CN103208866B - A kind of method for designing of Contactless power transmission device - Google Patents

Abstract

A method for designing for Contactless power transmission device, comprises the following steps: steps A, according to design requirement and specified criteria coiling and the transmitting coil of Contactless power transmission device is installed, transmitting terminal amplifies coil, receiving terminal amplifies coil and receiving coil; Step B, measurement transmitting coil, the electric parameter that transmitting terminal amplifies coil, receiving terminal amplifies coil and receiving coil; Step C, utilize the actual electric parameter measuring each coil, set up the multi-coil coupling Contactless power transmission device circuit system model based on mutual inductance coupling model; Step D, setting optimization object function and constraints, set up Nonlinear programming Model; Step e, solve nonlinear programming problem, obtain resonance compensation capacitor's capacity; Step F, by calculate resonance compensation capacitor's capacity configuration electric capacity.

Description

A kind of method for designing of Contactless power transmission device

Technical field

The present invention relates to a kind of method for designing of Contactless power transmission device, particularly relate to the method that the emulation of a kind of combined circuit designs the multiple resonance compensation electric capacity of Contactless power transmission device with Nonlinear Programming Theory.

Background technology

Wireless power transmission technology application prospect is vast, from 2007 Massachusetts Institute Technology (MIT) by magnetic coupling resonant radio power transmission technology, since 2.16m of being separated by 60W bulb is lighted, this technology is more and more concerned, many wireless power transmission schemes based on this technology are suggested in succession, their common feature is: 4 coils are respectively connected to compensation resonant capacitance, 4 building-out capacitors are all very large on the service behaviour impact of system, and two resonance coils are often operated in resonance point.

But, if the problem of withstand voltage of electric capacity under considering the through-put power of Contactless power transmission device, efficiency and large-power occasions, best effect often can not be reached according to resonance point configuration building-out capacitor.CN 102946156A " a kind of Contactless power transmission device " proposes a kind of Contactless power transmission device for large-power occasions, but does not clearly provide the allocation formula of each building-out capacitor when Contactless power transmission device reaches optimum Working.Other scheme determines capacitor's capacity and design often by a large amount of impedance matchings test and adjustment test, as CN 102197568A " non-contact power transmission device and method for designing thereof " have employed 4 coil coupling resonant structures, need the input impedance Zin measuring resonator system in very wide frequency range at primary coil in design process, obtain input impedance Zin and could determine design with after frequency variation curve.Obviously, such method for designing is time-consuming takes manpower expense goods and materials, more cannot meet the design requirement that actual wireless power transmission device needs consider through-put power, efficiency of transmission and electric capacity problem of withstand voltage many factors.

Summary of the invention

The technical problem to be solved in the present invention is to provide a kind of Optimization Design of Contactless power transmission device, to solve, building-out capacitor match test and testing impedance test in current wireless power transmission device design process blindly repeat, poor efficiency, and the problem that workload is large, to shorten the Contactless power transmission device design cycle, to save design cost.

The Contactless power transmission device applying method for designing of the present invention comprises high frequency electric source, load, transmitting coil, transmitting terminal amplification coil, receiving terminal amplification coil, receiving coil, and transmitting coil resonance compensation electric capacity, transmitting terminal amplification coil resonance building-out capacitor, receiving terminal amplification coil resonance building-out capacitor, receiving coil resonance compensation electric capacity.

Described transmitting coil, transmitting terminal amplify coil, receiving terminal amplifies 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 connects transmitting coil, and 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; Coil also can be coiled into plate-like by coiling tubulose; Can adopt sub-thread enamelled wire, the coiling of multiply enamelled wire, enamelled wire material can be copper, silver, silver-coated copper wire etc.

