CN112003384B - Periodic reciprocating flow method of electrons of electric field coupling type wireless power transmission system - Google Patents
Periodic reciprocating flow method of electrons of electric field coupling type wireless power transmission system Download PDFInfo
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- CN112003384B CN112003384B CN202010738628.7A CN202010738628A CN112003384B CN 112003384 B CN112003384 B CN 112003384B CN 202010738628 A CN202010738628 A CN 202010738628A CN 112003384 B CN112003384 B CN 112003384B
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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
- H02J50/05—Circuit arrangements or systems for wireless supply or distribution of electric power using capacitive coupling
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- 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
- Y02T90/14—Plug-in electric vehicles
Abstract
The invention discloses an electronic periodic reciprocating flow method of an electric field coupling type wireless electric energy transmission system, which comprises the steps of firstly establishing a topological structure of the electric field coupling type wireless electric energy transmission system with double coupling polar plates; then, assuming that the current direction is changed only once in a half switching period, and finishing the forward flow of current from the primary side of the system to the secondary side of the system in the last half switching period, wherein the coupling capacitor is an isolation unit; in the next half of the switching period, finishing the reverse flow of current from the secondary side of the system to the primary side of the system, wherein the coupling capacitor is an isolation unit; and a closed loop circuit is formed in one period, so that the electric energy is transferred from the primary side of the system to the secondary side of the system, and the periodic reciprocating flow of electrons is formed. The invention solves the problems that the electric field coupling type wireless power transmission system in the prior art can only work in a closed-loop circuit and electrons can only flow in a complete circuit closed loop.
Description
Technical Field
The invention belongs to the technical field of wireless power transmission, and particularly relates to an electronic periodic reciprocating flow method of an electric field coupling type wireless power transmission system.
Background
Wireless power transmission is a technology that can realize power transmission without physical contact. There are various methods of wireless power transmission including magnetic field coupling-based wireless power transmission, electric field coupling-based wireless power transmission, laser-based optical power transmission, and far-field RF microwave energy transmission. The magnetic field coupling type wireless electric energy transmission system realizes the function of wireless electric energy transmission by using a non-radiative magnetic field with the frequency range of kHz-MHz, and the coupling inductor is used for generating a magnetic field. Magnetic field coupling type wireless power transmission systems have been widely used in underwater devices, implantable medical devices, mobile devices, electric vehicles, and unmanned aircraft. When the magnetic field coupling type wireless power transmission technology is applied to an air medium, the magnetic field coupling type wireless power transmission technology has the advantages of high efficiency, current isolation and high reliability.
In a seawater environment, the underwater magnetic field coupling type wireless power transmission system can generate eddy current loss in conductive seawater, the mutual inductance between the inductance coils can change along with the change of the seawater conductivity, and the seawater conductivity can change along with the change of the seawater temperature and salinity. In addition to the fact that the underwater magnetic field coupling type wireless power transmission system is affected by the pressure of seawater to generate a piezomagnetic effect, the underwater magnetic field coupling type wireless power transmission system is sensitive to nearby metal materials, and can generate redundant heat and bring a large amount of energy loss.
Compared with a magnetic field coupling type wireless power transmission system, the electric field coupling type wireless power transmission system adopts a very high frequency (MHz) electric field to transmit power from a transmitting end to a receiving end. The coupling polar plate of the transmitting end and the coupling polar plate of the receiving end jointly form a coupling capacitance mechanism. Generally, electric field coupled wireless power transmission systems are often used in low power applications. In recent years, electric field coupling type wireless power transmission systems have been applied to wireless power transmission at a power level of several kilowatts and a transmission distance of several tens of centimeters. The electric field coupling type wireless power transmission system technology is highly developed, and the technology can also be used for electric automobiles and full-electric airplanes.
