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CN106981933B - Wireless power transmission system and distance-adaptive driving coil configuration method - Google Patents

Wireless power transmission system and distance-adaptive driving coil configuration method Download PDF

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CN106981933B
CN106981933B CN201710273762.2A CN201710273762A CN106981933B CN 106981933 B CN106981933 B CN 106981933B CN 201710273762 A CN201710273762 A CN 201710273762A CN 106981933 B CN106981933 B CN 106981933B
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CN106981933A (en
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杨东升
张化光
洪欢
周博文
刘鑫蕊
元席希
杨珺
会国涛
田江为
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Northeastern University China
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    • H01ELECTRIC ELEMENTS
    • H01FMAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
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Abstract

The invention provides a wireless power transmission system and a driving coil configuration method based on distance self-adaption, and relates to the technical field of wireless power transmission. The system comprises a high-frequency driving power supply, a driving coil group, a transmitting coil, a receiving coil and a load coil group, wherein the driving coil group comprises n parallel driving coils which are of non-coaxial structures and are on the same plane, the load coil group and the driving coil group are completely symmetrical, and the transmitting coil and the receiving coil are completely symmetrical. Based on the system, the conditions met by the maximum efficiency transmission of the system under different transmission distances are determined, and the conditions are converted into implicit functions of the radius of the driving coil, so that the optimal radius, inductance and series compensation capacitance are obtained. The wireless power transmission system adopts the non-coaxial driving coil group, realizes the portability of the wireless power transmission device, effectively reduces the system loss, and ensures that the system still carries out wireless power transmission with maximum efficiency when the transmission distance changes based on the distance self-adaptive driving coil configuration method.

Description

无线电能传输系统及基于距离自适应的驱动线圈配置方法Wireless power transmission system and distance-adaptive driving coil configuration method

技术领域Technical field

本发明涉及无线电能传输技术领域,尤其涉及一种无线电能传输系统及基于距离自适应的驱动线圈配置方法。The present invention relates to the technical field of wireless power transmission, and in particular, to a wireless power transmission system and a distance-adaptive driving coil configuration method.

背景技术Background technique

近些年,由于传统有线输电系统接触线易产生火花、导体易消损问题的突出,无线电能传输技术的研究越来越受到人们的重视,该技术的应用范围也从小型移动设备向工业领域不断扩宽。2007年麻省理工科学家在无线电能传输技术上实现了新的突破,发现磁耦合谐振式技术能够有效地提高无线电能传输距离和传输功率,并在实验中成功点亮了2米外的一盏功率为60瓦的灯泡。自此,磁耦合谐振式技术成为了国内外学者在中远距离无线电能传输中研究的重点技术。In recent years, as the contact lines of traditional wired power transmission systems are prone to sparks and conductors are prone to wear and tear, the research on wireless power transmission technology has attracted more and more attention. The application scope of this technology has also ranged from small mobile devices to industrial fields. Keep widening. In 2007, MIT scientists achieved a new breakthrough in wireless power transmission technology. They discovered that magnetic coupling resonant technology can effectively improve the wireless power transmission distance and transmission power, and successfully lit up a lamp 2 meters away in the experiment. A 60-watt light bulb. Since then, magnetic coupling resonant technology has become a key technology studied by domestic and foreign scholars in medium and long-distance wireless power transmission.

由于两线圈的磁耦合谐振式无线电能传输系统的传输效率对距离较为敏感,国内外研究者通常采用增加中继线圈的方式来进一步扩宽传输范围,提高传输效率,常见的主要有三线圈和四线圈结构。但是不论哪种结构,当传输距离发生变化时,线圈之间耦合也会发生变化,使系统出现频率分裂现象,而频率分裂现象的出现会使系统的传输效率急剧下降。Since the transmission efficiency of the two-coil magnetically coupled resonant wireless power transmission system is relatively sensitive to distance, domestic and foreign researchers usually use the method of adding relay coils to further expand the transmission range and improve the transmission efficiency. The most common ones are three-coil and four-coil structure. However, no matter which structure is used, when the transmission distance changes, the coupling between coils will also change, causing frequency splitting in the system. The occurrence of frequency splitting will cause the transmission efficiency of the system to drop sharply.

发明内容Contents of the invention

针对现有技术的缺陷,本发明提供一种无线电能传输系统及基于距离自适应的驱动线圈配置方法,采用对称式的四线圈无线电能传输系统并且驱动线圈组为采用非同轴结构,实现无线电能传输装置的轻便性,有效降低系统损耗,基于距离自适应的驱动线圈配置方法能够在传输距离发生变化时,保证系统仍然以最大效率进行无线电能传输,大大提高了系统效率。In view of the shortcomings of the existing technology, the present invention provides a wireless power transmission system and a distance-adaptive driving coil configuration method. It adopts a symmetrical four-coil wireless power transmission system and the driving coil group adopts a non-coaxial structure to realize wireless transmission. The portability of the transmission device can effectively reduce system losses. The drive coil configuration method based on distance adaptation can ensure that the system still transmits wireless power at maximum efficiency when the transmission distance changes, greatly improving system efficiency.

一方面,本发明提供一种无线电能传输系统,为非同轴四线圈磁耦合谐振式系统,包括高频驱动电源、驱动线圈组、发射线圈、接收线圈和负载线圈组;所述高频驱动电源与驱动线圈组串联构成驱动电路回路;所述负载线圈组的两端与需用电的负载连接构成负载电路回路;所述发射线圈和接收线圈依次独立且同轴设置于驱动线圈组和负载线圈组之间,发射线圈与接收线圈完全对称;驱动线圈组包括n个并联的驱动线圈,负载线圈组包括n个并联的负载线圈,负载线圈组与驱动线圈组完全对称;所述驱动线圈、发射线圈、接收线圈和负载线圈均包括电感线圈和串联补偿电容,所述驱动线圈组和负载线圈组中电感线圈的一端连接于一点,另一端分别串联相应的串联补偿电容;高频驱动电源与驱动线圈组之间、负载线圈组与需用电的负载之间均通过选择开关连接,保证驱动线圈组中的驱动线圈根据传输距离选择性接通,负载线圈相对称接通;n个驱动线圈为非同轴结构且在同一平面;n个负载线圈为非同轴结构且在同一平面,n的具体取值根据最大传输距离进行配置确定。On the one hand, the present invention provides a wireless power transmission system, which is a non-coaxial four-coil magnetic coupling resonance system, including a high-frequency drive power supply, a drive coil group, a transmitting coil, a receiving coil and a load coil group; the high-frequency drive The power supply and the driving coil group are connected in series to form a driving circuit loop; the two ends of the load coil group are connected to the load that requires electricity to form a load circuit loop; the transmitting coil and the receiving coil are independently and coaxially arranged between the driving coil group and the load. Between the coil groups, the transmitting coil and the receiving coil are completely symmetrical; the driving coil group includes n parallel-connected driving coils, the load coil group includes n parallel-connected load coils, and the load coil group and the driving coil group are completely symmetrical; the driving coil, The transmitting coil, the receiving coil and the load coil all include an inductor coil and a series compensation capacitor. One end of the inductor coil in the drive coil group and the load coil group is connected to one point, and the other end is connected in series with a corresponding series compensation capacitor; the high-frequency drive power supply is connected with The drive coil groups and the load coil group and the load requiring electricity are all connected through selector switches to ensure that the drive coils in the drive coil group are selectively connected according to the transmission distance and the load coils are connected symmetrically; n drive coils It is a non-coaxial structure and is in the same plane; n load coils are a non-coaxial structure and is in the same plane. The specific value of n is configured and determined according to the maximum transmission distance.