Described transmitting terminal amplifies that coil resonance building-out capacitor and transmitting terminal amplify that coils from parallel connection of coils is connected, receiving terminal amplifies coil resonance building-out capacitor and amplifies coils from parallel connection of coils with receiving terminal and be connected, to amplify magnetic field, and the magnetic Field Coupling degree between 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 Contactless power transmission 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 Contactless power transmission device of the present invention adopts Non-Linear Programming to carry out the optimal design of 4 resonance compensation electric capacity simultaneously, set up Nonlinear programming Model and Contactless power transmission device circuit model, in the process of iterative Nonlinear programming Model, call circuit simulation tools simulation optimization is carried out to Contactless power transmission device model, emulation being obtained numerical solution replaces the analytic solutions of circuit model as the foundation calculating Nonlinear programming Model target function, iterative computation goes out the capacitance of 4 resonance compensation electric capacity, specifically comprises following steps:

Steps A, according to design requirement and specified criteria coiling and the transmitting coil of Contactless power transmission device is installed, transmitting terminal amplifies coil, receiving terminal amplifies coil and receiving coil;

Step B, the transmitting coil described in measurement, the electric parameter that transmitting terminal amplifies coil, receiving terminal amplifies coil and receiving coil;

Step C, utilize transmitting coil described in actual measuring, transmitting terminal to amplify coil, receiving terminal amplifies coil and receiving coil electric parameter, sets up the multi-coil coupling Contactless power transmission device circuit system model based on mutual inductance coupling model;

Step D, setting optimization object function and constraints, set up Nonlinear programming Model;

Step e, solve nonlinear programming problem, obtain resonance compensation capacitor's capacity;

Step F, by calculate resonance compensation capacitor's capacity configuration electric capacity.

Due to electric capacity, AC internal Resistance (equivalent series resistance) value is less in high frequency, and the capacitive reactance ratio of electric capacity can be ignored therefore the present invention carries out for capacitor's capacity the design of 4 building-out capacitors, transmitting coil resonance compensation electric capacity C1 capacitance C ₁, transmitting terminal amplifies coil resonance building-out capacitor C2 capacitance C ₂, receiving terminal amplifies coil resonance building-out capacitor C3 capacitance C ₃, receiving coil resonance compensation electric capacity C4 capacitance 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 described steps A is all technical of user to Contactless power transmission device, as physical size, weight, through-put power, transmission range, efficiency of transmission, operating frequency, the loading range of Contactless power transmission device, and input and output requirement etc.

Specified criteria in 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 the physical dimension of coil, structure and Contactless power transmission device; Other conditions such as the operating frequency of Contactless power transmission device, the input mode of device are inessential condition.

The electric parameter of each coil in described step B, is included in transmitting coil self-induction L under 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 and amplifies 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 _l1, transmitting terminal amplifies Coil resistance r _l2, receiving terminal amplifies Coil resistance r _l3, receiving coil internal resistance r _l4, be designated as coil coupling matrix M by following formula _coiland Coil resistance vector R _coil:

$M_{\mathrm{coil}}=\left(\begin{array}{cccc}{L}_1& M_{12}& M_{13}& M_{14}\\ M_{12}& L_2& M_{23}& M_{24}\\ M_{13}& M_{23}& L_3& M_{24}\\ M_{14}& M_{24}& M_{34}& L_4\end{array}\right),$ R _coil＝[r _L1r _L2r _L3r _L4] ^T

Coupling matrix M _coiland internal resistance vector R _coilmeasure more accurate, adopt the more close result obtained by model emulation optimization of actual wireless power transmission device of the present invention's design.

In described step C, the circuit simulation analysis tool of various support external call or model emulation analysis tool can be adopted to set up multi-coil coupling Contactless power transmission device circuit system model based on mutual inductance coupling model.

The coupling of the multi-coil based on mutual inductance coupling model Contactless power transmission device circuit system model in described step C, comprises the high-frequency ac power of formation complete set Contactless power transmission device, coil, building-out capacitor and load.Described high-frequency ac power can use the modelings such as ideal voltage source, current source, inverter according to actual conditions, and described load R is the real part of actual loading equivalence to the equiva lent impedance of receiving coil end.

