CN108494113B - Autonomous fractional order series wireless power transmission system - Google Patents
Autonomous fractional order series wireless power transmission system Download PDFInfo
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- CN108494113B CN108494113B CN201810563062.1A CN201810563062A CN108494113B CN 108494113 B CN108494113 B CN 108494113B CN 201810563062 A CN201810563062 A CN 201810563062A CN 108494113 B CN108494113 B CN 108494113B
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- 230000005540 biological transmission Effects 0.000 title claims abstract description 34
- 239000003990 capacitor Substances 0.000 claims abstract description 45
- 230000008878 coupling Effects 0.000 claims abstract description 17
- 238000010168 coupling process Methods 0.000 claims abstract description 17
- 238000005859 coupling reaction Methods 0.000 claims abstract description 17
- 238000000034 method Methods 0.000 claims description 2
- 238000005516 engineering process Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000007613 environmental effect Effects 0.000 description 1
- 239000002184 metal Substances 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—
Abstract
The invention discloses an autonomous fractional order serial wireless power transmission system, which comprises a fractional order transmitting circuit and a fractional order receiving circuit, wherein the fractional order transmitting circuit comprises a primary side fractional order inductance coil with the order less than 1 and a primary side fractional order capacitor with the order greater than 1 which are connected in series; the fractional order receiving circuit comprises a secondary side fractional order inductance coil with the order smaller than 1, a secondary side fractional order capacitor with the order smaller than 1 and a load which are connected in series. The system has simple structure, does not need a high-frequency voltage source, can automatically adapt to the change of the coupling coefficient and the resonance frequency, and can automatically adapt to the change of the coupling coefficient and the resonance frequency.
Description
Technical Field
The invention relates to the technical field of wireless power transmission or wireless power transmission, in particular to an autonomous fractional order series wireless power transmission system.
Background
In 1893 world exposition, tesla lights a phosphorescent light at intervals, and turns on human exploration of wireless transmission. In recent years, electric energy transmission technology based on near-field magnetic coupling has been widely developed. Early near field wireless transmission is generally capable of achieving efficient transmission only by tuning at a specified distance, and later frequency tracking technology and PT symmetry are utilized to enable a wireless power transmission system to achieve stable power transmission at different distances. Conventional near field wireless transmission, including frequency tracking and PT symmetry, maintains the highest transmission efficiency only if the resonant frequencies of the transmit and receive units of the system coincide. However, due to the influence of environmental temperature, load, surrounding metal objects or electromagnetic environment, etc., the resonant frequency of the resonator in the wireless power transmission system is very easy to deviate, so that the conventional method cannot adapt to the situation that the system is interfered by external environment or internal factors to deviate the resonant frequency, and the transmission efficiency and the output power cannot be kept stable.
Disclosure of Invention
The invention aims to overcome the defects and shortcomings of the prior art and provides a constant-efficiency constant-power autonomous fractional order series wireless power transmission system which is irrelevant to the change of resonant frequency.
In order to achieve the above purpose, the technical scheme provided by the invention is as follows: an autonomous fractional order serial wireless power transmission system comprises a fractional order transmitting circuit and a fractional order receiving circuit, wherein the fractional order transmitting circuit comprises a primary side fractional order inductance coil with the order less than 1 and a primary side fractional order capacitor with the order greater than 1 which are connected in series; the fractional order receiving circuit comprises a secondary side fractional order inductance coil with the order smaller than 1, a secondary side fractional order capacitor with the order smaller than 1 and a load which are connected in series.
The voltage and current differential relation between the primary side fractional order inductor and the secondary side fractional order inductor meets the following conditions:the phase relation satisfies->Wherein i is L For fractional order inductor current, v L Beta is the fractional order inductance order, and 0 < beta is less than or equal to 1, L β Is the fractional inductance value.
The voltage and current differential relation between the primary side fractional order capacitor and the secondary side fractional order capacitor meets the following conditions:the phase relation satisfies->Wherein i is C For fractional order capacitive current, v C For fractional capacitor voltage, α is fractional capacitor order, C α Is the capacitance value of the fractional order capacitor, and the order of the primary side fractional order capacitor is 1 < alpha 1 < 2, the order of the secondary side fractional capacitance is 0 < alpha 2 ≤1。
The primary fractional capacitor has two working modes: firstly, the capacitor order is constant, and the working frequency and the capacitance automatically follow the system parameter change so as to keep the capacitor to work stably; secondly, the working frequency is fixed, and the order and the capacitance automatically change along with the system parameters so as to keep the capacitor to work stably.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. the system has simple structure and does not need a high-frequency voltage source.
2. The transmission efficiency of the system can automatically adapt to the variation of the coupling coefficient and resonance frequency.
3. The output power of the system can automatically adapt to the variation of the coupling coefficient and resonance frequency.
