CN107908846A - A kind of magnetic field analytical method of magnetic resonance type wireless power technology in high-voltage electric power circuit monitoring - Google Patents

A kind of magnetic field analytical method of magnetic resonance type wireless power technology in high-voltage electric power circuit monitoring Download PDF

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CN107908846A
CN107908846A CN201711086366.5A CN201711086366A CN107908846A CN 107908846 A CN107908846 A CN 107908846A CN 201711086366 A CN201711086366 A CN 201711086366A CN 107908846 A CN107908846 A CN 107908846A
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wireless power
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power supply
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CN107908846B (en
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周洪
蒋燕
高星冉
罗语婷
胡文山
陈诚
邓其军
张兴豪
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Wuhan University WHU
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    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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Abstract

A kind of magnetic field analytical method of magnetic resonance type wireless power technology in being monitored the invention discloses high-voltage electric power circuit.It include designing high-tension line on-line monitoring terminal wireless power supply unit overall architecture, build high-tension line on-line monitoring terminal wireless power supply unit module, be axial isometrical individual layer densely packed coil based on loop construction, establish cylindrical-coordinate system and carry out the distribution in transmitting terminal magnetic field and calculate, establish 1:The simulation model of 1 size tries to achieve the distribution of wireless power supply surrounding magnetic field, the calculating of overall resultant magnetic field, the calculating of alternating current magnetic field, builds experiment porch and verified.Compared with conventional electromagnetic computer sim- ulation software Ansoft Maxwell, computational methods solving speed of the invention is fast, and has close computational accuracy.Using this method, the electromagnetism that common computer can carry out complexity calculates, and is of great significance to the design optimization of high-voltage radio power supply unit and its electromagnetic security.

Description

A kind of magnetic field point of magnetic resonance type wireless power technology in high-voltage electric power circuit monitoring Analysis method
Technical field
The present invention relates to wireless power transmission technology, and in particular to the magnetic resonance type in high-voltage electric power circuit monitoring wirelessly supplies The magnetic field analytical method of electricity.
Background technology
The target of high-tension electricity conveying, it is intended to which the transmission of electricity of medium and long distance, passes through the interconnection between remote system, structure Pool.In order to save cultivated area, most transmission lines of electricity is subject to the test of various severe running environment, Power-line patrolling is very difficult.Therefore on ultra-high-tension power transmission line, on-line monitoring technique and live detection technology shape are mostly employed The system of a variety of complex technique compositions such as state monitoring is monitored as supplement to replace manpower to realize circuit, to find thing early Therefore hidden danger and excluded in time, make it and run all the time with good state, provide reliable operational support for transmission line of electricity and arrange Apply.
In existing document, the theory analysis on magnetic resonance type radio energy transmission system mainly utilizes Biot's Safa that Law and ellptic integral formula, solve single-turn circular coil in the magnetic field of space point, multiturn coil is equivalent into multiple single turn lines The superposition of circle is either using Ansoft Maxwell, Ansoft HFSS, CST EMImitated etc. electromagnetic finite element True software and COMSOL Multiphysics multiple physical field coupling Simulations software carries out simulation calculation.For finite element simulation, If it is desired to higher solving precision, then need finer mesh generation, if domain is larger at this time, when can cause emulation Between it is longer, or even can not be emulated.
The content of the invention
Herein on the basis of the studies above, any position around wireless power supply is tried to achieve with reference to the method for " distance reciprocal " The magnetic vector potential at place is put, so as to try to achieve the analytic solutions of device surrounding magnetic field and its induced electric field, and is had with reference to Ansoft Maxwell The simulation result of Xian Yuan simulation softwares, analyzes the Distribution of Magnetic Field around device, additionally by the electrical potential difference of transmission coil Caused electric field takes into account, the carry out global analysis to the distribution of wireless power supply peripheral electromagnetic field, so as to be hyperbaric environment The feasibility analysis of lower wireless power supply is provided fundamental basis, and has higher accuracy and faster solving speed.
To realize the purpose of the present invention, it is achieved using following technical scheme:
The magnetic field analytical method of magnetic resonance type wireless power technology in a kind of high-voltage electric power circuit monitoring, with reference to " reciprocal The method of distance " is tried to achieve the magnetic vector potential of any position around wireless power supply and is imitated with reference to Ansoft Maxwell finite elements The simulation result of true software, analyzes the Distribution of Magnetic Field around device;Simulation result includes the magnetic induction in simulation software Intensity distribution, Magnetic Induction Density Distribution figure only around transmitting terminal actuating coil under resonant condition, and transmission coil are operated in Magnetic induction intensity instantaneous value distribution map at Frequency point.