When Contactless power transmission device adopts the compensation way of " transmitting coil series compensation receiving coil series compensation ", according to Circuit theory, set up the multi-coil coupling Contactless power transmission device circuit system model based on mutual inductance coupling model in described step C, transmitting coil, transmitting terminal amplify coil, receiving terminal amplifies coil, the electric current and voltage of receiving coil meets following relational expression:

$\left\{\begin{array}{c}U=I_1((r_{\mathrm{Ls}}+r_{L1}+r_{C1})+\mathrm{j\ωLs}+\frac{1}{\mathrm{j\ω}{C}_1}+\mathrm{j\ω}{L}_1)+I_2\mathrm{j\ω}{M}_{12}+I_3\mathrm{j\ω}{M}_{13}+I_4\mathrm{j\ω}{M}_{14}\\ 0=I_2((r_{L2}+r_{C2})+\frac{1}{\mathrm{j\ω}{C}_2}+\mathrm{j\ω}{L}_2)+I_1\mathrm{j\ω}{M}_{12}+I_3\mathrm{j\ω}{M}_{23}+I_4\mathrm{j\ω}{M}_{24}\\ 0=I_3((r_{L3}+r_{C3})+\frac{1}{\mathrm{j\ω}{C}_3}+\mathrm{j\ω}{L}_3)+I_1\mathrm{j\ω}{M}_{13}+I_2\mathrm{j\ω}{M}_{23}+I_4\mathrm{j\ω}{M}_{34}\\ 0=I_4((R+r_{L4}+r_{C4})+\frac{1}{\mathrm{j\ω}{C}_4}+\mathrm{j\ω}{L}_4)+I_1\mathrm{j\ω}{M}_{14}+I_2\mathrm{j\ω}{M}_{24}+I_3\mathrm{j\ω}{M}_{34}\end{array}\right.$ In formula, U is supply voltage, and ω is angular frequency, is ω=2 π f, I with the pass of operating frequency f ₁, I ₂, I ₃, I ₄be respectively transmitting coil electric current, transmitting terminal amplifies coil current, receiving terminal amplifies 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 of transmitting terminal amplification Coil Compensation electric capacity C2, the internal resistance of receiving terminal amplification Coil Compensation electric capacity 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 Contactless power transmission device coil of transmitting coil series compensation receiving coil series compensation, and all the other 3 kinds of compensation ways arrange the equation group difference to some extent write, but no matter which kind of form is equation group be, I after solving equation group ₁, I ₂, I ₃, I ₄can be write as output voltage U, coil coupling matrix M _coil, Coil resistance vector R _coil, resonance compensation electric capacity vector C, the internal resistance of resonance compensation electric capacity 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 be attached thereto, and therefore does following approximate processing to electric capacity internal resistance: $R_C={\left[\begin{array}{cccc}{r}_{C1}& r_{C2}& r_{C3}& r_{C4}\end{array}\right]}^T\≈\frac{1}{\mathrm{\κ}}{\left[\begin{array}{cccc}{r}_{L1}& r_{L2}& r_{L3}& r_{L4}\end{array}\right]}^T=\frac{1}{\mathrm{\κ}}{R}_{\mathrm{coil}},$ κ=3 ~ 15 are relevant with the quality factor q of selected electric capacity, and quality is better, and κ value is larger.

