CN103208866A - Method for designing wireless power transmission device - Google Patents

Method for designing wireless power transmission device Download PDF

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CN103208866A
CN103208866A CN2013101441789A CN201310144178A CN103208866A CN 103208866 A CN103208866 A CN 103208866A CN 2013101441789 A CN2013101441789 A CN 2013101441789A CN 201310144178 A CN201310144178 A CN 201310144178A CN 103208866 A CN103208866 A CN 103208866A
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coil
transmitting
wireless power
receiving
compensation
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CN103208866B (en
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廖承林
朱庆伟
王丽芳
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Institute of Electrical Engineering of CAS
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Institute of Electrical Engineering of CAS
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Abstract

The invention discloses a method for designing a wireless power transmission device. The method comprises the following steps of: A, winding and installing a transmitting coil, a transmitting end amplifying coil, a receiving end amplifying coil and a receiving coil of the wireless power transmission device according to the design requirements and the given conditions; B, measuring electric parameters of the transmitting coil, the transmitting end amplifying coil, the receiving end amplifying coil and the receiving coil; C, establishing a multi-coil coupled wireless power transmission device system circuit model based on a mutual inductance model by using the actually measured electric parameters of the coils; D, setting an optimization object function and constraint conditions, and establishing a nonlinear programming model; E, solving a nonlinear programming problem to obtain a resonance compensation capacitance value; and F, configuring a capacitor according to the calculated resonance compensation capacitance value.

Description

A kind of method for designing of wireless power transmitting device
Technical field
The present invention relates to a kind of method for designing of wireless power transmitting device, relate in particular to the method that a kind of combined circuit emulation and Nonlinear Programming Theory design a plurality of resonance compensation electric capacity of wireless power transmitting device.
Background technology
Wireless power transmission technology application prospect is vast, from 2007 Massachusetts Institute Technology (MIT) by magnetic coupling resonance wireless power transmission technology, since the 60W bulb of the 2.16m of being separated by lighted, this technology is more and more paid close attention to, many wireless power transmission plans based on this technology are suggested in succession, their common feature is: 4 coils respectively are connected to the compensation resonant capacitance, all the service behaviour influence to system is very big for 4 building-out capacitors, and two resonance coils often are operated in resonance point.
Yet, if take all factors into consideration the problem of withstand voltage of electric capacity under through-put power, efficient and the large-power occasions of wireless power transmitting device, often can not reach best effect according to resonance point configuration building-out capacitor.CN102946156A " a kind of wireless power transmitting device " proposes a kind of wireless power transmitting device for large-power occasions, but the allocation formula of each building-out capacitor when clearly not providing the wireless power transmitting device and reaching optimum Working.Other scheme is determined capacitor's capacity and design by a large amount of impedance matching tests and adjusting test often, 4 coil coupled resonance structures have been adopted as CN102197568A " non-contact power transmission device and method for designing thereof ", need be in very wide frequency range in the design process measure the input impedance Zin of resonator system at primary coil, obtain input impedance Zin and could determine design after with frequency variation curve.Obviously, the time-consuming manpower expense goods and materials that take of such method for designing more can't satisfy the design requirement that actual wireless power transmission device needs are taken all factors into consideration the many-sided factor of through-put power, efficiency of transmission and electric capacity problem of withstand voltage.
Summary of the invention
The technical problem to be solved in the present invention provides a kind of Optimization Design of wireless power transmitting device, test blindly repetition, poor efficiency with building-out capacitor match test and testing impedance in the solution current wireless power transmission device design process, and the big problem of workload, with shortening wireless power transmitting device design cycle, save design cost.
The wireless power transmitting device of using method for designing of the present invention comprises that high frequency electric source, load, transmitting coil, transmitting terminal amplify coil, receiving terminal amplifies coil, receiving coil, and transmitting coil resonance compensation electric capacity, transmitting terminal amplify the coil resonance building-out capacitor, receiving terminal amplifies coil resonance building-out capacitor, receiving coil resonance compensation electric capacity.