Since the dielectric constant of seawater is about 81 times that of free space or air, the undersea power transmission capability of the electric field coupling type wireless power transmission system in the seawater medium is greatly enhanced. In the conductive seawater, the electric field coupling type wireless power transmission system has the advantages of simple system structure, no eddy current loss and the like, and is not greatly influenced by surrounding metal during operation. In addition, only the metal plate is used as a medium for wireless power transmission, so that the cost can be reduced to a great extent. Therefore, the electric field coupling type wireless power transmission system has bright application prospect in the aspect of undersea wireless power transmission. However, the electric field coupled wireless power transmission system can only work in a closed circuit, and electrons can only flow in a complete closed circuit. At present, no article or report provides an application of how to realize undersea wireless power transmission by using an electric field coupling type wireless power transmission system based on a double-coupling polar plate. The periodic reciprocating flow method of the electrons provides a new idea for the application of the electric field coupling type wireless power transmission system in the sea.
Under the background, the invention provides an electric field coupling type underwater wireless power transmission system electronic periodic reciprocating flow theory.
Disclosure of Invention
The invention aims to provide an electronic periodic reciprocating flow method of an electric field coupling type wireless power transmission system, which solves the problems that the electric field coupling type wireless power transmission system in the prior art can only work in a closed-loop circuit and electrons can only flow in a complete circuit closed loop.
The technical scheme adopted by the invention is that the electronic periodic reciprocating flow method of the electric field coupling type wireless electric energy transmission system is implemented according to the following steps:
step 1, establishing a topological structure of a double-coupling polar plate electric field coupling type wireless electric energy transmission system;
step 2, assuming that the current direction is changed only once in a half switching period, and the primary side current I in the last half switching period1FFrom the power supply VinFlow direction inductor L1And a coupling plate P1(ii) a At the same time, on the secondary side of the system, the current I2FSlave coupling plate P2And an inductance L2Flow direction output filter capacitor CoThe load finishes the forward flow of current from the primary side of the system to the secondary side of the system in the last half switching period, and the coupling capacitor is an isolation unit;
step 3, in the next half of the switching period, the primary side current I of the system1SSlave coupling plate P1And an inductance L1To ground G1While, on the secondary side of the system, the current I2SSlave inductor L2Flow direction coupling polar plate P2In the next half of the switching period, the reverse flow of current from the secondary side of the system to the primary side of the system is completed, and the coupling capacitor is an isolation unit;
and 4, in a conductive medium, forming a closed loop circuit in one period by using a double-coupling polar plate electric field coupling type wireless electric energy transmission system and using a coupling capacitor as an isolation unit, and meanwhile, completing the transmission of electric energy from the primary side of the system to the secondary side of the system in one period, so that the periodic reciprocating flow of electrons is formed.
The present invention is also characterized in that,
the topological structure of the double-coupling polar plate electric field coupling type wireless power transmission system in the step 1 is specifically as follows: comprising a coupling plate P1And a coupling plate P2Coupling polar plate P1And a coupling plate P2A conductive medium is filled between the two plates, and the coupling polar plate P1And an inductance L1Connected in series to the input side of the system, which comprises a switching tube S1And a switching tube S2Is connected with a power supply V in seriesinParallel connected, switch coupled plates P2And an inductance L2Connected in series to the output side of the system, the output side of the system comprising a diode D1And a diode D2Through the form of self series connection with the output filter capacitor CoAnd a load connected in parallel.
Coupling polar plate P1And a coupling plate P2The conductive medium filled between the two layers is seawater.