So, output voltage U _o, system effectiveness η, be concerned about the voltage U of electric capacity _crespective table U can be shown as, f, M Deng also _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)

$\begin{array}{c}\mathrm{\η}=\frac{P_o}{P_i}=\frac{P_o}{P_o+\mathrm{\Σ}{P}_r}=\frac{I_4^{2}R}{I_4^{2}R+I_1^2(r_{\mathrm{Ls}}+r_{L1}+r_{C1})+I_2^2(r_{L2}+r_{C2})+I_3^2(r_{L3}+r_{C3})+I_4^2(r_{L4}+r_{C4})}\\ =H(U,f,L_{\mathrm{coil}},C,R_{\mathrm{coil}})=H\left(C\right)\end{array}$

$U_C=\frac{I_C}{\mathrm{j\ωC}}=M(U,f,L_{\mathrm{coil}},C,R_{\mathrm{coil}})=M\left(C\right)$

So, the Contactless power transmission device circuit system model set up described in step C can regard with optimization object-4 building-out capacitor to be the collection of functions Fun of independent variable as, and Fun is 4 dimension space R ⁴a subset $\mathrm{Fun}=\{I_1,I_2,I_3,I_4,U_o,P_o,\mathrm{\η}{,U}_C...\}\⊆R^4.$

When each external call model emulation instrument emulates the circuit system of Contactless power transmission device described in step C model, input one group of specific capacitance [C _1k, C _2k, C _3k, C _4k] ^t, set enough little simulation step length, solved the numerical solution of above-mentioned equation group by emulation tool fast infinitely can approach analytic solutions avoid due to the high and non-linear analytic solutions form caused the too complexity not even Problems existing of model order.

The multi-coil coupling Contactless power transmission device circuit system model based on mutual inductance coupling model is set up in described step C, call circuit simulation tools to above-mentioned model emulation after, the element selecting user to be concerned about from the collection of functions Fun obtained turns back to top layer software and is further analyzed calculating.

Optimization object function in described step D is every electrical specifications that Contactless power transmission device design requirement is specified, as power output of greatest concern, efficiency etc., or other indexs.

Constraints in described step D mainly contains two aspects, and one is the connection in series-parallel number that the factors such as device volume limit building-out capacitor, and building-out capacitor reality can design capacitance a upper limit Cmax and lower limit Cmin; Two is that capacitance voltage can not exceed electric capacity nominal withstand voltage.

Nonlinear programming Model in described step D is the minimization of object function model min f of standard, the optimal design demand of other non-minimum forms, should convert the form of minimizing to by artificial conversion.

Further, for maximum efficiency η design requirement, adopt the formal description of min f (C)=(1-η); For given rated output power P _edesigning requirement, employing min f (C)=| P _o-P _e| formal description.

Optimization object function in 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 of situation is:

min f(C)＝ω ₁f ₁(C)+ω ₂f ₂(C)+ω ₃f ₃(C)+…ω _kf _k(C)

$s.t.\left\{\begin{array}{c}C={\left[\begin{array}{cccc}{C}_1& C_2& C_3& C_4\end{array}\right]}^T\≥C_{\min }\\ C={\left[\begin{array}{cccc}{C}_1& C_2& C_3& C_4\end{array}\right]}^T\≤C_{\max }\\ {\mathrm{\ω}}_1+{\mathrm{\ω}}_2+{\mathrm{\ω}}_3+...+{\mathrm{\ω}}_k=1\end{array}\right.$

In described step e, solve nonlinear programming problem and can adopt various conventional nonlinear planning solution algorithm, as simple method, steepest descent method, Newton method etc.

In described step e, the flow process solving nonlinear programming problem is:

First the initial value of building-out capacitor vector is substituted into, then call circuit simulation tools to emulate built Wireless power transmission system model, solve the numerical solution of the element that user is concerned about in collection of functions Fun, analytic solutions are replaced to return, then the collection of functions Fun simulation result by returning calculates the target function value in this iterative process, then judge whether to meet the condition of convergence, if do not meet the condition of convergence, then calculate building-out capacitor C vector according to optimization mathematical theory and be newly worth C _k, re invocation bottom circuit simulation tools emulation Wireless power transmission system model; Meet the condition of convergence, then finishing iteration if judge, be compensated the optimized parameter of electric capacity.