Described transmitting coil, transmitting terminal amplify coil, receiving terminal and amplify coil and receiving coil erection sequence---transmitting terminal amplifies coil---receiving terminal amplifies coil---receiving coil, or receiving coil---receiving terminal amplifies coil---transmitting terminal amplifies coil---transmitting coil that is transmitting coil successively; High frequency electric source sending and receiving ray circle, receiving coil connects load; Described transmitting coil, transmitting terminal amplify coil, receiving terminal amplifies coil and receiving coil is air core coil, can adopt circle or regular polygon shape; But coil coiling tubulose also can the coiled plate-like; Can adopt sub-thread enamelled wire, the coiling of multiply enamelled wire, the enamelled wire material can be copper, silver, silver-coated copper wire etc.
Described transmitting terminal amplification coil resonance building-out capacitor is connected with transmitting terminal amplification coils from parallel connection of coils, receiving terminal amplifies the coil resonance building-out capacitor and is connected with receiving terminal amplification coils from parallel connection of coils, to amplify magnetic field, the magnetic field degree of coupling between the raising coil; Transmitting coil resonance compensation electric capacity and transmitting coil can adopt series compensation or shunt compensation, receiving coil resonance compensation electric capacity and receiving coil also can adopt series compensation or shunt compensation, and the wireless power transmitting device has 4 kinds of compensation ways: transmitting coil series compensation receiving coil series compensation, transmitting coil series compensation receiving coil shunt compensation, transmitting coil shunt compensation and receiving coil series compensation, transmitting coil shunt compensation receiving coil shunt compensation.
The method for designing of wireless power transmitting device of the present invention comprises following steps:
Steps A, according to design requirement and specified criteria coiling and transmitting coil, transmitting terminal that the wireless power transmitting device is installed amplify coil, receiving terminal amplifies coil and receiving coil;
Step B, measure described transmitting coil, transmitting terminal and amplify the electric parameter that coil, receiving terminal amplify coil and receiving coil;
Step C, utilize the actual described transmitting coil that measures, transmitting terminal to amplify coil, receiving terminal amplifies coil and receiving coil electric parameter, sets up the multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model;
Step D, setting optimization aim function and constraints are set up Nonlinear programming Model;
Step e, find the solution nonlinear programming problem, obtain the resonance compensation capacitor's capacity;
Step F, by the resonance compensation capacitor's capacity that calculates configuration electric capacity.
Because electric capacity exchanges internal resistance (equivalent series resistance) value capacitive reactance ratio less and electric capacity and can ignore under high frequency
Figure BDA00003092780200021
Therefore the present invention carries out transmitting coil resonance compensation capacitor C 1 appearance value C at capacitor's capacity to the design of 4 building-out capacitors 1, transmitting terminal amplifies coil resonance building-out capacitor C2 appearance value C 2, receiving terminal amplifies coil resonance building-out capacitor C3 appearance value C 3, receiving coil resonance compensation capacitor C 4 appearance value C 4Be collectively referred to as resonance compensation electric capacity vector, be designated as C=[C 1, C 2, C 3, C 4] T
Design requirement in the described steps A is that the user is to every technical indicator of wireless power transmitting device, as physical size, weight, through-put power, transmission range, efficiency of transmission, operating frequency, the loading range of wireless power transmitting device, and the input and output requirement etc.
Specified criteria in the described steps A is divided into necessary condition and inessential condition.Described necessary condition is the necessary foundation of coiling, comprises the transmission range of physical dimension, structure and the wireless power transmitting device of coil; The operating frequency of other conditions such as wireless power transmitting device, the input mode of device are inessential condition.