另一方面,本发明还提供一种基于距离自适应的无线电能传输系统驱动线圈配置方法,该方法以上述的非同轴四线圈磁耦合谐振式无线电能传输系统为基础,计算出该系统的传输效率表达式,并得出系统最大效率传输时耦合系数和线圈品质因数应满足的条件,通过将该条件转化为与驱动线圈半径有关的隐式函数,求得驱动线圈的最佳半径,进而确定驱动线圈的电感和串联补偿电容,完成一个驱动线圈的配置,负载线圈与驱动线圈参数完全一致;然后改变发射线圈与接收线圈之间的传输距离,仍以上述方法配置一个新的驱动线圈;再改变发射线圈与接收线圈之间的传输距离,再以上述方法再配置一个新的驱动线圈;如此循环,直到配置完n个驱动线圈,完成驱动线圈组的全部配置;当系统进行无线电能传输时,根据实际的传输距离,在n个驱动线圈中选择其半径、电感和串联补偿电容满足最大传输效率条件的驱动线圈导通,使系统始终以最大效率传输的状态进行无线电能传输。On the other hand, the present invention also provides a driving coil configuration method for a wireless power transmission system based on distance adaptive. This method is based on the above-mentioned non-coaxial four-coil magnetically coupled resonant wireless power transmission system and calculates the system's Transmission efficiency expression, and obtain the conditions that the coupling coefficient and coil quality factor should meet when the system has maximum efficiency transmission. By converting this condition into an implicit function related to the radius of the driving coil, the optimal radius of the driving coil can be obtained, and then Determine the inductance and series compensation capacitance of the driving coil to complete the configuration of a driving coil. The parameters of the load coil and the driving coil are completely consistent; then change the transmission distance between the transmitting coil and the receiving coil, and configure a new driving coil using the above method; Then change the transmission distance between the transmitting coil and the receiving coil, and then configure a new driving coil using the above method; this cycle continues until n driving coils are configured and the entire configuration of the driving coil group is completed; when the system performs wireless power transmission At this time, according to the actual transmission distance, the driving coil whose radius, inductance and series compensation capacitance meet the conditions of maximum transmission efficiency is selected from n drive coils to be turned on, so that the system always transmits wireless power in a state of maximum efficiency transmission.

进一步地,所述发射线圈与接收线圈之间的传输距离的改变为以等量递增改变,递增量即相邻两个传输距离之间的距离差为其中D为最大传输距离,即根据实际条件限定的发射线圈与接收线圈之间的最大距离,配置中的各传输距离为di=i·Δd,i=1,2,…,n。Further, the transmission distance between the transmitting coil and the receiving coil changes in equal increments, that is, the distance difference between two adjacent transmission distances is Among them, D is the maximum transmission distance, that is, the maximum distance between the transmitting coil and the receiving coil defined according to actual conditions. Each transmission distance in the configuration is di =i·Δd, i=1, 2,...,n.

进一步地,基于距离自适应的驱动线圈配置方法中求得驱动线圈最佳半径、电感和串联补偿电容的具体步骤如下:Furthermore, the specific steps to obtain the optimal radius, inductance and series compensation capacitance of the drive coil in the distance-adaptive drive coil configuration method are as follows:

步骤1:设定无线电能传输系统的基本参数,并初始化循环变量i=1;设定高频驱动源的角频率为ω0,系统的驱动线圈、发射线圈、接收线圈及负载线圈均满足在此角频率下发生谐振;系统发射线圈与接收线圈的电感、电阻、品质因数和串联补偿电容分别相同,即Lt=Lr、Rt=Rr、Qt=Qr、Ct=Cr;发射线圈与接收线圈的电感参数人为设定,驱动线圈和负载线圈的电感参数通过计算所得,驱动线圈和负载线圈的电感、串联补偿电容、电阻、品质因数分别相同,即Ldi=Lli、Rdi=Rli、Cdi=Cli、Qdi=Qli,i=1,2,…,n;系统中所有线圈使用的绕线半径均相同,记为a;Step 1: Set the basic parameters of the wireless power transmission system, and initialize the loop variable i = 1; set the angular frequency of the high-frequency driving source to ω 0 , and the driving coil, transmitting coil, receiving coil and load coil of the system all meet the requirements of Resonance occurs at this angular frequency; the inductance, resistance, quality factor and series compensation capacitance of the system transmitting coil and receiving coil are the same, that is, L t =L r , R t =R r , Q t =Q r , C t =C r ; The inductance parameters of the transmitting coil and the receiving coil are artificially set, and the inductance parameters of the driving coil and the load coil are calculated. The inductance, series compensation capacitance, resistance and quality factor of the driving coil and the load coil are the same respectively, that is, L di = L li , R di =R li , C di =C li , Q di =Q li , i=1, 2,...,n; all coils in the system use the same winding radius, denoted as a;

步骤2:当发射线圈与接收线圈之间的传输距离为di时,确定无线电能传输系统的传输效率表达式如式(1)所示;Step 2: When the transmission distance between the transmitting coil and the receiving coil is di , determine the transmission efficiency expression of the wireless power transmission system as shown in Equation (1);

其中,kdit、ktr分别表示驱动线圈与发射线圈之间的耦合系数、发射线圈与接收线圈之间的耦合系数;Among them, k dit and k tr respectively represent the coupling coefficient between the driving coil and the transmitting coil, and the coupling coefficient between the transmitting coil and the receiving coil;

步骤3:对传输效率表达式(1)进行求偏导确定使传输效率最大时无线电能传输系统应满足的条件为式(2);Step 3: Find the partial derivative of the transmission efficiency expression (1) Determine the conditions that the wireless power transmission system should satisfy when maximizing transmission efficiency: Equation (2);

步骤4:通过互感计算公式计算出发射线圈与接收线圈之间的互感Mtr,互感计算公式如式(3)所示;Step 4: Calculate the mutual inductance M tr between the transmitting coil and the receiving coil through the mutual inductance calculation formula. The mutual inductance calculation formula is shown in Equation (3);

其中,μ0为真空磁导率,数值为4π×10-7;rt是发射线圈的半径,rr是接收线圈的半径;d为发射线圈与接收线圈横向偏移(中心轴之间)的距离;k2=4αV((1+αV)22)-1,其中α=rrrt -1,β=dirt -1di为发射线圈与接收线圈所在平面之间的距离,也即发射线圈与接收线圈之间的传输距离;Ψ(k)=(1-k2/2)K(k)-E(k),K(k)和E(k)分别是第一类椭圆积分和第二类椭圆积分,/> Among them, μ 0 is the vacuum magnetic permeability, the value is 4π×10 -7 ; r t is the radius of the transmitting coil, r r is the radius of the receiving coil; d is the lateral offset of the transmitting coil and the receiving coil (between the central axis) distance; k 2 =4αV((1+αV) 22 ) -1 , where α=r r r t -1 , β=d i r t -1 , d i is the distance between the plane of the transmitting coil and the receiving coil, that is, the transmission distance between the transmitting coil and the receiving coil; Ψ(k)=(1-k 2 /2)K(k)-E(k) , K(k) and E(k) are elliptic integrals of the first kind and elliptic integrals of the second kind respectively,/>

步骤5:根据发射线圈电感Lt、接收线圈电感Lr和发射线圈与接收线圈之间的互感Mtr,确定发射线圈与接收线圈之间的耦合系数ktr,计算公式如式(4)所示;Step 5: Determine the coupling coefficient k tr between the transmitting coil and the receiving coil based on the transmitting coil inductance L t , the receiving coil inductance L r and the mutual inductance M tr between the transmitting coil and the receiving coil. The calculation formula is as shown in Equation (4) Show;