When under designing requirement restriction, reality is by series-parallel system configuration electric capacity, capacitance can not strictly regulate continuously, the principle of the capacitance arrangement in described step F is: should manage to configure solving closest to step e the optimum capacitance that Non-Linear Programming draws, deviation is no more than 5 ‰.

The present invention has the following advantages and beneficial effect:

1, the artificial exploratory electric capacity match test of blindly poor efficiency can be avoided, reduce the manpower and materials consumption in Contactless power transmission device design process, saved the goods and materials cost of design work;

2, substantially reduce the design cycle of Contactless power transmission device, save the time cost of design work;

3, design accuracy is high, can meet design requirement.

Accompanying drawing explanation

The flow chart of this Optimization Design of Fig. 1;

Fig. 2 is the present invention for Contactless power transmission device structural representation;

4 kinds of compensation topology schematic diagrames of the 4 loop construction Contactless power transmission devices that Fig. 3 the present invention is suitable for;

Wherein:

Fig. 3 a transmitting coil series compensation receiving coil series compensation SS4 compensation topology schematic diagram;

Fig. 3 b transmitting coil series compensation receiving coil shunt compensation SP4 compensation topology schematic diagram;

Fig. 3 c transmitting coil shunt compensation receiving coil series compensation PS4 compensation topology schematic diagram;

Fig. 3 d transmitting coil shunt compensation receiving coil shunt compensation PP4 compensation topology schematic diagram;

Fig. 4 calls the flow chart that circuit simulation tools solves nonlinear programming problem;

Fig. 5 the present invention is optimized the actual effect of design to SS4 structure wireless electric device.

Embodiment

Below in conjunction with the drawings and specific embodiments, the present invention will be further described.

Apply the structure of the Contactless power transmission device of method for designing of the present invention as shown in Figure 2, comprise high frequency electric source 2100, load 2400, transmitting coil 2210, transmitting terminal amplifies 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 form transmitting terminal 2200; Receiving terminal amplifies coil and receiving coil forms receiving terminal 2300.

The transmitting terminal amplification coil 2211 of Contactless power transmission device amplifies coil resonance building-out capacitor 2221 with transmitting terminal and is connected in parallel, 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, Contactless power transmission 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.

The present invention is further illustrated below with regard to embodiments of the invention.

The Basic Design demand of embodiment is: the transmission range D of Contactless power transmission device, efficiency more than 85%, load is Rl, requires that power output is P when input voltage is U _obj.

As a kind of embodiment, given coil mounting structure is: transmitting coil 2210, transmitting terminal amplification coil 2211, the enamelled wire that receiving terminal amplifies coil 2311, receiving coil 2310 is d by wire diameter are coiled into solenoid coil, 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 amplify coil 2211, receiving terminal amplifies coil 2311, receiving coil 2310 parallel coaxial stacks.Transmitting coil 2210 and the transmitting terminal distance of amplifying between coil 2211 is L1, and receiving coil 2310 and the receiving terminal distance of amplifying between coil 2311 is L2, and transmitting terminal amplifies coil 2211 and the receiving terminal distance of amplifying between coil 2311 is transmission range D.Given capacitance compensation mode is transmitting terminal series compensation receiving terminal series compensation SS4 mode as shown in Figure 3 a.

Steps A, according to design requirement and specified criteria coiling and install the transmitting coil of Contactless power transmission device, transmitting terminal amplifies coil, receiving terminal amplifies coil and receiving coil;

The coupling matrix M that step B, the transmitting coil measuring institute's coiling, transmitting terminal amplify coil, receiving terminal amplifies coil and receiving coil _coiland internal resistance vector R _coil;

Step C, set up the multi-coil coupling Contactless power transmission device circuit system model mdl based on mutual inductance coupling model, by surveyed coupling matrix M with SIMULINK _coil, internal resistance vector R _coilsubstitute into Inductance Matrix parameter and the Resistance Matrix parameter of SIMULINK mutual inductance coupling model respectively, load resistor value is set to Rl, setting supply voltage U, frequency f; Active_Reactive Power and Subtract module is used to calculate the power output P of the Contactless power transmission device of emulation in a model _oand efficiency eta, as the output variable of model.

