CN108494113A - A kind of autonomy fractional order series connection wireless power transmission systems - Google Patents
A kind of autonomy fractional order series connection wireless power transmission systems Download PDFInfo
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- CN108494113A CN108494113A CN201810563062.1A CN201810563062A CN108494113A CN 108494113 A CN108494113 A CN 108494113A CN 201810563062 A CN201810563062 A CN 201810563062A CN 108494113 A CN108494113 A CN 108494113A
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- 230000005540 biological transmission Effects 0.000 title claims abstract description 37
- 239000003990 capacitor Substances 0.000 claims description 7
- 230000001939 inductive effect Effects 0.000 claims description 6
- 230000013632 homeostatic process Effects 0.000 claims description 4
- 230000008878 coupling Effects 0.000 description 9
- 238000010168 coupling process Methods 0.000 description 9
- 238000005859 coupling reaction Methods 0.000 description 9
- 238000005516 engineering process Methods 0.000 description 3
- 230000003044 adaptive effect Effects 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000005611 electricity Effects 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 230000009897 systematic effect Effects 0.000 description 1
Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
- H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
- H02J50/12—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
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- H04B5/79—
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- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Power Engineering (AREA)
- Current-Collector Devices For Electrically Propelled Vehicles (AREA)
Abstract
The invention discloses a kind of autonomous fractional order series connection wireless power transmission systems, including fractional order radiating circuit and fractional order receiving circuit, wherein, the fractional order radiating circuit includes the primary side fractional order capacitance that primary side fractional order inductance coil of the exponent number less than 1 being connected in series with and exponent number are more than 1；The fractional order receiving circuit includes secondary less than 1 of the exponent number that is connected in series with fractional order capacitance and load when secondary less than 1 in fractional order inductance coil, exponent number.Present system is simple in structure, is not necessarily to high frequency voltage source, and the efficiency of transmission of system can adapt to the variation of the coefficient of coup and resonant frequency automatically, and system output power can adapt to the variation of the coefficient of coup and resonant frequency automatically.
Description
Technical field
The present invention relates to wireless power transmission or the technical fields of wireless power transmission, refer in particular to a kind of autonomous fractional order series connection
Wireless power transmission systems.
Background technology
In World's Fair in 1893, the mankind open to wireless every the bright phosphorescence headlamp of null point in tesla
The exploration of transmission of electricity.In recent years, near field magnetic coupling electric energy transmission technology is based on by broad development.The near field wireless transmission of early stage is usual
It is that can only tune to realize high efficiency of transmission under a specified distance, later technology of frequency tracking and PT are symmetrically using so that nothing
Line transmission system can realize stable electric energy transmission under different distance.Traditional includes symmetrical based on frequency-tracking and PT
For near field wireless power transmission only under conditions of system transmitting is consistent with receiving unit resonant frequency, efficiency of transmission just keeps highest.
But influenced by environment temperature, load, circumferential metal object or electromagnetic environment etc., resonator is humorous in wireless power transmission systems
Vibration frequency easily shifts, and therefore, conventional method is unable to adaptive system is led to resonance by external environment or internal factor interference
The case where frequency shift (FS), efficiency of transmission and output power cannot keep stable.
Invention content
The shortcomings that it is an object of the invention to overcome the prior art and deficiency, it is proposed that a kind of unrelated with resonant frequency variation
Permanent efficiency invariable power autonomous fractional order connect wireless power transmission systems.
To achieve the above object, technical solution provided by the present invention is：A kind of autonomy fractional order series connection wireless power transmission system
System, including fractional order radiating circuit and fractional order receiving circuit, wherein the fractional order radiating circuit includes the rank being connected in series with
Primary side fractional order inductance coil of the number less than 1 and exponent number are more than 1 primary side fractional order capacitance；The fractional order receiving circuit includes
Secondary less than 1 of the exponent number being connected in series with fractional order capacitance and load when secondary less than 1 in fractional order inductance coil, exponent number.
The voltage of the primary side fractional order inductance and secondary side fractional order inductance, current differential relationship meet：Phase
Position relationship meetsWherein iLFor fractional order inductive current, vLFor fractional order inductive drop, β is fractional order inductance exponent number,
And 0 ＜ β≤1, LβFor fractional order inductance inductance value.