步骤6:设定驱动线圈的半径为rdi,在距离不变、发射线圈确定的情况下,根据互感的计算公式(5)和耦合系数的计算公式(6)确定驱动线圈与发射线圈之间的耦合系数kdit与驱动线圈半径rdi的隐函数关系;Step 6: Set the radius of the driving coil to r di . When the distance remains unchanged and the transmitting coil is determined, determine the distance between the driving coil and the transmitting coil according to the calculation formula (5) of the mutual inductance and the calculation formula (6) of the coupling coefficient. The implicit function relationship between the coupling coefficient k dit and the drive coil radius r di ;

其中,rt是发射线圈的半径;d′为驱动线圈与发射线圈横向偏移(中心轴之间)的距离;k′2=4α′V′((1+α′V′)2+β′2)-1,其中α′=rtrdi -1,β′=crdi -1,V′=(1+d′2rt -2-2d′rt - 1cosφ)1/2,c为驱动线圈和发射线圈所在平面之间的距离;Among them, r t is the radius of the transmitting coil; d′ is the distance between the lateral offset (between the central axis) of the driving coil and the transmitting coil; k′ 2 =4α′V′((1+α′V′) 2 +β ′ 2 ) -1 , where α′=r t r di -1 , β′=cr di -1 , V′=(1+d′ 2 r t -2 -2d′r t - 1 cosφ) 1/2 , c is the distance between the plane of the driving coil and the transmitting coil;

步骤7:驱动线圈的电感Ldi与半径rdi有如下关系,Step 7: The inductance L di of the drive coil has the following relationship with the radius r di ,

Ldi=μ0rdi[ln(8rdi/a)-1.75] (7)L di0 r di [ln(8r di /a)-1.75] (7)

则驱动线圈的品质因数为Qdi=ω0Ldi/Rdi,是驱动线圈半径rdi的函数;Then the quality factor of the driving coil is Q di0 L di /R di , which is a function of the radius r di of the driving coil;

根据传输效率最大时无线电能传输系统满足的条件式(2),确定唯一的驱动线圈半径rdiAccording to the conditional expression (2) satisfied by the wireless power transmission system when the transmission efficiency is maximum, determine the unique driving coil radius r di ;

步骤8:根据步骤7中确定的驱动线圈半径rdi与式(7),确定驱动线圈的电感Ldi;根据谐振频率公式确定驱动线圈串联补偿电容Cdi,此时系统以最大效率进行无线电能传输;Step 8: Determine the inductance L di of the drive coil according to the drive coil radius r di determined in step 7 and equation (7); according to the resonant frequency formula Determine the series compensation capacitance C di of the driving coil. At this time, the system performs wireless power transmission with maximum efficiency;

步骤9:判断循环变量i是否等于n,若是,则步骤结束,完成驱动线圈的配置;若否,则i=i+1,使传输距离等量递增一次,返回步骤2,确定新的驱动线圈半径、电感和串联补偿电容。Step 9: Determine whether the loop variable i is equal to n. If so, the step ends and the configuration of the drive coil is completed; if not, then i=i+1, increment the transmission distance by an equal amount, and return to step 2 to determine the new drive coil. radius, inductance and series compensation capacitance.

由上述技术方案可知,本发明的有益效果在于:本发明提供的一种无线电能传输系统及基于距离自适应的驱动线圈配置方法,无线电能传输系统的驱动线圈组采用非同轴结构,n个驱动线圈都在同一平面,可以使无线电能传输系统的发射端体积大大缩小,实现无线电能传输装置的轻便性,并能有效避免驱动电源与驱动线圈之间过长的连接线,有效降低系统损耗;以非同轴四线圈磁耦合谐振式无线电能传输系统为基础,以系统实现距离自适应最大效率无线电能传输为目标,通过驱动线圈配置方法对驱动线圈组的n个驱动线圈进行配置,实现无线电能的最大效率传输,当传输距离发生变化时,仍能保证无线电能传输系统以最大效率进行无线电能传输,大大提高了系统效率,很好地解决了当传输距离发生变化时无线电能传输系统的传输效率急剧下降的难题,为中距离无线电能传输系统实现距离自适应的最大效率传输提供明确的指导。It can be seen from the above technical solution that the beneficial effects of the present invention are: a wireless power transmission system and a driving coil configuration method based on distance adaptive provided by the present invention. The driving coil group of the wireless power transmission system adopts a non-coaxial structure, and n The drive coils are all on the same plane, which can greatly reduce the size of the transmitter of the wireless power transmission system, making the wireless power transmission device more portable, and can effectively avoid excessively long connecting lines between the drive power supply and the drive coil, effectively reducing system losses. ; Based on the non-coaxial four-coil magnetically coupled resonant wireless power transmission system, with the system achieving distance adaptive maximum efficiency wireless power transmission as the goal, the n drive coils of the drive coil group are configured through the drive coil configuration method to achieve Maximum efficiency transmission of wireless energy. When the transmission distance changes, the wireless power transmission system can still ensure that the wireless energy transmission system transmits wireless energy with maximum efficiency, greatly improving the system efficiency and well solving the problem of wireless energy transmission system when the transmission distance changes. The problem of sharp decline in transmission efficiency provides clear guidance for mid-distance wireless power transmission systems to achieve distance-adaptive maximum efficiency transmission.

附图说明Description of drawings

图1为本发明实施例提供的无线电能传输系统结构拓扑图;Figure 1 is a structural topology diagram of a wireless power transmission system provided by an embodiment of the present invention;

图2为图1的等效电路图;Figure 2 is the equivalent circuit diagram of Figure 1;

图3为本发明实施例提供的基于距离自适应的驱动线圈配置方法流程图;Figure 3 is a flow chart of a driving coil configuration method based on distance adaptation provided by an embodiment of the present invention;

图4为本发明实施例提供的无线电能传输系统传输效率与传输距离的关系曲线图。FIG. 4 is a graph showing the relationship between transmission efficiency and transmission distance of the wireless power transmission system provided by the embodiment of the present invention.

图中:1、高频驱动电源;2、驱动线圈组;3、发射线圈;4、接收线圈;5、负载线圈组;6、负载;7、驱动电路;8、发射电路;9、接收电路;10、负载电路;11、选择开关。In the picture: 1. High-frequency driving power supply; 2. Driving coil group; 3. Transmitting coil; 4. Receiving coil; 5. Load coil group; 6. Load; 7. Driving circuit; 8. Transmitting circuit; 9. Receiver circuit ;10. Load circuit; 11. Selector switch.

具体实施方式Detailed ways

下面结合附图和实施例,对本发明的具体实施方式作进一步详细描述。以下实施例用于说明本发明,但不用来限制本发明的范围。Specific implementations of the present invention will be described in further detail below with reference to the accompanying drawings and examples. The following examples are used to illustrate the invention but are not intended to limit the scope of the invention.

