN207039300U (en) * | 2017-05-03 | 2018-02-23 | 华南理工大学 | A kind of shunt compensation type fractional order inductively radio energy transmission system |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
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CN110932409A (en) * | 2019-12-17 | 2020-03-27 | 华南理工大学 | Fractional order parallel electric field coupling wireless power transmission system |
CN110971007A (en) * | 2019-12-17 | 2020-04-07 | 华南理工大学 | Fractional order parallel electromagnetic field double-coupling wireless power transmission system |
CN110971014A (en) * | 2019-12-17 | 2020-04-07 | 华南理工大学 | Fractional order series type electric field coupling wireless power transmission system |
CN110971007B (en) * | 2019-12-17 | 2024-06-04 | 华南理工大学 | Fractional order parallel electromagnetic field double-coupling wireless power transmission system |
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Application publication date: 20170822 |