Step D, setting optimization object function and constraints, set up Nonlinear programming Model;

According to demand, require that when input voltage is U power output is P _obj, by the maximum string of size restrictions electric capacity and number is n, can obtain satisfactory maximum single electric capacity nominal capacitance is C _m1, minimum single electric capacity nominal capacitance is C _m2, can determine that capacitor's capacity is limited to C up and down _max=nC _m1, optimization aim should be pursued efficiency and meet power again, thus introduces weight vectors ω=[ω ₁1-ω ₁], by power target normalization, set up following Nonlinear programming Model:

min f(C)＝ω ₁(1-η)+(1-ω ₁)|1-P _o/P _obj|

$s.t.\left\{\begin{array}{c}C={\left[\begin{array}{cccc}{C}_1& C_2& C_3& C_4\end{array}\right]}^T>C_{m2}/n\\ C={\left[\begin{array}{cccc}{C}_1& C_2& C_3& C_4\end{array}\right]}^T\≤{\mathrm{nC}}_{m1}\end{array}\right.$

Step e, select numerical analysis tools MATLAB and model emulation instrument SIMULINK, according to Fig. 4, solve flow process solve nonlinear programming problem, two steps can be divided into:

(1) M function funname.m is write

Building-out capacitor vector initial value C=[C is set ₁₀c ₂₀c ₃₀c ₄₀] ^t(400), by sim command calls SIMULINK (401), SIMULINK emulates (4021) foregoing circuit model mdl, returns power output P after emulation terminates _oand efficiency eta (4022), calculating target function f (C) (403), using the return value of f (C) as M function funname.

(2) call optimization function at working space and solve above-mentioned Nonlinear programming Model

Using write M function funname as MATLAB optimization function ' FUN ' parameter calls optimization function fminsearch at working space, fminsearch can calculating target function value (403) afterwards automatic decision whether restrain (404), and the new value (405) of calculation compensation electric capacity vector, through the iteration of fintie number of steps, obtain resonance compensation capacitor's capacity [C _op1c _op2c _op3c _op4] ^t(406);

Step F, by gained [C _op1c _op2c _op3c _op4] ^tbe no more than in 5 ‰ scopes in deviation and configure 4 building-out capacitors by the connection in series-parallel of capacitor, complete Contactless power transmission device design.The actual effect that the present invention designs above-mentioned SS4 structure wireless electric device is adopted at different frequencies shown in Fig. 5.

Described embodiment is only a kind of exemplary applications of the present invention, 4 given coils, and wire diameter, 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 to select in SS4, SP4, PS4, PP4 any one as required.When adopting the present invention to be optimized design, good effect can be obtained.

Claims (7)

1. the method for designing of a Contactless power transmission device, described Contactless power transmission device comprises high frequency electric source (2100), load (2400), transmitting coil (2210), transmitting terminal amplifies 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), receiving coil resonance compensation electric capacity (2320); Described transmitting terminal amplification coil (2211) amplifies coil resonance building-out capacitor (2221) with transmitting terminal and is connected in parallel, and receiving terminal amplification coil (2311) and receiving terminal amplify coil resonance building-out capacitor (2321) and be 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, it is characterized in that described method for designing adopts Non-Linear Programming to carry out the optimal design of 4 resonance compensation electric capacity simultaneously, described method for designing comprises following steps:

Steps A, according to design requirement and specified criteria coiling and the transmitting coil (2210) of Contactless power transmission device is installed, transmitting terminal amplifies coil (2211), receiving terminal amplifies coil (2311) and receiving coil (2310);