The electric parameter of each coil among the described step B is included in transmitting coil self-induction L under the given operating frequency 1, transmitting terminal amplifies self-induction of loop L 2, receiving terminal amplifies self-induction of loop L 3, receiving coil self-induction L 4, transmitting coil and transmitting terminal amplify coil mutual inductance M 12, transmitting coil and receiving terminal amplify coil mutual inductance M 13, transmitting coil and receiving coil mutual inductance M 14, transmitting terminal amplifies coil and receiving terminal amplification coil mutual inductance M 23, transmitting terminal amplifies coil and receiving coil mutual inductance M 24, receiving terminal amplifies coil and receiving coil mutual inductance M 34, and transmitting coil internal resistance r 1, transmitting terminal amplifies coil internal resistance r 2, receiving terminal amplifies coil internal resistance r 3, receiving coil internal resistance r 4, be designated as coil coupling matrix M by following formula CoilAnd coil internal resistance vector R Coil:
M coil = L 1 M 12 M 13 M 14 M 12 L 2 M 23 M 24 M 13 M 23 L 3 M 24 M 14 M 24 M 34 L 4 , R coil=[r L1?r L2?r L3?r L4] T
Coupling matrix M CoilAnd internal resistance vector R CoilMeasure more accurately, adopt the more approaching result who obtains by model emulation optimization of actual wireless power transmission device of the present invention's design.
Among the described step C, can adopt the circuit simulation analysis tool of various support external calls or model emulation analysis tool to set up multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model.
The multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model among the described step C comprises the high-frequency ac power, coil, building-out capacitor and the load that constitute the complete wireless power transmitting device of a cover.Described high-frequency ac power can be used modelings such as ideal voltage source, current source, inverter according to actual conditions, and described load R is that the actual loading equivalence is to the real part of the equiva lent impedance of receiving coil end.
When the wireless power transmitting device adopts the compensation way of " transmitting coil series compensation receiving coil series compensation ", according to Circuit theory, set up the multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model among the described step C, the electric current and voltage that transmitting coil, transmitting terminal amplify coil, receiving terminal amplification coil, receiving coil satisfies following relational expression:
U = I 1 ( ( r Ls + r L 1 + r C 1 ) + jωLs + 1 jω C 1 + jωL 1 ) + I 2 jω M 12 + I 3 jω M 13 + I 4 jω M 14 0 = I 2 ( ( r L 2 + r C 2 ) + 1 jω C 2 + jω L 2 ) + I 1 jω M 12 + I 3 jω M 23 + I 4 jω M 24 0 = I 3 ( ( r L 3 + r C 3 ) + 1 jω C 3 + jω L 3 ) + I 1 jω M 13 + I 2 jω M 23 + I 4 jω M 34 0 = I 4 ( ( R + r L 4 + r C 4 ) + 1 jω C 4 + jω L 4 ) + I 1 jω M 14 + I 2 jω M 24 + I 3 jω M 34 In the formula, U is supply voltage, and ω is angular frequency, with the pass of operating frequency f be ω=2 π f, I 1, I 2, I 3, I 4Be respectively transmitting coil electric current, transmitting terminal amplification coil current, receiving terminal amplification coil current, receiving coil electric current, r C1, r C2, r C3, r C4Be respectively the internal resistance of transmitting coil building-out capacitor C1, the internal resistance that transmitting terminal amplifies coil building-out capacitor C2, the internal resistance of receiving terminal amplification coil building-out capacitor C3, the internal resistance of receiving coil building-out capacitor C4, be collectively referred to as resonance compensation electric capacity internal resistance vector R C=[r C1r C2r C3r C4] T, R is load.
Above equation group is the circuit relationships formula of the wireless power transmitting device coil of transmitting coil series compensation receiving coil series compensation, and the equation group that all the other 3 kinds of compensation way row are write is difference to some extent, no matter but which kind of form is equation group be, I after the solving equation group 1, I 2, I 3, I 4Can be write as output voltage U, coil coupling matrix M Coil, coil internal resistance vector R Coil, resonance compensation electric capacity vector C, resonance compensation electric capacity internal resistance vector R CFunction:
I 1=g 1(U,f,M coil,R coil,C,R C),I 2=g 2(U,f,M coil,R coil,C,R C)
I 3=g 3(U,f,M coil,R coil,C,R C),I 4=g 4(U,f,M coil,R coil,C,R C)
According to design experiences, the internal resistance of each resonance compensation electric capacity is compared much smaller with the internal resistance of the coil that is attached thereto, and therefore following approximate processing is done in internal resistance to electric capacity: R C = r C 1 r C 2 r C 3 r C 4 T ≈ 1 κ r L 1 r L 2 r L 3 r L 4 T = 1 κ R coil , κ=3~15 are relevant with the quality factor q of selected electric capacity, and quality is more good, and the κ value is more big.
