CN110971014A - Fractional order series type electric field coupling wireless power transmission system - Google Patents
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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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- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60L—PROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
- B60L53/00—Methods of charging batteries, specially adapted for electric vehicles; Charging stations or on-board charging equipment therefor; Exchange of energy storage elements in electric vehicles
- B60L53/10—Methods of charging batteries, specially adapted for electric vehicles; Charging stations or on-board charging equipment therefor; Exchange of energy storage elements in electric vehicles characterised by the energy transfer between the charging station and the vehicle
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- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
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- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
- Y02T90/10—Technologies relating to charging of electric vehicles
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Abstract
The invention discloses a fractional order series type electric field coupling wireless electric energy transmission system, which comprises a high-frequency power voltage source, a fractional order series type transmitting circuit, a fractional order series type receiving circuit and a coupling capacitor metal polar plate, wherein the high-frequency power voltage source is connected with the fractional order series type transmitting circuit; the fractional order series type transmitting circuit is a resonant circuit formed by connecting a primary fractional order inductor and a primary fractional order compensation capacitor in series, and the fractional order series 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 series. The invention realizes series electric field coupling wireless power transmission by utilizing the fractional order element, increases the dimensionality of system parameter design, is easy to optimize a system, can realize natural constant current output, and reduces the resonant frequency of the system and the design requirement of the whole system on a high-frequency voltage source.
Description
Technical Field
The invention relates to the technical field of space electric field coupling wireless power transmission, in particular to a fractional order series 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 series-connection type space electric field coupling wireless power transmission system is realized based on an integer order element, the degree of freedom of system parameter design is small, the resonant frequency is only determined by inductance and capacitance, the adjustable factors of output power and transmission efficiency are few, and the wireless power transmission with higher power and longer distance is difficult to realize due to the limitation of a high-frequency voltage source technology.
Disclosure of Invention
The invention aims to overcome the defects and shortcomings of the prior art, and provides a fractional order series electric field coupling wireless electric energy transmission system.
In order to achieve the purpose, the technical scheme provided by the invention is as follows: a fractional order series type electric field coupling wireless electric energy transmission system comprises a high-frequency power voltage source, a fractional order series type transmitting circuit, a fractional order series type receiving circuit and a coupling capacitor metal polar plate, wherein the high-frequency power voltage source is connected with the fractional order series type transmitting circuit, the fractional order series type transmitting circuit and the fractional order series type receiving circuit are connected through two coupling capacitor metal polar plates which are connected in parallel, and then wireless electric energy transmission is achieved through an electric field coupling mode; the fractional order series type transmitting circuit is a resonant circuit formed by connecting a primary fractional order inductor and a primary fractional order compensation capacitor in series, the fractional order series 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 series, and natural constant current output and system output power improvement can be achieved 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:
the phase relation satisfies:
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,
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 voltage and current differential relation of the primary side fractional order compensation capacitor and the secondary side fractional order compensation capacitor meets the following requirements:
the phase relation satisfies:
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,
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 independent of the load and the distance, and the double advantages of variable load and variable distance are achieved.
Furthermore, the resonant frequency of the system depends on the order of the fractional order element, and is independent of the load, and the resonant frequency of the system can be reduced by adjusting the order of the fractional order element, so that the design requirement of the system on a high-frequency voltage source is reduced.
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 invention has the following advantages and beneficial effects:
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, and the freedom degree of parameter selection is increased.
2. The order of the fractional order element is selected, so that the resonant frequency of the system can be greatly reduced, the requirements on a high-frequency voltage source and a power electronic device are reduced, and the design of an actual system is facilitated.
3. The fractional order compensation capacitance value is independent of load and distance, and has double advantages for variable load and variable distance.
4. By selecting the proper order of the fractional order element, the transmission power can be higher, and the application in high-power occasions is facilitated.
5. By adjusting the order of the fractional order element, natural constant current output can be realized, and the method is suitable for wireless power supply of a constant current load.
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 content 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 series electric field coupling wireless power transmission system provided in this embodiment includes a high-frequency power voltage source UsA fractional order series type transmitting circuit, a fractional order series type receiving circuit and a coupling capacitor metal polar plate, the high-frequency power voltage source UsThe fractional order series type transmitting circuit and the fractional order series type receiving circuit are connected with a fractional order series type transmitting circuit through two coupling capacitance metal polar plates C in parallelc1、Cc2Connecting, and further realizing wireless electric energy transmission in an electric field coupling mode; the fractional order series-type transmitting circuit is composed of a primary fractional order inductor Lβ1And a primary side fractional order compensation capacitor Cα1A resonance circuit formed by series connection, the fractional order series type receiving circuit is a fractional order inductor L with a secondary sideβ2Secondary side fractional order compensation capacitor Cα2And a load RLThe resonance circuit formed by series connection can realize natural constant current output and improve the output power of the system by adjusting the order of the fractional order element.