The voltage of the primary side fractional order capacitance and secondary side fractional order capacitance, current differential relationship meet：Phase
Position relationship meetsWherein, iCFor fractional order capacitance current, vCFor fractional order capacitance voltage, α is fractional order capacitance exponent number,
CαFor fractional order capacitor's capacity, and the 1 ＜ α of exponent number of primary side fractional order capacitance1＜ 2, the 0 ＜ α of exponent number of secondary side fractional order capacitance2
≤1。
There are two types of operating modes for the primary side fractional order capacitance tool：First, capacitance exponent number is constant, and working frequency and capacitance are certainly
Dynamic system for tracking Parameters variation is worked with holding capacitor homeostasis；The second, working frequency is fixed, and exponent number and capacitance follow automatically
System parameter variations are worked with holding capacitor homeostasis.
Compared with prior art, the present invention having the following advantages that and advantageous effect：
1, system structure is simple, is not necessarily to high frequency voltage source.
2, the efficiency of transmission of system can adapt to the variation of the coefficient of coup and resonant frequency automatically.
3, the output power of system can adapt to the variation of the coefficient of coup and resonant frequency automatically.
Description of the drawings
Fig. 1 is the specific system model provided in embodiment.
Fig. 2 is the relation curve of system efficiency of transmission and the coefficient of coup in embodiment.
Fig. 3 is the relation curve of system output power and the coefficient of coup in embodiment.
Fig. 4 is the relation curve of system efficiency of transmission and secondary side resonance frequency shift in embodiment.
Fig. 5 is the relation curve of system output power and secondary side resonance frequency shift in embodiment.
Specific implementation mode
The present invention is further explained in the light of specific embodiments.
The autonomous fractional order series connection wireless power transmission systems that the present embodiment is provided, basic principle is to be more than 1 using exponent number
The fractional order inductance coil of primary side fractional order capacitance and exponent number less than 1 and exponent number be less than 1 fractional order capacitance and constitute autonomous system,
Make the parameter of primary side fractional order capacitance can be with automatic following system Parameters variation, to realize the perseverance of system efficiency of transmission and power
It is fixed.
As shown in Figure 1, for the specific implementation circuit of the present invention, including fractional order radiating circuit, fractional order receiving circuit, point
Number rank radiating circuit includes that the exponent number being connected in series with is less than 1 primary side fractional order inductance coil Lβ1With the exponent number primary side more than 1 point
Number rank capacitance Cα1；Fractional order receiving circuit includes that the exponent number being connected in series with is less than 1 secondary side fractional order inductance coil Lβ2, exponent number
Secondary side fractional order capacitance C less than 1α2With load RL, wherein exponent number more than 1 primary side fractional order capacitance have negative resistance property
Energy is provided for circuit.Primary side fractional order capacitance of the exponent number more than 1 has the characteristics that apparent energy is constant in the present invention, and has
There are two types of operating modes：First, capacitance exponent number is constant, working frequency and capacitance automatic following system Parameters variation；The second, it works
Frequency is fixed, exponent number and capacitance automatic following system Parameters variation.
Primary side fractional order inductance Lβ1With secondary side fractional order inductance Lβ2Voltage and current differential relationship be satisfied by：
Phase relation meets：
Impedance is：
Wherein iLFor fractional order inductive current, vLFor fractional order inductive drop, β is fractional order inductance exponent number, and 0 ＜ β≤
1, LβFor fractional order inductance inductance value., ω is the work angular frequency of fractional order inductance.
Primary side fractional order capacitance Cα1With secondary side fractional order capacitance Cα2Voltage and current differential relationship be satisfied by：
Phase relation meets：
Impedance is：
Wherein iCFor fractional order capacitance current, vCFor fractional order capacitance voltage, CαFor fractional order capacitor's capacity, ω is score
The work angular frequency of rank capacitance, α are fractional order capacitance exponent number, and 1 ＜ α of exponent number of primary side fractional order capacitance1＜ 2, secondary side point
The 0 ＜ α of exponent number of number rank capacitance2≤1。
According to coupled mode theory, the coupling mode equations of Fig. 1 systems are：
G in formula1、τ2The respectively proportion of goods damageds of the ratio of profit increase of radiating circuit and receiving circuit, and g1=-(τCa1+τLβ1), τ2
=τCa2+τLβ2+τRL, wherein τCa1、τLβ1、τCa2、τLβ2、τRLThe proportion of goods damageds of each element respectively in circuit,Its
Middle k is Mutual Inductance Coupling coefficient, ω1,ω2Respectively the resonance angular frequency of transmitting and receiver, expression formula are as follows：
Each element loss rate expression is as follows：
By formula (1) system can be obtained there are the conditions of steady state solution be：
It can be obtained by formula (1) and formula (9) again：
System effectiveness general expression, which can then be obtained, is：
System output power general expression：
Wherein：
V in formulaCa1For fractional order capacitance voltage virtual value.