So, output voltage U o, system effectiveness η, be concerned about the voltage U of electric capacity CBut be shown as U, f, M Deng also respective table Coil, R Coil, the function of C as given supply voltage U, operating frequency f, load R, records the coupling matrix M of coil CoilAnd internal resistance vector R CoilAfter, U o, η, U COnly relevant with 4 building-out capacitors, as shown in the formula:
U o=I 4R=g 4(U,f,M coil,R coil,C,R C)R=G(U,f,L coil,C,R coil)=G(C)
η = P o P i = P o P o + Σ P r = I 4 2 R I 4 2 R + I 1 2 ( r Ls + r L 1 + r C 1 ) + I 2 2 ( r L 2 + r C 2 ) + I 3 2 ( r L 3 + r C 3 ) + I 4 2 ( r L 4 + r C 4 )
= H ( U , f , L coil , C , R coil ) = H ( C )
U C = I C jωC = M ( U , f , L coil , C , R coil ) = M ( C )
So, the wireless power transmitting device circuit system model of setting up described in the step C can regard to optimize the collection of functions Fun that object-4 building-out capacitor is independent variable as, and Fun is 4 dimension space R 4A subclass Fun = { I 1 , I 2 , I 3 , I 4 , U o , P o , η , U C · · · } ⊆ R 4 .
When each external call model emulation instrument carries out emulation to the circuit system of wireless power transmitting device described in step C model, import one group of certain capacitance [C 1k, C 2k, C 3k, C 4k] T, set enough little simulation step length, solve the numerical solution of above-mentioned equation group fast by emulation tool
Figure BDA00003092780200045
Can infinitely approach analytic solutions Fun|C k, avoided because model order is high and the non-linear analytic solutions form that causes is too complicated even non-existent problem.
Set up the multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model among the described step C, call circuit simulation tools to above-mentioned model emulation after, the element of selecting the user to be concerned about from the collection of functions Fun that obtains turns back to top layer software and is further analyzed calculating.
Optimization aim function among the described step D is the every electric index of wireless power transmitting device design requirement appointment, as power output of greatest concern, efficient etc., or other indexs.
Constraints among the described step D mainly contains two aspects, the one, effects limit such as device volume the connection in series-parallel number of building-out capacitor, building-out capacitor reality can design the appearance value a upper limit Cmax and lower limit Cmin; The 2nd, capacitance voltage can not surpass the electric capacity nominal withstand voltage.
Nonlinear programming Model among the described step D is the target function minimum model minf of standard, and other non-optimal design demands that minimize form should convert the form of minimizing to for conversion by the people.
Further, for maximum efficiency η design requirement, adopt the formal description of minf (C)=(1-η); For given rated output power P eDesigning requirement, employing minf (C)=| P o-P e| formal description.
Optimization aim function among the described step D is not limited to a design requirement, can introduce weight vectors ω=[ω 1, ω 2, ω 3..., ω k], optimize multinomial design requirement: f simultaneously 1(C), f 2(C), f 3(C) ... f k(C), the Nonlinear programming Model of this kind situation is:
minf(C)=ω 1f 1(C)+ω 2f 2(C)+ω 3f 3(C)+…ω kf k(C)
s . t . C = C 1 C 2 C 3 C 4 T ≥ C min C = C 1 C 2 C 3 C 4 T ≤ C max ω 1 + ω 2 + ω 3 + · · · + ω k = 1
In the described step e, find the solution nonlinear programming problem and can adopt various Non-Linear Programming derivation algorithms commonly used, as simple method, steepest descent method, Newton method etc.