一种无线电能传输系统,为非同轴四线圈磁耦合谐振式系统,包括高频驱动电源1、驱动线圈组2、发射线圈3、接收线圈4和负载线圈组5。高频驱动电源1与驱动线圈组2串联构成驱动电路回路,负载线圈组5的两端与需用电的负载6连接构成负载电路回路;发射线圈3和接收线圈4依次独立且同轴设置于驱动线圈组2和负载线圈组5之间,发射线圈3与接收线圈4完全对称。驱动线圈组2包括n个并联的驱动线圈,负载线圈组5包括n个并联的负载线圈,负载线圈组5与驱动线圈组2完全对称;驱动线圈、发射线圈、接收线圈和负载线圈均包括电感线圈和相应的串联补偿电容,驱动线圈组2和负载线圈组5中电感线圈的一端连接于一点,另一端分别串联相应的串联补偿电容,高频驱动电源1与驱动线圈组2之间、负载线圈组5与需用电的负载6之间均通过选择开关11连接,保证驱动线圈组2中的驱动线圈根据传输距离选择性接通,负载线圈相对称接通;n个驱动线圈为非同轴结构且在同一平面;n个负载线圈为非同轴结构且在同一平面,n的具体取值根据最大传输距离进行配置确定,本实施例中,最大传输距离(即由于实际条件限定的发射线圈与接收线圈所在平面之间的最大距离)为0.5m,驱动线圈的个数n=4,该系统的结构拓扑图如图1所示。A wireless power transmission system is a non-coaxial four-coil magnetic coupling resonance system, including a high-frequency driving power supply 1, a driving coil group 2, a transmitting coil 3, a receiving coil 4 and a load coil group 5. The high-frequency driving power supply 1 and the driving coil group 2 are connected in series to form a driving circuit loop. Both ends of the load coil group 5 are connected to the load 6 that requires electricity to form a load circuit loop; the transmitting coil 3 and the receiving coil 4 are independently and coaxially arranged in sequence. Between the driving coil group 2 and the load coil group 5, the transmitting coil 3 and the receiving coil 4 are completely symmetrical. The drive coil group 2 includes n parallel drive coils, and the load coil group 5 includes n parallel load coils. The load coil group 5 is completely symmetrical with the drive coil group 2; the drive coil, the transmitting coil, the receiving coil and the load coil all include inductors. Coils and corresponding series compensation capacitors, one end of the inductance coil in the drive coil group 2 and the load coil group 5 is connected to one point, and the other end is connected in series with the corresponding series compensation capacitor. Between the high-frequency drive power supply 1 and the drive coil group 2, the load The coil group 5 and the load 6 requiring electricity are connected through a selector switch 11 to ensure that the drive coils in the drive coil group 2 are selectively connected according to the transmission distance, and the load coils are connected symmetrically; the n drive coils are non-identical. axial structure and in the same plane; n load coils have a non-coaxial structure and are in the same plane. The specific value of n is configured and determined according to the maximum transmission distance. In this embodiment, the maximum transmission distance (that is, due to the emission limit limited by actual conditions The maximum distance between the coil and the plane where the receiving coil is located) is 0.5m, and the number of driving coils is n=4. The structural topology of the system is shown in Figure 1.

如图2所示为上述无线电能传输系统的等效电路图(n=4),包括驱动电路7、发射电路8、接收电路9和负载电路10。驱动电路7包括高频驱动电源VS及其内阻RS和4组并联的CRL电路,其中Ldi(i=1,2,3,4)为驱动线圈的电感,Rdi(i=1,2,3,4)为驱动线圈的寄生电阻,Cdi(i=1,2,3,4)为驱动线圈的串联补偿电容。发射电路8包括一组串联的CRL电路,其中Lt为发射线圈的电感,Rt为发射线圈的寄生电阻,Ct为发射线圈的串联补偿电容。接收电路9包括一组串联的CRL电路,其中Lr为接收线圈的电感,Rr为接收线圈的寄生电阻,Cr为接收线圈的串联补偿电容。负载电路10包括负载电阻RL和4组并联的CRL电路,其中Lli(i=1,2,3,4)为负载线圈的电感,Rli(i=1,2,3,4)为负载线圈的寄生电阻,Cli(i=1,2,3,4)为负载线圈的串联补偿电容。Figure 2 shows the equivalent circuit diagram of the above wireless power transmission system (n=4), including a driving circuit 7, a transmitting circuit 8, a receiving circuit 9 and a load circuit 10. The drive circuit 7 includes a high-frequency drive power supply V S and its internal resistance R S and four groups of parallel CRL circuits, where L di (i=1, 2, 3, 4) is the inductance of the drive coil, R di (i=1 , 2, 3, 4) is the parasitic resistance of the driving coil, C di (i=1, 2, 3, 4) is the series compensation capacitance of the driving coil. The transmitting circuit 8 includes a set of series-connected CRL circuits, where L t is the inductance of the transmitting coil, R t is the parasitic resistance of the transmitting coil, and C t is the series compensation capacitance of the transmitting coil. The receiving circuit 9 includes a set of series-connected CRL circuits, where L r is the inductance of the receiving coil, R r is the parasitic resistance of the receiving coil, and C r is the series compensation capacitance of the receiving coil. The load circuit 10 includes a load resistor R L and four groups of parallel CRL circuits, where L li (i=1, 2, 3, 4) is the inductance of the load coil, and R li (i=1, 2, 3, 4) is The parasitic resistance of the load coil, Cli (i=1, 2, 3, 4) is the series compensation capacitance of the load coil.

基于上述的非同轴四线圈磁耦合谐振式无线电能传输系统,为了实现系统距离自适应最大效率无线电能传输,解决当传输距离发生变化时无线电能传输系统的传输效率急剧下降的难题,本实施例提供一种基于距离自适应的驱动线圈配置方法,先计算出系统的无线电能传输效率表达式,并得出系统最大效率传输时耦合系数应满足的条件,通过将该条件转化为与驱动线圈半径有关的隐式函数,求得驱动线圈的最佳半径,进而确定驱动线圈的电感和串联补偿电容,完成一个驱动线圈的配置;然后等量递增改变发射线圈与接收线圈之间的传输距离,仍以上述方法配置一个新的驱动线圈;再改变发射线圈与接收线圈之间的传输距离,再以上述方法再配置一个新的驱动线圈;如此循环,直到配置完n个驱动线圈,完成驱动线圈组2的全部配置。其中,发射线圈与接收线圈之间的传输距离等量递增改变时的递增量即相邻两个传输距离之间的距离差为其中D为最大传输距离,配置中变化的各传输距离为di=i·Δd,i=1,2,…,n。本实施例中,根据最大传输距离0.5m,传输距离递增量为0.1m,变化四次传输距离,从而配置4个驱动线圈。具体实施中,发射线圈与接收线圈之间的传输距离的改变也可以是等量递减改变,其配置结果与等量递增改变的配置结果是一样的,也可以根据实际的最大传输距离与实际条件,人为设定配置中传输距离改变的规则。负载线圈与驱动线圈参数完全一致,且负载线圈跟随驱动线圈变化。如图3所示,驱动线圈配置的具体方法的如下。Based on the above non-coaxial four-coil magnetically coupled resonant wireless power transmission system, in order to achieve system distance adaptive maximum efficiency wireless power transmission and solve the problem that the transmission efficiency of the wireless power transmission system drops sharply when the transmission distance changes, this implementation This example provides a distance-adaptive driving coil configuration method. First, calculate the wireless energy transmission efficiency expression of the system, and obtain the conditions that the coupling coefficient should meet when the system transmits with maximum efficiency. By converting this condition into the driving coil The implicit function related to the radius is used to obtain the optimal radius of the driving coil, and then the inductance and series compensation capacitance of the driving coil are determined to complete the configuration of a driving coil; then the transmission distance between the transmitting coil and the receiving coil is changed in equal increments, Still configure a new drive coil using the above method; then change the transmission distance between the transmitting coil and the receiving coil, and then configure a new drive coil using the above method; this cycle continues until n drive coils are configured and the drive coil is completed All configurations for Group 2. Among them, the incremental amount when the transmission distance between the transmitting coil and the receiving coil changes in equal increments, that is, the distance difference between two adjacent transmission distances is Among them, D is the maximum transmission distance, and the transmission distances changed in the configuration are di =i·Δd, i=1, 2,...,n. In this embodiment, according to the maximum transmission distance of 0.5m, the transmission distance increment is 0.1m, and the transmission distance is changed four times, thereby configuring four drive coils. In the specific implementation, the change in the transmission distance between the transmitting coil and the receiving coil can also be an equal amount of decreasing change, and the configuration result is the same as an equal amount of increasing change. It can also be based on the actual maximum transmission distance and actual conditions. , artificially set the rules for changing the transmission distance in the configuration. The parameters of the load coil and the drive coil are completely consistent, and the load coil changes with the drive coil. As shown in Figure 3, the specific method of driving coil configuration is as follows.

