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CN105914831B - Magnetic coupling resonant radio energy transmission system parameters design method based on SS topologys - Google Patents

Magnetic coupling resonant radio energy transmission system parameters design method based on SS topologys Download PDF

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CN105914831B
CN105914831B CN201610340545.6A CN201610340545A CN105914831B CN 105914831 B CN105914831 B CN 105914831B CN 201610340545 A CN201610340545 A CN 201610340545A CN 105914831 B CN105914831 B CN 105914831B
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CN105914831A (en
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王跃
蒋勇斌
刘铭
刘军文
宁改娣
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Xian Jiaotong University
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Abstract

本发明公开了一种基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法,为了解决传统的两段式充电峰值功率过大的问题,该方法在蓄电池恒流充电向恒压充电切换时,引入恒功率充电阶段;同时为确保系统安全运行和传输的高效率,对原边谐振网络的输入电流和逆变器的移相角进行限制,利用这三个充电阶段以及安全运行范围分别限定两耦合线圈电感的参数关系,从而确定两耦合线圈电感的取值范围,为谐振网络参数设计提供了一种可靠的设计准则,确保了蓄电池充电过程的安全高效性。本发明满足了磁耦合谐振式无线电能传输系统用于蓄电池全范围充电的需求。

The invention discloses a parameter design method of a magnetic coupling resonant wireless power transmission system based on SS topology. In order to solve the problem of excessive peak power of the traditional two-stage charging, the method switches from constant current charging to constant voltage charging of a battery. The constant power charging stage is introduced; at the same time, in order to ensure the safe operation of the system and the high transmission efficiency, the input current of the primary side resonant network and the phase shift angle of the inverter are limited, and the three charging stages and the safe operation range are used to limit two The parameter relationship of the coupling coil inductance is determined to determine the value range of the two coupling coil inductances, which provides a reliable design criterion for the design of the resonant network parameters and ensures the safety and efficiency of the battery charging process. The invention satisfies the requirement that the magnetic coupling resonant wireless power transmission system is used for full-range charging of storage batteries.

Description

基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法Parameter Design Method of Magnetically Coupled Resonant Wireless Power Transfer System Based on SS Topology

技术领域technical field

本发明涉及一种磁耦合谐振无线电能传输系统参数设计方法,具体涉及一种基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法。The invention relates to a parameter design method of a magnetic coupling resonance wireless power transmission system, in particular to a parameter design method of a magnetic coupling resonance wireless power transmission system based on SS topology.

背景技术Background technique

无线电能传输技术依照其实现原理可分为近场与远场两大类。近场技术易于实现更高的效率和更大的功率,因而被广泛的应用于电动汽车、智能设备、机器人、无人机、植入式医疗等设备的无线充电,而近场技术中的磁耦合谐振技术能够更好地满足性能要求。在对常用的蓄电池进行充电时,无线充电机对其充电特性有以下几个需求:According to its realization principle, wireless power transmission technology can be divided into two categories: near field and far field. Near-field technology is easy to achieve higher efficiency and greater power, so it is widely used in wireless charging of electric vehicles, smart devices, robots, drones, implanted medical equipment, etc., and the magnetic field in near-field technology Coupled resonant technology can better meet performance requirements. When charging commonly used batteries, wireless chargers have the following requirements for their charging characteristics:

1)恒定的充电电流。蓄电池充电过程的第一阶段是恒流充电,充电器以最大的电流对蓄电池进行恒流充电,蓄电池充电电压逐渐上升。1) Constant charging current. The first stage of the battery charging process is constant current charging. The charger charges the battery with a constant current at the maximum current, and the charging voltage of the battery gradually rises.

2)恒定的最大充电功率。蓄电池充电过程的第二阶段是功率充电,充电器以最大的功率对蓄电池进行恒功率充电,蓄电池充电电压逐渐上升。2) Constant maximum charging power. The second stage of the battery charging process is power charging. The charger charges the battery with a constant power at the maximum power, and the charging voltage of the battery gradually rises.

3)恒定的充电电压。蓄电池充电过程的第三阶段是恒压充电,充电器以最大的电压对蓄电池进行恒压充电,蓄电池充电电流逐渐减小直至浮充状态。3) Constant charging voltage. The third stage of the battery charging process is constant voltage charging. The charger charges the battery at a constant voltage with the maximum voltage, and the charging current of the battery gradually decreases until it reaches the floating charge state.

