CN111224471B - Maximum efficiency tracking method for electric field coupling type underwater wireless power transmission system - Google Patents
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Abstract
Description
技术领域Technical field
本发明属于无线电能传输技术领域,具体涉及一种电场耦合式水下无线电能传输系统最大效率跟踪方法。The invention belongs to the technical field of wireless power transmission, and specifically relates to a maximum efficiency tracking method of an electric field coupled underwater wireless power transmission system.
背景技术Background technique
当今,大规模海下智能系统和军事设施(例如:水下传感器、海洋监控系统以及自主水下航行器(AUVs))建设以及长期运行维护面临的重大技术挑战是缺少安全和可靠的能源供应。尤其是深海条件下,相比其它电能传输方式(更换电池、电缆),无线电能传输系统具有高可靠性和高安全性的显著优势,更适合应用于自主水下航行器或者其它水下平台。因此,海下无线电能传输系统关键技术的研究对于国家实现“海洋强国”战略具有至关重要的作用。Today, a major technical challenge facing the construction and long-term operation and maintenance of large-scale underwater intelligent systems and military facilities (such as underwater sensors, ocean monitoring systems, and autonomous underwater vehicles (AUVs)) is the lack of safe and reliable energy supply. Especially under deep-sea conditions, compared with other power transmission methods (replacing batteries and cables), the wireless power transmission system has significant advantages of high reliability and high safety, and is more suitable for application in autonomous underwater vehicles or other underwater platforms. Therefore, research on key technologies of underwater wireless power transmission systems plays a vital role in realizing the country’s strategy of “marine power”.
海洋环境是一个复杂多变的环境。海洋中的温度、盐度以及天气等因素将会直接影响海下无线电能传输系统的安全运行。例如,由于外界环境或者水下航行器自身移动所导致的无线电能传输系统发射端线圈和接收端线圈的角度或者距离发生变化时,海下无线电能传输系统的电能传输将会受到很大影响。因此,如何实现无线电能传输系统稳定和安全运行是水下无线电能传输系统需要解决问题的关键所在。在海下环境中,电能资源极其有限,如何实现对电能资源的最大化利用也是当前需要迫切解决的问题。随着科学技术的发展和国家海洋战略的实施,自主水下航行器在海洋考察、军事、科学和工业勘探等领域得到了越来越广泛的应用。现阶段,自主水下航行器主要采取的充电方式是物理电缆、手动更换电池和基于海底基站的无线电能传输系统。相对于物理电缆和手动更换电池方式,海下无线电能传输系统可以高效、便捷的实现对水下自主航行器的充电。当前采用的海下无线电能传输系统主要是基于磁场感应式或者磁场耦合谐振式无线电能传输系统。但是,电感线圈在具有导电性的淡水或者海水中将会产生涡流损耗且随着频率的增加而不断升高。另外,电感线圈对周围金属比较敏感,这将严重影响自主水下航行器的无线充电安全。The marine environment is a complex and ever-changing environment. Factors such as temperature, salinity, and weather in the ocean will directly affect the safe operation of the underwater wireless power transmission system. For example, when the angle or distance between the transmitter coil and the receiver coil of the wireless power transmission system changes due to the external environment or the movement of the underwater vehicle itself, the power transmission of the underwater wireless power transmission system will be greatly affected. Therefore, how to achieve stable and safe operation of the wireless power transmission system is the key to the problem that the underwater wireless power transmission system needs to solve. In the underwater environment, electric energy resources are extremely limited. How to maximize the utilization of electric energy resources is also an urgent problem that needs to be solved. With the development of science and technology and the implementation of national marine strategies, autonomous underwater vehicles have been increasingly widely used in fields such as ocean survey, military, scientific and industrial exploration. At this stage, the main charging methods for autonomous underwater vehicles are physical cables, manual battery replacement, and wireless power transmission systems based on submarine base stations. Compared with physical cables and manual battery replacement, the underwater wireless power transmission system can efficiently and conveniently charge autonomous underwater vehicles. The currently adopted underwater wireless power transmission systems are mainly based on magnetic field induction or magnetic field coupling resonant wireless power transmission systems. However, the inductor coil will produce eddy current losses in conductive fresh water or sea water, which will continue to increase as the frequency increases. In addition, the inductor coil is sensitive to surrounding metal, which will seriously affect the safety of wireless charging of autonomous underwater vehicles.
