技术领域technical field
本实用新型涉及无线电能传输或无线输电的技术领域，尤其是指一种并-串联补偿型分数阶感应耦合无线电能传输系统。The utility model relates to the technical field of wireless power transmission or wireless power transmission, in particular to a parallel-series compensation type fractional order inductive coupling wireless power transmission system.
背景技术Background technique
在100多年前，尼古拉·特斯拉(Nikola Tesla)在没有任何导线连接的情况下点亮了灯泡，证明了电能无线传输的可行性。由于无线电能技术是一种非接触式的电能传输技术，具有安全、可靠、灵活的优点，越来越多的学者投入到无线电能传输领域中。Over 100 years ago, Nikola Tesla demonstrated the feasibility of wireless transmission of electrical energy by lighting a light bulb without any wires connecting it. Since wireless power technology is a non-contact power transmission technology, which has the advantages of safety, reliability and flexibility, more and more scholars have devoted themselves to the field of wireless power transmission.
目前，无线电能传输的实现方式包括：磁感应耦合、磁谐振耦合、电场耦合、微波、激光等。其中磁感应耦合无线电能传输在工程应用中极为广泛，如植入式医疗设备、电动牙刷、手机、电动汽车等。当前的磁感应耦合无线电能传输系统都是基于整数阶元件实现。At present, the implementation methods of wireless power transmission include: magnetic induction coupling, magnetic resonance coupling, electric field coupling, microwave, laser, etc. Among them, magnetic induction coupling wireless power transmission is extremely widely used in engineering applications, such as implanted medical equipment, electric toothbrushes, mobile phones, electric vehicles, etc. Current magnetic induction coupled wireless power transfer systems are all based on integer order components.
分数阶元件(即分数阶电感和分数阶电容)的概念来源于分数阶微积分。事实上，整数阶电感、电容元件在自然界并不存在，只是目前采用的电感、电容的分数阶数接近于1。随着人们对电感、电容特性认识的不断深入，开始考虑它们的分数阶影响，或有目的地利用它们的分数阶数改进电路性能，且在一些应用场合也已经被证明比整数阶元件更具优势，比如在阻抗匹配电路中的应用。然而，分数阶元件在并-串联补偿型感应耦合无线电能传输系统中的应用从未被提及，因此提出一种并-串联补偿型分数阶感应耦合无线电能传输系统具有实际价值。The concept of fractional-order components (ie, fractional-order inductors and fractional-order capacitors) comes from fractional-order calculus. In fact, integer-order inductors and capacitors do not exist in nature, but the fractional orders of inductors and capacitors currently used are close to 1. With the continuous deepening of people's understanding of the characteristics of inductors and capacitors, they began to consider their fractional order effects, or purposefully use their fractional order numbers to improve circuit performance, and in some applications it has also been proved that they are more efficient than integer order elements. Advantages, such as applications in impedance matching circuits. However, the application of fractional order elements in parallel-series compensation type inductively coupled wireless power transfer system has never been mentioned, so it is of practical value to propose a parallel-series compensation type fractional order inductively coupled wireless power transfer system.
发明内容Contents of the invention
本实用新型的目的在于克服现有技术的不足与缺点，提供了一种并-串联补偿型分数阶感应耦合无线电能传输系统，利用分数阶电感线圈进行感应耦合实现电能的无线传输，分数阶电感线圈产生的磁链或电压，不仅与电感值相关，而且与其分数阶数相关，而分数阶补偿网络补偿的无功功率也与其中的分数阶元件阶数相关，参数设计灵活，易于优化，性能完全区别于传统整数阶元件实现的并-串联补偿型感应耦合无线电能传输系统。The purpose of the utility model is to overcome the deficiencies and shortcomings of the prior art, and provide a parallel-series compensation fractional-order inductive coupling wireless power transmission system, which utilizes fractional-order inductance coils for inductive coupling to realize wireless transmission of electric energy, and fractional-order inductance The flux linkage or voltage generated by the coil is not only related to the inductance value, but also related to its fractional order, and the reactive power compensated by the fractional order compensation network is also related to the order of the fractional order components. The parameter design is flexible, easy to optimize, and the performance It is completely different from the parallel-series compensation type inductively coupled wireless power transmission system realized by traditional integer order elements.
