CN211296329U - Fractional order parallel electric field coupling wireless power transmission system - Google Patents

Fractional order parallel electric field coupling wireless power transmission system Download PDF

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CN211296329U
CN211296329U CN201922292680.XU CN201922292680U CN211296329U CN 211296329 U CN211296329 U CN 211296329U CN 201922292680 U CN201922292680 U CN 201922292680U CN 211296329 U CN211296329 U CN 211296329U
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fractional order
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order
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张波
疏许健
江彦伟
魏芝浩
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South China University of Technology SCUT
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Abstract

The utility model discloses a fractional order parallel type electric field coupling wireless electric energy transmission system, including high frequency power current source, fractional order parallel type transmitting circuit, fractional order parallel type receiving circuit and coupling capacitance metal polar plate, high frequency power current source and fractional order series type transmitting circuit parallel connection, fractional order parallel type transmitting circuit and fractional order parallel type receiving circuit link to each other through two coupling capacitance metal polar plates that are parallelly connected; the fractional order parallel type transmitting circuit is a resonant circuit formed by connecting a primary fractional order inductor and a primary fractional order compensation capacitor in parallel, and the fractional order parallel type receiving circuit is a resonant circuit formed by connecting a secondary fractional order inductor, a secondary fractional order compensation capacitor and a load in parallel. The utility model discloses utilize fractional order component to realize electric field coupling wireless power transmission, increased the dimension of system parameter design, easily system optimization can realize constant voltage output, improves even and eliminates load and the influence of distance to resonant frequency, reduces resonant frequency.

