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CN105005669B - IPT systematic parameter optimization methods based on frequency Bifurcation Characteristics - Google Patents

IPT systematic parameter optimization methods based on frequency Bifurcation Characteristics Download PDF

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CN105005669B
CN105005669B CN201510458270.1A CN201510458270A CN105005669B CN 105005669 B CN105005669 B CN 105005669B CN 201510458270 A CN201510458270 A CN 201510458270A CN 105005669 B CN105005669 B CN 105005669B
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primary side
value
switching frequency
compensation capacitor
ipt system
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CN105005669A (en
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唐春森
孙跃
王智慧
叶兆虹
苏玉刚
戴欣
柳林
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Chongqing Huachuang Intelligent Technology Research Institute Co ltd
Wang Zhihui
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Chongqing University
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Abstract

本发明提出了一种基于频率分岔特性的IPT系统参数优化方法,该方法通过交流阻抗分析法得到原边补偿电容初始值,然后再根据迭代运算及计算机仿真得到原边补偿电容优化值Cp,使得该IPT系统软开关频率分岔图为标准叉形分岔图,即存在频率不变区域,如此,只要保证该IPT系统的负载RL不超过在频率不变区域的负载范围,即可保证该IPT系统的软开关频率保持不变。该优化方法简单、直接、有效,能快速地得到原边补偿电容优化值Cp

The present invention proposes an IPT system parameter optimization method based on frequency bifurcation characteristics, the method obtains the initial value of the primary side compensation capacitor through the AC impedance analysis method , and then according to iterative calculation and computer simulation, the optimal value C p of the primary side compensation capacitor is obtained, so that the soft switching frequency bifurcation diagram of the IPT system is a standard fork bifurcation diagram, that is, there is a frequency-invariant region. In this way, as long as the IPT The load RL of the system does not exceed the load range in the frequency constant region, which can ensure that the soft switching frequency of the IPT system remains constant. The optimization method is simple, direct and effective, and can quickly obtain the optimal value C p of the primary side compensation capacitor.

Description

基于频率分岔特性的IPT系统参数优化方法Parameter Optimization Method of IPT System Based on Frequency Bifurcation Characteristics

技术领域technical field

本发明涉及感应电能传输(IPT)领域,具体涉及一种基于频率分岔特性的IPT系统参数优化方法。The invention relates to the field of inductive power transmission (IPT), in particular to an IPT system parameter optimization method based on frequency bifurcation characteristics.

背景技术Background technique

感应电能传输技术,简称为IPT技术,是一种基于电磁场近场松耦合感应原理,综合利用电力电子变换技术、磁场耦合技术以及控制理论,实现用电设备以非导线接触方式从电网获取能量的技术,广泛应用于城市电气化轨道交通、纯电动汽车、易燃易爆等特殊环境移动电气设备、新能源发电、石油钻探、无尾家电以及生物体内植电气设备等领域。Inductive power transfer technology, referred to as IPT technology, is based on the principle of electromagnetic field near-field loose coupling induction, and comprehensively utilizes power electronic conversion technology, magnetic field coupling technology and control theory to realize electrical equipment to obtain energy from the grid in a non-wire contact manner. It is widely used in urban electrified rail transit, pure electric vehicles, mobile electrical equipment in special environments such as flammable and explosive, new energy power generation, oil drilling, tailless household appliances, and electrical equipment implanted in organisms.

如图1所示,从系统结构上看,IPT系统包括原边和副边两个部分,原边通过谐振变换器在发射线圈上产生高频交变电流,副边能量接收线圈上感应到的电能经无功补偿和能量变换后输出给负载。结构的特殊性和复杂性导致系统呈现出典型的高阶非线性特性,从而引起复杂的动力学行为,增加了系统建模分析与控制的难度。As shown in Figure 1, from the perspective of system structure, the IPT system includes two parts, the primary side and the secondary side. The electric energy is output to the load after reactive power compensation and energy conversion. The particularity and complexity of the structure lead to the typical high-order nonlinear characteristics of the system, which leads to complex dynamic behavior and increases the difficulty of system modeling, analysis and control.