为实现上述目的，本实用新型所提供的技术方案为：一种并-串联补偿型分数阶感应耦合无线电能传输系统，包括发射部分、接收部分及与该发射部分连接的电流源和与该接收部分连接的负载，所述发射部分包括发射端分数阶补偿网络、分数阶电感发射线圈和发射电路内阻，所述分数阶电感发射线圈和发射电路内阻串联后与发射端分数阶补偿网络并联，所述发射端分数阶补偿网络并联于发射部分中补偿系统无功功率，所述接收部分包括串联连接的接收端分数阶补偿网络、分数阶电感接收线圈和接收电路内阻，所述接收端分数阶补偿网络串联于接收部分中补偿系统无功功率；所述分数阶电感发射线圈和分数阶电感接收线圈通过电磁感应耦合实现电能的无线传输；所述发射端分数阶补偿网络和接收端分数阶补偿网络分别至少包含一个分数阶电容。In order to achieve the above purpose, the technical solution provided by the utility model is: a parallel-series compensation type fractional order inductively coupled wireless power transmission system, including a transmitting part, a receiving part and a current source connected to the transmitting part and the receiving part Partially connected load, the transmitting part includes a fractional-order compensation network at the transmitting end, a fractional-order inductive transmitting coil and an internal resistance of the transmitting circuit, and the fractional-order inductive transmitting coil and the internal resistance of the transmitting circuit are connected in parallel with the fractional-order compensation network at the transmitting end The fractional-order compensation network at the transmitting end is connected in parallel in the transmitting part to compensate system reactive power, and the receiving part includes a fractional-order compensation network at the receiving end connected in series, a fractional-order inductive receiving coil and an internal resistance of the receiving circuit, and the receiving end The fractional-order compensation network is connected in series in the receiving part to compensate the reactive power of the system; the fractional-order inductance transmitting coil and the fractional-order inductance receiving coil realize the wireless transmission of electric energy through electromagnetic induction coupling; the fractional-order compensation network at the transmitting end and the fractional-order inductive receiving coil The order compensation networks respectively contain at least one fractional order capacitor.
所述分数阶电感发射线圈的电压、电流微分关系满足：相位关系满足阻抗为：式中，iL1为分数阶电感发射线圈电流，vL1为分数阶电感发射线圈电压，β1为分数阶电感发射线圈的自感分数阶数，并且0＜β1≤2，Lβ1为分数阶电感发射线圈的自感值，当β1取1时，分数阶电感发射线圈即为整数阶电感线圈；所述分数阶电感接收线圈的电压、电流微分关系满足：相位关系满足阻抗为：式中，iL2为分数阶电感接收线圈电流，vL2为分数阶电感接收线圈电压，β2为分数阶电感接收线圈的自感分数阶数，并且0＜β2≤2，Lβ2为分数阶电感接收线圈的自感值，当β2取1时，分数阶电感接收线圈即为整数阶电感线圈；所述分数阶电感发射线圈和分数阶电感接收线圈的互感值为M、互感阶数为γ，互感的电压、电流微分关系满足或The voltage and current differential relationship of the fractional-order inductive transmitting coil satisfies: The phase relationship is satisfied The impedance is: In the formula, iL1 is the current of the transmitting coil of the fractional inductance, vL1 is the voltage of the transmitting coil of the fractional inductance, β1 is the fractional order of the self-inductance of the transmitting coil of the fractional inductance, and 0<β1 ≤ 2, Lβ1 is the fraction The self-inductance value of the order inductance transmitting coil, when β1 gets 1, the fractional order inductance transmitting coil is the integer order inductance coil; The voltage and current differential relationship of the fractional order inductance receiving coil satisfy: The phase relationship is satisfied The impedance is: In the formula, iL2 is the receiving coil current of the fractional inductance, vL2 is the receiving coil voltage of the fractional inductance, β2 is the fractional order of the self-inductance of the receiving coil of the fractional inductance, and 0<β2 ≤ 2, Lβ2 is the fraction The self-inductance value of order inductance receiving coil, when β2 gets 1, fractional order inductance receiving coil is integer order inductance coil; The mutual inductance value of described fractional order inductance transmitting coil and fractional order inductance receiving coil is M, mutual inductance order is γ, the voltage and current differential relationship of mutual inductance satisfies or
所述分数阶电容的电压vC和电流iC微分关系满足：相位关系满足阻抗为：其中分数阶阶数满足0＜α≤2，Cα为分数阶电容容值，ω为系统的工作角频率，当分数阶电容的阶数为1时，即为整数阶电容。The differential relationship between the voltage vC and current iC of the fractional order capacitor satisfies: The phase relationship is satisfied The impedance is: Among them, the order of fractional order satisfies 0<α≤2, Cα is the capacitance value of fractional order capacitor, and ω is the operating angular frequency of the system. When the order of fractional order capacitor is 1, it is an integer order capacitor.