电场耦合式无线电能传输系统已经被证明可以高效、远距离、大功率地进行无线电能传输,其在海水中无涡流损耗且对纵向角度偏移不敏感。另外,电场耦合式无线电能传输系统在运行时受周围金属的影响不大。由于海水介质大概是是空气介质相对介电常数的72倍(水温25度,海水盐度35‰,频率2G Hz以下)。因此,相对于空气介质,其海下电能传输能力将大大增强。另外,只采用金属板作为无线电能传输的媒介,将可以很大程度上降低成本。因此,电场耦合式无线电能传输系统将会在海下无线电能传输方面具有光明的应用前景。但是,现在还缺少针对电场耦合式无线电能传输系统基于海水介质的耦合电容模型和最大效率跟踪算法等方面的研究,这些方面的工作将会实现海下无线电能的动态和高效率运行。因此,这些研究对无线电能传输系统安全和稳定地运行将起着关键影响。The electric field-coupled wireless power transmission system has been proven to be capable of efficient, long-distance, and high-power wireless power transmission. It has no eddy current loss in seawater and is insensitive to longitudinal angle deviation. In addition, the electric field coupling wireless power transmission system is not greatly affected by the surrounding metal during operation. Because the relative dielectric constant of seawater medium is about 72 times that of air medium (water temperature is 25 degrees, seawater salinity is 35‰, frequency is below 2G Hz). Therefore, compared with the air medium, its underwater power transmission capability will be greatly enhanced. In addition, using only metal plates as the medium for wireless power transmission will reduce costs to a great extent. Therefore, the electric field coupled wireless power transmission system will have bright application prospects in underwater wireless power transmission. However, there is still a lack of research on the coupling capacitance model and maximum efficiency tracking algorithm of the electric field coupled wireless power transmission system based on seawater medium. These aspects of work will realize the dynamic and high-efficiency operation of underwater wireless power. Therefore, these studies will have a key impact on the safe and stable operation of wireless power transmission systems.
在这种背景下,本发明专利提出一种电场耦合式水下无线电能传输系统最大效率跟踪方法。Against this background, the patent of this invention proposes a maximum efficiency tracking method for an electric field coupled underwater wireless power transmission system.
发明内容Contents of the invention
本发明的目的是提供一种电场耦合式水下无线电能传输系统最大效率跟踪方法,解决了现有技术中存在的水下设备因为洋流、水压、温度、盐度等因素而带来充电功率不稳定的问题。The purpose of the present invention is to provide a maximum efficiency tracking method for an electric field-coupled underwater wireless power transmission system, which solves the problem of charging power caused by underwater equipment in the prior art due to ocean currents, water pressure, temperature, salinity and other factors. Unstable issues.
本发明所采用的技术方案是,电场耦合式水下无线电能传输系统最大效率跟踪方法,具体按照以下步骤实施:The technical solution adopted by the present invention is a maximum efficiency tracking method for an electric field coupled underwater wireless power transmission system, which is specifically implemented in accordance with the following steps:
步骤1、建立电场耦合式水下无线电能传输系统的耦合电容模型,实现对基于水介质的耦合电容的模拟;Step 1. Establish a coupling capacitance model of the electric field coupling underwater wireless power transmission system to simulate the coupling capacitance based on water media;
步骤2、构造电场耦合式水下无线电能传输系统的无线电能传输单元的等效电路模型,从而计算最大能量传输效率情况下等效输出电阻,寻找最大能量传输效率情况下等效输出电阻和耦合电容之间的关系,从而通过检测耦合电容值构建最大能量传输效率;Step 2. Construct an equivalent circuit model of the wireless power transmission unit of the electric field coupled underwater wireless power transmission system to calculate the equivalent output resistance under the maximum energy transmission efficiency and find the equivalent output resistance and coupling under the maximum energy transmission efficiency. The relationship between capacitances, thereby constructing the maximum energy transfer efficiency by detecting the coupling capacitance value;
步骤3、通过所检测到的耦合电容值实时调整发射端全桥逆变电路的开关频率和接收端全桥整流电路的移相角,从而实现无线电能传输系统的最大能量传输效率跟踪。Step 3. Use the detected coupling capacitance value to adjust the switching frequency of the full-bridge inverter circuit at the transmitting end and the phase shift angle of the full-bridge rectifier circuit at the receiving end in real time, thereby achieving tracking of the maximum energy transfer efficiency of the wireless power transmission system.