IPT系统基本无功补偿网络中,根据补偿电容位置的不同可分为原边串联副边串联补偿(下文简称SS型拓扑)、原边串联副边并联补偿并联(下文简称SP型拓扑)、原边并联副边串联补偿下文简称PS型拓扑)、原边并联副边并联补偿(下文简称PP型拓扑)四种基本无功补偿拓扑。In the basic reactive power compensation network of the IPT system, according to the position of the compensation capacitor, it can be divided into primary-side series-secondary-side series compensation (hereinafter referred to as SS topology), primary-side series-secondary parallel compensation and parallel connection (hereinafter referred to as SP-type topology), primary There are four basic reactive power compensation topologies: side-parallel-secondary-side series compensation (hereinafter referred to as PS topology), and primary-side parallel-secondary parallel compensation (hereinafter referred to as PP-type topology).

IPT系统通常有两种常见的控制策略,即定频控制和浮频控制:IPT systems usually have two common control strategies, namely fixed frequency control and floating frequency control:

①定频控制① Fixed frequency control

定频模式下,控制器主动发出一定频的脉冲信号控制逆变器的切换,系统在该频率下作强迫振荡。系统开关频率固定,不随参数变化而变化,因此,在负载切换或者参数漂移时,系统很容易进入硬开关工作状态,引起较大的开关损耗和电磁干扰(EMI),不利于系统长期稳定工作。In the fixed frequency mode, the controller actively sends out a pulse signal of a certain frequency to control the switching of the inverter, and the system performs forced oscillation at this frequency. The switching frequency of the system is fixed and does not change with the change of parameters. Therefore, when the load is switched or the parameters drift, the system is easy to enter the hard switching working state, causing large switching loss and electromagnetic interference (EMI), which is not conducive to the long-term stable operation of the system.

②浮频控制② Floating frequency control

浮频控制下,控制器根据反馈电压或电流的过零信号实时控制逆变器的切换,系统开关频率跟踪谐振频率,每次开关谐振电压或者电流过零时切换开关管,可以保证系统总工作在软开关状态,因此浮频模式相对于定频模式具有更好的参数自适应能力。但是浮频控制也存在一些局限性:结构相对复杂,需要检测、变送及控制环节,降低了系统的可靠性;不能工作在不稳定的软开关工作点,在频率分岔区可能发生频率跳变;对控制电路的响应速度要求比较高,存在延迟的话会导致系统工作在硬开关状态下;如果失谐可能会给系统带来很大的损害,因此一般用于功率较小的系统。Under floating frequency control, the controller controls the switching of the inverter in real time according to the zero-crossing signal of the feedback voltage or current. The switching frequency of the system tracks the resonance frequency. Switching the switching tube every time the switching resonance voltage or current crosses zero can ensure the total operation of the system. In the soft switching state, the floating frequency mode has better parameter adaptive ability than the fixed frequency mode. However, floating frequency control also has some limitations: the structure is relatively complex, and detection, transmission and control links are required, which reduces the reliability of the system; it cannot work at an unstable soft switching point, and frequency jumps may occur in the frequency bifurcation area change; the response speed of the control circuit is relatively high, and if there is a delay, the system will work in a hard switching state; if it is detuned, it may cause great damage to the system, so it is generally used in systems with low power.

文献研究表明,在IPT系统中,当系统参数如互感、原副边谐振网络参数以及负载阻抗等发生变化,都可能引起系统谐振频率的分岔。其中最为常见的分岔为静态分岔,静态分岔指的是平衡点的数目和稳定性随参数变化而发生突然的变化,其中最常见的是叉形分岔,叉形分岔的标准图形如图2所示,频率在分岔处是连续的,且存在一段频率不变区域。Literature research shows that in the IPT system, when system parameters such as mutual inductance, primary and secondary side resonance network parameters, and load impedance change, the bifurcation of the system resonance frequency may be caused. The most common bifurcation is the static bifurcation. The static bifurcation refers to the sudden change of the number and stability of the equilibrium point with the change of the parameters. The most common one is the fork bifurcation, the standard graph of the fork bifurcation As shown in Figure 2, the frequency is continuous at the bifurcation, and there is a frequency-invariant region.

如果能使IPT系统软开关频率始终工作在这一频率不变区域内,IPT系统的工作稳定性将得到极大的提高。If the soft switching frequency of the IPT system can always work in this frequency constant region, the working stability of the IPT system will be greatly improved.

但不是所有的叉形分岔都是如图2这般标准,很多时候软开关频率在分岔处是非连续的,并且没有频率不变区域,如图3所示。因此研究一种优化IPT系统控制参数的方法使得IPT系统的系统软开关频率呈标准的叉形分岔显得尤为重要。But not all fork-shaped bifurcations are as standard as shown in Figure 2. In many cases, the soft switching frequency is discontinuous at the bifurcation, and there is no frequency constant region, as shown in Figure 3. Therefore, it is particularly important to study a method to optimize the control parameters of the IPT system so that the system soft switching frequency of the IPT system presents a standard fork-shaped bifurcation.