Utilize the distribution meter that " distance reciprocal " combines Neumann addition theorems and Lipshitz integrations try to achieve transmitting terminal magnetic field Calculate and carry out simulation calculation and analysis.
On the basis of utilizing " distance reciprocal " to obtain transmitting terminal Distribution of Magnetic Field, the calculating of overall resultant magnetic field is carried out, its Include determining working frequency, calculate alternating current magnetic field, and design calculation procedure carrys out realization theory calculating.
Specifically include following steps;
Step 1, design high-tension line on-line monitoring terminal wireless power supply unit overall architecture, build high-tension line and supervise online Terminal wireless power supply unit module is surveyed to design a model;
Step 2, based on loop construction be axial isometrical individual layer densely packed coil, establishes cylindrical-coordinate system and carries out transmitting terminal magnetic field Distribution calculate;
Step 3, in Ansoft Maxwell softwares, using identical parameter, contrast Ansoft Maxwell electromagnetic fields Finite element software, establishes 1:The simulation model of 1 size, and under identical current excitation, try to achieve magnetic around wireless power supply Field distribution;
Step 4, the calculating of overall resultant magnetic field:Chosen during frequency of occurrences separating phenomenon with the obvious transmitting for differentiating feature The Frequency point at maximum transmission power is held, as the working frequency point of wireless power supply, with regard under this working frequency dotted state The electromagnetic field of device carries out the analysis of Ansoft Maxwell software emulations, and draws the theoretical calculation formula of alternating current magnetic field, formula It is as follows:
Transmitting coil and receiving coil work at the same time Frequency point f corresponding in device maximum transmission power0Magnetic under state Vector potential is:A=A1+A2
Wherein, I(λ,μ,ν)(R, r, | u |) be corresponding to r to z to magnetic induction intensity expression formula Bezier La Pula This integration type.μ0For vacuum magnetic conductance, R is coil radius, and r is the distance between any one source point and site, wire turn in magnetic field Length is 2h, and N is coil turn,For the unit vector in magnetic vector potential direction, I1、I2Respectively transmitting coil and receiving coil Current effective value, i.e. voltage effective value USWith the ratio of resistance.
The program that step 5, design wireless power supply surrounding magnetic field and magnetic field induced electric field calculate, in step 2,3,4 Theoretical calculation using MATLAB programming complete;
Step 6, the parameter by example, build the experiment porch of high-tension line on-line monitoring terminal wireless power supply unit, right The accuracy and validity of above-mentioned Distribution of Magnetic Field computational methods are verified.
Program in the step 5 comprises the following steps:
Step 5.1, material, coiling radius, the number of turn, width and the transmission range parameter of coil are set;
Step 5.2, frequency sweep analysis transmitting terminal electric current, determining device working frequency and corresponding current excitation, in cylindrical coordinates The solution scope in definite magnetic field down;
Step 5.3, the r of transmitting coil and receiving coil under the conditions of this is determined according to the value range of longitudinal height z respectively To with z to magnetic induction intensity;
Step 5.4, in summary all conditions, by transmitting coil and receiving coil each r to z to magnetic induction intensity into Row superposition, and drafting pattern.
The purpose of the present invention is:In order to promote application of the wireless power transmission technology in high-tension electricity monitoring, it is necessary to pin To based on the wireless power supply of the technology is defeated to high pressure, the influence of distribution line normal operation, and high pressure is defeated, distribution line Influence to wireless power supply is analyzed.Furthermore, it is also necessary to analyze wireless power supply and its supply object i.e. monitoring is set The influence of other standby and surrounding electronic equipments, and the influence that these electronic equipments work normally wireless power supply, this The outer problem that influences each other for also having wireless power supply and human body.By above-mentioned influence control in the range of relevant criterion limit value, Circuit and equipment of the wireless power supply i.e. around its installation is set to continue to work normally and ensure the safety of neighbouring personnel, this The algorithm that invention proposes is used for realization the magnetic field analysis for improving the magnetic resonance type wireless power supply in high-voltage electric power circuit monitoring Efficiency and accuracy.