In the described step e, the flow process of finding the solution nonlinear programming problem is:
The initial value of substitution building-out capacitor vector at first, call circuit simulation tools then building wireless power transmission system model is carried out emulation, solve the numerical solution of the element that the user is concerned about among the collection of functions Fun, replace analytic solutions to return, calculate target function value in this iterative process by the collection of functions Fun simulation result that returns then, then judge whether to satisfy the condition of convergence, if do not satisfy the condition of convergence, then calculate the new value C of building-out capacitor C vector according to the optimization mathematical theory k, call bottom circuit simulation tools emulation wireless power transmission system model again; If judge and to have satisfied the condition of convergence, finishing iteration then is compensated the optimized parameter of electric capacity.
When reality is by series-parallel system configuration electric capacity under the designing requirement restriction, the appearance value can not strictly be regulated continuously, the principle of the capacitance arrangement in the described step F is: should manage to configure and find the solution the beutiful face value that Non-Linear Programming draws near step e, deviation is no more than 5 ‰.
The present invention has the following advantages and beneficial effect:
1, can avoid the blindly artificial exploratory electric capacity match test of poor efficiency, reduce the manpower and materials consumption in the wireless power transmitting device design process, save the goods and materials cost of design work;
2, shorten the design cycle of wireless power transmitting device greatly, saved the time cost of design work;
3, design accuracy height can satisfy design requirement.
Description of drawings
The flow chart of this Optimization Design of Fig. 1;
Fig. 2 for the present invention at wireless power transmitting device structural representation;
4 kinds of topological schematic diagrames of compensation of the 4 loop construction wireless power transmitting devices that Fig. 3 the present invention is suitable for;
Wherein:
Fig. 3 a transmitting coil series compensation receiving coil series compensation SS4 compensates topological schematic diagram;
Fig. 3 b transmitting coil series compensation receiving coil shunt compensation SP4 compensates topological schematic diagram;
Fig. 3 c transmitting coil shunt compensation receiving coil series compensation PS4 compensates topological schematic diagram;
Fig. 3 d transmitting coil shunt compensation receiving coil shunt compensation PP4 compensates topological schematic diagram;
Fig. 4 calls the flow chart that circuit simulation tools is found the solution nonlinear programming problem;
Fig. 5 the present invention is optimized the actual effect of design to SS4 structure wireless electric device.
Embodiment
The present invention will be further described below in conjunction with the drawings and specific embodiments.
The structure of the wireless power transmitting device of application method for designing of the present invention as shown in Figure 2, comprise that high frequency electric source 2100, load 2400, transmitting coil 2210, transmitting terminal amplify coil 2211, receiving terminal amplifies coil 2311, receiving coil 2310, and transmitting coil resonance compensation electric capacity 2220, transmitting terminal amplification coil resonance building-out capacitor 2221, receiving terminal amplification coil resonance building-out capacitor 2321 and receiving coil resonance compensation electric capacity 2320.Transmitting coil and transmitting terminal amplify coil and constitute transmitting terminal 2200; Receiving terminal amplifies coil and receiving coil constitutes receiving terminal 2300.
The transmitting terminal of wireless power transmitting device amplifies coil 2211 and is connected in parallel with transmitting terminal amplification coil resonance building-out capacitor 2221, receiving terminal amplifies coil 2311 and is connected in parallel with receiving terminal amplification coil resonance building-out capacitor 2321, transmitting coil 2210 and receiving coil 2310 adopt series compensation or shunt compensation, the wireless power transmitting device has 4 kinds of compensation ways: transmitting coil series compensation receiving coil series compensation SS4, transmitting coil series compensation receiving coil shunt compensation SP4, transmitting coil shunt compensation and receiving coil series compensation PS4, transmitting coil shunt compensation receiving coil shunt compensation PP4, as shown in Figure 3.
Below further specify the present invention with regard to embodiments of the invention.