本发明的特点还在于,The present invention is also characterized in that,
步骤1中电场耦合式水下无线电能传输系统的耦合电容模型具体结构为:包括通过耦合电容连接的全桥逆变电路和全桥整流电路,全桥逆变电路中,Vin为无线电能传输系统电源,S11~S14为全桥逆变电路四个功率开关管,其中S11和S14组成一个桥臂,S12和S13组成一个桥臂;The specific structure of the coupling capacitor model of the electric field coupled underwater wireless power transmission system in step 1 is: including a full-bridge inverter circuit and a full-bridge rectifier circuit connected through the coupling capacitor. In the full-bridge inverter circuit, Vin is the wireless power transmission system Power supply, S 11 ~ S 14 are four power switch tubes of the full-bridge inverter circuit, among which S 11 and S 14 form a bridge arm, and S 12 and S 13 form a bridge arm;
耦合电容中,P1~P4为构成耦合电容的四块金属板,其中,P1和P4为发射端金属板,P2和P3为接收端金属板;In the coupling capacitor, P 1 ~ P 4 are the four metal plates that constitute the coupling capacitor. Among them, P 1 and P 4 are the transmitting end metal plates, and P 2 and P 3 are the receiving end metal plates;
全桥整流电路中,S21~S24为全桥整流电路的四个功率开关管,其中,S21和S24组成一个桥臂,S22和S23组成一个桥臂;In the full-bridge rectifier circuit, S 21 to S 24 are the four power switch tubes of the full-bridge rectifier circuit. Among them, S 21 and S 24 form a bridge arm, and S 22 and S 23 form a bridge arm;
LP为原边谐振网络的谐振电感,谐振电感LP连接于功率开关管S11和发射端金属板P1之间,LS为副边谐振网络的谐振电感,谐振电感LS连接于接收端金属板P2和功率开关管S21之间;L P is the resonant inductance of the primary side resonant network. The resonant inductor L P is connected between the power switch tube S 11 and the transmitting end metal plate P 1 . L S is the resonant inductance of the secondary side resonant network. The resonant inductor L S is connected to the receiving end. Between the terminal metal plate P 2 and the power switch tube S 21 ;
整个结构由电池Vbattery供电。The entire structure is powered by the battery V battery .
步骤2中耦合电容的等效电路具体如下:The equivalent circuit of the coupling capacitor in step 2 is as follows:
设耦合电容原边的等效电容为CP,等效电压为VP,等效电流为IP;将耦合电容的原边等效为一个电流源,等效电流源的电流为I=jωCMVS,设耦合电容的副边等效电容为CS,等效电压为VS,等效电流为IS,将耦合电容的副边等效为一个电流源等效电流源电流为I=jωCMVP;Assume that the equivalent capacitance of the primary side of the coupling capacitor is C P , the equivalent voltage is VP , and the equivalent current is I P ; the primary side of the coupling capacitor is equivalent to a current source, and the current of the equivalent current source is I = jωC M V S , assuming that the equivalent capacitance of the secondary side of the coupling capacitor is C S , the equivalent voltage is V S , and the equivalent current is I S , the secondary side of the coupling capacitor is equivalent to a current source and the equivalent current source current is I = jωC M V P ;
电容耦合系数kc和耦合电容CM存在的关系用下面的公式表示为:The relationship between the capacitive coupling coefficient k c and the coupling capacitance C M is expressed by the following formula:
步骤2中电容式水下无线电能传输系统的无线电能传输单元的等效电路模型具体如下:The equivalent circuit model of the wireless power transmission unit of the capacitive underwater wireless power transmission system in step 2 is as follows:
包括无线电能传输系统电源Us,原边谐振网络的等效电压VP,原边谐振网络等效电感LP,原边谐振网络等效电阻RP,原边谐振网络等效电阻CP,等效电流源的电流为I=jωCMVS;Including the wireless power transmission system power supply Us, the equivalent voltage VP of the primary resonant network, the equivalent inductance LP of the primary resonant network, the equivalent resistance R P of the primary resonant network, the equivalent resistance C P of the primary resonant network, etc. The current of the effective current source is I=jωC M V S ;