The step 2 is as follows:
under the condition of seawater, the dielectric constant, the temperature, the salt concentration and the angular frequency of electromagnetic waves of the seawater conducting medium have the following relations:
wherein epsilonsea(S, T, omega) is the dielectric constant epsilon of the seawater conducting medium∞(S, T) is the dielectric constant, ε, of seawater at infinite frequency0Is the dielectric constant of free space, epsilon0=8.854×10-12Fm-1Where ω is 2 π f, f is the frequency of the electromagnetic wave, εS(S, T) is the static permittivity of seawater, δ (S, T) is the ionic conductivity of seawater, τ (S, T) is the Debye relaxation time; s is the salinity of the seawater, and T is the temperature of the seawater;
in the seawater medium, the capacitance C formed by the two coupling plates is represented as:
wherein, l represents the length of the coupling polar plate, d represents the distance between the transmitting end coupling polar plate and the receiving end coupling polar plate;
in the electric field coupling type wireless power transmission system with double coupling polar plates, the coupling capacitor CMExpressed as:
CM=C (3)
by means of half-bridge inverter circuits, resonant voltage v of the primary sidePComprises the following steps:
by means of half-bridge rectifier circuits, resonant voltage v on the secondary sideSAnd a load voltage v0The following relationships exist:
in the first half of switching period, based on kirchhoff current law KCL and kirchhoff voltage law KVL principle, primary side current i1FAnd secondary side current i2FExpressed as:
wherein v isinIs an input voltage vL1Is an inductance L1Voltage uP1For coupling the polar plate P1Voltage of L1Is an inductance L1Inductance value of uP2For coupling the polar plate P2Voltage v ofL2Is an inductance L2Voltage v of0Is the output voltage, R, of the electric field coupling type wireless power transmission systemLIs a load resistance value, L2Is an inductance L2Inductance value of, C0For outputting filter capacitors CoOf capacitance value, ωS=2πfS,fSIs the switching frequency;
in the first half of the switching period, the current i of the coupling capacitorCFExpressed as:
wherein C is the equivalent capacitance of the coupling capacitor.
The step 3 is as follows:
in the next half of the switching period, based on kirchhoff's current law KCL and kirchhoff's voltage law KVL principle, the primary side current i1SAnd secondary side current i2SExpressed as:
in the next half of the switching cycle, the current i of the coupling capacitorCSExpressed as:
the step 4 is as follows:
during a switching period, the charge and discharge of the coupling capacitor are balanced, and are represented as:
wherein, ICFFor charging the coupling capacitor in the first half of the switching cycle, ICSIs the discharge current of the coupling capacitor in the next half of the switching period;
in one switching period, the coupling capacitor equivalently completes one-time charging and discharging, and current flows in the system in a reciprocating mode twice, so that the electric energy is transferred from the primary side to the secondary side of the electric field coupling type wireless electric energy transmission system.
The electric field coupling type underwater wireless power transmission system has the beneficial effects that (1) the electric field coupling type underwater wireless power transmission system has no eddy current loss and is insensitive to the existence of surrounding metal, is very suitable for an underwater wireless charging scene, and can operate at high power and high efficiency; (2) in a dynamic underwater environment, the underwater equipment can be stably charged in an isolated manner. The stable and convenient undersea wireless power transmission is realized by using a seawater medium-based double-coupling polar plate electric field coupling type wireless power transmission system and combining an electronic periodic reciprocating flow theory of the novel electric field coupling type wireless power transmission system provided by the invention; (3) the electric field coupling type underwater wireless power transmission system can charge underwater equipment only by adopting a metal plate, so that the cost of underwater wireless power transmission can be reduced to a great extent; (4) the electron periodic reciprocating flow theory of the electric field coupling type wireless power transmission system can provide a new solution for the application of the electric field coupling type wireless power transmission system in the sea.
Drawings
Fig. 1 is a topology of a dual-coupling polar plate electric field coupling type wireless power transmission system according to the present invention;
fig. 2(a) is a schematic diagram of electron flow in a half switching period in a dual-coupling plate electric field coupling wireless power transmission system according to the present invention;
fig. 2(b) is an equivalent circuit diagram of a half switching period of the double-coupling polar plate electric field coupling type wireless power transmission system according to the present invention;
fig. 3(a) is a schematic diagram of electron flow of the lower half switching period of the electric field coupling wireless power transmission system with two coupling plates according to the present invention;
fig. 3(b) is an equivalent circuit diagram of the lower half of the switching period of the electric field coupling type wireless power transmission system with double coupling plates according to the present invention;
FIG. 4(a) shows the coupling plate P in a conductive medium1Is higher than the coupling plate P2When the voltage is higher than the preset voltage, the electron flow schematic diagram of the double-coupling polar plate electric field coupling type wireless electric energy transmission system is shown;
FIG. 4(b) shows the coupling plate P in a conductive medium1Is less than the voltage of the coupling plate P2The voltage of the wireless power transmission system is equal to the voltage of the wireless power transmission system.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
The invention discloses an electronic periodic reciprocating flow method of an electric field coupling type wireless electric energy transmission system, which is implemented according to the following steps:
step 1, establishing a topological structure of a double-coupling polar plate electric field coupling type wireless electric energy transmission system;
as shown in fig. 1, the topology structure of the electric field coupling wireless power transmission system with double coupling plates in step 1 is specifically: comprising a coupling plate P1And a coupling plate P2Coupling polar plate P1And a coupling plate P2Between them is filled with conductive medium, and the coupling polar plate P1And an inductance L1Connected in series to the input side of the system, which comprises a switching tube S1And a switching tube S2Is connected with a power supply V in seriesinParallel connected, switch coupled plates P2And an inductance L2Connected in series to the output side of the system, the output side of the system including a diode D1And a diode D2Through the form of self series connection with the output filter capacitor CoAnd a load in parallel.