本实用新型与现有技术相比，具有如下优点与有益效果：Compared with the prior art, the utility model has the following advantages and beneficial effects:
1、采用分数阶电感实现感应耦合无线电能传输，增加了参数设计的自由度，完全区别于以往的整数阶感应耦合无线电能传输系统。1. Using fractional-order inductors to realize inductively coupled wireless power transmission increases the degree of freedom in parameter design, which is completely different from previous integer-order inductively coupled wireless power transfer systems.
2、采用包含分数阶电容的补偿网络，通过合理的设计阶数，不仅可以补偿系统无功功率还可以补偿系统的有功功率，完全区别于以往的整数阶并-串联补偿的感应耦合无线电能传输系统。2. Using a compensation network containing fractional capacitors, through a reasonable design of the order, not only the reactive power of the system but also the active power of the system can be compensated, which is completely different from the previous integer-order parallel-series compensation inductively coupled wireless power transmission system.
3、通过适当地设计分数阶阶数，可以使传输功率更大。3. By properly designing the fractional order, the transmission power can be made larger.
附图说明Description of drawings
图1为本实用新型的并-串联补偿型分数阶感应耦合无线电能传输系统的结构示意图。FIG. 1 is a schematic structural diagram of a parallel-series compensation type fractional-order inductive coupling wireless power transmission system of the present invention.
图2为实施方式中本实用新型系统的具体电路图。Fig. 2 is a specific circuit diagram of the utility model system in the embodiment.
图3为实施方式中的α＝β时输出功率与互感的关系曲线。FIG. 3 is a relationship curve between output power and mutual inductance when α=β in the embodiment.
图4为实施方式中为α＝β时效率与互感的关系曲线。FIG. 4 is a relationship curve between efficiency and mutual inductance when α=β in the embodiment.
图5为实施方式中为α≠β时输出功率与互感的关系曲线。FIG. 5 is a relationship curve between output power and mutual inductance when α≠β in the embodiment.
图6为实施方式中为α≠β时效率与互感的关系曲线。FIG. 6 is a relationship curve between efficiency and mutual inductance when α≠β in the embodiment.
图7为实施方式中的α＝0.9,β＝1.1时的发射端分数阶补偿网络的电压电流时域波形。FIG. 7 is the voltage and current time-domain waveforms of the fractional compensation network at the transmitting end when α=0.9 and β=1.1 in the embodiment.
图8为实施方式中的α＝0.9,β＝1.1时的分数阶电感发射线圈的电压电流时域波形。Fig. 8 is the time-domain waveform of the voltage and current of the fractional-order inductance transmitting coil when α=0.9 and β=1.1 in the embodiment.