发明内容Contents of the invention

为了克服上述现有技术中存在的缺陷,本发明的目的是提供一种基于频率分岔特性的IPT系统参数优化方法,能使得IPT系统软开关频率分岔图呈标准叉形分岔图,使得在该IPT系统的负载RL变化时,其软开关频率有较好的频率稳定性,进而使得IPT系统工作在稳定的软开关频率下。In order to overcome the defects in the above-mentioned prior art, the object of the present invention is to provide a method for optimizing IPT system parameters based on frequency bifurcation characteristics, which can make the soft-switching frequency bifurcation diagram of the IPT system appear as a standard fork-shaped bifurcation diagram, so that When the load RL of the IPT system changes, its soft-switching frequency has better frequency stability, thereby making the IPT system work at a stable soft-switching frequency.

为了实现本发明的上述目的,本发明提供了一种基于频率分岔特性的IPT系统参数优化方法,包括以下步骤:In order to achieve the above-mentioned purpose of the present invention, the present invention provides a kind of IPT system parameter optimization method based on frequency bifurcation characteristic, comprises the following steps:

S1,根据实际要求建立IPT系统模型,设定该系统的软开关频率f、原边电感值Lp和副边电感值LsS1, establish an IPT system model according to actual requirements, and set the soft switching frequency f, primary inductance L p and secondary inductance L s of the system;

S2,根据设定的软开关频率f、原边电感值Lp和副边电感值Ls,选取副边谐振补偿电容Cs的值;S2, according to the set soft switching frequency f, the primary inductance L p and the secondary inductance L s , select the value of the secondary resonant compensation capacitor C s ;

S3,基于交流阻抗分析法计算得到原边补偿电容初始值 S3, the initial value of the primary side compensation capacitor is calculated based on the AC impedance analysis method

S4,根据所建立的IPT系统中原边电感值Lp、副边电感值Ls、副边谐振补偿电容Cs和原边补偿电容初始值进行仿真,得到该IPT系统的初步软开关频率分岔图;S4, according to the primary side inductance L p , the secondary side inductance L s , the secondary side resonant compensation capacitor C s and the initial value of the primary side compensation capacitor in the established IPT system Perform simulation to obtain the preliminary soft-switching frequency bifurcation diagram of the IPT system;

S5,保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变,在原边补偿电容初始值附近取原边补偿电容试探值,并通过频闪映射建模及计算机仿真得到该原边补偿电容试探值下的简单软开关频率分岔图,直到该简单软开关频率分岔图呈标准叉形分岔图时,将此时的原边补偿电容试探值作为原边补偿电容优化值CpS5, keep the primary side inductance value L p , the secondary side inductance value L s and the secondary side resonant compensation capacitor C s unchanged, and the initial value of the primary side compensation capacitor Take the trial value of the primary side compensation capacitance nearby, and obtain the simple soft switching frequency bifurcation diagram under the trial value of the primary side compensation capacitance through stroboscopic mapping modeling and computer simulation, until the simple soft switching frequency bifurcation diagram is in the standard fork shape When drawing the bifurcation diagram, the tentative value of the primary side compensation capacitance at this time is taken as the optimal value C p of the primary side compensation capacitance.

通过交流阻抗分析法得到原边补偿电容初始值其中SS型拓扑IPT系统、PS型拓扑IPT系统、SP型拓扑IPT系统和PP型拓扑各对应不同的原边补偿电容初始值这四种拓扑结构的IPT系统的原边补偿电容初始值均可采用已知的交流阻抗分析法计算得到,然后再根据迭代运算及计算机仿真得到原边补偿电容优化值Cp,使得该IPT系统的简单软开关频率分岔图为标准叉形分岔图,即存在频率不变区域,如此,只要保证该IPT系统的负载RL不超过在频率不变区域的负载范围,即可保证该IPT系统的软开关频率保持不变。该优化方法简单、直接、有效,能快速的得到原边补偿电容优化值CpObtaining the initial value of the primary side compensation capacitor by AC impedance analysis Among them, SS-type topology IPT system, PS-type topology IPT system, SP-type topology IPT system and PP-type topology correspond to different initial values of primary side compensation capacitors The initial value of the primary side compensation capacitance of the IPT system with these four topologies It can be calculated by the known AC impedance analysis method, and then the optimal value C p of the primary side compensation capacitor is obtained according to iterative calculation and computer simulation, so that the simple soft switching frequency bifurcation diagram of the IPT system is a standard fork bifurcation diagram , that is, there is a frequency-invariant region, so as long as the load RL of the IPT system does not exceed the load range in the frequency-invariant region, the soft switching frequency of the IPT system can be guaranteed to remain unchanged. The optimization method is simple, direct and effective, and can quickly obtain the optimal value C p of the primary side compensation capacitor.

