CN203827074U - Fractional-order parallel-serial connected resonance wireless power transmission system - Google Patents
Fractional-order parallel-serial connected resonance wireless power transmission system Download PDFInfo
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- CN203827074U CN203827074U CN201420156377.1U CN201420156377U CN203827074U CN 203827074 U CN203827074 U CN 203827074U CN 201420156377 U CN201420156377 U CN 201420156377U CN 203827074 U CN203827074 U CN 203827074U
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- fractional order
- transmission system
- inductance
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Abstract
The utility model provides a fractional-order parallel-serial connected resonance wireless power transmission system which comprises a high-frequency power source, an emission portion, a reception portion and a load, wherein the emission portion comprises a primary fractional order capacitor and a primary fractional order inductor with a primary resistor, the primary fractional order capacitor and the primary fractional order inductor being parallelly connected; and the reception portion comprises a secondary fractional order capacitor and a secondary fractional order inductor with secondary resistor, the primary fractional order capacitor and the primary fractional order inductor being serially connected. The wireless power transmission system employs fractional order elements to achieve wireless power transmission, is simple in structure and increases dimensions for parameter design. The wireless power transmission system is completely different from a conventional power transmission system achieved through integer order elements.
Description
Technical field
The utility model belongs to the field of wireless power transmission or wireless technology of transmission of electricity, particularly a kind of fractional order parallel-serial resonance radio energy transmission system.
Background technology
Wireless power transmission or wireless technology of transmission of electricity were just attempted experimentally by novel tesla of U.S. utility (Nicola Tesla) before more than 100 years.2006, the researcher of the Massachusetts Institute of Technology (MIT) utilizes the resonance technique of physics successfully at 2m, apart from left and right, with 40% efficiency, to light the bulb of a 60W, this experiment is not only the reproduction of tesla's experiment, another new breakthrough of wireless power transmission technology especially, and started the upsurge of wireless power transmission research.
Wireless power transmission technology is a kind of delivery of electrical energy mode of wide application prospect, there is the advantages such as safe, reliable, flexible, convenient, day by day be subject to the attention of countries in the world, and be more and more widely used in the various places that are not suitable for or are inconvenient to use wire contact electric energy transmitting, as occasions such as implantable medical device, mobile electronic product, robot, rail electric car power supplies, and be expected to can aspect small-power electronic product wireless charging, replace traditional plug charging in the near future.
Current radio energy transmission system is all realized based on integer rank inductance, electric capacity, and its resonance frequency only determines by inductance value and capacitance, and therefore, its system only need be considered parameter value, and without the exponent number of considering element, the degree of freedom of design is fewer.Meanwhile, the element of real system is fractional order in essence, but the most exponent number of using in current reality is close to 1, for the situation of fractional order, ignores completely.Traditional modeling of passing through integer rank designs radio energy transmission system, and under certain conditions, theoretical and actual error may be very large.
The generation that derives from fractional calculus of fractional order device (as fractional order electric capacity and fractional order inductance) concept, and the concept of fractional calculus has had the history of more than 300 year, is almost born with integer rank calculus simultaneously.But due to fractional order more complicated, and never have good numerical analysis tools, so it is always in the theory analysis stage.In recent decades, development due to biotechnology, macromolecular material etc., it is found that integer rank calculus can not well explain the phenomenon that nature exists, therefore fractional calculus starts to be paid attention to, and starting to be applied to engineering field, its research at control field and application are day by day perfect.Meanwhile, the fractional order device at two ends is out manufactured in laboratory.But some special character of fractional order circuit and system are studied, and the application in wireless power transmission field is not mentioned especially.
In view of current fractional order element or fractional order circuit huge advantage in some aspects, and it is not also applied to wireless power transmission field, is therefore necessary to propose a kind of fractional order parallel-serial resonance wireless points electric energy transmission system.
Utility model content
The purpose of this utility model is to overcome above-mentioned the deficiencies in the prior art, and a kind of fractional order parallel-serial resonance radio energy transmission system is provided.
The utility model is achieved through the following technical solutions:
A fractional order parallel-serial resonance radio energy transmission system, comprises high frequency power source, radiating portion, receiving unit and load, and radiating portion comprises former limit fractional order electric capacity and the former limit fractional order inductance being connected in parallel, former limit fractional order inductance
there is former limit resistance; Receiving unit comprises secondary fractional order electric capacity and the secondary fractional order inductance being connected in series, and secondary fractional order inductance has secondary resistance.
Described a kind of fractional order parallel-serial resonance radio energy transmission system, the voltage of former limit fractional order electric capacity, secondary fractional order electric capacity, current differential relation all meet:
phase relation meets:
wherein, i
cfor fractional order capacitance current, v
cfor fractional order capacitance voltage, α is the exponent number of fractional order electric capacity, and 0 < α≤2, C
αvalue for fractional order electric capacity.