设副边谐振网络的等效电压VS,副边谐振网络的等效电阻RS,副边谐振网络的等效电感LS,副边谐振网络的等效电容CS,等效输出电阻RLeq,则:Assume the equivalent voltage V S of the secondary resonant network, the equivalent resistance R S of the secondary resonant network, the equivalent inductance L S of the secondary resonant network, the equivalent capacitance C S of the secondary resonant network, and the equivalent output resistance R Leq , then:
电场耦合式无线电能传输最大电能传输效率满足公式:The maximum power transmission efficiency of electric field coupled wireless power transmission satisfies the formula:
令α=[jωCpCs-jω(CM)2],β=(jωLs+Rs)[jωCpCs-jω(CM)2]+Cp,γ=β2Rp+(CM)2Rs,α、β、r为中间替换量;Let α=[jωC p C s -jω(C M ) 2 ], β=(jωL s +R s )[jωC p C s -jω(C M ) 2 ]+C p , γ=β 2 R p + (C M ) 2 R s , α, β, r are intermediate substitution amounts;
公式(3)化简得:Formula (3) is simplified to:
其中,CM为耦合电容,RLeq为等效输出电阻,Rp为原边谐振网络的等效电阻;Among them, C M is the coupling capacitance, R Leq is the equivalent output resistance, and R p is the equivalent resistance of the primary resonant network;
公式(4)为电场耦合式无线电能传输系统的最大电能传输效率公式;Formula (4) is the formula for the maximum power transmission efficiency of the electric field coupling wireless power transmission system;
对公式(4)中的等效输出电阻RLeq求导,在最大电能传输效率情况下,等效输出电阻RLeq表示为:Derive the equivalent output resistance R Leq in formula (4). Under the condition of maximum power transmission efficiency, the equivalent output resistance R Leq is expressed as:
其中,Rp为原边谐振网络的等效电阻,CM为耦合电容,Rs为副边谐振网络的等效电阻。Among them, R p is the equivalent resistance of the primary side resonant network, C M is the coupling capacitance, and R s is the equivalent resistance of the secondary side resonant network.
步骤3具体如下:Step 3 is detailed as follows:
设所述步骤1中电场耦合式水下无线电能传输系统的耦合电容模型中接收端全桥整流电路移相角为θ,负载电阻RL和等效输出电阻RLeq之间的关系表示为:Assume that the phase shift angle of the full-bridge rectifier circuit at the receiving end in the coupling capacitor model of the electric field coupled underwater wireless power transmission system in step 1 is θ, and the relationship between the load resistance R L and the equivalent output resistance R Leq is expressed as:
结合公式(5)和(6),得出在最大电能传输功率情况下,耦合电容CM和移相角θ的关系为:Combining formulas (5) and (6), it can be concluded that the relationship between the coupling capacitance C M and the phase shift angle θ is:
耦合电容CM与原边谐振电压Vp和副边谐振电压Vs满足关系如下:The coupling capacitance C M has the following relationship with the primary resonant voltage V p and the secondary resonant voltage V s :
式中:k3=Cs,Vs为副边谐振网络电压,Vp为原边谐振网络电压,Cs为副边谐振网络的等效电容,Ls为副边谐振网络的等效电感,Rs为副边谐振网络的等效电阻,RLeq为等效输出电阻;In the formula: k 3 =C s , V s is the voltage of the secondary resonant network, V p is the voltage of the primary resonant network, C s is the equivalent capacitance of the secondary resonant network, L s is the equivalent inductance of the secondary resonant network, R s is the equivalent resistance of the secondary resonant network, R Leq is the equivalent output resistance;
通过公式(7)和(8)可以看出,只要检测谐振网络的原边谐振电压Vp和副边谐振电压Vs,就能够计算出耦合电容CM,当负载电阻RL确定、当耦合电容CM实时变化时,可以通过实时调节全桥整流电路的移相角θ使得公式(7)恒成立,结合发射端谐振网络频率实时调节从而获得最大电能传输效率。It can be seen from formulas (7) and (8) that as long as the primary side resonance voltage V p and the secondary side resonance voltage V s of the resonant network are detected, the coupling capacitance C M can be calculated. When the load resistance R L is determined and the coupling When the capacitance C M changes in real time, the phase shift angle θ of the full-bridge rectifier circuit can be adjusted in real time to make formula (7) always true. Combined with the real-time adjustment of the frequency of the resonant network at the transmitter, the maximum power transmission efficiency can be obtained.