Wherein, the order and the inductance value of the primary side fractional order inductor and the secondary side fractional order inductor 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:
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:
according to the coupled mode theory, the coupled mode equation of the system is as follows:
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:
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＝τCα1+τLβ1，τ2＝τCα2+τLβ2+τLIn 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:
the load factor is:
ω1、ω2the resonant angular frequencies of the transmitter and receiver, respectively, are expressed as follows:
from the above formula, the resonance 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 resonance angular frequency of the conventional integer order electric field coupling wireless power transmission system is determined only by the inductance value and the compensation capacitance value.
here, the first and second liquid crystal display panels are,
Cc1and Cc2Is an equivalent capacitance of a single pair of coupled metal plates, generally having Cc1≈Cc2S is the area of the plate, d is the transmission distance, and k<<1。
FejωtFor applying an excitation to an expression in the coupled-mode equation, an
UsIs the effective value of the external excitation voltage source.
A can be obtained according to a coupled mode equation1And a2The steady state solution of (c) is:
the energy | a of the transmitting circuit and the receiving circuit1|2、|a2|2Respectively as follows:
the output power and transmission efficiency of the system thus obtained are:
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:
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.
From the analysis, the series electric field coupling wireless power transmission system realizes series electric field coupling wireless power transmission by utilizing the fractional order element, increases the dimensionality of system parameter design, is easy for system optimization, can realize natural constant current output, effectively reduces the resonant frequency of the system and the design requirement of the whole system on a high-frequency voltage source, can effectively improve the output power of the system, is suitable for high-power application occasions, has performance completely different from that of the traditional integer order series-series compensation electric field coupling wireless power transmission system, has obvious advantages and is worthy of popularization.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to 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 construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.
Claims (6)
1. A fractional order series type electric field coupling wireless power transmission system is characterized in that: the system includes a high frequency power voltage source (U)s) A fractional order series type transmitting circuit, a fractional order series type receiving circuit and a coupling capacitance metal polar plate, the high-frequency power voltage source (U)s) Is connected with a fractional order series type transmitting circuit, and the fractional order series type transmitting circuit and the fractional order series type receiving circuit are connected with each other through two coupling capacitance metal polar plates (C) in parallelc1、Cc2) Connecting, and further realizing wireless electric energy transmission in an electric field coupling mode; the fractional order series-type transmitting circuit is composed of a primary fractional order inductor (L)β1) And a primary side fractional order compensation capacitor (C)α1) A resonance circuit formed by series connection, the fractional order series type 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 series connection can realize natural constant current output and improve the output power of the system by adjusting the order of the fractional order element.
2. The fractional order series electric field coupled wireless power transmission system of 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:
the phase relation satisfies:
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,
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 series electric field coupled wireless power transmission system of claim 1, wherein: the primary side fractional order compensation capacitor (C)α1) Secondary side fractional order compensation capacitance (C)α2) The voltage and current differential relation satisfies:
the phase relation satisfies:
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,
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.
4. The fractional order series electric field coupled wireless power transmission system of claim 1, wherein: the primary side fractional order compensation capacitor (C)α1) And secondary side fractional order compensation capacitance (C)α2) Capacitance value and load (R)L) Independent of distance, it has double advantages for variable load and variable distance.
5. The fractional order series electric field coupled wireless power transmission system of claim 1, wherein: the resonant frequency of the system is dependent on the order of the fractional order element and the load (R)L) Is irrelevantThe resonant frequency of the system can be reduced by adjusting the order of the fractional order element, so that the design requirement of the system on a high-frequency voltage source is reduced.
6. The fractional order series electric field coupled wireless power transmission system of claim 1, wherein: fractional order inductance (L) of primary sideβ1) Secondary side fractional order inductance (L)β2) When the order is 1, the inductance is an integer order inductance; as the primary side fractional order compensation capacitance (C)α1) Secondary side fractional order compensation capacitance (C)α2) When the order is 1, the capacitor is an integer order capacitor.
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| CN114977446A (en) * | 2022-05-19 | 2022-08-30 | 厦门大学 | Semi-active rectification electric energy transmission device based on adaptive fractional order self-control circuit |
| CN115208078A (en) * | 2022-05-19 | 2022-10-18 | 厦门大学 | Semi-active rectification type wireless power transmission device based on fractional order capacitor |
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| CN107104513A (en) * | 2017-05-03 | 2017-08-29 | 华南理工大学 | A kind of series compensation type fractional order inductively radio energy transmission system |
| CN108233553A (en) * | 2018-02-02 | 2018-06-29 | 华南理工大学 | A kind of SS type field coupling radio energy transmission systems based on negative resistance |
| CN211296337U (en) * | 2019-12-17 | 2020-08-18 | 华南理工大学 | Fractional order series type electric field coupling wireless power transmission system |
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| CN107086675A (en) * | 2017-05-03 | 2017-08-22 | 华南理工大学 | A kind of shunt compensation type fractional order inductively radio energy transmission system |
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| CN114977446A (en) * | 2022-05-19 | 2022-08-30 | 厦门大学 | Semi-active rectification electric energy transmission device based on adaptive fractional order self-control circuit |
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