步骤1:设定无线电能传输系统的基本参数,并初始化循环变量i=1;设定高频驱动源的角频率为ω0,系统驱动线圈、发射线圈、接收线圈及负载线圈均满足在此频率下发生谐振;系统中所有线圈使用绕线相同,且绕线半径为a;系统发射线圈与接收线圈完全对称,驱动线圈组与负载系线圈组完全对称,因此发射线圈的电感、电阻、品质因数和串联补偿电容与接收线圈的电感、电阻、品质因数和串联补偿电容分别相同,即Lt=Lr、Rt=Rr、Qt=Qr、Ct=Cr,驱动线圈的电感、串联补偿电容、电阻、品质因数与负载系线圈的电感、串联补偿电容、电阻、品质因数分别相同,即Ldi=Lli、Rdi=Rli、Cdi=Cli、Qdi=Qli,i=1,2,3,4。发射线圈与接收线圈电感参数在设计时人为设定,驱动线圈和负载线圈的电感参数在设计过程中通过计算所得,本实施例中,角频率ω0=2π*13.56MHz,绕线半径a=2.5mm,发射线圈与接收线圈电感Lt=Lr=15.56uH。Step 1: Set the basic parameters of the wireless power transmission system, and initialize the loop variable i = 1; set the angular frequency of the high-frequency driving source to ω 0 , and the system driving coil, transmitting coil, receiving coil and load coil all meet this requirement Resonance occurs at the frequency; all coils in the system use the same winding, and the winding radius is a; the system transmitting coil and the receiving coil are completely symmetrical, and the driving coil group and the load system coil group are completely symmetrical, so the inductance, resistance, quality of the transmitting coil The factor and series compensation capacitance are the same as the inductance, resistance, quality factor and series compensation capacitance of the receiving coil, that is, L t =L r , R t =R r , Q t =Q r ,C t =C r , and the driving coil's The inductance, series compensation capacitor, resistance, and quality factor are the same as those of the load system coil, that is, L di = L li , R di = R li , C di = C li , Q di = Q li , i=1, 2, 3, 4. The inductance parameters of the transmitting coil and the receiving coil are artificially set during design, and the inductance parameters of the driving coil and load coil are calculated during the design process. In this embodiment, the angular frequency ω 0 =2π*13.56MHz, and the winding radius a= 2.5mm, the inductance of the transmitting coil and the receiving coil is L t =L r =15.56uH.

根据谐振频率公式确定发射线圈的串联补偿电容为/>接收线圈的串联补偿电容为/>根据寄生电阻计算公式/>其中σ和l分别表示铜线电导率和线圈总长(抻直之后的长度),确定发射线圈的寄生电阻为接收线圈的寄生电阻为/>根据品质因数计算公式/>确定发射线圈的品质因数为/>接收线圈的品质因数为 According to the resonant frequency formula Determine the series compensation capacitance of the transmitting coil as/> The series compensation capacitance of the receiving coil is/> According to the parasitic resistance calculation formula/> Among them, σ and l represent the conductivity of the copper wire and the total length of the coil (the length after straightening) respectively. The parasitic resistance of the transmitting coil is determined as The parasitic resistance of the receiving coil is/> According to the formula for calculating the quality factor/> Determine the quality factor of the transmitting coil as/> The quality factor of the receiving coil is

步骤2:当传输距离为di(发射线圈3与接收线圈4之间的距离)时,确定无线电能传输系统的传输效率η,表达式如式(1)所示;Step 2: When the transmission distance is di (the distance between the transmitting coil 3 and the receiving coil 4), determine the transmission efficiency η of the wireless power transmission system, and the expression is as shown in equation (1);

其中,kdit、ktr分别表示驱动线圈与发射线圈之间的耦合系数、发射线圈与接收线圈之间的耦合系数。本实施例中,首先设定传输距离为d1=0.1m。Among them, k dit and k tr respectively represent the coupling coefficient between the driving coil and the transmitting coil and the coupling coefficient between the transmitting coil and the receiving coil. In this embodiment, the transmission distance is first set to d 1 =0.1m.

步骤3:对传输效率表达式(1)进行求偏导确定使传输效率最大时无线电能传输系统应满足的条件为式(2);Step 3: Find the partial derivative of the transmission efficiency expression (1) Determine the conditions that the wireless power transmission system should satisfy when maximizing transmission efficiency: Equation (2);

只有当耦合系数kdit、ktr和品质因数Qdi、Qt满足上式关系时,系统无线电能传输的效率才是最大的。Only when the coupling coefficients k dit and k tr and the quality factors Q di and Q t satisfy the above relationship, the efficiency of the system's wireless power transmission is maximum.

步骤4:通过互感计算公式计算出发射线圈与接收线圈之间的互感Mtr,互感计算公式如式(3)所示。Step 4: Calculate the mutual inductance M tr between the transmitting coil and the receiving coil through the mutual inductance calculation formula. The mutual inductance calculation formula is shown in Equation (3).

其中,μ0为真空磁导率,数值为4π×10-7;rt是发射线圈的半径,rr是接收线圈的半径;d为发射线圈与接收线圈横向偏移(中心轴之间)的距离;k2=4αV((1+αV)22)-1,其中α=rrrt -1,β=dirt -1di为发射线圈与接收线圈所在平面之间的距离,也即发射线圈与接收线圈之间的传输距离;Ψ(k)=(1-k2/2)K(k)-E(k),K(k)和E(k)分别是第一类椭圆积分和第二类椭圆积分,/>φ和θ是积分符号,计算结果里不会出现。本实施例中,计算得到发射线圈与接收线圈之间的互感为Mtr=1.2450μH。Among them, μ 0 is the vacuum magnetic permeability, the value is 4π×10 -7 ; r t is the radius of the transmitting coil, r r is the radius of the receiving coil; d is the lateral offset of the transmitting coil and the receiving coil (between the central axis) distance; k 2 =4αV((1+αV) 22 ) -1 , where α=r r r t -1 , β=d i r t -1 , d i is the distance between the plane of the transmitting coil and the receiving coil, that is, the transmission distance between the transmitting coil and the receiving coil; Ψ(k)=(1-k 2 /2)K(k)-E(k) , K(k) and E(k) are elliptic integrals of the first kind and elliptic integrals of the second kind respectively,/> φ and θ are integral symbols and will not appear in the calculation results. In this embodiment, the calculated mutual inductance between the transmitting coil and the receiving coil is M tr =1.2450 μH.

步骤5:根据步骤1中发射线圈电感Lt、接收线圈电感Lr和步骤4中计算出的发射线圈与接收线圈之间的互感Mtr,确定发射线圈与接收线圈之间的耦合系数ktr,计算公式如式(4)所示。Step 5: Determine the coupling coefficient k tr between the transmitting coil and the receiving coil based on the transmitting coil inductance L t , the receiving coil inductance L r and the mutual inductance M tr between the transmitting coil and the receiving coil calculated in step 4 , the calculation formula is shown in Equation (4).

本实施例中,计算发射线圈与接收线圈之间的耦合系数为ktr=0.1281。In this embodiment, the calculated coupling coefficient between the transmitting coil and the receiving coil is k tr =0.1281.

步骤6:设定驱动线圈的半径为rdi,在距离不变、发射线圈确定的情况下,根据互感的计算公式(5)和耦合系数的计算公式(6)确定驱动线圈与发射线圈之间的耦合系数kdit与驱动线圈半径rdi的隐函数关系。Step 6: Set the radius of the driving coil to r di . When the distance remains unchanged and the transmitting coil is determined, determine the distance between the driving coil and the transmitting coil according to the calculation formula (5) of the mutual inductance and the calculation formula (6) of the coupling coefficient. The implicit function relationship between the coupling coefficient k dit and the drive coil radius r di .

