CN206272351U - A kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance - Google Patents
A kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance Download PDFInfo
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- CN206272351U CN206272351U CN201621323726.XU CN201621323726U CN206272351U CN 206272351 U CN206272351 U CN 206272351U CN 201621323726 U CN201621323726 U CN 201621323726U CN 206272351 U CN206272351 U CN 206272351U
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Abstract
The utility model provides the fractional order radio energy transmission system that a kind of utilization fractional order electric capacity offsets internal resistance, including high frequency power source, radiating circuit, receiving circuit and load, radiating circuit includes the primary side fractional order electric capacity, primary side transmitting coil, the primary circuit internal resistance that are connected in series, and wherein primary circuit internal resistance is including all positive resistances of primary circuit including primary side transmitting coil internal resistance；Receiving circuit includes the secondary fractional order electric capacity, secondary receiving coil, the secondary circuit internal resistance that are connected in series, and wherein secondary circuit internal resistance is including all positive resistances of receiving circuit including secondary receiving coil internal resistance.The utility model, while having the property of negative resistance component under special parameter scope using fractional order electric capacity, realizes part or all of bucking circuit internal resistance using fractional order electric capacity and coil series resonance.
Description
Technical field
The utility model is related to the field of wireless power transmission or wireless power transmission technology, and in particular to one kind utilizes fractional order
Electric capacity offsets the fractional order radio energy transmission system of internal resistance.
Background technology
Wireless power transmission technology can realize being electrically isolated completely between power supply and electrical equipment, with safety, can
By, flexible advantage.Early in 19 end of the centurys, Ni Gula teslas (Nikola Tesla) are just former using wireless power transmission
Reason, it is MIT that wireless power transmissions of the bulb based on magnet coupled resonant type has been lighted in the case where being connected without any wire
The breakthrough that scholar obtains in wireless power transmission field, has been disclosed since delivering from 2007 and is led in wireless power transmission
Domain causes very big repercussion, and increasing scholar is added to the basic research and application and development of wireless power transmission technology
.
In current resonance type wireless electric energy transmission system, the internal resistance including the resonance circuit including Coil resistance is shadow
The key factor of wireless power transmission is rung, the important problem that Coil resistance is wireless power transmission field how is reduced, had
Document is proposed to reduce Coil resistance using superconducting coil, but superconducting coil is generally required under than relatively low temperature environment
Can realize, it is relatively costly.
Fractional calculus have had the history of more than 300 years, and the order of calculus is generalized to fraction very by it from integer rank
To plural number.The concept of fractional order electric capacity by fractional calculus concept, fractional order different from traditional integer rank electric capacity
Electric capacity includes two parameters of capacitance and exponent number, and this causes that the design freedom of fractional order electric capacity is more than integer rank electric capacity, possesses one
The property that a little conventional integer rank electric capacity do not possess.The fractional order that internal resistance is offset using fractional order electric capacity is there has been no in the prior art
Radio energy transmission system, the utility model make use of fractional order electric capacity in specific parameter area, with negative resistance point
Amount, by the fractional order capacitance applications with negative resistance component in radio energy transmission system, for reducing resonance circuit internal resistance
It is significant.
Utility model content
For the shortcoming and deficiency of currently available technology, the utility model provides one kind and offsets internal resistance using fractional order electric capacity
Fractional order radio energy transmission system.
The utility model is achieved through the following technical solutions.
A kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance, including high frequency power source
VS, radiating circuit, receiving circuit and load RL, it is characterised in that radiating circuit includes the primary side fractional order electric capacity being connected in series
Cα1, primary side transmitting coil L1, primary circuit internal resistance RS1, wherein primary circuit internal resistance RS1It is including including primary coil internal resistance
The all positive resistances of primary circuit；Receiving circuit includes the secondary fractional order electric capacity C being connected in seriesα2, secondary receiving coil L2, secondary
Circuit internal resistance RS2, wherein secondary circuit internal resistance is including all positive resistances of receiving circuit including secondary coil internal resistance.
In the fractional order radio energy transmission system that a kind of described utilization fractional order electric capacity offsets internal resistance, primary side fraction
Rank electric capacity Cα1With secondary fractional order electric capacity Cα2Voltage x current differential relationship be satisfied by：
Phase relation meets：
Impedance is：
Wherein iCIt is fractional order capacitance current, vCIt is fractional order capacitance voltage, α is fractional order electric capacity exponent number, and 0<α≤
2, CαIt is fractional order capacitor's capacity, w is the work angular frequency of fractional order electric capacity.