Coupling polar plate P1And a coupling plate P2The conductive medium filled between the two layers is seawater.
Step 2, assuming that the current direction is changed only once in half of the switching period, the first halfPrimary side current I in switching period1FFrom the power supply VinFlow direction inductor L1And a coupling plate P1(ii) a At the same time, on the secondary side of the system, the current I2FSlave coupling plate P2And an inductance L2Flow direction output filter capacitor CoThe load finishes the forward flow of current from the primary side of the system to the secondary side of the system in the first half switching period, and the coupling capacitor is an isolation unit;
the step 2 is as follows:
under the condition of seawater, the dielectric constant, the temperature, the salt concentration and the angular frequency of electromagnetic waves of the seawater conducting medium have the following relations:
wherein epsilonsea(S, T, omega) is the dielectric constant epsilon of the seawater conducting medium∞(S, T) is the dielectric constant, ε, of seawater at infinite frequency0Is the dielectric constant of free space, epsilon0=8.854×10-12Fm-1Where ω is 2 π f, f is the frequency of the electromagnetic wave, εS(S, T) is the static permittivity of seawater, δ (S, T) is the ionic conductivity of seawater, τ (S, T) is the Debye relaxation time; s is the salinity of the seawater, and T is the temperature of the seawater;
in the seawater medium, the capacitance C formed by the two coupling plates is represented as:
wherein, l represents the length of the coupling polar plate, d represents the distance between the transmitting end coupling polar plate and the receiving end coupling polar plate;
in the electric field coupling type wireless power transmission system with double coupling polar plates, the coupling capacitor CMExpressed as:
CM=C (3)
by means of half-bridge inverter circuits, resonant voltage v of the primary sidePComprises the following steps:
by means of half-bridge rectifier circuits, resonant voltage v of the secondary sideSAnd a load voltage v0The following relationships exist:
in the first half of switching period, based on kirchhoff current law KCL and kirchhoff voltage law KVL principle, primary side current i1FAnd secondary side current i2FExpressed as:
wherein v isinIs an input voltage vL1Is an inductance L1Voltage uP1For coupling the polar plate P1Voltage of L1Is an inductance L1Inductance value of uP2For coupling the polar plate P2Voltage v ofL2Is an inductance L2Voltage v of0Is the output voltage, R, of the electric field coupling type wireless power transmission systemLIs a load resistance value, L2Is an inductance L2Inductance value of, C0For outputting filter capacitors CoCapacitance value of (c), ωS=2πfS,fSIs the switching frequency;
in the first half of the switching period, the current i of the coupling capacitorCFExpressed as:
wherein C is the equivalent capacitance of the coupling capacitor.