Brief description of the drawings
Fig. 1 monitors terminal wireless power supply unit overall construction drawing on-line for high-tension line.
Fig. 2 monitors terminal wireless power supply unit overall structure graph of a relation on-line for high-tension line.
Fig. 3 is high-voltage power transmission device structure diagram.
Fig. 4 is transmitting terminal circuit diagram.
Fig. 5 is that transmitting coil arranges schematic diagram in cylindrical-coordinate system.
Fig. 6 is the equivalent circuit diagram of wireless power supply.
Fig. 7 is the arrangement schematic diagram of transmitting coil and receiving coil.
Fig. 8 is the calculation procedure flow chart of wireless power supply surrounding magnetic field induction field.
Embodiment
Understand for the ease of those of ordinary skill in the art and implement the present invention, with reference to the accompanying drawings and embodiments to this hair It is bright to be described in further detail, it will be appreciated that implementation example described herein is merely to illustrate and explain the present invention, not For limiting the present invention.
Step 1, high-tension line on-line monitoring terminal wireless power supply unit overall architecture is designed, high-tension line is built and supervises online Terminal wireless power supply unit module is surveyed to design a model.The overall structure of high-tension line on-line monitoring terminal wireless power supply unit is as schemed Shown in 1.Its framework mainly includes three parts:High-voltage power transmission device, high-frequency energy emitter, high-frequency energy reception device. Relation between this three parts is as shown in Figure 2.Wherein it is near to be fixed on high-voltage line for high-voltage power transmission device and high-frequency energy emitter At insulator, high-voltage power transmission device obtains industrial-frequency alternating current from high-tension line, by its control circuit that industrial-frequency alternating current is whole Circulation turns to direct current, and powers for high-frequency energy emitter.Control circuit in high-frequency energy emitter uses inversion After direct current is transformed into high-frequency alternating current by device, the high frequency that electric energy is wirelessly transmitted at insulator other end shaft tower Energy acceptance device, receiving terminal receive and high-frequency alternating current are converted into direct current through electric energy by rectifier control device after energy It is the line monitoring equipment power supply on shaft tower after output circuit filtering voltage stabilizing processing.To meet the requirement of engineer application, device is each Part is packaged device processing using the Package casing of high reliability, allows it to meet relevant mechanical performance It is required that and electrical performance demands.
High-voltage power transmission device is made of high pressure taking energy coil, electricity getting device control circuit;High-frequency energy emitter is specific It is made of transmitting terminal control circuit, transmitting terminal capacitance, transmitting terminal transmission coil;High-frequency energy reception device is by receiving terminal transmission line Circle, receiving terminal capacitance, receiving terminal rectifier control device, electric energy output circuit composition.
High-voltage power transmission device is made of high pressure power taking structure and electricity getting device control circuit.Wherein control circuit includes taking energy Power control circuit, energy storage device, steady voltage regulator circuit.Magnetic field around high-voltage line is converted into alternating voltage by power taking structure, The rectified filter circuit of alternating voltage becomes direct current.If the electric energy obtained will make the voltage liter of device beyond the electric energy of consumption Height, then voltage comparator output control signal, opens the switch S that releases, unnecessary energy is released in a manner of electric current.High pressure Electricity getting device design is as shown in Figure 3.
Step 2, transmitting terminal equivalent circuit according to RLC series circuit condition of resonance as shown in figure 4, try to achieve consolidating for series circuit There is angular frequency1, corresponding intrinsic frequency f1, and calculate the transient expression formula of supply voltage.
It is axial isometrical individual layer densely packed coil based on loop construction, establishes cylindrical-coordinate system and solved.The radius of coil For R, turn length 2h, coil turn N, the Litz line coilings of 0.01mmx500 strands of individual layer.The center of coil is placed in coordinate Origin, sets any one source point and the distance parameter of site in coil, as shown in Figure 5.