4)安全的运行电流。对整个无线电能传输系统而言,为确保系统安全运行,需对输入电流设置安全上限。4) Safe operating current. For the entire wireless power transfer system, in order to ensure the safe operation of the system, it is necessary to set a safe upper limit for the input current.

5)合理的总谐波畸变率(THD)。为确保无线电能传输系统原边逆变器输出方波的THD值不至于过大以及获得较高的传输效率,需对前级逆变器的移相角设置下限。5) Reasonable total harmonic distortion (THD). In order to ensure that the THD value of the square wave output by the primary inverter of the wireless power transfer system is not too large and to obtain high transmission efficiency, it is necessary to set a lower limit for the phase shift angle of the front-end inverter.

由于对蓄电池进行充电时原副边线圈位置已固定,故在整个充电过程中可将系统两谐振线圈的耦合系数视为定值,且蓄电池在充电过程中电压电流随时间不断变化,故可将其充电过程视为一个随时间变化的可变电阻,在无线电能传输过程中负载电阻的变化将对系统的各项输出特性产生影响,同时为实现安全运行的要求,需要一套合理的谐振网络的参数使无线电能传输系统在以上三种不同的充电状态下满足相应的输出特性以及安全要求。然而目前的参数设计方法仅针对固定的负载电阻或根据经验选取谐振网络参数,尚未有将蓄电池的上述充电特性结合起来的参数设计方法的论述。Since the position of the primary and secondary coils is fixed when charging the battery, the coupling coefficient of the two resonant coils of the system can be regarded as a constant value during the entire charging process, and the voltage and current of the battery change with time during the charging process, so the The charging process is regarded as a variable resistance that changes with time. During the wireless power transmission process, the change of the load resistance will affect the output characteristics of the system. At the same time, in order to achieve the requirements of safe operation, a reasonable resonant network is required. The parameters enable the wireless power transfer system to meet the corresponding output characteristics and safety requirements in the above three different charging states. However, the current parameter design method is only for a fixed load resistance or selection of resonant network parameters based on experience, and there is no discussion of a parameter design method that combines the above charging characteristics of the battery.

因此,需要一种能够满足蓄电池充电特性以及安全要求的参数设计方法。Therefore, there is a need for a parameter design method that can meet the battery charging characteristics and safety requirements.

发明内容Contents of the invention

本发明的目的在于克服上述现有技术的缺点,提供了一种基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法,可满足蓄电池三段式充电特点及安全要求。The purpose of the present invention is to overcome the above-mentioned shortcomings of the prior art, and provide a parameter design method of a magnetic coupling resonant wireless power transmission system based on SS topology, which can meet the characteristics and safety requirements of three-stage battery charging.

为达到上述目的,本发明所述的基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法包括以下步骤:In order to achieve the above object, the SS topology-based magnetic coupling resonant wireless power transmission system parameter design method of the present invention includes the following steps:

在蓄电池恒流充电阶段,以谐振网络的最小互导增益为谐振网络中耦合线圈电感的第一边界条件;在蓄电池恒压充电阶段,以谐振网络的最小电压增益为谐振网络中耦合线圈电感的第二边界条件;在蓄电池恒流充电阶段向恒压充电阶段过渡的过程中,即在蓄电池恒功率充电阶段,以大于等于谐振网络的额定功率为谐振网络中耦合线圈电感的第三边界条件,在蓄电池整个充电过程中,以谐振网络的输入电流小于等于谐振网络的安全电流为谐振网络中耦合线圈电感的第四边界条件;在整个充电过程中逆变器进行移相调压时的移相角大于等于预设值以谐振网络的最大电压增益与谐振网络的最大互导增益为谐振网络中耦合线圈电感的第五边界条件,将谐振网络中耦合线圈电感的第一边界条件、第二边界条件、第三边界条件、第四边界条件及第五边界条件交集作为谐振网络中耦合线圈电感值的取值范围。In the battery constant current charging stage, the minimum mutual conductance gain of the resonant network is the first boundary condition of the coupling coil inductance in the resonant network; in the battery constant voltage charging stage, the minimum voltage gain of the resonant network is the coupling coil inductance in the resonant network The second boundary condition; during the transition from the constant current charging stage of the battery to the constant voltage charging stage, that is, in the constant power charging stage of the battery, the third boundary condition of the coupling coil inductance in the resonant network is greater than or equal to the rated power of the resonant network, During the entire charging process of the battery, the fourth boundary condition of the coupling coil inductance in the resonant network is that the input current of the resonant network is less than or equal to the safe current of the resonant network; Angle is greater than or equal to the default value Taking the maximum voltage gain of the resonant network and the maximum mutual conductance gain of the resonant network as the fifth boundary condition of the coupled coil inductance in the resonant network, the first boundary condition, the second boundary condition and the third boundary condition of the coupled coil inductance in the resonant network The intersection of the fourth boundary condition and the fifth boundary condition is used as the value range of the inductance value of the coupling coil in the resonant network.