Step 3, in the next half of the switching period, the primary side current I of the system1SSlave coupling plate P1And an inductance L1To ground G1While, on the secondary side of the system, the current I2SSlave inductor L2Flow direction coupling polar plate P2In the next half of the switching period, the reverse flow of current from the secondary side of the system to the primary side of the system is completed, and the coupling capacitor is an isolation unit;
the step 3 is as follows:
in the next half of the switching period, based on kirchhoff current law KCL and kirchhoff voltage law KVL principle, primary side current i1SAnd secondary side current i2SExpressed as:
in the next half of the switching cycle, the current i of the coupling capacitorCSExpressed as:
and 4, in a conductive medium, forming a closed loop circuit in one period by using a double-coupling-plate electric field coupling type wireless electric energy transmission system and using a coupling capacitor as an isolation unit, and meanwhile, completing the transmission of electric energy from the primary side of the system to the secondary side of the system in one period, so that the periodic reciprocating flow of electrons is formed.
The step 4 is as follows:
during a switching period, the charge and discharge of the coupling capacitor are balanced, and are represented as:
wherein, ICFFor charging the coupling capacitor in the first half of the switching cycle, ICSThe discharge current of the coupling capacitor in the next half switching period;
in one switching period, the coupling capacitor equivalently completes one-time charging and discharging, and current flows in the system in a reciprocating mode twice, so that the electric energy is transferred from the primary side to the secondary side of the electric field coupling type wireless electric energy transmission system.
The electric field coupling type wireless electric energy transmission system adopts a four-coupling polar plate coupling capacitance mechanism or a six-coupling polar plate coupling capacitance mechanism, realizes the electric field coupling type wireless electric energy transmission of the double-coupling polar plate capacitance mechanism by utilizing the periodic reciprocating flow method of electrons, simplifies the coupling capacitance mechanism, and improves the power density of the system and the cost of the wireless electric energy transmission system. The double-coupling polar plate electric field coupling type wireless electric energy transmission system is convenient for application of wireless electric energy transmission under water.
Fig. 1 shows a topology structure of an electric field coupling type wireless power transmission system based on a dual-coupling polar plate. VinFor inputting power, a switching tube S1And a switching tube S2Forming a half-bridge inverter circuit, an inductor L1And an inductance L2A primary side resonance compensation unit, a secondary side resonance compensation unit and a coupling polar plate P1And a coupling plate P2Forming a coupling capacitor unit, diode D1And a diode D2Forming a diode-based half-bridge rectifier circuit, a capacitor CoFor the output filter capacitor, the load unit may be a battery or a resistor, etc.
Fig. 2(a) is a schematic diagram of electron flow in a half switching period of a dual-coupling plate electric field coupling wireless power transmission system. When switching tube S1Conducting, switching tube S2At turn-off, primary current I1FFrom the power supply VinTo the inductance L1And a coupling capacitance unit flows. Secondary side current I2FFrom coupling capacitor unit to inductor L2Filter capacitor CoAnd load flow.
Fig. 2(b) is an equivalent circuit diagram of the lower half of the switching period of the electric field coupling wireless power transmission system with double coupling plates. When switching tube S2Conducting, switching tube S1When turned off, the inductance L1Can be equivalent to a power supply VL1And a resistance RL1Of the form of a coupling plate P1Terminal voltage is UP1Coupling polar plate P2Terminal voltage is UP2Inductance L2Can be equivalent to a power supply VL2And a resistance RL2In the form of an output filter capacitor C with the resistance of the output terminaloResistance R ofCoAnd a load resistance RLEquivalent parallel resistance of (3).
Fig. 3(a) is a schematic diagram of electron flow in the lower half of a switching period of a dual-coupling plate electric field coupling wireless power transmission system. When switching tube S2Conducting, switching tube S1At turn-off, primary current I1SFrom coupling capacitance to inductance L1And flow in situ. Secondary side current I2SSlave inductor L2Flows in the direction of the coupling capacitance. During this period, the filter capacitor CoPower is continuously supplied to the load.
Fig. 3(b) is an equivalent circuit diagram of the lower half of the switching period of the electric field coupling wireless power transmission system with double coupling plates. When switching tube S2Conducting, switching tube S1When turned off, the inductance L1Can be equivalent to a power supply VL1And a resistance RL1Of the form of a coupling plate P1Terminal voltage is UP1Coupled pole plate P2Terminal voltage is UP2Inductance L2Can be equivalent to a power supply VL2And a resistance RL2In the form of an output filter capacitor C with the resistance of the output terminaloResistance R ofCoAnd a load resistance RLEquivalent parallel resistance of (3).