It can be obtained by formula (1), system operating frequency solution is：
When primary side fractional order capacitance is operated in the fixed pattern of exponent number, α is enabled1=α0For constant, therefore it is as available from the above equation
The Mutual Inductance Coupling coefficient united when primary side fractional order capacitance exponent number is fixed is ranging from：
kCFor the critical operating point of system.As k ＜ kCWhen, primary side capacitance cannot be operated in exponent number fixed mode, otherwise primary side
Capacitance is unable to steady operation without working frequency solution, so primary side capacitance automatically switches to working frequency fixed mode at this time, ω=
ω2。
As k ＞ kCWhen, primary side fractional order capacitance is operated in exponent number fixed mode α1=α0, enable kmThe maximum designed for system
Mutual inductance.According to formula (3)-(9), can obtain when systematic parameter meets following formula：
τRL＞ ＞ τCa2+τLβ2 (17)
Then τRL/τ2About constant, and efficiency of transmission can be approximated to be:
Output power is approximately：
SCa1For the apparent energy of primary side fractional order capacitance, therefore from the above equation, we can see that, k >=kCWhen system efficiency of transmission and defeated
It is unrelated with mutual inductance and resonant frequency to go out power.
As k ＜ kCWhen, by formula (9)-(14), system efficiency of transmission can be obtained and output power is：
If fractional order inductance coil capacitance is：Lβ1=Lβ2=100uH/s1-β, inductance exponent number is β1=β2=0.9993,
Secondary side capacitance exponent number is α2=0.9997, load resistance carrys out RL=10, secondary side nominal resonant frequency is ω20=2 π * 500kHz, face
Boundary's point Mutual Inductance Coupling coefficient is kC=0.039, maximum Mutual Inductance Coupling coefficient is km=0.2, then required original can be obtained according to formula (15)
Side fractional order capacitance exponent number is α0=1.03.
When receiving circuit resonant frequency is without offset, system efficiency of transmission, the relationship of output power and Mutual Inductance Coupling coefficient
Curve difference is as shown in Figures 2 and 3.By Fig. 2 and Fig. 3 it is found that working as k >=kCWhen, system efficiency of transmission and output power are constant.When
When there is offset in secondary side resonant frequency, by taking k=0.05 as an example, system efficiency of transmission, output power and receiving circuit resonant frequency
The relation curve of offset is as shown in Figure 4 and Figure 5, it can be obtained from the figure that system efficiency of transmission, output power be not with the inclined of resonant frequency
It moves and changes.
As the above analysis, autonomous fractional order of the invention series connection wireless power transmission systems, in the Mutual Inductance Coupling system of design
In number ranges, either the offset of the variation of Mutual Inductance Coupling coefficient either resonant frequency, system can realize efficiency and defeated
Go out power invariability efficiently to transmit, this exist with traditional wireless power transmission systems it is aobvious compared with the difference, present system the advantages of and
It is clear to, is worthy to be popularized.
Embodiment described above is only the preferred embodiments of the invention, and but not intended to limit the scope of the present invention, therefore
Change made by all shapes according to the present invention, principle, should all cover within the scope of the present invention.
Claims (4)
- Wireless power transmission systems, including fractional order radiating circuit and fractional order receiving circuit 1. a kind of autonomy fractional order is connected, it is special Sign is：The fractional order radiating circuit includes that the exponent number being connected in series with is less than 1 primary side fractional order inductance coil (Lβ1) and rank Primary side fractional order capacitance (C of the number more than 1α1)；The fractional order receiving circuit includes secondary side point of the exponent number less than 1 being connected in series with Number rank inductance coil (Lβ2), exponent number be less than 1 secondary side fractional order capacitance (Cα2) and load (RL)。
- The wireless power transmission systems 2. a kind of autonomous fractional order according to claim 1 is connected, it is characterised in that：The primary side point Number rank inductance (Lβ1) and pair side fractional order inductance (Lβ2) voltage, current differential relationship meet：Phase relation is full FootWherein iLFor fractional order inductive current, vLFor fractional order inductive drop, β is fractional order inductance exponent number, and 0 ＜ β ≤ 1, LβFor fractional order inductance inductance value.