谐振网络中耦合线圈电感的第一边界条件为:谐振网络的互导增益大于等于蓄电池恒流充电时谐振网络中副边的谐振电流有效值与逆变器输出交流基波电压有效值之比,蓄电池的最大充电电流由蓄电池本身特性决定,逆变器的输出交流基波电压有效值由直流侧输入电压与逆变器移相角确定。The first boundary condition of the coupling coil inductance in the resonant network is: the mutual conductance gain of the resonant network is greater than or equal to the ratio of the effective value of the resonant current of the secondary side in the resonant network to the effective value of the AC fundamental wave voltage output by the inverter when the battery is charged with constant current, The maximum charging current of the battery is determined by the characteristics of the battery itself, and the effective value of the output AC fundamental wave voltage of the inverter is determined by the input voltage of the DC side and the phase shift angle of the inverter.

谐振网络中耦合线圈电感的第二边界条件为:谐振网络的电压增益大于等于蓄电池恒压充电时整流器桥臂中点电压基波有效值与逆变器输出交流基波电压有效值之比,蓄电池的最大充电电压由蓄电池本身特性决定。The second boundary condition of the coupling coil inductance in the resonant network is: the voltage gain of the resonant network is greater than or equal to the ratio of the effective value of the fundamental voltage of the midpoint voltage of the rectifier bridge arm to the effective value of the AC fundamental voltage output by the inverter when the battery is charged at a constant voltage. The maximum charging voltage is determined by the characteristics of the battery itself.

谐振网络中耦合线圈电感的第三边界条件具体为:谐振网络的的输出功率大于等于蓄电池的额定功率。The third boundary condition of the coupling coil inductance in the resonant network is specifically: the output power of the resonant network is greater than or equal to the rated power of the battery.

蓄电池充电过程中,谐振网络的互阻增益大于等于整流器桥臂中点电压基波有效值与谐振网络中原边的谐振电流之比,谐振网络中原边的谐振电流的最大值由系统电流限幅值决定。During the charging process of the battery, the mutual resistance gain of the resonant network is greater than or equal to the ratio of the effective value of the fundamental voltage of the bridge arm midpoint of the rectifier to the resonant current of the primary side in the resonant network, and the maximum value of the resonant current of the primary side in the resonant network is determined by the system current limit value Decide.

当逆变器移相角最小时,谐振网络的电压增益小于等于整流器桥臂中点电压基波有效值与逆变器输出交流基波电压有效值之比,谐振网络的互导增益小于等于谐振网络中副边的谐振电流与逆变器输出交流基波电压有效值的最小值之比。When the phase shift angle of the inverter is the smallest, the voltage gain of the resonant network is less than or equal to the ratio of the effective value of the fundamental wave voltage at the midpoint of the rectifier bridge arm to the effective value of the AC fundamental wave voltage output by the inverter, and the mutual conductance gain of the resonant network is less than or equal to the resonance The ratio of the resonant current on the secondary side of the network to the minimum value of the effective value of the AC fundamental wave voltage output by the inverter.

本发明具有以下有益效果:The present invention has the following beneficial effects:

本发明所述的基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法在具体操作时,通过获取蓄电池不同充电阶段中谐振网络中耦合线圈电感的边界条件,同时获取蓄电池整个充电过程中谐振网络中耦合线圈电感的边界条件,再以各边界条件的交集作为中耦合线圈电感值的取值范围,从而将系统的输出特性与蓄电池的充电特性结合起来,同时在蓄电池的恒流充电阶段与恒压充电阶段增加恒功率充电阶段,即增加以大于等于谐振网络的额定功率为谐振网络中耦合线圈电感的第三边界条件,同时对谐振网络的输入电流及逆变器进行移相调压时的移相角进行限定。在所有限定条件满足下,选择合适的耦合电感值,从而满足蓄电池的充电特点及安全要求。The parameter design method of the SS topology-based magnetically coupled resonant wireless power transmission system described in the present invention, during specific operation, obtains the boundary conditions of the coupling coil inductance in the resonant network in different charging stages of the battery, and at the same time obtains the resonant network in the entire charging process of the battery The boundary conditions of the inductance of the middle coupling coil, and then the intersection of the boundary conditions is used as the value range of the inductance of the middle coupling coil, so as to combine the output characteristics of the system with the charging characteristics of the battery. The constant power charging stage is added to the voltage charging stage, that is, the third boundary condition of the coupling coil inductance in the resonant network is added with the rated power greater than or equal to the resonant network, and at the same time, the input current of the resonant network and the phase-shift voltage regulation of the inverter are added. The phase shift angle is limited. When all the limiting conditions are met, select the appropriate coupling inductance value to meet the charging characteristics and safety requirements of the battery.