With radius r, angle φ, tri- variables of height z are reference axis, establish cylindrical coordinate.Calculate in cylindrical coordinates, for (coordinate is by any site P in figure:R1, φ 1, z1) and any source point Q (coordinate is:R2, φ 2, z2) distance between two points fall " distance reciprocal " number, i.e., the summation integration type of distance reciprocal can be obtained using Lipshitz integrations and Neumann addition theorems.Meter Calculate the magnetic vector potential and current density vectors of any site in magnetic field.Since coil is on the symmetrical coiling of z-axis, so around coil Distribution of Magnetic Field it is unrelated with phase, the integration type of magnetic vector potential is obtained using orthogonality of trigonometric function, and curl is asked to magnetic vector potential, Try to achieve magnetic induction intensity.Certain point in magnetic field is taken, its coordinate is (r, φ, z).It can be asked respectively using Bessel functions recurrence relation , as z≤- h ,-h<z<When h, z >=h, r to z to magnetic induction intensity.Further asked by Bezier Laplace's azimuth formula Solve r to z to magnetic induction intensity.When trying to achieve coil resonance respectively around coil r to z to Magnetic Induction Density Distribution Afterwards, using Superposition Formula and the relation of electromagnetic wave time-domain and frequency-domain, the instantaneous value of magnetic induction intensity at any time can be derived.
Step 3, transmitting terminal magnetic field simulation is calculated and analyzed.In order to test the above-mentioned theoretical calculation on Distribution of Magnetic Field Card, using identical parameter, contrasts Ansoft Maxwell electromagnetic finite element softwares, establishes 1:The simulation model of 1 size, and Under identical current excitation, the distribution of wireless power supply surrounding magnetic field is tried to achieve.With the magnetic strength of t=0 moment wireless power supplies Answer exemplified by intensity distribution to be analyzed.For the ease of comparing, with wireless power supply peripheral part typical field at t=0 moment Exemplified by magnetic induction intensity value at point, its simulation calculation value and calculated value are listed in table respectively.The table have recorded at certain Under one ordinate z, the calculated value and experiment test value of magnetic induction intensity during different distance (i.e. r different).Wherein ordinate z Change to 0.6m from -0.6m, coordinate r changes to 0.5m from 0, in the range of uniformly take a record result.
Step 4, the calculating of overall resultant magnetic field.The equivalent circuit diagram of wireless power supply is as shown in Figure 6.Dress described herein Put when being used for 10kV high-tension lines, since the limitation of in-site installation condition is (on the premise of dielectric strength is ensured, in order to ensure to fill The stability of construction and installation is put, the spacing of wireless power supply transmission coil is related with the position of fixed support), on-line running When transmitting terminal and the coil outer edge axial direction spacing of receiving terminal be 0.5m, capacitance CsAnd CdIt is 435pF, high-voltage power transmission device Output voltage be 24v, transmitting terminal circuit duty cycle 50%, transmitting terminal equivalent resistance RsFor 3.8 Ω, receiving terminal equivalent resistance Rd For 2 Ω, on-line monitoring equipment (load) equivalent resistance RLFor 14.5 Ω.
When wireless power supply working frequency gradually increases, successively there is two peak points and a paddy in transmitting terminal electric current It is worth point, i.e. frequency splitting phenomenon.Hyperbaric environment application in, without bilateral communication in the case of, for ensure receiving terminal supervise online Enough power stability operations can be obtained by surveying device, be chosen with the frequency at the obvious transmitting terminal maximum transmission power for differentiating feature Rate point, is divided as the working frequency point of wireless power supply, and with regard to the electromagnetic field of the device under this working frequency dotted state Analysis.
By the corresponding working frequency f of device transmitting terminal current peak point0Angular frequency be denoted as ω0, calculate transmitting terminal and reception Hold electric current.Magnetic distribution during for ease of analysis twin coil, transmitting terminal and reception end-coil is placed in circular cylindrical coordinate, two lines Circle is arranged symmetrically along co-ordinate zero point, as shown in Figure 7.According to the installation requirement of the transmission line of electricity in practical engineering project, device The coil outer edge axial direction spacing of transmitting terminal and receiving terminal is 0.5m, i.e. 2a=500mm in figure.
According to the arrangement in Fig. 7, calculate transmitting coil z to r to magnetic induction intensity and receiving coil z to r to Magnetic induction intensity, and expression formula of the magnetic induction intensity on the time can be obtained by the relation of electromagnetic wave time-domain and frequency-domain.Further may be used Obtain transmitting coil and receiving coil works at the same time Frequency point f corresponding in device maximum transmission power0Magnetic vector potential under state.
According to the above analysis with a cycle T0(T0=1/f0) in 8 instantaneous values exemplified by, by transmitting coil and acceptance line Circle works at the same time Frequency point f corresponding in device maximum transmission power0The device induction and induced electric field at (436kHz) place Electric field strength instantaneous value distribution core into scheming and analyzed.