具体实施方式detailed description
为进一步阐述本实用新型的内容和特点，以下结合附图对本实用新型的具体实施方案进行具体说明，但本实用新型的实施和保护不限于此。In order to further illustrate the content and characteristics of the utility model, the specific implementation of the utility model will be described in detail below in conjunction with the accompanying drawings, but the implementation and protection of the utility model are not limited thereto.
参见图1所示，本实施例所提供的并-串联补偿型分数阶感应耦合无线电能传输系统，包括发射部分、接收部分及与该发射部分连接的电流源IS和与该接收部分连接的负载RL，所述发射部分包括发射端分数阶补偿网络、分数阶电感发射线圈Lβ1和发射电路内阻RS1，所述分数阶电感发射线圈Lβ1和发射电路内阻RS1串联后与发射端分数阶补偿网络并联，所述发射端分数阶补偿网络并联于发射部分中补偿系统无功功率，所述接收部分包括串联连接的接收端分数阶补偿网络、分数阶电感接收线圈Lβ2和接收电路内阻RS2，所述接收端分数阶补偿网络串联于接收部分中补偿系统无功功率；所述发射端分数阶补偿网络和接收端分数阶补偿网络分别至少包含一个分数阶电容。Referring to Fig. 1, the parallel-series compensation type fractional-order inductively coupled wireless power transfer system provided by this embodiment includes a transmitting part, a receiving part, a current source IS connected to the transmitting part, and a current source IS connected to the receiving part. Load RL , the transmitting part includes a fractional order compensation network at the transmitting end, a fractional order inductive transmitting coil Lβ1 and an internal resistance RS1 of the transmitting circuit, and the fractional order inductive transmitting coil Lβ1 and the internal resistance RS1 of the transmitting circuit are connected in series with The fractional-order compensation network at the transmitting end is connected in parallel, and the fractional-order compensation network at the transmitting end is connected in parallel in the transmitting part to compensate system reactive power. The receiving part includes a fractional-order compensation network at the receiving end connected in series, a fractional-order inductance receiving coil Lβ2 The internal resistance RS2 of the receiving circuit, the fractional order compensation network at the receiving end is connected in series in the receiving part to compensate system reactive power; the fractional order compensation network at the transmitting end and the fractional order compensation network at the receiving end respectively include at least one fractional order capacitor.
参见图2所示，ZC1代表发射端分数阶补偿网络，ZC2代表接收端分数阶补偿网络，其中分数阶电感发射线圈Lβ1的阶数和感值分别为β1和Lβ1，β1满足0＜β1≤2；分数阶电感接收线圈Lβ2的阶数和感值分别为β2和Lβ2，β2满足0＜β2≤2；分数阶电感发射线圈Lβ1和分数阶电感接收线圈Lβ2通过电磁感应耦合实现电能的无线传输，其中互感值为M，互感阶数为γ；在图2中，发射端分数阶补偿网络ZC1采用了一个分数阶电容组成，接收端分数阶补偿网络ZC2采用了一个分数阶电容组成，因此，发射部分和接收部分的分数阶补偿网络阻抗表达式分别为：As shown in Figure 2, ZC1 represents the fractional order compensation network at the transmitting end, and ZC2 represents the fractional order compensation network at the receiving end, where the order and inductance of the fractional order inductive transmitting coil Lβ1 are β1 and Lβ1 , β1 Satisfy 0<β1 ≤2; the order and inductance value of fractional-order inductance receiving coil Lβ2 are β2 and Lβ2 respectively, and β2 satisfies 0<β2 ≤2; fractional-order inductance transmitting coil Lβ1 and fractional-order inductance The receiving coil Lβ2 realizes the wireless transmission of electric energy through electromagnetic induction coupling, in which the mutual inductance value is M, and the mutualinductance order is γ; The order compensation network ZC2 is composed of a fractional order capacitor. Therefore, the impedance expressions of the fractional order compensation network of the transmitting part and the receiving part are respectively:
其中Cα1、Cα2分别为发射端分数阶补偿网络和接收端分数阶补偿网络中的电容容值，分数阶阶数α1满足0＜α1≤2，分数阶阶数α2满足0＜α2≤2。由上述阻抗的表达式可知，分数阶补偿网络不仅可补偿无功还可以补偿有功，并且阶数大于1时，分数阶补偿网络的阻抗具有负电阻性质。而整数阶补偿网络只能补偿无功。Among them, Cα1 and Cα2 are the capacitance values in the fractional-order compensation network at the transmitting end and the fractional-order compensation network at the receiving end respectively, the fractional-order order α1 satisfies 0<α1 ≤2, and the fractional-order order α2 satisfies 0< α2 ≦2. It can be seen from the above impedance expression that the fractional order compensation network can not only compensate reactive power but also compensate active power, and when the order is greater than 1, the impedance of the fractional order compensation network has a negative resistance property. The integer order compensation network can only compensate reactive power.