FIG. 4(a) shows the top half of the switching cycle in a conducting medium, when coupling plate P1Is higher than the coupling plate P2The voltage of the wireless power transmission system is shown as an electron flow schematic diagram of the electric field coupling type wireless power transmission system with the double coupling polar plates. When coupling polar plate P1Is higher than the coupling plate P2OnWhen the voltage is applied, the electrons in the primary wire move away from the coupling polar plate P1Is flowing in the direction of (a). Electrons in the secondary conductor approach the coupling polar plate P2Is flowing in the direction of (a). Coupling polar plate P1And a coupling plate P2Electron in the conductive medium therebetween from the coupling plate P2Directional coupling polar plate P1And the flow direction is changed.
FIG. 4(b) shows the next half of the switching cycle in a conductive medium, when coupling plate P1Is less than the coupling plate P2The voltage of the wireless power transmission system is shown as an electron flow schematic diagram of the electric field coupling type wireless power transmission system with the double coupling polar plates. When coupling polar plate P1Is less than the coupling plate P2At the time of the voltage, the electrons in the primary wire get close to the coupling plate P1Is flowing in the direction of (a). The electrons in the secondary wire are far away from the coupling polar plate P2Is flowing in the direction of (a). Coupling polar plate P1And a coupling plate P2Electron in the conductive medium therebetween from the coupling plate P1To the coupling polar plate P2And the flow direction is changed.
The invention provides an electronic periodic reciprocating flow method of an electric field coupling type wireless electric energy transmission system, which is applied to the electric field coupling type wireless electric energy transmission system and solves the problems that the electric field coupling type wireless electric energy transmission system in the prior art can only work in a closed loop circuit and electrons can only flow in a complete circuit closed loop. The wireless power transmission of the double-coupling polar plate electric field coupling type wireless power transmission system is realized based on an electronic periodic reciprocating flow method. The wireless power transmission method of the invention can be applied to the environment of a conductive medium, such as a submarine environment, a kerosene medium environment and the like.
The electric field coupling type underwater wireless electric energy transmission system has no eddy current loss and is insensitive to the existence of surrounding metals, is very suitable for underwater wireless charging scenes, and can operate at high power and high efficiency; in a dynamic underwater environment, the underwater equipment can be stably charged in an isolated manner. The stable and convenient underwater application of the double-coupling polar plate electric field coupling type wireless electric energy transmission system is realized through the electron periodic reciprocating flow theory provided by the invention; the electric field coupling type underwater wireless power transmission system can charge underwater equipment only by adopting a metal plate, so that the cost of underwater wireless power transmission can be reduced to a great extent; the electron periodic reciprocating flow theory of the electric field coupling type wireless power transmission system can provide a new solution for the application of the electric field coupling type wireless power transmission system in the sea.