The basic design requirement of embodiment is: the transmission range D of wireless power transmitting device, efficient more than 85%, load is Rl, it is P that input voltage requires power output during for U Obj
As a kind of embodiment, given coil mounting structure is: transmitting coil 2210, transmitting terminal amplification coil 2211, receiving terminal amplify coil 2311, receiving coil 2310 directly is the enamelled wire coiled solenoid coil of d by line, the radius of four solenoid coils is R, the number of turn is respectively N1, N2, N3, N4, and turn-to-turn is apart from being respectively p1, p2, p3, p4.Transmitting coil 2210, transmitting terminal amplification coil 2211, receiving terminal amplify coil 2311, receiving coil 2310 parallel coaxial stack.The distance that transmitting coil 2210 and transmitting terminal amplify between the coil 2211 is L1, and the distance that receiving coil 2310 and receiving terminal amplify between the coil 2311 is L2, and the distance that transmitting terminal amplifies between coil 2211 and the receiving terminal amplification coil 2311 is transmission range D.Given capacitance compensation mode is the transmitting terminal series compensation receiving terminal series compensation SS4 mode shown in Fig. 3 a.
Steps A, according to design requirement and specified criteria coiling and the transmitting coil, transmitting terminal that install the wireless power transmitting device amplify coil, receiving terminal amplifies coil and receiving coil;
Step B, the transmitting coil of measuring institute's coiling, transmitting terminal amplify the coupling matrix M of coil, receiving terminal amplification coil and receiving coil CoilAnd internal resistance vector R Coil
Step C, set up multi-thread circle coupling wireless power transmitting device circuit system model mdl based on the mutual inductance model with SIMULINK, with the survey coupling matrix M of institute Coil, internal resistance vector R CoilInductance Matrix parameter and the Resistance Matrix parameter of substitution SIMULINK mutual inductance model are made as Rl with the load resistance value respectively, set supply voltage U, frequency f; In model, use Active_Reactive Power and Subtract module to calculate the power output P of the wireless power transmitting device of emulation oAnd efficiency eta, as the output variable of model.
Step D, setting optimization aim function and constraints are set up Nonlinear programming Model;
According to demand, be P when input voltage requires power output during for U Obj, being subjected to the maximum string of size restrictions electric capacity and number is n, can obtain single electric capacity nominal of satisfactory maximum appearance value is C M1, minimum single electric capacity nominal appearance value is C M2, can determine that capacitor's capacity is limited to C up and down Max=nC M1,
Figure BDA00003092780200071
Optimization aim should be pursued efficient and satisfy power again, thereby introduces weight vectors ω=[ω 11-ω 1], with power target normalization, set up following Nonlinear programming Model:
min?f(C)=ω 1(1-η)+(1-ω 1)|1-P o/P obj|
s . t . C = C 1 C 2 C 3 C 4 T > C m 2 / n C = C 1 C 2 C 3 C 4 T ≤ nC m 1
Step e, select numerical analysis tools MATLAB and model emulation instrument SIMULINK for use, find the solution nonlinear programming problem according to the flow process of finding the solution shown in Figure 4, can be divided into two steps:
(1) writes M function f unname.m
Building-out capacitor vector initial value C=[C is set 10C 20C 30C 40] T(400), by sim command calls SIMULINK (401), the foregoing circuit model of SIMULINK mdl carries out emulation (4021), and emulation is returned power output P after finishing oAnd efficiency eta (4022), calculating target function f (C) (403) is with the return value of f (C) as M function f unname.
(2) call optimization function at working space and find the solution above-mentioned Nonlinear programming Model
With writing M function f unname as the MATLAB optimization function ' FUN ' parameter calls optimization function fminsearch at working space, fminsearch can judge whether convergence (404) automatically after calculating target function value (403), and the calculating building-out capacitor new value of vector (405), iteration through fintie number of steps obtains resonance compensation capacitor's capacity [C Op1C Op2C Op3C Op4] T(406);
Step F, press gained [C Op1C Op2C Op3C Op4] TIn being no more than 5 ‰ scopes, deviation by 4 building-out capacitors of connection in series-parallel configuration of capacitor, finishes the design of wireless power transmitting device.The actual effect that under different frequency, adopts the present invention that above-mentioned SS4 structure wireless electric device is designed shown in Figure 5.