进一步的,本方法还包括步骤S6,对参数优化过的IPT系统进行频闪映射建模,画出完整精细的软开关频率分岔图,进行验证原边补偿电容优化值Cp是否使得该IPT系统软开关频率分岔图符合标准叉形分岔图要求,如果符合,则设计完成,如果不符合,重复执行步骤S5,直到原边补偿电容优化值Cp符合要求为止。Further, the method also includes step S6, performing stroboscopic mapping modeling on the parameter-optimized IPT system, drawing a complete and fine soft-switching frequency bifurcation diagram, and verifying whether the optimized value C p of the primary side compensation capacitor makes the IPT The soft switching frequency bifurcation diagram of the system meets the requirements of the standard fork bifurcation diagram. If so, the design is completed. If not, step S5 is repeated until the optimal value C p of the primary side compensation capacitor meets the requirements.

保证了原边补偿电容优化值Cp的准确性,从而进一步的提升了IPT系统的稳定性。The accuracy of the optimal value C p of the compensation capacitor on the primary side is guaranteed, thereby further improving the stability of the IPT system.

进一步的,该IPT系统为SS型拓扑IPT系统时,所述步骤S3包括以下步骤:Further, when the IPT system is an SS topology IPT system, the step S3 includes the following steps:

S3-1,对IPT系统用阻抗分析法进行分析,S3-1, analyze the IPT system by impedance analysis method,

得副边总阻抗为:RL为该IPT系统的负载,ω为该IPT系统工作的角频率;The total impedance of the secondary side is obtained as: RL is the load of the IPT system, ω is the angular frequency of the IPT system work;

等效到原边的副边反射阻抗为:其中,M为互感系数;The secondary reflection impedance equivalent to the primary side is: Among them, M is the mutual inductance coefficient;

系统总阻抗为:Rp为原边电感和线路的阻抗;The total system impedance is: R p is the impedance of the primary side inductance and the line;

S3-2,当实现功率的最大传输时,IPT系统副边处于完全谐振模式下,系统的固有谐振频率 S3-2, when the maximum power transmission is achieved, the secondary side of the IPT system is in a complete resonance mode, and the natural resonance frequency of the system is

S3-3,令系统总阻抗虚部为0,得到原边补偿电容粗略值 S3-3, let the imaginary part of the total system impedance be 0, and get the rough value of the primary side compensation capacitor

S3-4,由步骤S3-2和步骤S3-3中两式得到原边补偿电容粗略值 S3-4, obtain the rough value of the primary side compensation capacitor by the two formulas in step S3-2 and step S3-3

对SS型拓扑IPT系统,该原边补偿电容粗略值的计算方法,简单有效,而且准确性高。For the SS topology IPT system, the rough value of the primary side compensation capacitor The calculation method is simple, effective and highly accurate.

进一步的,所述步骤S5包括以下步骤:Further, said step S5 includes the following steps:

S5-1,保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变;S5-1, keeping the primary side inductance L p , the secondary side inductance L s and the secondary side resonant compensation capacitor C s unchanged;

S5-2,根据初步软开关频率分岔图的分岔类型调整得到原边补偿电容优化值Cp的取值范围,通过频闪映射建模,并将该取值范围内的任意值作为原边补偿电容试探值代入该模型中,进行仿真得到简单软开关频率分岔图,如果所得到的简单软开关频率分岔图为标准叉形分岔图,那么此时的原边补偿电容试探值即为原边补偿电容优化值Cp,如果所得到的简单软开关频率分岔图为非标准叉形分岔图,则执行步骤S5-3;S5-2. According to the bifurcation type adjustment of the preliminary soft switching frequency bifurcation diagram, the value range of the optimal value C p of the primary side compensation capacitor is obtained, and the stroboscopic mapping is used to model, and any value within the value range is used as the original Substituting the tentative value of side compensation capacitance into the model, and performing simulation to obtain a simple soft switching frequency bifurcation diagram, if the obtained simple soft switching frequency bifurcation diagram is a standard fork bifurcation diagram, then the trial value of the original side compensation capacitance at this time That is, the optimal value C p of the primary side compensation capacitor. If the obtained simple soft-switching frequency bifurcation diagram is a non-standard fork-shaped bifurcation diagram, perform step S5-3;