附图说明Description of drawings

图1为本发明中原边串联副边串联的磁耦合谐振无线电能传输系统的结构图;Fig. 1 is a structural diagram of a magnetically coupled resonant wireless power transmission system in which the primary side is connected in series with the secondary side in series in the present invention;

图2(a)为理想蓄电池充电曲线图;Figure 2(a) is an ideal battery charging curve;

图2(b)为受最大功率限制的蓄电池充电曲线图;Figure 2(b) is a battery charging curve limited by the maximum power;

图3(a)谐振网络的互导增益在耦合系数一定时随逆变器的开关频率标幺值的变化图;Fig. 3(a) The transconductance gain of the resonant network varies with the per unit value of the switching frequency of the inverter when the coupling coefficient is constant;

图3(b)为谐振网络的电压增益在耦合系数一定时随逆变器的开关频率标幺值的变化图;Figure 3(b) is a diagram showing the change of the voltage gain of the resonant network with the per unit value of the switching frequency of the inverter when the coupling coefficient is constant;

图3(c)为谐振网络的输出功率在等效电阻一定时随逆变器的开关频率标幺值的变化图;Figure 3(c) is a diagram showing the change of the output power of the resonant network with the per unit value of the switching frequency of the inverter when the equivalent resistance is constant;

图3(d)为谐振网络的互阻增益在耦合系数一定时随逆变器的开关频率标幺值的变化图;Figure 3(d) is a diagram showing the change of the mutual resistance gain of the resonant network with the per unit value of the switching frequency of the inverter when the coupling coefficient is constant;

图4为实施例一中得到的耦合电感值的边界条件图;Fig. 4 is the boundary condition diagram of the coupling inductance value obtained in embodiment one;

图5(a)为在A点进行恒流充电时充电电压、充电电流以及充电功率在稳态时随时间变化的曲线图;Fig. 5(a) is a curve diagram of charging voltage, charging current and charging power changing with time in a steady state when constant current charging is performed at point A;

图5(b)为在B点进行恒功率充电时充电电压、充电电流以及充电功率在稳态时随时间变化的曲线图;Fig. 5(b) is a curve diagram of charging voltage, charging current and charging power changing with time in steady state when constant power charging is performed at point B;

图5(c)为在C点进行恒功率充电时充电电压、充电电流以及充电功率在稳态时随时间变化的曲线图;Fig. 5(c) is a curve diagram of charging voltage, charging current and charging power changing with time in a steady state when constant power charging is performed at point C;

图5(d)为在D点进行恒压充电时充电电压、充电电流以及充电功率在稳态时随时间变化的曲线图。FIG. 5( d ) is a graph showing the time-varying curves of charging voltage, charging current, and charging power in a steady state when constant voltage charging is performed at point D. FIG.

具体实施方式Detailed ways

下面结合附图对本发明做进一步详细描述:The present invention is described in further detail below in conjunction with accompanying drawing:

本发明所述的基于SS拓扑的磁耦合谐振无线电能传输系统参数设计方法包括以下步骤:The parameter design method of the magnetic coupling resonant wireless power transmission system based on the SS topology of the present invention comprises the following steps:

在蓄电池恒流充电阶段,以谐振网络的最小互导增益为谐振网络中耦合线圈电感的第一边界条件;在蓄电池恒压充电阶段,以谐振网络的最小电压增益为谐振网络中耦合线圈电感的第二边界条件;在蓄电池恒流充电阶段向恒压充电阶段过渡的过程中,即在蓄电池恒功率充电阶段,以大于等于谐振网络的额定功率为谐振网络中耦合线圈电感的第三边界条件,在蓄电池整个充电过程中,以谐振网络的输入电流小于等于谐振网络的安全电流为谐振网络中耦合线圈电感的第四边界条件;在整个充电过程中逆变器进行移相调压时的移相角大于等于预设值π/4,以谐振网络的最大电压增益与谐振网络的最大互导增益为谐振网络中耦合线圈电感的第五边界条件,将谐振网络中耦合线圈电感的第一边界条件、第二边界条件、第三边界条件、第四边界条件及第五边界条件交集作为谐振网络中耦合线圈电感值的取值范围。In the battery constant current charging stage, the minimum mutual conductance gain of the resonant network is the first boundary condition of the coupling coil inductance in the resonant network; in the battery constant voltage charging stage, the minimum voltage gain of the resonant network is the coupling coil inductance in the resonant network The second boundary condition; during the transition from the constant current charging stage of the battery to the constant voltage charging stage, that is, in the constant power charging stage of the battery, the third boundary condition of the coupling coil inductance in the resonant network is greater than or equal to the rated power of the resonant network, During the entire charging process of the battery, the fourth boundary condition of the coupling coil inductance in the resonant network is that the input current of the resonant network is less than or equal to the safe current of the resonant network; The angle is greater than or equal to the preset value π/4, taking the maximum voltage gain of the resonant network and the maximum mutual conductance gain of the resonant network as the fifth boundary condition of the coupled coil inductance in the resonant network, and the first boundary condition of the coupled coil inductance in the resonant network The intersection of the second boundary condition, the third boundary condition, the fourth boundary condition and the fifth boundary condition is used as the value range of the inductance value of the coupling coil in the resonant network.

需要说明的是,谐振网络中耦合线圈电感的第一边界条件为:谐振网络的互导增益大于等于蓄电池恒流充电时谐振网络中副边的谐振电流有效值与逆变器输出交流基波电压有效值之比,蓄电池的最大充电电流由蓄电池本身特性决定,逆变器的输出交流基波电压有效值由直流侧输入电压与逆变器移相角确定;It should be noted that the first boundary condition of the coupling coil inductance in the resonant network is: the mutual conductance gain of the resonant network is greater than or equal to the effective value of the resonant current of the secondary side in the resonant network and the AC fundamental wave voltage output by the inverter when the battery is charged with a constant current. The ratio of the effective value, the maximum charging current of the battery is determined by the characteristics of the battery itself, and the effective value of the output AC fundamental wave voltage of the inverter is determined by the input voltage of the DC side and the phase shift angle of the inverter;

谐振网络中耦合线圈电感的第二边界条件为:谐振网络的电压增益大于等于蓄电池恒压充电时整流器桥臂中点电压基波有效值与逆变器输出交流基波电压有效值之比,蓄电池的最大充电电压由蓄电池本身特性决定;The second boundary condition of the coupling coil inductance in the resonant network is: the voltage gain of the resonant network is greater than or equal to the ratio of the effective value of the fundamental voltage of the midpoint voltage of the rectifier bridge arm to the effective value of the AC fundamental voltage output by the inverter when the battery is charged at a constant voltage. The maximum charging voltage is determined by the characteristics of the battery itself;

谐振网络中耦合线圈电感的第三边界条件具体为:谐振网络的输出功率大于等于蓄电池的额定功率;The third boundary condition of the coupling coil inductance in the resonant network is specifically: the output power of the resonant network is greater than or equal to the rated power of the battery;

蓄电池充电过程中,谐振网络的互阻增益大于等于整流器桥臂中点电压基波有效值与谐振网络中原边的谐振电流有效值之比,谐振网络中原边的谐振电流的最大值由系统电流限幅值决定,谐振网络的电压增益小于等于整流器桥臂中点电压基波有效值与逆变器输出交流基波电压有效值之比,谐振网络的互导增益小于等于谐振网络中副边的谐振电流与逆变器输出交流基波电压有效值的最小值之比,逆变器输出交流基波电压有效值的最小值由逆变器的最小移相角决定。During the charging process of the battery, the mutual resistance gain of the resonant network is greater than or equal to the ratio of the effective value of the fundamental voltage of the bridge arm midpoint of the rectifier to the effective value of the resonant current of the primary side in the resonant network, and the maximum value of the resonant current of the primary side in the resonant network is limited by the system current Determined by the amplitude, the voltage gain of the resonant network is less than or equal to the ratio of the effective value of the fundamental wave voltage at the midpoint of the rectifier bridge arm to the effective value of the AC fundamental wave voltage output by the inverter, and the mutual conductance gain of the resonant network is less than or equal to the resonance of the secondary side in the resonant network The ratio of the current to the minimum value of the effective value of the AC fundamental wave voltage output by the inverter, and the minimum value of the effective value of the AC fundamental wave voltage output by the inverter is determined by the minimum phase shift angle of the inverter.