- The wireless power transmission systems 3. a kind of autonomous fractional order according to claim 1 is connected, it is characterised in that：The primary side point Number rank capacitance (Cα1) and pair side fractional order capacitance (Cα2) voltage, current differential relationship meet：Phase relation is full FootWherein, iCFor fractional order capacitance current, vCFor fractional order capacitance voltage, α is fractional order capacitance exponent number, CαFor score Rank capacitor's capacity, and the 1 ＜ α of exponent number of primary side fractional order capacitance1＜ 2, the 0 ＜ α of exponent number of secondary side fractional order capacitance2≤1。
- The wireless power transmission systems 4. a kind of autonomous fractional order according to claim 1 is connected, it is characterised in that：The primary side point Number rank capacitance (Cα1) there are two types of operating modes for tool：First, capacitance exponent number is constant, working frequency and capacitance automatic following system parameter Variation is worked with holding capacitor homeostasis；The second, working frequency is fixed, exponent number and capacitance automatic following system Parameters variation with Holding capacitor homeostasis works.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110022005A (en) * | 2019-04-19 | 2019-07-16 | 华南理工大学 | A kind of invariable power dynamic radio electric energy Transmission system of mobile load |
| CN110429722A (en) * | 2019-07-23 | 2019-11-08 | 华南理工大学 | A kind of parallel connection type fractional order autonomy wireless power transmission systems |
| CN110428960A (en) * | 2019-07-23 | 2019-11-08 | 华南理工大学 | A kind of iron-free core transformer based on secondary side parallel connection type fractional order circuit |
| CN110971004A (en) * | 2019-12-17 | 2020-04-07 | 华南理工大学 | Voltage-source-free series autonomous electromagnetic field double-coupling wireless power transmission system |
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| CN103915909A (en) * | 2014-03-31 | 2014-07-09 | 华南理工大学 | Wireless power transmission system with integral-order parts and fractional-order parts realizing series-parallel resonance |
| US20160028239A1 (en) * | 2014-03-31 | 2016-01-28 | South China University Of Technology | Fractional order series resonance system for wireless electric energy transmission |
| CN106410986A (en) * | 2016-11-17 | 2017-02-15 | 华南理工大学 | Fractional order wireless electric energy transmission system using fractional order inductor to counteract internal resistance |
| CN208386254U (en) * | 2018-06-04 | 2019-01-15 | 华南理工大学 | A kind of autonomy fractional order series connection wireless power transmission systems |
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2018
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| CN103915909A (en) * | 2014-03-31 | 2014-07-09 | 华南理工大学 | Wireless power transmission system with integral-order parts and fractional-order parts realizing series-parallel resonance |
| US20160028239A1 (en) * | 2014-03-31 | 2016-01-28 | South China University Of Technology | Fractional order series resonance system for wireless electric energy transmission |
| CN106410986A (en) * | 2016-11-17 | 2017-02-15 | 华南理工大学 | Fractional order wireless electric energy transmission system using fractional order inductor to counteract internal resistance |
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110022005A (en) * | 2019-04-19 | 2019-07-16 | 华南理工大学 | A kind of invariable power dynamic radio electric energy Transmission system of mobile load |
| CN110022005B (en) * | 2019-04-19 | 2024-02-06 | 华南理工大学 | Constant-power dynamic wireless power transmission system for mobile load |
| CN110429722A (en) * | 2019-07-23 | 2019-11-08 | 华南理工大学 | A kind of parallel connection type fractional order autonomy wireless power transmission systems |
| CN110428960A (en) * | 2019-07-23 | 2019-11-08 | 华南理工大学 | A kind of iron-free core transformer based on secondary side parallel connection type fractional order circuit |
| CN110971004A (en) * | 2019-12-17 | 2020-04-07 | 华南理工大学 | Voltage-source-free series autonomous electromagnetic field double-coupling wireless power transmission system |
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