本发明的有益效果是,(1)本发明的耦合电容式水下无线电能传输系统无涡流损耗且对周围金属不敏感,其非常适合水下无线充电场景,且可以大功率、高效率运行;(2)在动态的水下环境中,可以为水下设备进行稳定的充电。采用基于导电水介质(包括海水介质)的耦合电容模型实现最大电能传输效率跟踪,从而实现系统的最大能量传输效率;(3)耦合电容式水下无线电能传输系统仅仅采用金属板就可以实现对水下设备的充电,其可以很大程度上降低水下无线电能传输系统的成本;(4)本发明的所提出的最大效率跟踪方法,可以广泛的应用于水下无线充电领域或者其他领域,拓宽水下设备的带电运行时间以及工作范围。The beneficial effects of the present invention are: (1) The coupled capacitive underwater wireless power transmission system of the present invention has no eddy current loss and is insensitive to surrounding metals. It is very suitable for underwater wireless charging scenarios and can operate with high power and high efficiency; (2) In a dynamic underwater environment, underwater equipment can be charged stably. The coupling capacitance model based on conductive water media (including seawater media) is used to track the maximum power transmission efficiency, thereby achieving the maximum energy transmission efficiency of the system; (3) The coupling capacitive underwater wireless power transmission system can achieve the maximum power transmission efficiency using only metal plates. Charging of underwater equipment can greatly reduce the cost of underwater wireless power transmission systems; (4) the maximum efficiency tracking method proposed by the present invention can be widely used in the field of underwater wireless charging or other fields, Expand the live operation time and working range of underwater equipment.
附图说明Description of the drawings
图1是本发明所应用的一种电场耦合式水下无线电能传输系统拓扑;Figure 1 is an electric field coupled underwater wireless power transmission system topology applied in the present invention;
图2是本发明的所使用的耦合电容拓扑的等效电路;Figure 2 is an equivalent circuit of the coupling capacitor topology used in the present invention;
图3本发明所涉及无线电能传输单元的等效电路。Figure 3 is the equivalent circuit of the wireless power transmission unit involved in the present invention.
具体实施方式Detailed ways
下面结合附图和具体实施方式对本发明进行详细说明。The present invention will be described in detail below with reference to the drawings and specific embodiments.
本发明提出一种用于自主水下航行器的电场耦合式无线电能传输系统。电场耦合式无线电能传输系统具一定的抑制充电耦合单元横向偏移或者错位所带来的充电功率不稳定的能力。因此,在动态的海水环境中,可以实现自主航行器锂电池稳定的充电过程。采用基于电场耦合式无线电能传输系统的最大电能传输效率跟踪实现最大能量传输效率。所采用的电场耦合式无线传输系统的拓扑结构如图1所示(图中所采用的简单的谐振网络电路,本发明专利同样适用于其他拓扑)。The invention proposes an electric field coupling wireless power transmission system for autonomous underwater vehicles. The electric field coupling wireless power transmission system has a certain ability to suppress charging power instability caused by lateral offset or misalignment of the charging coupling unit. Therefore, in a dynamic seawater environment, a stable charging process of autonomous vehicle lithium batteries can be achieved. The maximum energy transmission efficiency is achieved by tracking the maximum power transmission efficiency based on the electric field coupling wireless power transmission system. The topological structure of the electric field coupling wireless transmission system used is shown in Figure 1 (the simple resonant network circuit used in the figure, the patent of this invention is also applicable to other topologies).