本发明可同时满足对蓄电池进行充电时不同充电状态下的要求,所述蓄电池的充电阶段依次包括恒流充电阶段、恒功率充电阶段及恒压充电阶段。The invention can simultaneously meet the requirements of different charging states when charging the storage battery, and the charging stages of the storage battery successively include a constant current charging stage, a constant power charging stage and a constant voltage charging stage.

实施例一Embodiment one

参见图1,以250W小功率充电平台为例,前级80V理想电压源经过逆变器,将直流电逆变产生高频交流方波电压驱动发射侧谐振网络,发射侧谐振网络产生高频电磁场,接收侧谐振网络感应高频电磁场产生高频交流电压,在经过整流器整流后最终给蓄电池充电。Referring to Figure 1, taking the 250W low-power charging platform as an example, the ideal voltage source of 80V in the front stage passes through the inverter to invert the DC power to generate a high-frequency AC square wave voltage to drive the resonant network on the transmitting side. The resonant network on the transmitting side generates a high-frequency electromagnetic field. The resonant network on the receiving side induces a high-frequency electromagnetic field to generate a high-frequency AC voltage, which is finally charged to the battery after being rectified by a rectifier.

2(a)为理想蓄电池充电曲线图,蓄电池在A-B段进行恒流充电,充电电流保持不变,充电电压随时间逐渐上升,在B-C段进行恒压充电,充电电压保持不变,充电电流随时间逐渐减小,两种情况下蓄电池的等效电阻均逐渐增大;图2(b)为受最大功率限制的蓄电池充电曲线图:蓄电池在B-C段则进行恒功率充电,充电电压逐渐上升,充电电流逐渐下降,充电功率保持不变,等效电阻逐渐增大。2(a) is the ideal battery charging curve. The battery is charged with a constant current in section A-B, the charging current remains unchanged, and the charging voltage gradually increases with time. When charging at a constant voltage in section B-C, the charging voltage remains unchanged, and the charging current increases with time. The time gradually decreases, and the equivalent resistance of the battery increases gradually in both cases; Figure 2(b) shows the charging curve of the battery limited by the maximum power: the battery is charged at a constant power in the B-C section, and the charging voltage gradually rises. The charging current decreases gradually, the charging power remains constant, and the equivalent resistance increases gradually.

谐振网络的互导增益在耦合系数一定时随逆变器的开关频率标幺值的变化情况参见图3(a),谐振网络的互导增益在逆变器的开关频率等于谐振网络的谐振频率时保持恒定,即此时谐振网络的互导增益将不随负载电阻变化而变化,且当逆变器输出交流基波电压有效值和逆变器的开关频率一定时,谐振网络的互导增益仅与谐振网络中耦合线圈的电感值和原边线圈与副边线圈的耦合系数有关,从而得到满足要求互导增益时不同耦合系数下耦合线圈电感值的边界条件。The transconductance gain of the resonant network varies with the per unit value of the switching frequency of the inverter when the coupling coefficient is constant. See Figure 3(a). The frequency remains constant, that is, the mutual conductance gain of the resonant network will not change with the change of load resistance at this time, and when the effective value of the AC fundamental voltage output by the inverter and the switching frequency of the inverter are constant, the mutual conductance gain of the resonant network It is only related to the inductance value of the coupling coil in the resonant network and the coupling coefficient between the primary coil and the secondary coil, so as to obtain the boundary condition of the coupling coil inductance value under different coupling coefficients when the mutual conductance gain is required.

谐振网络的电压增益在耦合系数一定时随逆变器的开关频率标幺值的变化情况参见图3(b),谐振网络的电压增益在逆变器的开关频率为谐振网络的分叉频率时,谐振网络的电压增益将不随负载电阻变化而变化,且谐振网络的电压增益仅与耦合线圈的电感值有关,从而得到满足要求谐振网络的电压增益时耦合线圈电感值的边界条件。The change of the voltage gain of the resonant network with the per unit value of the switching frequency of the inverter when the coupling coefficient is constant is shown in Figure 3(b). , the voltage gain of the resonant network will not change with the change of load resistance, and the voltage gain of the resonant network is only related to the inductance value of the coupling coil, so that the boundary condition of the inductance value of the coupling coil when the voltage gain of the resonant network is satisfied is obtained.