Description

Fractional order parallel electric field coupling wireless power transmission system
Technical Field
The utility model belongs to the technical field of the transmission of space electric field coupling wireless power and specifically relates to indicate a fractional order parallel type electric field coupling wireless power transmission system.
Background
According to different power transmission implementation mechanisms and modes, wireless power transmission technologies can be broadly classified into inductive coupling type wireless power transmission technologies, magnetic resonance coupling type wireless power transmission technologies, microwave type wireless power transmission technologies, and electric field coupling type wireless power transmission technologies. Among them, the inductive coupling type, the magnetic resonance coupling type, and the electric field coupling type wireless power transmission technology are most widely studied.
As one of the most widely studied wireless power transmission technologies, the electric field coupling wireless power transmission technology can achieve the same level of transmission distance, output power and transmission efficiency as compared with the inductive coupling wireless power transmission technology, but the energy transmission form is an interactive electric field, the transmission of energy is to transmit energy by using a metal barrier as a part of a coupling plate without being blocked by the metal barrier, and the electric field is basically limited to exist between the coupling plates, so that the electromagnetic interference is greatly reduced. Compared with the magnetic resonance coupling wireless power transmission technology, the electric field coupling mechanism is simple, light and thin, low in cost and easy to change in shape, most of electric flux of the electric field coupling mechanism is distributed between the coupling polar plates in the working state, electromagnetic interference on the surrounding environment is small, and in addition, when metal barriers exist between or around the electric field coupling mechanism, eddy current loss is not generated on the conductor.
At present, conventional space electric field coupling wireless power transmission systems may be classified into a series-series type, a series-parallel type, a parallel-series type, and a parallel-parallel type according to different connection modes of inductors and capacitors. The transmitting circuit adopts a series connection suitable for a voltage source type inverter as a power supply to supply electric energy, and the receiving circuit adopts a series connection suitable for a current source type inverter as a power supply to supply electric energy. The receiving circuit is connected in series and is suitable for the application occasions of high-power loads, such as electric automobiles and the like, while the receiving circuit is connected in parallel and is suitable for the application occasions of low-power loads, such as consumer electronics products, such as mobile phones and the like, and different connection modes have great research significance and practical application value.
The concept of fractional order elements (i.e., fractional order inductance and fractional order capacitance) is derived from fractional order calculus. In fact, the inductance and capacitance elements of integer order do not exist in nature, but the fractional order of the inductance and capacitance adopted at present is close to 1. With the continuous and deep knowledge of the inductance and capacitance characteristics, the fractional order influence of the inductance and capacitance characteristics is considered, or the fractional order of the inductance and capacitance characteristics is purposefully utilized to improve the circuit performance, and the fractional order characteristics have proved to be more advantageous than the integer order components in some application occasions, such as the application in impedance matching circuits. However, the conventional parallel space electric field coupling wireless power transmission system is implemented based on an integer order element, the degree of freedom of system parameter design is small, the resonant frequency is greatly influenced by a load and a distance, the frequency is volatile, the adjustable factors of output power and transmission efficiency are few, and the system is limited by a high-frequency current source technology and is difficult to further develop.
SUMMERY OF THE UTILITY MODEL
The utility model aims to overcome prior art's shortcoming and not enough, a fractional order parallel type electric field coupling wireless power transmission system is proposed, utilize fractional order component to realize parallel type electric field coupling wireless power transmission, the dimension of parameter design has been increased, easily system optimization, can realize constant voltage output, effectively improve or even eliminate load and distance to system resonant frequency's influence, thereby be favorable to avoiding the emergence of system detuning, and can reduce system resonant frequency, thereby the lowering system requires and the design requirement to the current level of high frequency current source, the miniwatt load has high transmission efficiency, be applicable to the application scenario of miniwatt, the performance is distinguished from traditional integer order parallel-parallel compensation type electric field coupling wireless power transmission system completely.
In order to achieve the above object, the present invention provides a technical solution: a fractional order parallel type electric field coupling wireless electric energy transmission system comprises a high-frequency power current source, a fractional order parallel type transmitting circuit, a fractional order parallel type receiving circuit and a coupling capacitor metal polar plate, wherein the high-frequency power current source is connected with a fractional order series type transmitting circuit in parallel; the fractional order parallel type transmitting circuit is a resonant circuit formed by connecting a primary fractional order inductor and a primary fractional order compensation capacitor in parallel, the fractional order parallel type receiving circuit is a resonant circuit formed by connecting a secondary fractional order inductor, a secondary fractional order compensation capacitor and a load in parallel, and constant voltage output and transmission power improvement can be realized by adjusting the order of a fractional order element.
Further, the differential relation between the voltage and the current of the primary side fractional order inductor and the secondary side fractional order inductor satisfies the following condition:
Figure BDA0002322020170000031
the phase relation satisfies:
Figure BDA0002322020170000032
wherein iLnIs the current of a fractional order inductor, uLnIs the voltage of a fractional order inductor, LβnIs the inductance value of the fractional order inductance,
Figure BDA0002322020170000033
is the phase of a fractional order inductor, βnIs the order of fractional order inductance, and 0<βn2, where n-1 or 2 denotes a transmitting circuit or a receiving circuit, respectively.
Further, the differential relation between the voltage and the current of the primary side fractional order compensation capacitor and the secondary side fractional order compensation capacitor meets the following requirements:
Figure BDA0002322020170000034
the phase relation satisfies:
Figure BDA0002322020170000035
wherein iCnFor compensating the current of the capacitor in fractional order, uCnCompensating the voltage of the capacitor for fractional order, CαnIs the capacitance value of the fractional order compensation capacitor,
Figure BDA0002322020170000036
compensating the phase of the capacitor for fractional order, αnCompensating the order of the capacitance for fractional order, and 0<αn2, where n-1 or 2 denotes a transmitting circuit or a receiving circuit, respectively.
Furthermore, the capacitance values of the primary side fractional order compensation capacitor and the secondary side fractional order compensation capacitor are not only related to the load and the distance, but also related to the order of the fractional order element, and the influence of the load and the distance change on the fractional order compensation capacitance value can be improved or even eliminated by adjusting the order of the fractional order element, so that the detuning of the system is favorably reduced or even avoided.
Further, the resonant frequency of the system depends on the order of the fractional order element, and the resonant frequency of the system can be reduced by adjusting the order of the fractional order element, so that the current level requirement and the design requirement of the system on the high-frequency current source are reduced.
Further, the smaller the load power is, the higher the transmission efficiency thereof is, i.e., a low-power load has a high transmission efficiency.
Further, when the order of the primary side fractional order inductor and the secondary side fractional order inductor is 1, the primary side fractional order inductor and the secondary side fractional order inductor are integer order inductors; when the order of the primary side fractional order compensation capacitor and the secondary side fractional order compensation capacitor is 1, the primary side fractional order compensation capacitor and the secondary side fractional order compensation capacitor are integer order capacitors.