S5-3,通过重复步骤S5-2计算软开关频率分岔图,进行多次迭代运算,直到简单软开关频率分岔图呈标准叉形分岔图时,停止迭代运算,得到原边补偿电容优化值CpS5-3, calculate the soft switching frequency bifurcation diagram by repeating step S5-2, and perform multiple iterative operations until the simple soft switching frequency bifurcation diagram is a standard fork-shaped bifurcation diagram, stop the iterative operation, and obtain the primary side compensation capacitance Optimal value C p .

在保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变的情况下,对原边补偿电容试探值进行迭代运算,从而得到原边补偿电容优化值Cp,该方法简单,且计算准确率高,速度快。Under the condition of keeping the primary side inductance value L p , the secondary side inductance value L s and the secondary side resonant compensation capacitor C s unchanged, iteratively calculate the primary side compensation capacitance test value to obtain the primary side compensation capacitor optimal value C p , the method is simple, and the calculation accuracy is high and the speed is fast.

进一步的,该IPT系统为SS型拓扑IPT系统时,步骤S5-3中,如果所得到的简单软开关频率分岔图是上端连续型,则增大原边补偿电容试探值;如果所得到的简单软开关频率分岔图是下端连续型,则减小原边补偿电容试探的值。Further, when the IPT system is an SS topology IPT system, in step S5-3, if the obtained simple soft-switching frequency bifurcation diagram is an upper-end continuous type, increase the trial value of the primary compensation capacitance; if the obtained simple If the bifurcation diagram of the soft switching frequency is continuous at the lower end, the value of the primary side compensation capacitor should be reduced.

本发明的有益效果是:The beneficial effects of the present invention are:

1、解决了定频控制不适应负载变动的系统,和浮频控制不能工作在非自治稳定频率点的矛盾;1. Solved the contradiction between the fixed frequency control not adapting to the load change system and the floating frequency control not working at the non-autonomous stable frequency point;

2、较好地实现了系统在变负载情况下的频率稳定性;2. Better realize the frequency stability of the system under variable load conditions;

3、实现简单,适应性广,可靠性高;3. Simple implementation, wide adaptability and high reliability;

本发明的附加方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.

附图说明Description of drawings

本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and comprehensible from the description of the embodiments in conjunction with the following drawings, wherein:

图1是SS型IPT系统拓扑电路图;Figure 1 is a topological circuit diagram of the SS type IPT system;

图2是标准叉形分岔图;Fig. 2 is a standard fork bifurcation diagram;

图3为非标准叉形分岔示意图Figure 3 is a schematic diagram of a non-standard fork bifurcation

图4为本方法的流程示意图;Fig. 4 is the schematic flow sheet of this method;

图5为不同原边补偿电容试探值的软开关频率分岔图;Fig. 5 is a soft switching frequency bifurcation diagram of different primary side compensation capacitance test values;

图6为参数优化前后该系统软开关频率分岔对比图;Figure 6 is a comparison diagram of soft switching frequency bifurcation of the system before and after parameter optimization;

图7为频闪映射示意图。Fig. 7 is a schematic diagram of stroboscopic mapping.

具体实施方式detailed description

下面详细描述本发明的实施例,所述实施例的示例在附图中示出,其中自始至终相同或类似的标号表示相同或类似的元件或具有相同或类似功能的元件。下面通过参考附图描述的实施例是示例性的,仅用于解释本发明,而不能理解为对本发明的限制。Embodiments of the present invention are described in detail below, examples of which are shown in the drawings, wherein the same or similar reference numerals designate the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the figures are exemplary only for explaining the present invention and should not be construed as limiting the present invention.

在本发明的描述中,除非另有规定和限定,需要说明的是,术语“安装”、“相连”、“连接”应做广义理解,例如,可以是机械连接或电连接,也可以是两个元件内部的连通,可以是直接相连,也可以通过中间媒介间接相连,对于本领域的普通技术人员而言,可以根据具体情况理解上述术语的具体含义。In the description of the present invention, unless otherwise specified and limited, it should be noted that the terms "installation", "connection" and "connection" should be understood in a broad sense, for example, it can be mechanical connection or electrical connection, or two The internal communication of each element may be directly connected or indirectly connected through an intermediary. Those skilled in the art can understand the specific meanings of the above terms according to specific situations.