Described a kind of fractional order parallel-serial resonance radio energy transmission system, former limit fractional order inductance
secondary fractional order inductance
voltage, current differential relation all meet:
phase relation meets:
wherein, v
lfor the voltage of fractional order inductance, i
lfor the electric current of fractional order inductance, β is the exponent number of fractional order inductance, and 0 < β≤2, L
βvalue for fractional order inductance.
In described a kind of fractional order parallel-serial resonance radio energy transmission system, it between radiating portion and receiving unit, is the wireless power transmission that the mode by fractional order parallel-serial resonance coupling realizes.
Operation principle of the present utility model is: radiating portion and receiving unit are respectively by former limit fractional order electric capacity
former limit fractional order inductance
former limit resistance R
p, secondary fractional order electric capacity
secondary fractional order inductance
secondary resistance R
sform fractional order RLC parallel-serial resonant circuit, the mode that radiating portion and receiving unit are coupled by resonance realizes the wireless transmission of electric energy.
Compared with prior art, the utlity model has following advantage:
1, wireless power transmission simple in structure, to adopt fractional order element to realize, is different from radio energy transmission system in the past completely, has increased the degree of freedom that parameter is selected.
2, by the exponent number of selection element, can greatly reduce the resonance frequency of radio energy transmission system, thereby reduce the requirement to power electronic device, be very beneficial for the design of real system.
3, by selecting suitable fractional order exponent number, can make through-put power larger.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of fractional order parallel-serial resonance radio energy transmission system of the present utility model.
Fig. 2 is α=1.2, the power output of β=0.9 o'clock and the relation curve of frequency f.
Fig. 3 is α=0.8, the efficiency of transmission of β=0.9 o'clock and the relation curve of frequency f.
Fig. 4 is α=1.2, the power output of β=1.5 o'clock and the relation curve of frequency f.
Fig. 5 is α=0.8, the power output of β=1.5 o'clock and the relation curve of frequency f.
Specific embodiments
Below in conjunction with accompanying drawing, the concrete enforcement of utility model is further described, but enforcement of the present utility model and protection are not limited to this.
Embodiment
As shown in Figure 1, the schematic diagram for fractional order parallel-serial resonance radio energy transmission system of the present utility model, illustrates operation principle of the present utility model below in conjunction with this figure.In Fig. 1, high frequency power source I
s, former limit fractional order electric capacity
former limit fractional order inductance
with former limit resistance R
pconnect and compose parallel resonance; Secondary fractional order electric capacity
secondary fractional order inductance
secondary resistance R
swith load R
lconnect and compose successively series resonance; Radiating portion and receiving unit are realized wireless power transmission by mutual inductance M.For the convenience of analyzing, make former limit fractional order electric capacity
with secondary fractional order electric capacity
parameter is consistent, and omits upper and lower mark, is designated as C; Make former limit fractional order inductance
with secondary fractional order inductance
parameter is consistent, and omits upper and lower mark, is designated as L; Make former limit resistance R
pwith secondary resistance R
sfor R.Can obtain the Fractional Differential Equation of system:
In formula, i
sfor the transient expression form of high frequency power source, i
1for former limit fractional order inductive current, i
2for secondary fractional order inductive current, v
c1for former limit fractional order capacitance voltage, v
c2for secondary fractional order capacitance voltage.The differential equation of said system can be obtained by Laplace transform:
I
S(s)=s
αCV
C1(s)+I
1(s)
V
C1(s)=s
βLI
1(s)+s
βMI
2(s)+I
1(s)R
I
2(s)=s
αCV
C2(s)
0=s
βLI
2(s)+s
βMI
1(s)+I
2(s)R+V
C2(s)+I
2(s)R
L
Symbol in above equation group is Laplace transform form, has one-to-one relationship, i.e. I with the differential equation of system
1for former limit fractional order inductive current, I
2for secondary fractional order inductive current, V
c1for former limit fractional order capacitance voltage, V
c2for secondary fractional order capacitance voltage.Solve:
In frequency domain, there is s=j ω.Can be in the hope of power output P
ofor:
From the expression formula of power output, the size of power output is mainly relevant with β with mutual inductance M, operating angle frequencies omega, fractional order exponent number α.Further analyze below, the impact of operating frequency on power output, other parameters remain unchanged.The situation of below dividing is discussed the impact of fractional order exponent number on systematic function:
1), as α >1, during β <1, as an example, a kind of design parameter of fractional order parallel-serial resonance radio energy transmission system is: I
s=1A, L=100 μ H, C=0.2533nF, R
l=5 Ω, coupling coefficient k=0.1(and mutual inductance M=k * L), α=1.2, β=0.9, R=0.5 Ω.The relation curve of power output and frequency f as shown in Figure 2.System resonance frequency of (being α=1, β=1, other parameter constants) under same parameter in integer rank is 1MHz, and as shown in Figure 2, the resonance frequency of system is less than 1MHz.As can be seen here, can reduce by choosing fractional order exponent number the resonance frequency of fractional order circuit parallel resonance radio energy transmission system, thereby be conducive to the design of radio energy transmission system.