由图2根据KCL和KVL可得：From Figure 2, according to KCL and KVL:
因此解得输出电流为：Therefore, the output current is solved as:
其中：in:
所以可得输出功率为：So the available output power is:
PO＝|I2(jω)|2RLPO ＝|I2 (jω)|2 RL
为了实现系统全无功补偿，接收部分需满足接收端分数阶电容与分数阶接收电感线圈谐振，发射部分满足输入阻抗为纯电阻特性，则可求得接收端和发射端的分数阶电容需分别满足：In order to achieve full reactive power compensation of the system, the receiving part needs to meet the resonance of the fractional order capacitance at the receiving end and the fractional order receiving inductance coil, and the transmitting part needs to meet the input impedance as a pure resistance characteristic, then the fractional order capacitance at the receiving end and the transmitting end can be obtained respectively. :
其中：in:
则可得系统全无功补偿时的输入电压为：Then the input voltage at the time of full reactive power compensation of the system can be obtained as:
输入功率为：The input power is:
系统的传输效率表示为：The transmission efficiency of the system is expressed as:
由上述方程可知，系统的输出功率和效率不仅与工作频率ω、互感M有关，还与电感阶数β1、β2、γ和分数阶补偿网络的阶数α1，α2有关。以下讨论分数阶阶数对系统性能的影响。为了分析方便，令发射部分和接收部分中的分数阶电容阶数相等，分数阶电感发射和接收线圈的自感阶数和互感阶数相等，即α1＝α2＝α,β1＝β2＝γ＝β。It can be known from the above equations that the output power and efficiency of the system are not only related to the operating frequency ω and mutual inductance M, but also related to the inductance order β1 , β2 , γ and the order α1 and α2 of the fractional compensation network. The impact of the fractional order on system performance is discussed below. For the convenience of analysis, the fractional capacitance orders in the transmitting part and the receiving part are equal, and the self-inductance orders and mutual inductance orders of the fractional-order inductive transmitting and receiving coils are equal, that is, α1 = α2 = α, β1 = β2 = γ = β.
1)当α＝β时，作为举例，分数阶感应耦合无线电能传输系统的具体参数为：IS＝1A,RS1＝RS2＝1Ω，RL＝10Ω,Lβ1＝Lβ2＝Lβ＝200μH,ω＝2π*20000rad/s，阶数分别取β＝0.99,β＝1.00,β＝1.01。Ca1和Ca2的取值满足系统全无功补偿的条件。输出功率和效率与互感关系曲线如图3和图4所示。由图3可知当β＝1.01时，系统输出功率和效率都高于整数阶情况输出功率大于整数阶情况，尤其是在低互感的情况。1) When α=β, as an example, the specific parameters of the fractional order inductively coupled wireless power transfer system are: IS ＝1A, RS1 ＝RS2 ＝1Ω,RL ＝10Ω, Lβ1 ＝Lβ2 ＝Lβ =200μH, ω=2π*20000rad/s, and the orders are respectively β=0.99, β=1.00, and β=1.01. The values of Ca1 and Ca2 meet the conditions of system full reactive power compensation. The relationship curves of output power, efficiency and mutual inductance are shown in Figure 3 and Figure 4. It can be seen from Figure 3 that when β=1.01, the output power and efficiency of the system are higher than that of the integer order, and the output power is greater than that of the integer order, especially in the case of low mutual inductance.