Drawings
FIG. 1 is a specific system model provided in an embodiment.
Fig. 2 is a graph showing a relationship between transmission efficiency and coupling coefficient of a system according to an embodiment.
FIG. 3 is a graph showing the relationship between the output power and the coupling coefficient of the system according to the embodiment.
FIG. 4 is a graph showing the relationship between the transmission efficiency of the system and the secondary resonance frequency shift in the embodiment.
FIG. 5 is a plot of system output power versus secondary resonant frequency shift in an embodiment.
Detailed Description
The invention will be further illustrated with reference to specific examples.
The basic principle of the autonomous fractional order serial wireless power transmission system provided by the embodiment is that an autonomous system is formed by using a primary side fractional order capacitor with the order being more than 1, a fractional order inductance coil with the order being less than 1 and a fractional order capacitor with the order being less than 1, so that parameters of the primary side fractional order capacitor can automatically change along with system parameters, and the constant transmission efficiency and power of the system are realized.
As shown in FIG. 1, the circuit for implementing the invention comprises a fractional-order transmitting circuit and a fractional-order receiving circuit, wherein the fractional-order transmitting circuit comprises a primary side fractional-order inductance coil L which is connected in series and has the order less than 1 β1 And primary side fractional order capacitor C with order greater than 1 α1 The method comprises the steps of carrying out a first treatment on the surface of the The fractional order receiving circuit comprises a series connection of secondary side fractional order inductance coils L with the order less than 1 β2 Secondary side fractional order capacitor C with order less than 1 α2 And a load R L The primary fractional order capacitance with an order greater than 1 has a negative resistance to energize the circuit. The primary side fractional order capacitor with the order more than 1 has the characteristic of constant apparent power, and has two working modes: firstly, the capacitance order is constant, and the working frequency and the capacitance value automatically follow the change of system parameters; secondly, the working frequency is fixed, and the order and the capacitance automatically follow the change of system parameters.
Primary side fractional order inductance L β1 And secondary fractional order inductance L β2 The voltage-current differential relationship of (a) is as follows:
the phase relation satisfies:
the impedance is:
wherein i is L For fractional order inductor current, v L Beta is the fractional order inductance order, and 0 < beta is less than or equal to 1, L β Is the fractional inductance value. ω is the operating angular frequency of the fractional order inductor.
Primary side fractional capacitor C α1 And secondary fractional capacitor C α2 The voltage-current differential relationship of (a) is as follows:
the phase relation satisfies:
the impedance is:
wherein i is C For fractional order capacitive current, v C For fractional capacitor voltage, C α For fractional capacitance, ω is fractional capacitanceAlpha is the order of the fractional capacitor, and the order of the primary fractional capacitor is 1 < alpha 1 < 2, the order of the secondary side fractional capacitance is 0 < alpha 2 ≤1。
According to the coupling mode theory, the coupling mode equation of the system of FIG. 1 is:
g in 1 、τ 2 Gain ratio of transmitting circuit and loss ratio of receiving circuit, respectively, and g 1 ＝-(τ Ca1 +τ Lβ1 )，τ 2 ＝τ Ca2 +τ Lβ2 +τ RL Wherein τ Ca1 、τ Lβ1 、τ Ca2 、τ Lβ2 、τ RL The loss rates of the elements in the circuit are respectively,where k is the mutual inductance coupling coefficient, ω 1 ,ω 2 The resonant angular frequencies of the transmitter and receiver, respectively, are expressed as follows:
the specific expression of the loss rate of each element is as follows:
the conditions under which the system has a steady state solution can be obtained from equation (1) are:
further, from the formula (1) and the formula (9):
the general formula of the system efficiency that can be obtained is:
the system output power is generally:
wherein:
v in Ca1 Is the fractional order capacitance voltage effective value.
The system operating frequency solution is as follows, which can be obtained from equation (1):
when the primary fractional capacitor works in a mode with a fixed order, let alpha 1 ＝α 0 Is constant, so that the range of mutual inductance coupling coefficients of the system when the primary fractional capacitance order is fixed is as follows:
k C is the critical operating point of the system. When k is less than k C When the primary capacitor cannot work in the order fixed mode, otherwise, the primary capacitor cannot work stably without the working frequency solution, so that the primary capacitor is automatically switched into the working frequency fixed mode at the moment, and ω=ω2.
When k > k C When the primary fractional capacitor works in the fixed-order mode alpha 1 ＝α 0 Let k m The maximum mutual inductance is designed for the system. According to the formulas (3) to (9), when the system parameters satisfy the following formulas:
τ RL ＞＞τ Ca2 +τ Lβ2 (17)
then τ RL /τ 2 About constant, and the transmission efficiency can be approximated as:
the output power is approximately:
S Ca1 apparent for primary fractional capacitanceFrom the above equation, it can be seen that k.gtoreq.k C The transmission efficiency and the output power of the system are irrelevant to the mutual inductance coefficient and the resonance frequency.