2), as α <1, during β <1, as an example, a kind of design parameter of fractional order parallel-serial resonance radio energy transmission system is: I
s=1A, L=100 μ H, C=0.2533nF, R
l=5 Ω, coupling coefficient k=0.1(and mutual inductance M=k * L), α=0.8, β=0.9, R=0.5 Ω.As shown in Figure 3, this situation can improve the resonance frequency of system to the relation curve of power output and frequency f greatly, does not wish to occur this situation in real system.
3), as α >1, during β >1, as an example, a kind of design parameter of fractional order parallel-serial resonance radio energy transmission system is: I
s=1A, L=100 μ H, C=0.2533nF, R
l=5 Ω, coupling coefficient k=0.1(and mutual inductance M=k * L), α=1.2, β=1.5, R=0.5 Ω.The relation curve of power output and frequency f as shown in Figure 4.Although this situation has reduced the resonance frequency of system, power output is unsatisfactory, while therefore designing, also should avoid.
4), as α <1, during β >1, as an example, a kind of design parameter of fractional order parallel-serial resonance radio energy transmission system is: I
s=1A, L=100 μ H, C=0.2533nF, R
l=5 Ω, coupling coefficient k=0.1(and mutual inductance M=k * L), α=0.8, β=1.5, R=0.5 Ω.The relation curve of power output and frequency f as shown in Figure 4.Although this situation has reduced the resonance frequency of system, power output is unsatisfactory, while therefore designing, also should avoid.
Situation described above is applicable equally for the situation of α=β.
Above-described embodiment is preferably execution mode of the utility model; but execution mode of the present utility model is not limited by the examples; other any do not deviate from change, the modification done under Spirit Essence of the present utility model and principle, substitutes, combination, simplify; all should be equivalent substitute mode, within being included in protection range of the present utility model.
Claims (3)
1. a fractional order parallel-serial resonance radio energy transmission system, comprises high frequency power source (I
s), radiating portion, receiving unit and load (R
l), it is characterized in that radiating portion comprises the former limit fractional order electric capacity being connected in parallel
with former limit fractional order inductance
former limit fractional order inductance
there is former limit resistance (R
p); Receiving unit comprises the secondary fractional order electric capacity being connected in series
with secondary fractional order inductance
secondary fractional order inductance
there is secondary resistance (R
s).
2. a kind of fractional order parallel-serial resonance radio energy transmission system according to claim 1, is characterized in that former limit fractional order electric capacity
secondary fractional order electric capacity
voltage, current differential relation all meet:
phase relation meets:
wherein, i
cfor fractional order capacitance current, v
cfor fractional order capacitance voltage, α is the exponent number of fractional order electric capacity, and 0 < α≤2, C
αvalue for fractional order electric capacity.
3. a kind of fractional order parallel-serial resonance radio energy transmission system according to claim 1, is characterized in that former limit fractional order inductance
secondary fractional order inductance
voltage, current differential relation all meet:
phase relation meets:
wherein, v
lfor the voltage of fractional order inductance, i
lfor the electric current of fractional order inductance, β is the exponent number of fractional order inductance, and 0 < β≤2, L
βvalue for fractional order inductance.
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103915912A (en) * | 2014-03-31 | 2014-07-09 | 华南理工大学 | Fractional order parallel-series resonance wireless power transmission system |
TWI580150B (en) * | 2015-05-15 | 2017-04-21 | 立錡科技股份有限公司 | Resonant Wireless Power Receiver Circuit and Control Circuit and Wireless Power Conversion Method thereof |
CN107086674A (en) * | 2017-05-03 | 2017-08-22 | 华南理工大学 | A kind of and series compensation type fractional order inductively radio energy transmission system |
CN107666184A (en) * | 2017-10-10 | 2018-02-06 | 华南理工大学 | The source-series tandem type radio energy transmission system of no-voltage based on fractional order electric capacity |
-
2014
- 2014-03-31 CN CN201420156377.1U patent/CN203827074U/en not_active Expired - Fee Related
Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103915912A (en) * | 2014-03-31 | 2014-07-09 | 华南理工大学 | Fractional order parallel-series resonance wireless power transmission system |
CN103915912B (en) * | 2014-03-31 | 2016-04-13 | 华南理工大学 | A kind of fractional order parallel-serial resonant radio energy transmission system |
TWI580150B (en) * | 2015-05-15 | 2017-04-21 | 立錡科技股份有限公司 | Resonant Wireless Power Receiver Circuit and Control Circuit and Wireless Power Conversion Method thereof |
CN107086674A (en) * | 2017-05-03 | 2017-08-22 | 华南理工大学 | A kind of and series compensation type fractional order inductively radio energy transmission system |
CN107666184A (en) * | 2017-10-10 | 2018-02-06 | 华南理工大学 | The source-series tandem type radio energy transmission system of no-voltage based on fractional order electric capacity |
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CF01 | Termination of patent right due to non-payment of annual fee | ||
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Granted publication date: 20140910 Termination date: 20170331 |