其中,rt是发射线圈的半径;d′为驱动线圈与发射线圈横向偏移(中心轴之间)的距离;k′2=4α′V′((1+α′V′)2+β′2)-1,其中α′=rtrdi -1,β′=crdi -1,V′=(1+d′2rt -2-2d′rt - 1cosφ)1/2,c为驱动线圈和发射线圈所在平面之间的距离,为了减小发射端体积,c取一个较小值,本实施例中c=0.025m。Among them, r t is the radius of the transmitting coil; d′ is the distance between the lateral offset (between the central axis) of the driving coil and the transmitting coil; k′ 2 =4α′V′((1+α′V′) 2 +β ′ 2 ) -1 , where α′=r t r di -1 , β′=cr di -1 , V′=(1+d′ 2 r t -2 -2d′r t - 1 cosφ) 1/2 , c is the distance between the plane where the driving coil and the transmitting coil are located. In order to reduce the volume of the transmitting end, c takes a smaller value. In this embodiment, c=0.025m.

步骤7:驱动线圈的电感Ldi与rdi有如下关系,Step 7: The inductance L di of the drive coil and r di have the following relationship,

Ldi=μ0rdi[ln(8rdi/a)-1.75] (7)L di0 r di [ln(8r di /a)-1.75] (7)

则驱动线圈的品质因数Qdi=ω0Ldi/Rdi也是驱动线圈半径rdi的函数;根据传输效率最大时无线电能传输系统满足的条件式(2),确定唯一的驱动线圈的半径。本实施例中,当传输距离为d1=0.1m时,确定的驱动线圈半径为rd1=0.095m。Then the quality factor of the driving coil Q di0 L di /R di is also a function of the radius r di of the driving coil; according to the conditional expression (2) that the wireless power transmission system satisfies when the transmission efficiency is maximum, the radius of the unique driving coil is determined. In this embodiment, when the transmission distance is d 1 =0.1m, the determined driving coil radius is r d1 =0.095m.

将系统最大效率传输应满足的条件转化为一个与驱动线圈半径rdi有关的隐式函数,通过求解出最佳的半径rdi来反向推导驱动线圈的电感,进而得到驱动线圈的串联补偿电容。Conditions that should be met to transmit the maximum efficiency of the system It is converted into an implicit function related to the radius r di of the driving coil, and the inductance of the driving coil is reversely deduced by solving the optimal radius r di , and then the series compensation capacitance of the driving coil is obtained.

步骤8:根据步骤7中确定的驱动线圈半径rdi与式(7),确定驱动线圈电感Ldi;根据谐振频率公式确定驱动线圈串联补偿电容Cdi。本实施例中,当传输距离为d1=0.1m时,确定的驱动线圈电感为Ld1=2.245μH,驱动线圈串联补偿电容为Cd1=61.363pF。系统负载线圈与驱动线圈参数完全一致,此时系统以最大效率进行无线电能传输。Step 8: Determine the drive coil inductance L di according to the drive coil radius r di determined in step 7 and equation (7); according to the resonant frequency formula Determine the drive coil series compensation capacitance C di . In this embodiment, when the transmission distance is d 1 =0.1m, the determined driving coil inductance is L d1 =2.245 μH, and the driving coil series compensation capacitance is C d1 =61.363pF. The system load coil and drive coil parameters are completely consistent. At this time, the system performs wireless power transmission with maximum efficiency.

步骤9:判断循环变量i是否等于n,若是,则驱动线圈的配置完成;若否,则i=i+1,使传输距离等量递增一次,返回步骤2,确定新的驱动线圈半径、电感和串联补偿电容。Step 9: Determine whether the loop variable i is equal to n. If so, the configuration of the drive coil is completed; if not, then i=i+1, increase the transmission distance by an equal amount, and return to step 2 to determine the new drive coil radius and inductance. and series compensation capacitor.

本实施例中,传输距离根据等量递增原则由d1=0.1m变成d2=0.2m时,重复上述步骤2到步骤9,确定新的驱动线圈半径为rd2=0.075m、驱动线圈电感Ld2=1.683μH和驱动线圈串联补偿电容Cd2=81.853pF,负载线圈跟随驱动线圈变化,使系统仍满足最大效率传输条件。当传输距离再变成d3=0.3m时,重复上述步骤2到步骤9,可以确定新的驱动线圈半径为rd3=0.06m、驱动线圈电感Ld3=1.279μH和驱动线圈串联补偿电容Cd3=107.71pF,负载线圈跟随驱动线圈变化,使系统仍满足最大效率传输条件。当传输距离再变成d4=0.4m时,重复上述步骤2到步骤8,可以确定新的驱动线圈半径rd4=0.055m,驱动线圈电感Ld4=1.084μH和驱动线圈串联补偿电容Cd4=127.08pF,负载线圈跟随驱动线圈变化,使系统仍满足最大效率传输条件。In this embodiment, when the transmission distance changes from d 1 =0.1m to d 2 =0.2m according to the principle of equal increment, repeat the above steps 2 to 9 to determine the new driving coil radius r d2 =0.075m, and the driving coil The inductor L d2 =1.683μH and the drive coil are connected in series with the compensation capacitor C d2 =81.853pF. The load coil follows the change of the drive coil, so that the system still meets the maximum efficiency transmission conditions. When the transmission distance becomes d 3 =0.3m again, repeat the above steps 2 to 9, and you can determine the new driving coil radius r d3 =0.06m, the driving coil inductance L d3 =1.279μH and the driving coil series compensation capacitor C d3 = 107.71pF, the load coil follows the change of the drive coil, so that the system still meets the maximum efficiency transmission condition. When the transmission distance becomes d 4 =0.4m again, repeat the above steps 2 to 8 to determine the new driving coil radius r d4 =0.055m, the driving coil inductance L d4 =1.084μH and the driving coil series compensation capacitor C d4 =127.08pF, the load coil follows the change of the drive coil, so that the system still meets the maximum efficiency transmission condition.

具体实施中,各个传输距离对应的求解过程(步骤2至步骤8)先后顺序可以不限定,只要将n个驱动线圈相应的尺寸和电感、电容参数都确定了,就完成了配置。In the specific implementation, the order of the solution process (step 2 to step 8) corresponding to each transmission distance is not limited. As long as the corresponding sizes and inductance and capacitance parameters of the n drive coils are determined, the configuration is completed.

根据求得所有传输距离下的不同线圈半径的传输效率,绘制不同线圈半径下传输距离与效率的拟合曲线图,如图4所示,为本实施例得到的不同线圈半径下传输距离与传输效率的拟合曲线图。当系统进行无线电能传输时,根据实际的传输距离,在n个驱动线圈中选择其半径、电感和串联补偿电容满足最大传输效率条件的驱动线圈导通,使系统始终以最大效率传输的状态进行无线电能传输。本实施例中,当传输距离在0.5m以内变化时,根据曲线图中该传输距离与四个传输效率值的对应关系,选择其中最大的传输效率对应的线圈半径,进而在配置好的4个驱动线圈中通过选择开关选择该半径的驱动线圈导通,此时系统能量传输效率达到最大。因此,当传输距离不断发生改变时,通过比较不同线圈半径下传输距离与效率的大小关系,可以确定在任意传输距离时,通过切换线圈来实现效率最大的传输方式。Based on the transmission efficiency of different coil radii under all transmission distances, a fitting curve diagram of transmission distance and efficiency under different coil radii is drawn, as shown in Figure 4, which is the transmission distance and transmission under different coil radii obtained in this embodiment. Fitted curve plot of efficiency. When the system performs wireless power transmission, according to the actual transmission distance, the driving coil whose radius, inductance and series compensation capacitance meet the conditions of maximum transmission efficiency is selected from n drive coils to be turned on, so that the system always operates in a state of maximum efficiency transmission. Wireless power transmission. In this embodiment, when the transmission distance changes within 0.5m, according to the corresponding relationship between the transmission distance and the four transmission efficiency values in the graph, the coil radius corresponding to the largest transmission efficiency is selected, and then the four configured Among the drive coils, the drive coil with the radius selected by the selector switch is turned on. At this time, the system energy transmission efficiency reaches the maximum. Therefore, when the transmission distance continues to change, by comparing the relationship between transmission distance and efficiency under different coil radii, it can be determined that at any transmission distance, the transmission method with the highest efficiency can be achieved by switching coils.

