CN207039300U - 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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- CN207039300U CN207039300U CN201720480043.3U CN201720480043U CN207039300U CN 207039300 U CN207039300 U CN 207039300U CN 201720480043 U CN201720480043 U CN 201720480043U CN 207039300 U CN207039300 U CN 207039300U
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Abstract
The utility model 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 compensation 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 compensation 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 utility model 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, is easy to optimize.
Description
Technical field
Wireless power transmission or the technical field of wireless power transmission are the utility model is related to, refers in particular to a kind of shunt compensation type
Fractional order inductively radio energy transmission system.
Background technology
Before more than 100 years, Ni Gula teslas (Nikola Tesla) point in the case of no 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, there is the advantages of safe and reliable, flexible, 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 in nature and are 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 that their fractional order influences, or purposefully utilize
Their fractional order improves circuit performance, and has also been proved in some application scenarios to have more advantage than integer rank element,
Such as the application 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
The purpose of this utility model is overcome the deficiencies in the prior art and shortcoming, there is provided a kind of shunt compensation type fraction
Rank inductively radio energy transmission system, being wirelessly transferred for electric energy is inductively realized using fractional order inductance coil,
Magnetic linkage or voltage, not only related to inductance value caused by fractional order inductance coil, and related to its fractional order, and fractional order
The reactive power of compensation network building out is also related to fractional order element exponent number therein, and parameter designing is flexible, is easy to optimize, performance
Conventional parallel offset-type integer rank induction type radio energy transmission system is different from completely.
To achieve the above object, technical scheme provided by the utility model is：A kind of shunt compensation type fractional order sensing
Radio energy transmission system is coupled, including emitting portion, receiving portion and the current source being connected with the emitting portion and is connect with this
The load of receiving portions connection, the emitting portion include transmitting terminal fractional order compensation network, fractional order inductive emitter coil and hair
After transmit-receive radio road internal resistance, the fractional order inductive emitter coil and radiating circuit internal resistance series connection with transmitting terminal fractional order compensation network simultaneously
Connection, the transmitting terminal fractional order compensation network are parallel to compensation system reactive power in emitting portion, and the receiving portion includes
Receiving terminal fractional order compensation network, fractional order inductance receiving coil and receiving circuit internal resistance, the fractional order inductance receiving coil
In parallel with receiving terminal fractional order compensation network after being connected with receiving circuit internal resistance, 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 pass through electromagnetism
Inductively realize being wirelessly transferred for electric energy；The transmitting terminal fractional order compensation network and receiving terminal fractional order compensation network difference
Including at least a fractional order electric capacity.
The voltage of the fractional order inductive emitter coil, current differential relation meet：Phase relation meetsImpedance 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 meet：
Phase relation meetsImpedance 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 M, mutual inductance exponent number is γ, and the voltage of mutual inductance, current differential relation meetOr
The voltage v of the fractional order electric capacityCWith electric current iCDifferential relationship meets：Phase relation meetsImpedance is：Wherein fractional order exponent number
Meet 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,
As integer rank electric capacity.
The utility model 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 compensate power it is relevant with element exponent number, parameter designing is flexible, is different from conventional integer rank completely simultaneously
Join the inductively radio energy transmission system of compensation.
3rd, by being suitably designed fractional order exponent number, transimission power and more efficient can be made.
Brief description of the drawings
Fig. 1 is the structural representation of shunt compensation type fractional order of the present utility model inductively radio energy transmission system
Figure.
Fig. 2 is the physical circuit figure of Tthe utility model system in embodiment.
Power output and the relation curve of mutual inductance when Fig. 3 is α=β in embodiment.
Fig. 4 is when being α=β in embodiment efficiency and the relation curve of mutual inductance.
Fig. 5 is when being α ≠ β in embodiment power output and the relation curve of mutual inductance.
Fig. 6 is when being α ≠ β in embodiment efficiency and the relation curve of mutual inductance.
Fig. 7 is α=0.9 in embodiment, the voltage x current time domain of transmitting terminal fractional order compensation network during β=1.1
Waveform.
Fig. 8 is α=0.9 in embodiment, the voltage x current time domain ripple of fractional order inductive emitter coil during β=1.1
Shape.
Embodiment
For content and feature of the present utility model is expanded on further, below in conjunction with accompanying drawing to specific implementation of the present utility model
Scheme is specifically described, but implementation of the present utility model and protection not limited to this.
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 portionSThe 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
A fractional order electric capacity is included less.
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 receives
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 that receiving terminal fractional order electric capacity receives inductance with fractional order
Coil resonance, emitting portion meet that input impedance is 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 compensation network exponent number α1, 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 takes α=0.9, β=1.1, α=1.1 respectively, and β=0.9, α=
0.8, β=0.9, other parameters are same as above, and power output and efficiency and mutual inductance relationships curve are as shown in Figure 5 and Figure 6.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
It is other in M=150 μ H, launch end compensating network voltage x current, the time domain ripple of fractional order emission inductance coil voltage electric current
Shaped like Fig. 7 and Fig. 8.
As the above analysis, shunt compensation type fractional order of the present utility model inductively radio energy transmission system with
The integer rank of traditional shunt compensation inductively radio energy transmission system exist very big difference, Tthe utility model system it is excellent
Point is it is clear that be worthy to be popularized.
Embodiment described above is only the preferred embodiment of the utility model, not limits implementation of the present utility model with this
Scope, therefore the change that all shape, principles according to the utility model are made, all should cover in the scope of protection of the utility model.
Claims (3)
- A kind of 1. 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 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 meet：Phase relation meetsImpedance 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 meet： Phase relation meetsImpedance 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 M, mutual inductance exponent number is γ, and the voltage of mutual inductance, current differential relation meetOr
- 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 meets：Phase relation meetsImpedance 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.
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| CN107086675A (en) * | 2017-05-03 | 2017-08-22 | 华南理工大学 | A kind of shunt compensation type fractional order inductively radio energy transmission system |
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