Claims (3)
1. The method for the periodic reciprocating flow of the electrons of the electric field coupling type wireless electric energy transmission system is characterized by comprising the following steps:
step 1, establishing a topological structure of a double-coupling polar plate electric field coupling type wireless electric energy transmission system;
the topological structure of the double-coupling polar plate electric field coupling type wireless power transmission system in the step 1 is specifically as follows: comprising a coupling plate P1And a coupling plate P2Coupling polar plate P1And a coupling plate P2A conductive medium is filled between the two plates, and the coupling polar plate P1And an inductance L1Connected in series to the input side of the system, which comprises a switching tube S1And a switching tube S2Through self-series connection with a power supply VinParallel connected, switch coupled plates P2And an inductance L2Connected in series to the output side of the system, the output side of the system comprising a diode D1And a diode D2Through the form of self series connection with the output filter capacitor CoConnected in parallel with a load;
the coupling polar plate P1And a coupling plate P2The conductive medium filled between the two layers is seawater;
step 2, assuming that the current direction is changed only once in a half switching period, and the primary side current I in the last half switching period1FFrom the power supply VinFlow direction inductor L1And a coupling plate P1(ii) a At the same time, on the secondary side of the system, the current I2FSlave coupling plate P2And an inductance L2Flow direction output filter capacitor CoAnd a load, completing the current slave system in the upper half of the switching periodThe system primary side flows to the system secondary side in the positive direction, and the coupling capacitor is an isolation unit;
the step 2 is specifically as follows:
under the condition of seawater, the dielectric constant, the temperature, the salt concentration and the angular frequency of electromagnetic waves of the seawater conducting medium have the following relations:
wherein epsilonsea(S, T, omega) is the dielectric constant of the seawater conducting medium, epsilon∞(S, T) is the dielectric constant, ε, of seawater at infinite frequency0Is the dielectric constant of free space, epsilon0=8.854×10-12Fm-1Where ω is 2 π f, f is the frequency of the electromagnetic wave, εS(S, T) is the static permittivity of seawater, δ (S, T) is the ionic conductivity of seawater, τ (S, T) is the Debye relaxation time; s is the salinity of the seawater, and T is the temperature of the seawater;
in the seawater medium, the capacitance C formed by the two coupling plates is represented as:
wherein, l represents the length of the coupling polar plate, d represents the distance between the transmitting end coupling polar plate and the receiving end coupling polar plate;
in the double-coupling polar plate electric field coupling type wireless electric energy transmission system, the coupling capacitor CMExpressed as:
CM=C (3)
by means of half-bridge inverter circuits, resonant voltage v of the primary sidePComprises the following steps:
by means of half-bridge rectifier circuits, resonant voltage v on the secondary sideSAnd a load voltage v0The following relationships exist:
in the first half of switching period, based on kirchhoff current law KCL and kirchhoff voltage law KVL principle, primary side current i1FAnd secondary side current i2FExpressed as:
wherein v isinIs an input voltage vL1Is an inductance L1Voltage uP1For coupling the polar plate P1Voltage of (L), L1Is an inductance L1Inductance value of uP2For coupling the polar plate P2Voltage v ofL2Is an inductance L2Voltage v of0Is the output voltage, R, of the electric field coupling type wireless power transmission systemLIs a load resistance value, L2Is an inductance L2Inductance value of, C0For outputting filter capacitors CoOf capacitance value, ωS=2πfS,fSIs the switching frequency;
in the first half of the switching period, the current i of the coupling capacitorCFExpressed as:
wherein C is the equivalent capacitance value of the coupling capacitor;
step 3, in the next half of the switching period, the primary side current I of the system1SSlave coupling plate P1And an inductance L1To ground G1All are the same asAt the secondary side of the system, the current I2SFrom inductance L2Flow direction coupling polar plate P2In the next half of the switching period, the reverse flow of current from the secondary side of the system to the primary side of the system is completed, and the coupling capacitor is an isolation unit;
and 4, in a conductive medium, forming a closed loop circuit in one period by using a double-coupling polar plate electric field coupling type wireless electric energy transmission system and using a coupling capacitor as an isolation unit, and meanwhile, completing the transmission of electric energy from the primary side of the system to the secondary side of the system in one period, so that the periodic reciprocating flow of electrons is formed.
2. The method for periodically flowing electrons in an electric field coupled wireless power transmission system according to claim 1, wherein the step 3 is as follows:
in the next half of the switching period, based on kirchhoff current law KCL and kirchhoff voltage law KVL principle, primary side current i1SAnd secondary side current i2SExpressed as:
in the next half of the switching cycle, the current i of the coupling capacitorCSExpressed as:
3. the method for periodically flowing electrons in an electric field coupled wireless power transmission system according to claim 2, wherein the step 4 is as follows:
during a switching period, the charge and discharge of the coupling capacitor are balanced, and are represented as:
wherein, ICFFor charging the coupling capacitor in the first half of the switching cycle, ICSIs the discharge current of the coupling capacitor in the next half of the switching period;
in one switching period, the coupling capacitor equivalently completes one-time charging and discharging, and current flows in the system in a reciprocating mode twice, so that the electric energy is transferred from the primary side to the secondary side of the electric field coupling type wireless electric energy transmission system.
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