Step 5, the program that wireless power supply surrounding magnetic field calculates is designed, theoretical calculation is programmed with MATLAB and is completed. The programming flow of theoretical calculation.On the basis of above-mentioned theory analysis, completed when specifically calculating using MATLAB programmings, nothing The programming flow that line power supply unit surrounding magnetic field calculates is as shown in Figure 8:
Step 5.1, the material of coil, coiling radius, the number of turn, the parameters such as width and transmission range are set;
Step 5.2, frequency sweep analysis transmitting terminal electric current, determining device working frequency and corresponding current excitation, in cylindrical coordinates The solution scope in definite magnetic field down;
Step 5.3, according to the value range of z determine respectively the r of transmitting coil and receiving coil under the conditions of this to z to Magnetic induction intensity;
Step 5.4, in summary all conditions, by transmitting coil and receiving coil each r to z to magnetic induction intensity into Row superposition, and drafting pattern.
Step 6, the experiment porch of high-tension line on-line monitoring terminal wireless power supply unit is built by the parameter of example, to upper The accuracy and validity for stating Distribution of Magnetic Field computational methods are verified.
In experiment, using power input of the constant voltage dc source as device high-frequency radiator, input voltage DC 24V (power supply with high-voltage power transmission device exports), high-frequency radiator duty cycle is arranged to 50%.When wireless power supply is more steady When being operated in the corresponding Frequency point of transmitting terminal current peak surely 2 it is small when after start to measure work.
Transmission coil is axially vertical to be placed on wooden table (desk long 1.4m, wide 0.7m, height with ground level, horizontal center 1.2m), transmission coil is coaxially arranged, two coil edge spacing 0.5m.Constant voltage dc source, transmitting terminal control circuit, transmitting terminal Capacitance and receiving terminal capacitance, receiving terminal rectifier control device, electric energy output circuit arrangement are arranged in transmission coil both sides.
For ease of the situation of change of magnetic induction intensity and electric field strength at the diverse location around analysis transmission coil, establish Coordinate system, centered at transmission coil axial midpoint o points, establishes analysis grid.Calculated value is using in a frequency cycle Root-mean-square value, is compared easy to same measured value.In order to facilitate observation of, by the variation tendency of the calculated value of electric field strength and measured value Drafting pattern.
Based on above-mentioned theory computational methods, can to the magnetic resonance type radio energy transmission system of two loop construction of column type this Electromagnetic field around a kind of research object carries out solution analysis, lays a good foundation for follow-up Electromgnetic seat Journal of Sex Research.

Claims (5)

  1. A kind of 1. magnetic field analytical method of the magnetic resonance type wireless power technology in high-voltage electric power circuit monitoring, it is characterised in that: Method with reference to " distance reciprocal " tries to achieve the magnetic vector potential of any position around wireless power supply and combines Ansoft The simulation result of Maxwell finite element emulation softwares, analyzes the Distribution of Magnetic Field around device, has higher accuracy With faster solving speed;Simulation result includes the Magnetic Induction Density Distribution figure in simulation software, only transmitting terminal under resonant condition Magnetic Induction Density Distribution figure around actuating coil, and transmission coil are operated in the instantaneous Distribution value of magnetic induction intensity at Frequency point Figure.
  2. 2. the magnetic field analysis of the magnetic resonance type wireless power technology in a kind of high-voltage electric power circuit monitoring as claimed in claim 1 Method, it is characterised in that:Utilize " distance reciprocal " to combine Neumann addition theorems and Lipshitz integrations try to achieve transmitting terminal magnetic field Distribution calculate and carry out simulation calculation and analysis.
  3. 3. the magnetic field analysis of the magnetic resonance type wireless power technology in a kind of high-voltage electric power circuit monitoring as claimed in claim 2 Method, it is characterised in that:On the basis of utilizing " distance reciprocal " to obtain transmitting terminal Distribution of Magnetic Field, overall resultant magnetic field is carried out Calculate, including definite working frequency, calculate alternating current magnetic field, and design calculation procedure carrys out realization theory calculating.