2)当α≠β时，作为举例，系统元件阶数分别取α＝0.9,β＝1.1、α＝1.1,β＝0.9、α＝0.9,β＝0.8，其它参数同上，输出功率和效率与互感关系曲线如图5和图6所示。当α＝0.9,β＝1.1时，系统输出功率和效率在全互感范围都大于整数阶的情况，特别的在M＝100μH时，发射补偿网络的电压电流、发射电感电压电流的时域波形如图7和图8。2) When α≠β, as an example, the order of the system components is α=0.9, β=1.1, α=1.1, β=0.9, α=0.9, β=0.8, and other parameters are the same as above, and the output power and efficiency are the same as The relationship curves of mutual inductance are shown in Figure 5 and Figure 6. When α=0.9, β=1.1, the system output power and efficiency are greater than the integer order in the full mutual inductance range, especially when M=100μH, the voltage and current of the transmitting compensation network and the time domain waveform of the transmitting inductor voltage and current are as follows: Figures 7 and 8.
上述分析可知，本实用新型的并-串联补偿型分数阶感应耦合无线电能传输系统与传统的并-串联补偿的整数阶感应耦合无线电能传输系统存在很大差异，本实用新型系统的优点显而易见，值得推广。From the above analysis, it can be seen that there is a big difference between the parallel-series compensation type fractional-order inductively coupled wireless power transfer system of the present invention and the traditional parallel-series compensation integer-order inductively coupled wireless power transfer system, and the advantages of the utility model system are obvious. It is worth promoting.
以上所述实施例只为本实用新型之较佳实施例，并非以此限制本实用新型的实施范围，故凡依本实用新型之形状、原理所作的变化，均应涵盖在本实用新型的保护范围内。The above-described embodiment is only a preferred embodiment of the utility model, not to limit the scope of implementation of the utility model, so all changes made according to the shape and principle of the utility model should be covered by the protection of the utility model within range.
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| CN201720480016.6UCN206834849U (en) | 2017-05-03 | 2017-05-03 | A kind of and series compensation type fractional order inductively radio energy transmission system |
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| CN201720480016.6UCN206834849U (en) | 2017-05-03 | 2017-05-03 | A kind of and series compensation type fractional order inductively radio energy transmission system |
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| CN206834849Utrue CN206834849U (en) | 2018-01-02 |
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| CN201720480016.6UActiveCN206834849U (en) | 2017-05-03 | 2017-05-03 | A kind of and series compensation type fractional order inductively radio energy transmission system |
| Country | Link |
|---|---|
| CN (1) | CN206834849U (en) |
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107086674A (en)* | 2017-05-03 | 2017-08-22 | 华南理工大学 | A Parallel-Series Compensated Fractional Inductively Coupled Wireless Power Transfer System |
| CN110556926A (en)* | 2018-05-30 | 2019-12-10 | 兴澄股份有限公司 | Multi-receiving wireless charging system and method thereof |
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107086674A (en)* | 2017-05-03 | 2017-08-22 | 华南理工大学 | A Parallel-Series Compensated Fractional Inductively Coupled Wireless Power Transfer System |
| CN110556926A (en)* | 2018-05-30 | 2019-12-10 | 兴澄股份有限公司 | Multi-receiving wireless charging system and method thereof |
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| Date | Code | Title | Description |
|---|---|---|---|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| TR01 | Transfer of patent right | ||
| TR01 | Transfer of patent right | Effective date of registration:20230315 Address after:Room 402-F001, Building 4, No. 5 Mupi East Road, Tianhe District, Guangzhou City, Guangdong Province, 510630 Patentee after:Guangzhou Qingdian Technology Co.,Ltd. Address before:510640 No. five, 381 mountain road, Guangzhou, Guangdong, Tianhe District Patentee before:SOUTH CHINA University OF TECHNOLOGY |