无线电能传输系统最大效率跟踪是实现对海下有限电能有效利用的关键技术。本发明专利根据海水耦合电容模型对电场耦合式海下无线电能传输系统的最大效率跟踪策略进行研究,其内容包括:根据电场耦合式无线电能传输系统建立等效电路。基于等效电路推导最大电能传输效率情况下等效输出电阻模型。计算最大电能传输效率情况下,等效输出电阻和耦合电容之间的关系从而通过间接调节耦合电容实现最大电能效率跟踪算法。结合控制模块和海水耦合电容模型,建立最大效率跟踪控制策略,从而实现对耦合电容式海下无线电能传输系统的最大效率跟踪。Maximum efficiency tracking of wireless power transmission systems is a key technology to achieve effective utilization of limited power under the sea. The patent of this invention studies the maximum efficiency tracking strategy of the electric field coupled underwater wireless power transmission system based on the seawater coupling capacitance model. The content includes: establishing an equivalent circuit based on the electric field coupled wireless power transmission system. The equivalent output resistance model under the maximum power transmission efficiency is derived based on the equivalent circuit. Under the condition of calculating the maximum power transmission efficiency, the relationship between the equivalent output resistance and the coupling capacitance is used to achieve the maximum power efficiency tracking algorithm by indirectly adjusting the coupling capacitance. Combining the control module and the seawater coupling capacitance model, a maximum efficiency tracking control strategy is established to achieve maximum efficiency tracking of the coupled capacitive underwater wireless power transmission system.
本发明电场耦合式水下无线电能传输系统最大效率跟踪方法,具体按照以下步骤实施:The maximum efficiency tracking method of the electric field coupled underwater wireless power transmission system of the present invention is specifically implemented according to the following steps:
步骤1、建立电场耦合式水下无线电能传输系统的耦合电容模型,如图1所示,实现对基于水介质的耦合电容的模拟;Step 1. Establish a coupling capacitance model of the electric field coupling underwater wireless power transmission system, as shown in Figure 1, to simulate the coupling capacitance based on water media;
步骤2、构造电场耦合式水下无线电能传输系统的无线电能传输单元的等效电路模型,从而计算最大能量传输效率情况下等效输出电阻,寻找最大能量传输效率情况下等效输出电阻和耦合电容之间的关系,从而通过检测耦合电容值构建最大能量传输效率;Step 2. Construct an equivalent circuit model of the wireless power transmission unit of the electric field coupled underwater wireless power transmission system to calculate the equivalent output resistance under the maximum energy transmission efficiency and find the equivalent output resistance and coupling under the maximum energy transmission efficiency. The relationship between capacitances, thereby constructing the maximum energy transfer efficiency by detecting the coupling capacitance value;
步骤3、通过所检测到的耦合电容值实时调整发射端全桥逆变电路的开关频率和接收端全桥整流电路的移相角,从而实现无线电能传输系统的最大能量传输效率跟踪。Step 3. Use the detected coupling capacitance value to adjust the switching frequency of the full-bridge inverter circuit at the transmitting end and the phase shift angle of the full-bridge rectifier circuit at the receiving end in real time, thereby achieving tracking of the maximum energy transfer efficiency of the wireless power transmission system.