Compared with the prior art, the utility model, have following advantage and beneficial effect:
1. the space electric field coupling wireless power transmission realized by the fractional order element is completely different from the traditional electric field coupling wireless power transmission system, the freedom degree of parameter selection is increased, and the system design is easy.
2. By selecting the order of the fractional order element, the influence of the load and the distance on the fractional order compensation capacitance value can be effectively improved or even eliminated, and the detuning of the system can be avoided.
3. By adjusting the order of the fractional order element, the resonance frequency of the electric field coupling wireless power transmission system can be greatly reduced, so that the requirements on a high-frequency current source and a power electronic device are reduced, and the realization and the design of an actual system are facilitated.
4. By adjusting the order of the fractional order element, constant voltage output can be realized, and the method is suitable for wireless power supply of constant voltage loads.
5. The low-power load has high transmission efficiency, and the transmission power can be effectively improved by controlling the order of the fractional order element, thereby being beneficial to the application of low-power occasions.
Drawings
Fig. 1 is a schematic diagram of a specific system structure provided in the embodiment.
Fig. 2 is an equivalent circuit schematic diagram of a specific system provided in the embodiment.
Detailed Description
To further illustrate the aspects and features of the present invention, the following detailed description of the embodiments of the present invention is provided in conjunction with the accompanying drawings, but the invention is not limited thereto.
As shown in fig. 1 and fig. 2, the fractional order parallel electric field coupling wireless power transmission system provided in this embodiment includes a high-frequency power current source IsA fractional order parallel type transmitting circuit, a fractional order parallel type receiving circuit and a coupling capacitance metal polar plate, the high-frequency power current source IsThe fractional order parallel type transmitting circuit and the fractional order parallel type receiving circuit are connected in parallel through two coupling capacitance metal pole plates C in parallelc1、Cc2Connecting, and further realizing wireless electric energy transmission in an electric field coupling mode; the fractional order parallel type transmitting circuit is composed of a primary side fractional order inductor Lβ1And a primary side fractional order compensation capacitor Cα1A resonance circuit formed by parallel connection, wherein the fractional order parallel receiving circuit is a fractional order inductor (L) with a secondary sideβ2) Secondary side fractional order compensation capacitor Cα2And a load RLThe resonance circuit formed by parallel connection can realize constant voltage output and improve transmission power by adjusting the order of the fractional order element.
Wherein the primary side fractional order inductance and the secondary side fractional order inductanceThe order and inductance are β respectively1、β2And Lβ1、Lβ2,β1、β2Satisfies 0<β1、2The order and capacity of the primary side fractional order compensation capacitor and the secondary side fractional order compensation capacitor are α respectively1、α2And Cα1、Cα2,α1、α2Satisfies 0<α1、2Less than or equal to 2. Impedance expressions of the primary side fractional order inductor, the primary side fractional order compensation capacitor, the secondary side fractional order inductor and the secondary side fractional order compensation capacitor are respectively as follows:
Figure BDA0002322020170000051
Figure BDA0002322020170000052
Figure BDA0002322020170000053
Figure BDA0002322020170000054
as can be seen from the above impedance expression, the fractional order inductor can be equivalent to a series connection of an integer order resistor and an integer order inductor that vary with the operating frequency and the order, and the fractional order compensation capacitor can be equivalent to a series connection of an integer order resistor and an integer order capacitor that vary with the operating frequency and the order, that is:
Figure BDA0002322020170000061
Figure BDA0002322020170000062
Figure BDA0002322020170000063
Figure BDA0002322020170000064
according to the coupled mode theory, the coupled mode equation of the system is as follows:
Figure BDA0002322020170000065
in the formula, a1And a2The energy storage method is characterized by comprising the following steps of (1) defining a complex variable stored by a primary side resonant circuit and a secondary side resonant circuit, wherein the square of a module value of the complex variable represents the energy stored by the resonant circuit, and the specific expression is as follows:
Figure BDA0002322020170000066
in the formula i1And i2Current of the transmitting circuit and current of the receiving circuit, u, respectivelyCα1_eqAnd uCα2_eqThe voltage of the imaginary part impedance component of the primary side fractional order capacitor and the secondary side fractional order capacitor is respectively.
τ1、τ2Total loss rate of the transmitting circuit and total loss rate of the receiving circuit, and τ1=τCα1Lβ1,τ2=τCα2Lβ2LIn which τ isCα1、τLβ1、τCα2、τLβ2Respectively the loss rate, tau, of each element in the circuitLFor the load factor, the specific expression is as follows:
Figure BDA0002322020170000071
Figure BDA0002322020170000072
Figure BDA0002322020170000073
Figure BDA0002322020170000074
the load factor is:
Figure BDA0002322020170000075
ω1、ω2the resonant angular frequencies of the transmitter and receiver, respectively, are expressed as follows:
Figure BDA0002322020170000076
from the above formula, the resonant angular frequency of the system depends not only on the inductance value of the fractional order inductor and the capacitance value of the fractional order compensation capacitor, but also on the order of the fractional order inductor and the compensation capacitor, whereas the resonant angular frequency of the conventional integer order electric field coupling wireless power transmission system is determined only by the inductance value and the capacitance value.
Figure BDA0002322020170000081
Is an electric field energy coupling coefficient, wherein k is the electric field coupling coefficient, and the specific expression is as follows:
Figure BDA0002322020170000082
here, the first and second liquid crystal display panels are,
Figure BDA0002322020170000083
Cc1and Cc2Is an equivalent capacitance of a single pair of coupled metal plates, generally having Cc1≈Cc2S is the area of the plate and d is the transmission distance.
FejωtFor applying an excitation to an expression in the coupled-mode equation, an
Figure BDA0002322020170000084
IsIs the effective value of the external high-frequency power current source.
A can be obtained according to a coupled mode equation1And a2The steady state solution of (c) is:
Figure BDA0002322020170000085
the energy | a of the transmitting circuit and the receiving circuit1|2、|a2|2Respectively as follows:
Figure BDA0002322020170000086
the output power and transmission efficiency of the system thus obtained are:
Figure BDA0002322020170000087
Figure BDA0002322020170000091
in order to make the system transmitting circuit and receiving circuit implement resonance compensation of the system, the working angular frequency satisfies: omega-omega1=ω2The output power and transmission efficiency of the system can then be expressed as:
Figure BDA0002322020170000092
Figure BDA0002322020170000093
from the above equation, the output power and transmission efficiency of the system are not only related to the operating angular frequency ω of the power supply and the coupling capacitance CcAlso relevant is order β of fractional order inductance1、β2And fractional order compensation capacitor α1、α2Is related to the order of (a). The output power and the transmission efficiency of the traditional electric field coupling wireless power transmission system are only equal to the working angular frequency omega and the coupling capacitor CcIt is related.
According to the above analysis, the utility model discloses utilize fractional order component to realize parallelly connected type electric field coupling wireless power transmission, the dimension of parameter design has been increased, easily system optimization, can realize constant voltage output, effectively improve even eliminate load and the influence of distance to system resonant frequency, thereby be favorable to avoiding the emergence of system mistuning, and can reduce system resonant frequency, thereby the lowering system requires and the designing requirement to the current level of high frequency current source, the miniwatt load has high transmission efficiency, be applicable to the application scenario of miniwatt, the performance is distinguished from traditional integer order parallel compensation type electric field coupling wireless power transmission system completely, the utility model discloses the advantage of system is obvious, is worth promoting.
The above embodiments are preferred embodiments of the present invention, but the embodiments of the present invention are not limited by the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be equivalent replacement modes, and all are included in the scope of the present invention.