Step B, the transmitting coil (2210) described in measurement, the electric parameter that transmitting terminal amplifies coil (2211), receiving terminal amplifies coil (2311) and receiving coil (2310);

Step C, the actual each coil electric parameter measured is utilized to set up multi-coil coupling Contactless power transmission device circuit system model based on mutual inductance coupling model;

Step D, setting optimization object function and constraints set up Nonlinear programming Model;

Step e, solve nonlinear programming problem, solving flow process is: the initial value first substituting into building-out capacitor vector, then call circuit simulation tools to emulate built Wireless power transmission system model, solve the numerical solution of the element that user is concerned about in collection of functions Fun, analytic solutions are replaced to return, then the collection of functions Fun simulation result by returning calculates the target function value in this iterative process, then judge whether to meet the condition of convergence, if do not meet the condition of convergence, then calculate building-out capacitor C vector according to optimization mathematical theory and be newly worth C _k, re invocation bottom circuit simulation tools emulation Wireless power transmission system model; Meet the condition of convergence, then finishing iteration if judge, obtain the capacitance of each building-out capacitor of Contactless power transmission device;

Step F, by the resonance compensation capacitor's capacity configuration electric capacity calculated, principle manages to configure to solve closest to step e the capacitance that Non-Linear Programming draws, deviation is no more than 5 ‰.

2. according to the method for designing of Contactless power transmission device according to claim 1, it is characterized in that described method for designing is design transmitting coil resonance compensation electric capacity (C1), transmitting terminal amplifies 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 Contactless power transmission device according to claim 1, it is characterized in that the specified criteria in 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; Described inessential condition is the operating frequency of Contactless power transmission device, input mode and compensation way.

4., according to the method for designing of Contactless power transmission device according to claim 1, it is characterized in that the electric parameter of each coil to be measured in described step B is included in transmitting coil self-induction L under 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 and amplifies 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 _l1, transmitting terminal amplifies Coil resistance r _l2, receiving terminal amplifies Coil resistance r _l3, receiving coil internal resistance r _l4, be designated as coil coupling matrix M _coiland Coil resistance vector R _coil:

$M_{\mathrm{coil}}=\left(\begin{array}{cccc}{L}_1& L_{12}& M_{13}& M_{14}\\ M_{12}& L_2& M_{23}& M_{24}\\ M_{13}& M_{23}& L_3& M_{24}\\ M_{14}& M_{24}& M_{34}& L_4\end{array}\right),$ R _coil＝[r _L1r _L2r _L3r _L4] ^T。

5. according to the method for designing of Contactless power transmission device according to claim 4, it is characterized in that in the modeling process of described step C, consider the internal resistance r of transmitting coil building-out capacitor C1 _c1, transmitting terminal amplifies the internal resistance r of Coil Compensation electric capacity C2 _c2, receiving terminal amplifies the internal resistance r of Coil Compensation electric capacity C3 _c3, receiving coil building-out capacitor C4 internal resistance r _c4, and following approximate processing is done to these electric capacity internal resistances: $R_C={\left[\begin{array}{cccc}{r}_{C1}& r_{C2}& r_{C3}& r_{C4}\end{array}\right]}^T\≈\frac{1}{\mathrm{\κ}}{\left[\begin{array}{cccc}{r}_{L1}& r_{L2}& r_{L3}& r_{L4}\end{array}\right]}^T=\frac{1}{\mathrm{\κ}}{R}_{\mathrm{coil}},\mathrm{\κ}=3~15.$