When k is less than k C When the system transmission efficiency and output power are obtained by the formulas (9) - (14):
the capacitance value of the fractional order inductance coil is set as follows: l (L) β1 ＝L β2 ＝100uH/s 1-β An inductance order of beta 1 ＝β 2 =0.9993, secondary side capacitance order α 2 =0.9997, load resistance R L =10, secondary side nominal resonant frequency ω 20 =2pi×500kHz, and the critical point mutual inductance coupling coefficient is k C =0.039, maximum mutual inductance coupling coefficient k m =0.2, the required primary fractional capacitance order according to equation (15) is α 0 ＝1.03。
When the resonant frequency of the receiving circuit is not shifted, the relation curves of the transmission efficiency, the output power and the mutual inductance coupling coefficient of the system are respectively shown in fig. 2 and fig. 3. As can be seen from FIGS. 2 and 3, when k.gtoreq.k C When the system transmission efficiency and the output power are constant. When there is a shift in the secondary resonant frequency, taking k=0.05 as an example, the relationship between the transmission efficiency and the output power of the system and the shift of the resonant frequency of the receiving circuit is shown in fig. 4 and 5, where the transmission efficiency and the output power of the system are not changed with the shift of the resonant frequency.
According to the analysis, the autonomous fractional order series wireless power transmission system can realize constant and efficient transmission of efficiency and output power no matter the mutual inductance coupling coefficient changes or the resonance frequency shifts in the designed mutual inductance coupling coefficient range, and has the advantages obvious and worth popularizing compared with the traditional wireless power transmission system.
The above embodiments are only preferred embodiments of the present invention, and are not intended to limit the scope of the present invention, so variations in shape and principles of the present invention should be covered.
Claims (3)
1. An autonomous fractional order serial wireless power transmission system, comprising a fractional order transmitting circuit and a fractional order receiving circuit, characterized in that: the fractional order transmitting circuit comprises a series connection of primary side fractional order inductance coils (L β1 ) And a primary fractional order capacitance (C α1 ) The method comprises the steps of carrying out a first treatment on the surface of the The fractional order receiving circuit comprises a series connection of secondary fractional order inductance coils (L β2 ) Secondary side fractional order capacitance (C α2 ) And a load (R) L )；
The primary fractional capacitance (C α1 ) There are two modes of operation: firstly, the capacitor order is constant, and the working frequency and the capacitance automatically follow the system parameter change so as to keep the capacitor to work stably; secondly, the working frequency is fixed, and the order and the capacitance automatically change along with the system parameters so as to keep the capacitor to work stably;
when the primary-side fractional capacitor works in a mode with a fixed order, the primary-side fractional capacitor is made to have an order alpha 1 =secondary fractional capacitance order α 0 The range of the mutual inductance coupling coefficient k when the primary side fractional capacitance order of the system is fixed is obtained as a constant:
k C as the critical operating point of the system,loss rate for the receiving circuit; when k is less than k C When the primary capacitor cannot work in the order fixed mode, otherwise the primary capacitor cannot work stably without the working frequency solution, so the primary capacitor can work stablyThe capacitor is automatically switched to a fixed mode of working frequency, and the working angular frequency omega of fractional order capacitor=the resonant angular frequency omega of the receiver 2 ；
When k > k C When the primary fractional capacitor works in the fixed-order mode alpha 1 ＝α 0 Let k m The maximum mutual inductance is designed for the system.
2. An autonomous fractional order series wireless power transfer system as defined in claim 1 wherein: the primary side fractional order inductance (L β1 ) And secondary fractional order inductance (L β2 ) The voltage and current differential relationship of (2) satisfies:the phase relation satisfies->Wherein i is L For fractional order inductor current, v L Beta is the fractional order inductance order, and 0 < beta is less than or equal to 1, L β Is the fractional inductance value.
3. An autonomous fractional order series wireless power transfer system as defined in claim 1 wherein: the primary fractional capacitance (C α1 ) And a secondary fractional capacitance (C α2 ) The voltage and current differential relationship of (2) satisfies:the phase relation satisfies->Wherein i is C For fractional order capacitive current, v C For fractional capacitor voltage, α is fractional capacitor order, C α Is the capacitance value of the fractional order capacitor, and the order of the primary side fractional order capacitor is 1 < alpha 1 < 2, the order of the secondary side fractional capacitance is 0 < alpha 2 ≤1。
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| 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 |
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| Publication number | Priority date | Publication date | Assignee | Title |
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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 |
| 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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| CN103915915B (en) * | 2014-03-31 | 2016-04-13 | 华南理工大学 | A kind of fractional order series resonance radio energy transmission system |
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| Publication number | Priority date | Publication date | Assignee | Title |
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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 |
| 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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