Claims (3)

1. A fractional order parallel electric field coupling wireless power transmission system is characterized in that: the system comprises a high frequency power current source (I)s) A fractional order parallel type transmitting circuit, a fractional order parallel type receiving circuit and a coupling capacitance metal polar plate, the high-frequency power current source (I)s) Connected in parallel with a fractional order series type transmitting circuit, the fractional order parallel type transmitting circuit and the fractional order parallel type receiving circuit are connected in parallel through two coupling capacitance metal plates (C)c1、Cc2) Connecting, and further realizing wireless electric energy transmission in an electric field coupling mode; the fractional order parallel type transmitting circuit is composed of a primary side fractional order inductor (L)β1) And a primary side fractional order compensation capacitor (C)α1) A resonance circuit formed by parallel connection, wherein the fractional order parallel receiving circuit is a fractional order inductor (L) with a secondary sideβ2) Secondary side fractional order compensation capacitance (C)α2) And a load (R)L) The resonance circuit formed by parallel connection can realize constant voltage output and improve transmission power by adjusting the order of the fractional order element.
2. The fractional order parallel electric field coupled wireless power transmission system according to claim 1, wherein: the primary side fractional order inductance (L)β1) And secondary fractional order inductance (L)β2) The voltage and current differential relation satisfies:
Figure FDA0002322020160000011
the phase relation satisfies:
Figure FDA0002322020160000012
wherein iLnIs the current of a fractional order inductor, uLnIs the voltage of a fractional order inductor, LβnIs the inductance value of the fractional order inductance,
Figure FDA0002322020160000013
is the phase of a fractional order inductor, βnIs the order of fractional order inductance, and 0<βn2, where n-1 or 2 denotes a transmitting circuit or a receiving circuit, respectively.
3. The fractional order parallel electric field coupled wireless power transmission system according to claim 1, wherein: the primary side fractional order compensation capacitor (C)α1) And secondary side fractional order compensation capacitance (C)α2) The voltage and current differential relation satisfies:
Figure FDA0002322020160000014
the phase relation satisfies:
Figure FDA0002322020160000015
wherein iCnFor compensating the current of the capacitor in fractional order, uCnCompensating the voltage of the capacitor for fractional order, CαnIs the capacitance value of the fractional order compensation capacitor,
Figure FDA0002322020160000016
compensating the phase of the capacitor for fractional order, αnCompensating the order of the capacitance for fractional order, and 0<αn2, where n-1 or 2 denotes a transmitting circuit or a receiving circuit, respectively.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110932409A (en) * 2019-12-17 2020-03-27 华南理工大学 Fractional order parallel electric field coupling wireless power transmission system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110932409A (en) * 2019-12-17 2020-03-27 华南理工大学 Fractional order parallel electric field coupling wireless power transmission system

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