Described embodiment only is a kind of exemplary applications of the present invention, 4 given coils, and line footpath, diameter can not wait, and shape is not limited to circular individual layer solenoid, also can also be square, polygon, sandwich construction, or disccoil etc.; The compensation way of 4 building-out capacitors can be selected among SS4, SP4, PS4, the PP4 any one as required.When adopting the present invention to be optimized design, can both obtain good effect.

Claims (9)

1. the method for designing of a wireless power transmitting device, described wireless power transmitting device comprises that high frequency electric source (2100), load (2400), transmitting coil (2210), transmitting terminal amplify coil (2211), receiving terminal amplifies coil (2311), receiving coil (2310), and transmitting coil resonance compensation electric capacity (2220), transmitting terminal amplify coil resonance building-out capacitor (2221), receiving terminal amplifies coil resonance building-out capacitor (2321), receiving coil resonance compensation electric capacity (2320); Described transmitting terminal amplifies coil (2211) and is connected in parallel with transmitting terminal amplification coil resonance building-out capacitor (2221), and receiving terminal amplification coil (2311) amplifies coil resonance building-out capacitor (2321) with receiving terminal and is connected in parallel; Transmitting coil (2210) and receiving coil (2310) adopt series compensation or shunt compensation, that is: transmitting coil series compensation receiving coil series compensation, transmitting coil series compensation receiving coil shunt compensation, transmitting coil shunt compensation and receiving coil series compensation, transmitting coil shunt compensation receiving coil shunt compensation is characterized in that described method for designing comprises following steps:
Steps A, according to design requirement and specified criteria coiling and transmitting coil (2210), transmitting terminal that the wireless power transmitting device is installed amplify coil (2211), receiving terminal amplifies coil (2311) and receiving coil (2310);
Step B, measure described transmitting coil (2210), transmitting terminal and amplify the electric parameter that coil (2211), receiving terminal amplify coil (2311) and receiving coil (2310);
Step C, utilize actual each coil electric parameter that measures to set up multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model;
Step D, setting optimization aim function and constraints are set up Nonlinear programming Model;
Step e, find the solution nonlinear programming problem, obtain the resonance compensation capacitor's capacity;
Step F, by the resonance compensation capacitor's capacity that calculates configuration electric capacity.
2. according to the method for designing of the described wireless power transmitting device of claim 1, it is characterized in that described method for designing is that design transmitting coil resonance compensation electric capacity (C1), transmitting terminal amplify coil resonance building-out capacitor (C2), receiving terminal amplifies coil resonance building-out capacitor (C3), and the capacitor's capacity of receiving coil resonance compensation electric capacity (C4).
3. according to the method for designing of the described wireless power transmitting device of claim 1, it is characterized in that the specified criteria in the described steps A is divided into necessary condition and inessential condition; Described necessary condition is the necessary foundation of coiling, comprises coil geometries, winding structure and transmission range; Operating frequency, input mode and compensation way that described inessential condition is the wireless power transmitting device.