本实施例提出的无线电能传输系统及其基于距离自适应的驱动线圈配置方法能很好地解决当传输距离发生变化时无线电能传输系统的传输效率急剧下降的难题,为无线电能传输技术在中远距离范围内实现距离自适应最大效率传输提供了明确的指导。The wireless power transmission system and its distance-adaptive driving coil configuration method proposed in this embodiment can well solve the problem of a sharp decline in the transmission efficiency of the wireless power transmission system when the transmission distance changes, laying a solid foundation for the application of wireless power transmission technology in COSCO. Provides clear guidance for achieving range-adaptive maximum efficiency transmission within a range.

最后应说明的是:以上实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述实施例所记载的技术方案进行修改,或者对其中部分或者全部技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明权利要求所限定的范围。Finally, it should be noted that the above embodiments are only used to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that it can still be used Modifications are made to the technical solutions described in the foregoing embodiments, or equivalent substitutions are made to some or all of the technical features; however, these modifications or substitutions do not cause the essence of the corresponding technical solutions to depart from the scope of the claims of the present invention.

Claims (1)

1.一种基于距离自适应的无线电能传输系统驱动线圈配置方法,用于配置一种无线电能传输系统中的驱动线圈,其特征在于:1. A distance-adaptive driving coil configuration method for a wireless power transmission system, used to configure a driving coil in a wireless power transmission system, which is characterized by: 所述无线电能传输系统为非同轴四线圈磁耦合谐振式系统,包括高频驱动电源(1)、驱动线圈组(2)、发射线圈(3)、接收线圈(4)和负载线圈组(5);所述高频驱动电源(1)与驱动线圈组(2)串联构成驱动电路回路;所述负载线圈组(5)的两端与需用电的负载连接构成负载电路回路;所述发射线圈(3)和接收线圈(4)依次独立且同轴设置于驱动线圈组(2)和负载线圈组(5)之间,发射线圈(3)与接收线圈(4)完全对称;驱动线圈组(2)包括n个并联的驱动线圈,负载线圈组(5)包括n个并联的负载线圈,负载线圈组(5)与驱动线圈组(2)完全对称;所述驱动线圈、发射线圈、接收线圈和负载线圈均包括电感线圈和串联补偿电容,所述驱动线圈组(2)和负载线圈组(5)中电感线圈的一端连接于一点,另一端分别串联相应的串联补偿电容;高频驱动电源(1)与驱动线圈组(2)之间、负载线圈组(5)与需用电的负载(6)之间均通过选择开关(11)连接,保证驱动线圈组(2)中的驱动线圈根据传输距离选择性接通,负载线圈相对称接通;n个驱动线圈为非同轴结构且在同一平面;n个负载线圈为非同轴结构且在同一平面,n的具体取值根据最大传输距离进行配置确定;The wireless power transmission system is a non-coaxial four-coil magnetic coupling resonant system, including a high-frequency driving power supply (1), a driving coil group (2), a transmitting coil (3), a receiving coil (4) and a load coil group ( 5); The high-frequency driving power supply (1) and the driving coil group (2) are connected in series to form a driving circuit loop; the two ends of the load coil group (5) are connected to the load that requires electricity to form a load circuit loop; The transmitting coil (3) and the receiving coil (4) are independently and coaxially arranged between the driving coil group (2) and the load coil group (5). The transmitting coil (3) and the receiving coil (4) are completely symmetrical; the driving coil The group (2) includes n parallel-connected drive coils, and the load coil group (5) includes n parallel-connected load coils. The load coil group (5) is completely symmetrical with the drive coil group (2); the drive coil, the transmitting coil, Both the receiving coil and the load coil include an inductor coil and a series compensation capacitor. One end of the inductor coil in the drive coil group (2) and the load coil group (5) is connected to one point, and the other end is connected in series with a corresponding series compensation capacitor; high frequency The driving power supply (1) and the driving coil group (2), and the load coil group (5) and the load requiring electricity (6) are all connected through the selector switch (11) to ensure that the driving coil group (2) The drive coil is selectively turned on according to the transmission distance, and the load coil is turned on relatively symmetrically; n drive coils have a non-coaxial structure and are in the same plane; n load coils have a non-coaxial structure and are in the same plane, the specific value of n Configuration is determined based on the maximum transmission distance; 计算出该无线电能传输系统的传输效率表达式,并得出系统最大效率传输时耦合系数和线圈品质因数应满足的条件,通过将该条件转化为与驱动线圈半径有关的隐式函数,求得驱动线圈的最佳半径,进而确定驱动线圈的电感和串联补偿电容,完成一个驱动线圈的配置,负载线圈与驱动线圈参数完全一致;然后改变发射线圈与接收线圈之间的传输距离,仍以上述方法配置一个新的驱动线圈;再改变发射线圈与接收线圈之间的传输距离,再以上述方法再配置一个新的驱动线圈;如此循环,直到配置完n个驱动线圈,完成驱动线圈组的全部配置;当系统进行无线电能传输时,根据实际的传输距离,在n个驱动线圈中选择其半径、电感和串联补偿电容满足最大传输效率条件的驱动线圈导通,使系统始终以最大效率传输的状态进行无线电能传输;Calculate the transmission efficiency expression of the wireless power transmission system, and obtain the conditions that the coupling coefficient and coil quality factor should meet when the system reaches maximum efficiency transmission. By converting this condition into an implicit function related to the drive coil radius, we can obtain The optimal radius of the driving coil is then determined, and the inductance and series compensation capacitance of the driving coil are determined to complete the configuration of a driving coil. The parameters of the load coil and the driving coil are completely consistent; then the transmission distance between the transmitting coil and the receiving coil is changed, and the above is still used. Method to configure a new drive coil; then change the transmission distance between the transmitting coil and the receiving coil, and then configure a new drive coil using the above method; this cycle continues until n drive coils are configured and the entire drive coil group is completed Configuration; when the system performs wireless power transmission, according to the actual transmission distance, the driving coil whose radius, inductance and series compensation capacitance meet the maximum transmission efficiency conditions is selected from n drive coils to be turned on, so that the system always transmits at maximum efficiency. status for wireless power transmission; 所述发射线圈与接收线圈之间的传输距离的改变为以等量递增改变,递增量即相邻两个传输距离之间的距离差为其中D为最大传输距离,即根据实际条件限定的发射线圈与接收线圈之间的最大距离,配置中的各传输距离为di=i·Δd,i=1,2,…,n;The transmission distance between the transmitting coil and the receiving coil changes in equal increments, that is, the distance difference between two adjacent transmission distances is Among them, D is the maximum transmission distance, that is, the maximum distance between the transmitting coil and the receiving coil defined according to actual conditions. The transmission distances in the configuration are di =i·Δd, i=1,2,...,n; 