A kind of described utilization fractional order electric capacity is offset in the fractional order radio energy transmission system of internal resistance, radiating circuit and
It is the wireless power transmission realized by way of series resonance is coupled between receiving circuit.
Radiating circuit of the present utility model is by primary side fractional order electric capacity Cα1, primary side transmitting coil L1, primary circuit internal resistance RS1
Constitute RLCαSeries resonant circuit, receiving circuit is by secondary fractional order electric capacity Cα2, secondary receiving coil L2, secondary circuit internal resistance RS2
Constitute RLCαSeries resonant circuit.Radiating circuit and receiving circuit realize being wirelessly transferred for electric energy by way of resonance is coupled.
Meanwhile, primary side fractional order electric capacity Cα1With secondary fractional order electric capacity Cα2Among, at least one fractional order electric capacity except be operated in
The state of coil resonance, the internal resistance of series resonant circuit where being additionally operable to offset.
As a kind of implementation method, described primary side fractional order electric capacity Cα1It is arranged to produce the same of resonance with primary coil
When again can offset part or all of primary circuit internal resistance, primary circuit internal resistance is including the primary circuit including primary coil internal resistance
All positive resistances.
As a kind of implementation method, described secondary fractional order electric capacity Cα2It is arranged to produce the same of resonance with secondary coil
When again can offset part or all of secondary circuit internal resistance, secondary circuit internal resistance is including the reception including secondary receiving coil internal resistance
The all positive resistances of circuit.
Used as a kind of implementation method, described counteracting internal resistance is arranged to offset primary circuit including primary side fractional order electric capacity
Internal resistance and with primary coil resonance, secondary fractional order electric capacity is only arranged to and secondary coil resonance.
Used as a kind of implementation method, described counteracting internal resistance is arranged to offset secondary circuit including secondary fractional order electric capacity
Internal resistance and with secondary coil resonance, primary side fractional order electric capacity is only arranged to and primary coil resonance.
Used as a kind of implementation method, described counteracting internal resistance is arranged to offset primary circuit including primary side fractional order electric capacity
Internal resistance and with primary coil resonance, secondary fractional order electric capacity be arranged to offset secondary circuit internal resistance and with secondary coil resonance.
A kind of described utilization fractional order electric capacity is offset in the fractional order radio energy transmission system of internal resistance, primary and secondary side
The equivalent internal resistance of circuit is respectively：
In formulaIt is fractional order electric capacity Cα1The real component of impedance,It is fractional order
Electric capacity Cα2The real component of impedance.
A kind of described utilization fractional order electric capacity is offset in the fractional order radio energy transmission system of internal resistance, primary side fractional order
The parameter of electric capacity not only needs to meet the condition with primary coil resonance：
For offsetting primary circuit internal resistance RS1When, fractional order capacitance parameter also needs to meet：
0≤Zeqs1<RS1
I.e.：
The now impedance of primary side fractional order electric capacity has the component of negative resistance, therefore can be used to offset primary circuit internal resistance.
And work asWhen be primary side equivalent internal resistance Zeqs1=0, primary side fractional order electric capacity is just all offset
Primary circuit internal resistance RS1。
A kind of described utilization fractional order electric capacity is offset in the fractional order radio energy transmission system of internal resistance, secondary fractional order
The parameter of electric capacity not only needs to meet the condition with secondary coil resonance：
For offsetting secondary circuit internal resistance RS2When, fractional order capacitance parameter also needs to meet：
0≤Zeqs2<RS2
I.e.：
The now impedance of secondary fractional order electric capacity has the component of negative resistance, therefore can be used to offset secondary circuit internal resistance.
And work asWhen be secondary equivalent internal resistance Zeqs2=0, secondary fractional order electric capacity is just all offset
Secondary circuit internal resistance RS2。
Compared with prior art, the utility model has the following advantages that and technique effect：
1st, system architecture is simple, and fractional order electric capacity is not only realized and coil resonance, can also simultaneously realize bucking circuit internal resistance.
2nd, by fractional order capacitive part or whole bucking circuit internal resistances, the quality factor of circuit can be improved.
3rd, by former pair fractional order electric capacity respectively with transmitting and receiving coil resonance, and all offset primary sides electricity respectively simultaneously
Road internal resistance and secondary circuit internal resistance, can be such that the power output of high frequency power source all exports onto load.
Brief description of the drawings
Fig. 1 is the specific system model of offer in implementation method.