4. according to the method for designing of the described wireless power transmitting device of claim 1, it is characterized in that the electric parameter of each coil among the described step B is included in transmitting coil self-induction L under the given operating frequency 1, transmitting terminal amplifies self-induction of loop L 2, receiving terminal amplifies self-induction of loop L 3, receiving coil self-induction L 4, transmitting coil and transmitting terminal amplify coil mutual inductance M 12, transmitting coil and receiving terminal amplify coil mutual inductance M 13, transmitting coil and receiving coil mutual inductance M 14, transmitting terminal amplifies coil and receiving terminal amplification coil mutual inductance M 23, transmitting terminal amplifies coil and receiving coil mutual inductance M 24, receiving terminal amplifies coil and receiving coil mutual inductance M 34, and transmitting coil internal resistance r 1, transmitting terminal amplifies coil internal resistance r 2, receiving terminal amplifies coil internal resistance r 3, receiving coil internal resistance r 4, be designated as coil coupling matrix M CoilAnd coil internal resistance vector R Coil:
M coil = L 1 M 12 M 13 M 14 M 12 L 2 M 23 M 24 M 13 M 23 L 3 M 24 M 14 M 24 M 34 L 4 , R coil=[r L1?r L2?r L3?r L4] T
5. according to the method for designing of the described wireless power transmitting device of claim 1, it is characterized in that the multi-thread circle coupling wireless power transmitting device circuit system model based on the mutual inductance model that described step C sets up, comprise the high-frequency ac power, coil, building-out capacitor and the load that constitute the complete wireless power transmitting device of a cover, described high-frequency ac power is selected ideal voltage source or ideal current source or inverter modeling for use, and described load is that the actual loading equivalence is to the real part of the equiva lent impedance of receiving coil (2311) end.
6. according to the method for designing of claim 1 or 5 described wireless power transmitting devices, it is characterized in that in the described wireless power transmitting device of the step C circuit system model transmitting coil electric current I 1, transmitting terminal amplifies coil current I 2, receiving terminal amplifies coil current I 3Electric current I with receiving coil 4Be output voltage U, coil coupling matrix M Coil, coil internal resistance vector R Coil, resonance compensation electric capacity vector C, resonance compensation electric capacity internal resistance vector R CFunction: I 1 = g 1 ( U , f , M coil , R coil , C , R C ) , I 2 = g 2 ( U , f , M coil , R coil , C , R C ) I 3 = g 3 ( U , f , M coil , R coil , C , R C ) , I 4 = g 4 ( U , f , M coil , R coil , C , R C ) , As given supply voltage U, operating frequency f, record the coupling matrix M of coil CoilAnd internal resistance vector R CoilAfter, the collection of functions that described wireless power transmitting device circuit system model equivalence is is independent variable with 4 building-out capacitors Fun is 4 dimension space R 4A subclass Fun, the element of from collection of functions Fun, selecting the user to be concerned about: output voltage U o, unit efficiency η, power output P o, capacitance voltage U C, be used for the calculating of described step e target function f (C) (403).
7. according to the method for designing of the described wireless power transmitting device of claim 1, it is characterized in that the optimization aim function among the described step D passes through to introduce weight vectors ω=[ω 1, ω 2, ω 3..., ω k], solve and contain multinomial design requirement f simultaneously 1(C), f 2(C), f 3(C) ... f k(C) problem, the Nonlinear programming Model of this kind situation is:
minf(C)=ω 1f 1(C)+ω 2f 2(C)+ω 3f 3(C)+…ω kf k(C)
s . t . C = C 1 C 2 C 3 C 4 T ≥ C min C = C 1 C 2 C 3 C 4 T ≤ C max ω 1 + ω 2 + ω 3 + · · · + ω k = 1 .
8. according to the method for designing of the described wireless power transmitting device of claim 1, it is characterized in that in the described step e, the flow process of finding the solution nonlinear programming problem is: the initial value of substitution building-out capacitor vector at first, call circuit simulation tools then building wireless power transmission system model is carried out emulation, solve the numerical solution of the element that the user is concerned about among the collection of functions Fun, replace analytic solutions to return, calculate target function value in this iterative process by the collection of functions Fun simulation result that returns then, then judge whether to satisfy the condition of convergence, if do not satisfy the condition of convergence, then calculate the new value C of building-out capacitor C vector according to the optimization mathematical theory k, call bottom circuit simulation tools emulation wireless power transmission system model again; If judge and to have satisfied the condition of convergence, finishing iteration then is compensated the optimized parameter of electric capacity.
9. according to the method for designing of the described wireless power transmitting device of claim 1, the principle that it is characterized in that the capacitance arrangement in the described step F is to manage to dispose to find the solution the beutiful face value that Non-Linear Programming draws near step e, and deviation is no more than 5 ‰.
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