谐振网络的输出功率在等效电阻一定时随逆变器的开关频率标幺值的变化情况参见图3(c),在逆变器的开关频率等于SS谐振网络的谐振频率时,谐振网络的输出功率随原边线圈与副边线圈的耦合系数的增大而减小,在蓄电池的恒功率充电阶段,在最大耦合系数条件下需使谐振网络的输出功率不小于蓄电池的额定充电功率,从而得到满足蓄电池要求的输出功率时耦合线圈电感值的边界条件。The output power of the resonant network changes with the per unit value of the switching frequency of the inverter when the equivalent resistance is constant. See Figure 3(c). When the switching frequency of the inverter is equal to the resonant frequency of the SS resonant network, the resonant network The output power decreases with the increase of the coupling coefficient between the primary coil and the secondary coil. In the constant power charging stage of the battery, under the condition of the maximum coupling coefficient, the output power of the resonant network must not be less than the rated charging power of the battery, so that The boundary condition of coupling coil inductance value is obtained when the output power required by the storage battery is met.

谐振网络的互阻增益在耦合系数一定时随逆变器的开关频率标幺值的变化情况参见图3(d),谐振网络的互阻增益在逆变器的开关频率等于SS谐振网络的谐振频率时,谐振网络的互阻增益不随负载电阻变化而变化,且当逆变器输出交流基波电压有效值和逆变器的开关频率恒定时,谐振网络的互阻增益仅与耦合线圈的电感值和原边线圈与副边线圈的耦合系数有关,从而得到满足要求的谐振网络的互阻增益时不同耦合系数下耦合线圈电感值的边界条件。Refer to Figure 3(d) for the change of the mutual resistance gain of the resonant network with the per unit value of the switching frequency of the inverter when the coupling coefficient is constant. The mutual resistance gain of the resonant network is equal to that of the SS resonant network when the switching frequency of the inverter is equal to At the resonant frequency, the mutual resistance gain of the resonant network does not change with the change of the load resistance, and when the effective value of the inverter output AC fundamental voltage and the switching frequency of the inverter are constant, the mutual resistance gain of the resonant network is only the same as that of the coupling coil The inductance value is related to the coupling coefficient of the primary coil and the secondary coil, so as to obtain the boundary condition of the coupling coil inductance value under different coupling coefficients when the mutual resistance gain of the resonant network meets the requirements.

为了说明本发明的有效性,利用表1的系统设计指标对SS拓扑磁耦合谐振的无线电能传输系统参数进行设计。In order to illustrate the effectiveness of the present invention, the system design indicators in Table 1 are used to design the parameters of the wireless power transmission system of SS topological magnetic coupling resonance.

表1Table 1

依照上述参数设计方法得到的耦合电感值的边界条件参见图4,点横线为在最大移相角与最小移相角满足电压增益条件时,原副边电感量需要满足的边界条件,副边电感量应在移相角为π的点横线之上以及移相角为的点横线之下;虚线为在不同耦合系数以及最大移相角与最小移相角下满足互导增益条件时,原副边电感量需要满足的边界条件,副边电感量应在互导增益上限虚线之下以及互导增益下限虚线之上;点线为在恒功率充电时两过渡点B和C满足额定功率条件时,原副边电感量需要满足的边界条件,副边电感量应在两点线之下;实线为系统在不同耦合系数下在不同工作点时满足互阻增益条件时,原副边电感量需要满足的边界条件,副边电感量应在三条实线之上。经过多个条件的约束从而可得:原边线圈电感量和副边线圈电感量的取值范围为图中阴影部分区域。The boundary conditions of the coupling inductance value obtained according to the above parameter design method are shown in Figure 4. The dotted horizontal line is the boundary condition that the primary and secondary inductance needs to satisfy when the maximum phase shift angle and the minimum phase shift angle meet the voltage gain condition. The inductance should be above the dotted horizontal line with a phase shift angle of π and the phase shift angle is The dotted line is below the dot horizontal line; the dotted line is the boundary condition that the primary and secondary inductance needs to satisfy when the mutual conductance gain condition is satisfied under different coupling coefficients and the maximum phase shift angle and the minimum phase shift angle. Below the dotted line of the upper limit of the gain and above the dotted line of the lower limit of the mutual conductance gain; the dotted line is the boundary condition that the primary and secondary inductance needs to satisfy when the two transition points B and C meet the rated power conditions during constant power charging, and the secondary inductance should be Below the two-point line; the solid line is the boundary condition that the primary and secondary side inductance needs to meet when the system meets the mutual resistance gain condition at different operating points under different coupling coefficients, and the secondary side inductance should be above the three solid lines . Through the constraints of multiple conditions, it can be obtained that the value range of the inductance of the primary coil and the inductance of the secondary coil is the shaded area in the figure.