Fig. 2 is the relation curve of quality factor of circuit and fractional order electric capacity exponent number in implementation method.
Fig. 3 is the relation curve of power output and input power and fractional order electric capacity exponent number in implementation method.
Specific embodiment
For content of the present utility model and feature 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.
The general principle that the utilization fractional order electric capacity of this example offsets the fractional order radio energy transmission system of internal resistance is profit
Resonance is produced with fractional order electric capacity and coil, while using fractional order electric capacity the characteristics of there is negative resistance component under setting exponent number
Carry out the positive resistance of bucking circuit.
Such as Fig. 1, a kind of fractional order radio energy transmission system of utilization fractional order electric capacity counteracting internal resistance, including high frequency power
Source VS, radiating circuit, receiving circuit and load RL, radiating circuit includes the primary side fractional order electric capacity C that is connected in seriesα1, primary side hair
Ray circle L1, primary circuit internal resistance RS1, wherein primary circuit internal resistance RS1It is including the primary circuit institute including primary coil internal resistance
There is positive resistance；Receiving circuit includes the secondary fractional order electric capacity C being connected in seriesα2, secondary receiving coil L2, secondary circuit internal resistance
RS2, wherein secondary circuit internal resistance is including all positive resistances of receiving circuit including secondary coil internal resistance.For easy analysis, order
Primary circuit internal resistance RS1With secondary circuit internal resistance RS2Parameter is all unanimously RS；Make primary side transmitting coil L1With secondary wire coil L2
Parameter is all unanimously L；Make primary side fractional order electric capacity Cα1With secondary fractional order electric capacity Cα2Parameter is consistent, and capacitance is all Cα, exponent number is all
It is α.
It is w to make system resonance frequenciesr, when the fractional order electric capacity of primary and secondary side is both configured to and coil resonance and compensation electricity
During the internal resistance of road, its parameter meets：
In formulaIt is the real component of fractional order condensance, solves：
When radiating circuit and receiving circuit all resonance, the impedance loop Z of primary side can be obtained11With secondary loop impedance Z22For：
Can be obtained by Kirchhoff's law again：
In formulaIt is the vector expression of high frequency power source voltage,WithRespectively it is primary current and secondary current
Vector expression.M is the mutual inductance between primary side transmitting coil and secondary receiving coil.
Solve the amplitude I of primary current1With the amplitude I of secondary current2For：
Power output P when can then obtain system resonanceOExpression formula be：
The voltage and current of high frequency power source same phase during system resonance, then can obtain the input power expression formula of high frequency power source
PINFor：
One important parameter of resonance circuit is exactly quality factor, now the quality of system radiating circuit and receiving circuit because
Number Q expression formula be：
In formulaIt is the equivalent internal resistance of resonance circuit.
If high frequency power source voltage is VS=20V, angular frequency wS=2* π * 50000rad/s, coil inductance is L=300uH,
M=30uH, internal resistance RS=0.5 Ω, loads RL=10 Ω.The resonant frequency of transmitting and receiving circuit is with high frequency power source frequently
Rate is equal, then can the parameter of goals for rank electric capacity should meet:
Now relation curve such as Fig. 2 of system output power, the input power of high frequency power source and fractional order electric capacity exponent number.
As shown in Figure 2, fractional order electric capacity exponent number is higher, system output power just closer to the input power of high frequency power source, when point
Now fractional order electric capacity is completely counterbalanced by internal resistance during number rank electric capacity exponent number acquirement maximum, then system output power is equal to high frequency work(
The input power of the input power in rate source, i.e. high frequency power source is all exported onto load.
Now relation curve such as Fig. 3 of the quality factor q of system radiating circuit and receiving circuit and fractional order electric capacity exponent number.
From the figure 3, it may be seen that Q values increase with the increase of electric capacity exponent number, the now fractional order when fractional order electric capacity exponent number obtains maximum
When electric capacity is completely counterbalanced by internal resistance, Q values tend to infinitely great.
As the above analysis, after bucking circuit internal resistance, system is in work(for radio energy transmission system of the present utility model
There is very big difference, the utility model system with traditional radio energy transmission system in the aspects such as rate characteristic, quality factor of circuit
Advantage be very significant.
Above-described embodiment is the utility model preferably implementation method, but implementation method of the present utility model is not by described
The limitation of embodiment, it is other it is any without departing from the change made under Spirit Essence of the present utility model and principle, modify, replace
Generation, combination, simplification, should be equivalent substitute mode, be included within protection domain of the present utility model.