  4. 4. the magnetic field analysis of the magnetic resonance type wireless power technology in a kind of high-voltage electric power circuit monitoring as claimed in claim 3 Method, it is characterised in that:Specifically include following steps;
    Step 1, design high-tension line on-line monitoring terminal wireless power supply unit overall architecture, build high-tension line on-line monitoring eventually End wireless power supply module designs a model;
    Step 2, based on loop construction be axial isometrical individual layer densely packed coil, establishes point that cylindrical-coordinate system carries out transmitting terminal magnetic field Cloth calculates;
    Step 3, in Ansoft Maxwell softwares, using identical parameter, contrast Ansoft Maxwell electromagnetic fields are limited Meta software, establishes 1:The simulation model of 1 size, and under identical current excitation, try to achieve wireless power supply surrounding magnetic field point Cloth;
    Step 4, the calculating of overall resultant magnetic field:Chosen during frequency of occurrences separating phenomenon with the obvious transmitting terminal for differentiating feature most Frequency point at big transmission power, as the working frequency point of wireless power supply, with regard to the device under this working frequency dotted state Electromagnetic field carry out the analysis of Ansoft Maxwell software emulations, and study the theoretical calculation formula of alternating current magnetic field, formula is as follows:
    Transmitting coil and receiving coil work at the same time Frequency point f corresponding in device maximum transmission power0Magnetic vector potential under state For:A=A1+A2
    Wherein, I(λ,μ,ν)(R, r, | u |) be corresponding to r to z to magnetic induction intensity expression formula Bezier Laplace's azimuth Formula;μ0For vacuum magnetic conductance, R is coil radius, r be in magnetic field the distance between any one source point and site, turn length be 2h, N are coil turn,For the unit vector in magnetic vector potential direction, I1、I2The electric current of respectively transmitting coil and receiving coil has Valid value, i.e. voltage effective value USWith the ratio of resistance;
    The program that step 5, design wireless power supply surrounding magnetic field and magnetic field induced electric field calculate, to the reason in step 2,3,4 Completed by calculating using MATLAB programmings;
    Step 6, the parameter by example, build the experiment porch of high-tension line on-line monitoring terminal wireless power supply unit, to above-mentioned The accuracy and validity of Distribution of Magnetic Field computational methods are verified.
  5. 5. the magnetic field analysis of the magnetic resonance type wireless power technology in a kind of high-voltage electric power circuit monitoring as claimed in claim 4 Method, it is characterised in that:
    Program in the step 5 comprises the following steps:
    Step 5.1, material, coiling radius, the number of turn, width and the transmission range parameter of coil are set;
    Step 5.2, frequency sweep analysis transmitting terminal electric current, determining device working frequency and corresponding current excitation, under cylindrical coordinates really The solution scope of fixed-field;
    Step 5.3, according to the value range of z determine respectively the r of transmitting coil and receiving coil under the conditions of this to z to magnetic strength Answer intensity;
    Step 5.4, in summary all conditions, by transmitting coil and receiving coil, each r is folded to z to magnetic induction intensity Add, and drafting pattern.
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CN111710025A (en) * 2020-04-27 2020-09-25 中国电力科学研究院有限公司 Method and system for determining electric field intensity of line on-line monitoring equipment
CN114103675A (en) * 2021-10-18 2022-03-01 广西电网有限责任公司电力科学研究院 Unmanned aerial vehicle and hangar two-way wireless charging system and method thereof
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* Cited by examiner, † Cited by third party
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CN109255174A (en) * 2018-08-31 2019-01-22 桂林电子科技大学 Magnet coupled resonant type wireless energy transmission coil simulating analysis
CN109255174B (en) * 2018-08-31 2022-07-22 桂林电子科技大学 Magnetic coupling resonant wireless energy transmission coil simulation analysis method
CN111710025A (en) * 2020-04-27 2020-09-25 中国电力科学研究院有限公司 Method and system for determining electric field intensity of line on-line monitoring equipment
CN114103675A (en) * 2021-10-18 2022-03-01 广西电网有限责任公司电力科学研究院 Unmanned aerial vehicle and hangar two-way wireless charging system and method thereof
CN116566076A (en) * 2023-04-26 2023-08-08 武汉大学 Method and device for enhancing magnetic field energy taking of wine glass tower of ultrahigh-voltage alternating-current transmission line
CN116566076B (en) * 2023-04-26 2024-02-06 武汉大学 Method and device for enhancing magnetic field energy taking of wine glass tower of ultrahigh-voltage alternating-current transmission line
CN116826988A (en) * 2023-06-21 2023-09-29 国网江苏省电力有限公司如东县供电分公司 Power supply method and device for high-voltage transmission line on-line monitoring equipment

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