所述求得驱动线圈的最佳半径,进而确定驱动线圈的电感和串联补偿电容的具体步骤如下:The specific steps to obtain the optimal radius of the drive coil and then determine the inductance and series compensation capacitance of the drive coil are as follows: 步骤1:设定无线电能传输系统的基本参数,并初始化循环变量i=1;设定高频驱动源的角频率为ω0,系统的驱动线圈、发射线圈、接收线圈及负载线圈均满足在此角频率下发生谐振;系统发射线圈与接收线圈的电感、电阻、品质因数和串联补偿电容分别相同,即Lt=Lr、Rt=Rr、Qt=Qr、Ct=Cr;发射线圈与接收线圈的电感参数人为设定,驱动线圈和负载线圈的电感参数通过计算所得,驱动线圈和负载线圈的电感、串联补偿电容、电阻、品质因数分别相同,即Ldi=Lli、Rdi=Rli、Cdi=Cli、Qdi=Qli,i=1,2,…,n;系统中所有线圈使用的绕线半径均相同,记为a;Step 1: Set the basic parameters of the wireless power transmission system, and initialize the loop variable i = 1; set the angular frequency of the high-frequency driving source to ω 0 , and the driving coil, transmitting coil, receiving coil and load coil of the system all meet the requirements of Resonance occurs at this angular frequency; the inductance, resistance, quality factor and series compensation capacitance of the system transmitting coil and receiving coil are the same, that is, L t =L r , R t =R r , Q t =Q r , C t =C r ; The inductance parameters of the transmitting coil and the receiving coil are artificially set, and the inductance parameters of the driving coil and the load coil are calculated. The inductance, series compensation capacitance, resistance and quality factor of the driving coil and the load coil are the same respectively, that is, L di = L li , R di =R li , C di =C li , Q di =Q li , i=1,2,…,n; all coils in the system use the same winding radius, denoted as a; 步骤2:当发射线圈与接收线圈之间的传输距离为di时,确定无线电能传输系统的传输效率表达式如式(1)所示;Step 2: When the transmission distance between the transmitting coil and the receiving coil is di , determine the transmission efficiency expression of the wireless power transmission system as shown in Equation (1); 其中,kdit、ktr分别表示驱动线圈与发射线圈之间的耦合系数、发射线圈与接收线圈之间的耦合系数;Among them, k dit and k tr respectively represent the coupling coefficient between the driving coil and the transmitting coil, and the coupling coefficient between the transmitting coil and the receiving coil; 步骤3:对传输效率表达式(1)进行求偏导确定使传输效率最大时无线电能传输系统应满足的条件为式(2);Step 3: Find the partial derivative of the transmission efficiency expression (1) Determine the conditions that the wireless power transmission system should satisfy when maximizing transmission efficiency: Equation (2); 步骤4:通过互感计算公式计算出发射线圈与接收线圈之间的互感Mtr,互感计算公式如式(3)所示;Step 4: Calculate the mutual inductance M tr between the transmitting coil and the receiving coil through the mutual inductance calculation formula. The mutual inductance calculation formula is shown in Equation (3); 其中,μ0为真空磁导率,数值为4π×10-7;rt是发射线圈的半径,rr是接收线圈的半径;d为发射线圈与接收线圈横向偏移的距离;k2=4αV((1+αV)22)-1,其中α=rrrt -1,β=dirt -1di为发射线圈与接收线圈所在平面之间的距离,也即发射线圈与接收线圈之间的传输距离;Ψ(k)=(1-k2/2)K(k)-E(k),K(k)和E(k)分别是第一类椭圆积分和第二类椭圆积分,/> Among them, μ 0 is the vacuum magnetic permeability, the value is 4π×10 -7 ; r t is the radius of the transmitting coil, r r is the radius of the receiving coil; d is the lateral offset distance between the transmitting coil and the receiving coil; k 2 = 4αV((1+αV) 22 ) -1 , where α=r r r t -1 , β=d i r t -1 , d i is the distance between the plane of the transmitting coil and the receiving coil, that is, the transmission distance between the transmitting coil and the receiving coil; Ψ(k)=(1-k 2 /2)K(k)-E(k) , K(k) and E(k) are elliptic integrals of the first kind and elliptic integrals of the second kind respectively,/> 步骤5:根据发射线圈电感Lt、接收线圈电感Lr和发射线圈与接收线圈之间的互感Mtr,确定发射线圈与接收线圈之间的耦合系数ktr,计算公式如式(4)所示;Step 5: Determine the coupling coefficient k tr between the transmitting coil and the receiving coil based on the transmitting coil inductance L t , the receiving coil inductance L r and the mutual inductance M tr between the transmitting coil and the receiving coil. The calculation formula is as shown in Equation (4) Show; 步骤6:设定驱动线圈的半径为rdi,在距离不变、发射线圈确定的情况下,根据互感的计算公式(5)和耦合系数的计算公式(6)确定驱动线圈与发射线圈之间的耦合系数kdit与驱动线圈半径rdi的隐函数关系;Step 6: Set the radius of the driving coil to r di . When the distance remains unchanged and the transmitting coil is determined, determine the distance between the driving coil and the transmitting coil according to the calculation formula (5) of the mutual inductance and the calculation formula (6) of the coupling coefficient. The implicit function relationship between the coupling coefficient k dit and the drive coil radius r di ; 其中,rt是发射线圈的半径;d′为驱动线圈与发射线圈横向偏移的距离;k′2=4α′V′((1+α′V′)2′2)-1,其中α′=rtrdi -1,β′=crdi -1,V′=(1+d′2rt -2-2d′rt -1cosφ)1/2,c为驱动线圈和发射线圈所在平面之间的距离;Among them, r t is the radius of the transmitting coil; d′ is the lateral offset distance between the driving coil and the transmitting coil; k′ 2 =4α′V′((1+α′V′) 2′2 ) -1 , Among them, α′=r t r di -1 , β′=cr di -1 , V′=(1+d′ 2 r t -2 -2d′r t -1 cosφ) 1/2 , c is the driving coil and The distance between the planes where the transmitting coil is located; 步骤7:驱动线圈的电感Ldi与半径rdi有如下关系,Step 7: The inductance L di of the drive coil has the following relationship with the radius r di , Ldi=μ0rdi[ln(8rdi/a)-1.75] (7)L di0 r di [ln(8r di /a)-1.75] (7) 则驱动线圈的品质因数为Qdi=ω0Ldi/Rdi,是驱动线圈半径rdi的函数;Then the quality factor of the driving coil is Q di0 L di /R di , which is a function of the radius r di of the driving coil; 根据传输效率最大时无线电能传输系统满足的条件式(2),确定唯一的驱动线圈半径rdiAccording to the conditional expression (2) satisfied by the wireless power transmission system when the transmission efficiency is maximum, determine the unique driving coil radius r di ; 步骤8:根据步骤7中确定的驱动线圈半径rdi与式(7),确定驱动线圈的电感Ldi;根据谐振频率公式确定驱动线圈串联补偿电容Cdi,此时系统以最大效率进行无线电能传输;Step 8: Determine the inductance L di of the drive coil according to the drive coil radius r di determined in step 7 and equation (7); according to the resonant frequency formula Determine the series compensation capacitance C di of the driving coil. At this time, the system performs wireless power transmission with maximum efficiency; 步骤9:判断循环变量i是否等于n,若是,则步骤结束,完成驱动线圈的配置;若否,则i=i+1,使传输距离等量递增一次,返回步骤2,确定新的驱动线圈半径、电感和串联补偿电容。Step 9: Determine whether the loop variable i is equal to n. If so, the step ends and the configuration of the drive coil is completed; if not, then i=i+1, increment the transmission distance by an equal amount, and return to step 2 to determine the new drive coil. radius, inductance and series compensation capacitance.
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