依照图4的电感值取值范围选择原边电感L1为116.86μH、副边电感L2为116.86μH、原边电容C1为30nF、副边电容C2为30nF,在受最大功率限制的蓄电池充电曲线上,系统运行于A点进行恒压充电时参见图5(a),系统运行于B点和C点进行恒功率充电参见图5(b)和图5(c),系统运行于D点进行恒压充电参见图5(d)。According to the range of inductance values in Figure 4, the primary inductor L 1 is selected as 116.86μH, the secondary inductor L 2 is 116.86μH, the primary capacitor C 1 is 30nF, and the secondary capacitor C 2 is 30nF. On the charging curve of the battery, when the system operates at point A for constant voltage charging, refer to Figure 5(a), when the system operates at points B and C for constant power charging, refer to Figure 5(b) and Figure 5(c), and the system operates at See Figure 5(d) for constant voltage charging at point D.

Claims (3)

1. a kind of magnetic coupling resonant radio energy transmission system parameters design method based on SS topologys, which is characterized in that including Following steps:
In accumulator constant-current charging phase, using the minimum mutual conductance gain of resonant network as resonant network in coupling coil inductance One boundary condition;In accumulator constant voltage charging phase, using the minimum voltage gain of resonant network as resonant network in coupling coil The second boundary of inductance;In accumulator constant-current charging phase to during constant voltage charging phase transition, i.e., in accumulator The invariable power charging stage, using the rated power more than or equal to resonant network as resonant network in coupling coil inductance third boundary Condition, in the entire charging process of accumulator, the safe current that resonant network is less than or equal to the input current of resonant network is 4th boundary condition of coupling coil inductance in resonant network;Shifting in entire charging process when inverter progress phase-shift voltage regulating Phase angle is more than or equal to preset valueUsing the maximum voltage gain of resonant network and the maximum mutual conductance gain of resonant network as Resonance Neural Network 5th boundary condition of coupling coil inductance in network, by the First Boundary Condition of coupling coil inductance, the second side in resonant network Boundary's condition, third boundary condition, the 4th boundary condition and the 5th boundary condition intersection are as coupling coil inductance in resonant network The value range of value;
The First Boundary Condition of coupling coil inductance is in resonant network:It is permanent that the mutual conductance gain of resonant network is more than or equal to accumulator When current charge in resonant network secondary side the ratio between resonance current virtual value and inverter output AC fundamental voltage virtual value, electric power storage The maximum charging current in pond is determined that the output exchange fundamental voltage virtual value of inverter is defeated by DC side by accumulator self character Enter voltage to determine with inverter phase shifting angle;
The second boundary of coupling coil inductance is in resonant network:It is permanent that the voltage gain of resonant network is more than or equal to accumulator The ratio between rectifier bridge arm mid-point voltage fundamental wave virtual value and inverter output AC fundamental voltage virtual value when pressure charging, accumulator Maximum charging voltage determined by accumulator self character;
The third boundary condition of coupling coil inductance is specially in resonant network:The output power of resonant network, which is more than, is equal to resonance The rated power of network.
2. the magnetic coupling resonant radio energy transmission system parameters design method according to claim 1 based on SS topologys, It is characterized in that, in battery charging process, the mutual resistance gain of resonant network is more than or equal to rectifier bridge arm mid-point voltage fundamental wave The ratio between the resonance current of virtual value and primary side in resonant network, the maximum value of the resonance current of primary side is by system electricity in resonant network Ductility limit amplitude determines.
3. the magnetic coupling resonant radio energy transmission system parameters design method according to claim 1 based on SS topologys, It is characterized in that, when inverter phase shifting angle minimum, the voltage gain of resonant network is less than or equal to rectifier bridge arm mid-point voltage The mutual conductance gain of the ratio between fundamental wave virtual value and inverter output AC fundamental voltage virtual value, resonant network is less than or equal to Resonance Neural Network The ratio between the minimum value of the resonance current and inverter output AC fundamental voltage virtual value on secondary side in network.
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