其中,如图2、图3所示,步骤1中电场耦合式水下无线电能传输系统的耦合电容模型具体结构为:包括通过耦合电容连接的全桥逆变电路和全桥整流电路,全桥逆变电路中,Vin为无线电能传输系统电源,S11~S14为全桥逆变电路四个功率开关管,其中S11和S14组成一个桥臂,S12和S13组成一个桥臂;Among them, as shown in Figure 2 and Figure 3, the specific structure of the coupling capacitor model of the electric field coupled underwater wireless power transmission system in step 1 is: including a full-bridge inverter circuit and a full-bridge rectifier circuit connected through the coupling capacitor. In the inverter circuit, Vin is the power supply of the wireless power transmission system, S 11 ~ S 14 are the four power switch tubes of the full-bridge inverter circuit, among which S 11 and S 14 form a bridge arm, and S 12 and S 13 form a bridge arm. ;
耦合电容中,P1~P4为构成耦合电容的四块金属板,其中,P1和P4为发射端金属板,P2和P3为接收端金属板;In the coupling capacitor, P 1 ~ P 4 are the four metal plates that constitute the coupling capacitor. Among them, P 1 and P 4 are the transmitting end metal plates, and P 2 and P 3 are the receiving end metal plates;
全桥整流电路中,S21~S24为全桥整流电路的四个功率开关管,其中,S21和S24组成一个桥臂,S22和S23组成一个桥臂;In the full-bridge rectifier circuit, S 21 to S 24 are the four power switch tubes of the full-bridge rectifier circuit. Among them, S 21 and S 24 form a bridge arm, and S 22 and S 23 form a bridge arm;
LP为原边谐振网络的谐振电感,谐振电感LP连接于功率开关管S11和发射端金属板P1之间,LS为副边谐振网络的谐振电感,谐振电感LS连接于接收端金属板P2和功率开关管S21之间;L P is the resonant inductance of the primary side resonant network. The resonant inductor L P is connected between the power switch tube S 11 and the transmitting end metal plate P 1 . L S is the resonant inductance of the secondary side resonant network. The resonant inductor L S is connected to the receiving end. Between the terminal metal plate P 2 and the power switch tube S 21 ;
整个结构由电池Vbattery供电。The entire structure is powered by the battery V battery .
步骤2中耦合电容的等效电路具体如下:The equivalent circuit of the coupling capacitor in step 2 is as follows:
设耦合电容原边的等效电容为CP,等效电压为VP,等效电流为IP;将耦合电容的原边等效为一个电流源,等效电流源的电流为I=jωCMVS,设耦合电容的副边等效电容为CS,等效电压为VS,等效电流为IS,将耦合电容的副边等效为一个电流源等效电流源电流为I=jωCMVP;Assume that the equivalent capacitance of the primary side of the coupling capacitor is C P , the equivalent voltage is VP , and the equivalent current is I P ; the primary side of the coupling capacitor is equivalent to a current source, and the current of the equivalent current source is I = jωC M V S , assuming that the equivalent capacitance of the secondary side of the coupling capacitor is C S , the equivalent voltage is V S , and the equivalent current is I S , the secondary side of the coupling capacitor is equivalent to a current source and the equivalent current source current is I = jωC M V P ;
电容耦合系数kc和耦合电容CM存在的关系用下面的公式表示为:The relationship between the capacitive coupling coefficient k c and the coupling capacitance C M is expressed by the following formula:
步骤2中电容式水下无线电能传输系统的无线电能传输单元的等效电路模型具体如下:The equivalent circuit model of the wireless power transmission unit of the capacitive underwater wireless power transmission system in step 2 is as follows:
包括无线电能传输系统电源Us,原边谐振网络的等效电压VP,原边谐振网络等效电感LP,原边谐振网络等效电阻RP,原边谐振网络等效电阻CP,等效电流源的电流为I=jωCMVS;Including the wireless power transmission system power supply Us, the equivalent voltage VP of the primary resonant network, the equivalent inductance LP of the primary resonant network, the equivalent resistance R P of the primary resonant network, the equivalent resistance C P of the primary resonant network, etc. The current of the effective current source is I=jωC M V S ;
设副边谐振网络的等效电压VS,副边谐振网络的等效电阻RS,副边谐振网络的等效电感LS,副边谐振网络的等效电容CS,等效输出电阻RLeq,则:Assume the equivalent voltage V S of the secondary resonant network, the equivalent resistance R S of the secondary resonant network, the equivalent inductance L S of the secondary resonant network, the equivalent capacitance C S of the secondary resonant network, and the equivalent output resistance R Leq , then:
