CN206834848U - A kind of fractional order of uncompensated network inductively radio energy transmission system - Google Patents
A kind of fractional order of uncompensated network inductively radio energy transmission system Download PDFInfo
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- CN206834848U CN206834848U CN201720479947.4U CN201720479947U CN206834848U CN 206834848 U CN206834848 U CN 206834848U CN 201720479947 U CN201720479947 U CN 201720479947U CN 206834848 U CN206834848 U CN 206834848U
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- fractional order
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Abstract
The utility model discloses a kind of fractional order of uncompensated network inductively radio energy transmission system, including emitting portion, receiving portion and the voltage source being connected with the emitting portion and the load being connected with the receiving portion, the emitting portion includes fractional order inductive emitter coil and the radiating circuit internal resistance being connected in series, the receiving portion includes fractional order inductance receiving coil and the receiving circuit internal resistance being connected in series, and the fractional order inductive emitter coil and fractional order inductance receiving coil realize being wirelessly transferred for electric energy by electromagnetic induction coupling.The utility model is inductively realized wireless power transmission using fractional order inductance coil, magnetic linkage or voltage caused by fractional order inductance coil, it is not only related to inductance value, it is and related to its fractional order, parameter designing is flexible, it is easy to optimize, performance is different from the induction type radio energy transmission system of conventional integer rank inductance coil completely.
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 uncompensated network
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, application of the fractional order element in inductively radio energy transmission system
Never it is mentioned, therefore proposes that inductively radio energy transmission system has real value to a kind of fractional order.
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 point of uncompensated network
Rank inductively radio energy transmission system is counted, wireless power transmission 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, parameter designing
Flexibly, it is easy to optimize, performance is different from the induction type radio energy transmission system of conventional integer rank inductance coil completely.
To achieve the above object, technical scheme provided by the utility model is：A kind of fractional order sense of uncompensated network
Should couple radio energy transmission system, including emitting portion, receiving portion and the voltage source being connected with the emitting portion and with this
The load of receiving portion connection, the emitting portion are included in the fractional order inductive emitter coil and radiating circuit that are connected in series
Resistance, the receiving portion include fractional order inductance receiving coil and the receiving circuit internal resistance being connected in series, the fractional order inductance
Transmitting coil and fractional order inductance receiving coil realize being wirelessly transferred for electric energy by electromagnetic induction coupling.
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, Lβ1Be fractional order inductive emitter coil from inductance value, ω is that system works angular frequency, works as β1Take 1
When, fractional order inductive emitter coil is integer rank inductance coil；Voltage, the current differential of the fractional order inductance receiving coil
Relation meets：Phase relation meetsImpedance is：In formula, iL2For fractional order inductance receiving coil
Electric current, vL2For fractional order inductance receiving coil voltage, β2For the self-induction fractional order of fractional order inductance receiving coil, 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 electricity
Feel coil；The mutual inductance value of the fractional order inductive emitter coil and fractional order inductance receiving coil is M, mutual inductance exponent number is γ, mutually
The voltage of sense, current differential relation meetOr
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, by reasonably choosing the exponent number of fractional order inductance coil, the active power of system transmission can be increased.
3rd, by being suitably designed the exponent number of fractional order inductance coil, efficiency can be improved.
Brief description of the drawings
Fig. 1 is the specific system model provided in embodiment.
Fig. 2 is embodiment mid-score rank inductive emitter coil and fractional order inductance receiving coil self-induction exponent number and mutual inductance rank
The relation curve of power output and mutual inductance value when number is all identical.
Fig. 3 be embodiment mid-score rank inductive emitter coil and fractional order inductance receiving coil self-induction exponent number it is identical but with
The relation curve of power output and mutual inductance value during mutual inductance exponent number difference.
Fig. 4 is embodiment mid-score rank inductive emitter coil and fractional order inductance receiving coil self-induction exponent number and mutual inductance rank
The relation curve of power output and mutual inductance value when number is all different.
Fig. 5 is embodiment mid-score rank inductive emitter coil and fractional order inductance receiving coil self-induction exponent number and mutual inductance rank
The relation curve of efficiency and mutual inductance value when number is all different.
Fig. 6 is β in embodiment1=1.01, β2=0.96, system voltage current waveform figure during γ=0.98.
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 fractional order of the uncompensated network that the present embodiment is provided inductively wireless power transmission system
System, including emitting portion, receiving portion and the voltage source V being connected with the emitting portionSThe load being connected with the receiving portion
RL, the emitting portion includes the fractional order inductive emitter coil L that is connected in seriesβ1With radiating circuit internal resistance RS1, the acceptance division
Divide the fractional order inductance receiving coil L for including being connected in seriesβ2With receiving circuit internal resistance RS2, the fractional order inductive emitter coil
Lβ1With fractional order inductance receiving coil Lβ2Being wirelessly transferred for electric energy is realized by electromagnetic induction coupling, wherein mutual inductance value is M, mutually
Sense exponent number is γ.