6., according to the method for designing of Contactless power transmission device according to claim 5, it is characterized in that in the Contactless power transmission device system described in step C, transmitting coil electric current I ₁, transmitting terminal amplifies coil current I ₂, receiving terminal amplifies coil current I ₃with the electric current I of receiving coil ₄can be write as output voltage U, coil coupling matrix M _coil, Coil resistance vector R _coil, resonance compensation electric capacity vector C, the internal resistance of resonance compensation electric capacity vector R _cfunction: $\begin{array}{c}{I}_1=g_1(U,f,M_{\mathrm{coil}},R_{\mathrm{coil}},C,R_C),I_2=g_2(U,f,M_{\mathrm{coil}},R_{\mathrm{coil}},C,R_C)\\ I_3=g_3(U,f,M_{\mathrm{coil}},R_{\mathrm{coil}},C,R_C),I_4=g_4(U,f,M_{\mathrm{coil}},R_{\mathrm{coil}},C,R_C)\end{array},$ And output voltage U _o, system effectiveness η, capacitance voltage U _cbe four coil current I ₁~ I ₄function, respective table is shown as U, f, M _coil, R _coil, the function of C;

When supply voltage U, operating frequency f, load R are given, recorded the coupling matrix M of coil by step B _coiland Coil resistance vector R _coil, obtain electric capacity internal resistance vector R _capproximation after, U _o, η, U _conly relevant with the capacitance of 4 building-out capacitors, write as the function of building-out capacitor capacitance vector C:

U _o＝I ₄R＝g ₄(U,f,M _coil,R _coil,C,R _C)R＝G(U,f,M _coil,C,R _coil)＝G(C)

$\begin{array}{c}\mathrm{\η}=\frac{P_o}{P_i}=\frac{P_o}{P_o+\mathrm{\Σ}{P}_r}=\frac{I_4^{2}R}{I_4^{2}R+I_1^2(r_{\mathrm{Ls}}+r_{L1}+r_{C1})+I_2^2(r_{L2}+r_{C2})+I_3^2(r_{L3}+r_{C3})+I_4^2(r_{L4}+r_{C4})}\\ =H(U,f,M_{\mathrm{coil}},C,R_{\mathrm{coil}})=H\left(C\right)\end{array},$

$U_C=\frac{I_C}{j2\mathrm{\πfC}}=M(U,f,M_{\mathrm{coil}},C,R_{\mathrm{coil}})=M\left(C\right)$

So, the collection of functions that it is independent variable that Contactless power transmission device circuit system model is equivalent to 4 building-out capacitors fun is 4 dimension space R ⁴a subset, the element selecting user to be concerned about from collection of functions Fun: output voltage U _o, unit efficiency η, power output P _o, capacitance voltage U _c, for the calculating of target function f (C) (403) in described step e.

7., according to the method for designing of Contactless power transmission device according to claim 1, it is characterized in that the optimization object function in described step D passes through to introduce weight vectors ω=[ω ₁, ω ₂, ω ₃..., ω _k], solve simultaneously containing multinomial design requirement f ₁(C), f ₂(C), f ₃(C) ... f _k(C) problem, the Nonlinear programming Model of this kind of situation is:

min f(C)＝ω ₁f ₁(C)+ω ₂f ₂(C)+ω ₃f ₃(C)+…ω _kf _k(C)

$s.t.\left\{\begin{array}{c}C={\left[\begin{array}{cccc}{C}_1& C_2& C_3& C_4\end{array}\right]}^T\≥C_{\min }\\ C={\left[\begin{array}{cccc}{C}_1& C_2& C_3& C_4\end{array}\right]}^T\≤C_{\max }\\ {\mathrm{\ω}}_1+{\mathrm{\ω}}_2+{\mathrm{\ω}}_3+...+{\mathrm{\ω}}_k=1\end{array}\right.;$

Wherein, C ₁for capacitance, the C of transmitting coil building-out capacitor ₂for transmitting terminal amplifies capacitance, the C of Coil Compensation electric capacity ₃for receiving terminal amplifies capacitance, the C of Coil Compensation electric capacity ₄for the capacitance of receiving coil building-out capacitor, C _maxthe maximum of capacitance is designed, C for building-out capacitor is actual _minthe minimum value of capacitance is designed for building-out capacitor is actual.