电场耦合式无线电能传输最大电能传输效率满足公式:The maximum power transmission efficiency of electric field coupled wireless power transmission satisfies the formula:
令α=[jωCpCs-jω(CM)2],β=(jωLs+Rs)[jωCpCs-jω(CM)2]+Cp,γ=β2Rp+(CM)2Rs,α、β、r为中间替换量;Let α=[jωC p C s -jω(C M ) 2 ], β=(jωL s +R s )[jωC p C s -jω(C M ) 2 ]+C p , γ=β 2 R p + (C M ) 2 R s , α, β, r are intermediate substitution amounts;
公式(3)化简得:Formula (3) is simplified to:
其中,CM为耦合电容,RLeq为等效输出电阻,Rp为原边谐振网络的等效电阻;Among them, C M is the coupling capacitance, R Leq is the equivalent output resistance, and R p is the equivalent resistance of the primary resonant network;
公式(4)为电场耦合式无线电能传输系统的最大电能传输效率公式;Formula (4) is the formula for the maximum power transmission efficiency of the electric field coupling wireless power transmission system;
对公式(4)中的等效输出电阻RLeq求导,在最大电能传输效率情况下,Derive the equivalent output resistance R Leq in formula (4). Under the condition of maximum power transmission efficiency,
等效输出电阻RLeq表示为:The equivalent output resistance R Leq is expressed as:
其中,Rp为原边谐振网络的等效电阻,CM为耦合电容,Rs为副边谐振网络的等效电阻。Among them, R p is the equivalent resistance of the primary side resonant network, C M is the coupling capacitance, and R s is the equivalent resistance of the secondary side resonant network.
步骤3具体如下:Step 3 is detailed as follows:
设所述步骤1中电场耦合式水下无线电能传输系统的耦合电容模型中接收端全桥整流电路移相角为θ,负载电阻RL和等效输出电阻RLeq之间的关系表示为:Assume that the phase shift angle of the full-bridge rectifier circuit at the receiving end in the coupling capacitor model of the electric field coupled underwater wireless power transmission system in step 1 is θ, and the relationship between the load resistance R L and the equivalent output resistance R Leq is expressed as:
结合公式(5)和(6),得出在最大电能传输功率情况下,耦合电容CM和移相角θ的关系为:Combining formulas (5) and (6), it can be concluded that the relationship between the coupling capacitance C M and the phase shift angle θ is:
耦合电容CM与原边谐振电压Vp和副边谐振电压Vs满足关系如下:The coupling capacitance C M has the following relationship with the primary resonant voltage V p and the secondary resonant voltage V s :
式中:k3=Cs,Vs为副边谐振网络电压,Vp为原边谐振网络电压,Cs为副边谐振网络的等效电容,Ls为副边谐振网络的等效电感,Rs为副边谐振网络的等效电阻,RLeq为等效输出电阻;In the formula: k 3 =C s , V s is the voltage of the secondary resonant network, V p is the voltage of the primary resonant network, C s is the equivalent capacitance of the secondary resonant network, L s is the equivalent inductance of the secondary resonant network, R s is the equivalent resistance of the secondary resonant network, R Leq is the equivalent output resistance;
通过公式(7)和(8)可以看出,只要检测谐振网络的原边谐振电压Vp和副边谐振电压Vs,就能够计算出耦合电容CM,当负载电阻RL确定、当耦合电容CM实时变化时,可以通过实时调节全桥整流电路的移相角θ使得公式(7)恒成立,结合发射端谐振网络频率实时调节从而获得最大电能传输效率。It can be seen from formulas (7) and (8) that as long as the primary side resonance voltage V p and the secondary side resonance voltage V s of the resonant network are detected, the coupling capacitance C M can be calculated. When the load resistance R L is determined and the coupling When the capacitance C M changes in real time, the phase shift angle θ of the full-bridge rectifier circuit can be adjusted in real time to make formula (7) always true. Combined with the real-time adjustment of the frequency of the resonant network at the transmitter, the maximum power transmission efficiency can be obtained.
本发明提出电场耦合式水下无线电能传输系统最大效率跟踪方法,该方法可以实现在动态的水下环境中无线电能传输系统的稳定和高效运行。The present invention proposes a maximum efficiency tracking method for an electric field coupled underwater wireless power transmission system, which can achieve stable and efficient operation of the wireless power transmission system in a dynamic underwater environment.
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