The Fractional Differential Equation that system is can obtain by Fig. 1 is：
In formula, vsFor the transient expression form of voltage source, i1For emission current, i2To receive electric current.The differential of said system
Equation can be obtained by Laplace transform：
Symbol in above equation group is the variation of Laplce, is had with the differential equation of system one-to-one
Relation, there is s=j ω in a frequency domain, and definition transmitting and reception impedance loop are respectively：
Solve emission current and receive electric current and be respectively：
Output can then be tried to achieve and the expression formula of input power is respectively：
The efficiency of transmission of system is expressed as：
The power factor of circuit is expressed as:
From above-mentioned equation, the power output of system, efficiency and power factor not only have with working frequency ω, mutual inductance M
Close, also with exponent number β1、β2, γ it is relevant.And traditional integer level system is only relevant with working frequency ω, mutual inductance M.Divide situation below
Influence of the fractional order exponent number to systematic function is discussed.
1) when transmitting coil self-induction exponent number, receiving coil self-induction exponent number, mutual inductance exponent number are all equal, i.e. β1=β2=γ=
β, as an example, the design parameter of fractional order inductively radio energy transmission system is：VS=48V,
ω=2 π * 20000rad/s, RS1=RS2=0.5 Ω.Then power output and relation curve of the mutual inductance under different rank β such as Fig. 2
It is shown.As shown in Figure 2 as β=0.6, when β=1.1, β=1.3, the power output of system is less than the output work of integer level system
Rate, and as β=0.9, power output is maximum.
2) when transmitting coil self-induction exponent number is equal with receiving coil self-induction exponent number, but with mutual inductance exponent number it is unequal when, i.e. β1
=β2≠ γ, as an example, β is taken respectively1=β2=1.2, γ=1.1, β1=β2=1.1, γ=0.9, β1=β2=0.9, γ
=0.8, other parameters are same as above.Power output and the relation curve of mutual inductance such as Fig. 3.Obviously now, the power output of system is far low
The power output of system when integer rank.
3) when transmitting coil self-induction exponent number, receiving coil self-induction exponent number and all unequal mutual inductance exponent number, i.e. β1≠β2≠
γ, as an example, β is taken respectively1=1.01, β2=0.96, γ=1, β1=1.01, β2=0.96, γ=0.98, β1=0.96,
β2=1.01, γ=0.98 and β1=0.96, β2=1.01, γ=1, other parameters are same as above.Power output and the relation of mutual inductance are bent
Line and efficiency and the relation curve of mutual inductance are as shown in Figure 4 and Figure 5.Obviously β is worked as1=1.01, β2During=0.96, γ=1, system
Power output and efficiency are both greater than the situation of integer rank；Work as β1=1.01, β2During=0.96, γ=0.98, system effectiveness is both greater than
The situation of integer rank, and in low mutual inductance, power output is then almost identical with integer rank situation, and Fig. 6 is mutual inductance under the exponent number
System input voltage and input current and the time domain waveform of output voltage during M=100 μ H.
As the above analysis, fractional order of the present utility model inductively radio energy transmission system and traditional integer
Inductively there is the advantages of very big difference, Tthe utility model system it is clear that being worthy to be popularized in radio energy transmission system to rank.
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 (2)
- A kind of 1. fractional order of uncompensated network inductively radio energy transmission system, it is characterised in that：Including emitting portion, Receiving portion and the voltage source being connected with the emitting portion and the load being connected with the receiving portion, the emitting portion include string Join fractional order inductive emitter coil and the radiating circuit internal resistance of connection, the receiving portion includes the fractional order inductance being connected in series Receiving coil and receiving circuit internal resistance, 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.
- 2. a kind of fractional order of uncompensated network according to claim 1 inductively radio energy transmission system, it is special Sign is：The voltage of the fractional order inductive emitter coil, current differential relation meet：Phase relation expires FootImpedance is：In formula, iL1For Fractional order inductive emitter coil current, vL1For fractional order inductive emitter coil voltage, β1For fractional order inductive emitter coil from Feel fractional order, and 0 ＜ β1≤ 2, Lβ1Be fractional order inductive emitter coil from inductance value, ω is that system works angular frequency, when β1When taking 1, fractional order inductive emitter coil is integer rank inductance coil；Voltage, the electricity of the fractional order inductance receiving coil Differential relationship is flowed to meet：Phase relation meetsImpedance is：In formula, iL2For fractional order inductance receiving coil Electric current, vL2For fractional order inductance receiving coil voltage, β2For the self-induction fractional order of fractional order inductance receiving coil, 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 electricity Feel coil；The mutual inductance value of the fractional order inductive emitter coil and fractional order inductance receiving coil is M, mutual inductance exponent number is γ, mutually The voltage of sense, current differential relation meetOr
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