Claims (7)
1. a kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance, including high frequency power source (VS), hair
Transmit-receive radio road, receiving circuit and load (RL), it is characterised in that radiating circuit includes the primary side fractional order electric capacity (C being connected in seriesα1)、
Primary coil (L1), primary circuit internal resistance (RS1), wherein primary circuit internal resistance (RS1) it is including the original including primary coil internal resistance
The all positive resistances of side circuit；Receiving circuit includes the secondary fractional order electric capacity (C being connected in seriesα2), secondary coil (L2), secondary electricity
Road internal resistance (RS2), wherein secondary circuit internal resistance is including all positive resistances of receiving circuit including secondary coil internal resistance.
2. a kind of utilization fractional order electric capacity according to claim 1 offsets the fractional order radio energy transmission system of internal resistance,
It is characterized in that the primary side fractional order electric capacity (Cα1) and secondary fractional order electric capacity (Cα2) voltage x current differential relationship it is all full
Foot：Phase relation meetsWherein iCIt is fractional order capacitance current, vCIt is fractional order capacitance voltage, α is
Fractional order electric capacity exponent number, and 0<α≤2, CαIt is fractional order capacitor's capacity.
3. a kind of utilization fractional order electric capacity according to claim 1 and 2 offsets the fractional order wireless power transmission system of internal resistance
System, it is characterised in that described primary side fractional order electric capacity (Cα1) be arranged to primary coil produce resonance while and can offset
Part or all of primary circuit internal resistance, primary circuit internal resistance is including all positive electricity of primary circuit including primary coil internal resistance
Resistance.
4. a kind of utilization fractional order electric capacity according to claim 1 and 2 offsets the fractional order wireless power transmission system of internal resistance
System, it is characterised in that described secondary fractional order electric capacity (Cα2) be arranged to secondary coil produce resonance while and can offset
Part or all of secondary circuit internal resistance, secondary circuit internal resistance is all just including the receiving circuit including secondary receiving coil internal resistance
Resistance.
5. a kind of utilization fractional order electric capacity according to claim 1 offsets the fractional order radio energy transmission system of internal resistance,
It is characterized in that described counteracting internal resistance including primary side fractional order electric capacity be arranged to offset primary circuit internal resistance and with primary side line
Circle resonance, secondary fractional order electric capacity is only arranged to and secondary coil resonance.
6. a kind of utilization fractional order electric capacity according to claim 1 offsets the fractional order radio energy transmission system of internal resistance,
It is characterized in that described counteracting internal resistance including secondary fractional order electric capacity be arranged to offset secondary circuit internal resistance and with secondary line
Circle resonance, primary side fractional order electric capacity is only arranged to and primary coil resonance.
7. a kind of utilization fractional order electric capacity according to claim 1 offsets the fractional order radio energy transmission system of internal resistance,
It is characterized in that described counteracting internal resistance including primary side fractional order electric capacity be arranged to offset primary circuit internal resistance and with primary side line
Circle resonance, secondary fractional order electric capacity be arranged to offset secondary circuit internal resistance and with secondary coil resonance.
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| CN201621323726.XU CN206272351U (en) | 2016-12-05 | 2016-12-05 | A kind of utilization fractional order electric capacity offsets the fractional order radio energy transmission system of internal resistance |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106532979A (en) * | 2016-12-05 | 2017-03-22 | 华南理工大学 | Fractional-order wireless power transmission system for offsetting internal resistors by using fractional-order capacitors |
| CN107742926A (en) * | 2017-10-10 | 2018-02-27 | 华南理工大学 | The source-series parallel connection type radio energy transmission system of no-voltage based on fractional order electric capacity |
-
2016
- 2016-12-05 CN CN201621323726.XU patent/CN206272351U/en active Active
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106532979A (en) * | 2016-12-05 | 2017-03-22 | 华南理工大学 | Fractional-order wireless power transmission system for offsetting internal resistors by using fractional-order capacitors |
| CN106532979B (en) * | 2016-12-05 | 2023-11-14 | 华南理工大学 | Fractional order wireless power transmission system for counteracting internal resistance by fractional order capacitor |
| CN107742926A (en) * | 2017-10-10 | 2018-02-27 | 华南理工大学 | The source-series parallel connection type radio energy transmission system of no-voltage based on fractional order electric capacity |
| CN107742926B (en) * | 2017-10-10 | 2023-09-26 | 华南理工大学 | Fractional-capacitor-based series-parallel wireless power transmission system without voltage source |
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