本发明提供了一种基于频率分岔特性的IPT系统参数优化方法,如图4所示,包括以下步骤:The present invention provides a kind of IPT system parameter optimization method based on frequency bifurcation characteristic, as shown in Figure 4, comprises the following steps:

S1,根据实际要求建立IPT系统模型,设定该系统的软开关频率f、原边电感值Lp和副边电感值LsS1. Establish an IPT system model according to actual requirements, and set the soft switching frequency f, primary inductance L p and secondary inductance L s of the system.

S2,根据设定的软开关频率f、原边电感值Lp和副边电感值Ls,选取副边谐振补偿电容Cs的值。S2, according to the set soft switching frequency f, the primary inductance L p and the secondary inductance L s , select the value of the secondary resonant compensation capacitor C s .

S3,基于交流阻抗分析法计算得到原边补偿电容初始值 S3, the initial value of the primary side compensation capacitor is calculated based on the AC impedance analysis method

当该IPT系统为如图1所示的SS型拓扑结构时,原边补偿电容初始值的计算方法包括以下步骤:When the IPT system is an SS topology as shown in Figure 1, the initial value of the primary side compensation capacitor The calculation method includes the following steps:

S3-1,对IPT系统用阻抗分析法进行分析,S3-1, analyze the IPT system by impedance analysis method,

得副边总阻抗为:RL为该IPT系统的负载,ω为该IPT系统工作的角频率。The total impedance of the secondary side is obtained as: RL is the load of the IPT system, and ω is the angular frequency of the IPT system.

等效到原边的副边反射阻抗为:其中,M为互感系数。The secondary reflection impedance equivalent to the primary side is: Among them, M is the mutual inductance coefficient.

系统总阻抗为:Rp为原边电感和线路的阻抗。The total system impedance is: R p is the impedance of the primary inductance and the line.

S3-2,当实现功率的最大传输时,IPT系统副边处于完全谐振模式下,系统的固有谐振频率 S3-2, when the maximum power transmission is achieved, the secondary side of the IPT system is in a complete resonance mode, and the natural resonance frequency of the system is

S3-3,令系统总阻抗虚部为0,得到原边补偿电容粗略值 S3-3, let the imaginary part of the total system impedance be 0, and get the rough value of the primary side compensation capacitor

S3-4,由步骤S3-2和步骤S3-3中两式得到原边补偿电容粗略值该原边补偿电容粗略值的计算方法,简单有效,而且准确性高。S3-4, obtain the rough value of the primary side compensation capacitor by the two formulas in step S3-2 and step S3-3 The rough value of the primary side compensation capacitor The calculation method is simple, effective and highly accurate.

S4,根据所建立的IPT系统中原边电感值Lp、副边电感值Ls、副边谐振补偿电容Cs和原边补偿电容初始值进行仿真,得到该IPT系统的初步软开关频率分岔图。S4, according to the primary side inductance L p , the secondary side inductance L s , the secondary side resonant compensation capacitor C s and the initial value of the primary side compensation capacitor in the established IPT system The simulation is carried out, and the preliminary soft-switching frequency bifurcation diagram of the IPT system is obtained.

S5,保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变,在原边补偿电容初始值附近取原边补偿电容试探值,并通过频闪映射建模及计算机仿真得到该原边补偿电容试探值下的简单软开关频率分岔图,直到该简单软开关频率分岔图呈标准叉形分岔图时,将此时的原边补偿电容试探值作为原边补偿电容优化值CpS5, keep the primary side inductance value L p , the secondary side inductance value L s and the secondary side resonant compensation capacitor C s unchanged, and the initial value of the primary side compensation capacitor Take the trial value of the primary side compensation capacitance nearby, and obtain the simple soft switching frequency bifurcation diagram under the trial value of the primary side compensation capacitance through stroboscopic mapping modeling and computer simulation, until the simple soft switching frequency bifurcation diagram is in the standard fork shape When drawing the bifurcation diagram, the tentative value of the primary side compensation capacitance at this time is taken as the optimal value C p of the primary side compensation capacitance.

原边补偿电容试探值的取值范围为原边补偿电容初始值 The value range of the trial value of the primary side compensation capacitor is the initial value of the primary side compensation capacitor

在仿真中为了提高效率,只需要取频率过渡区中的几个负载值,通过频闪映射建模得到这些负载值对应的软开关频率,从而得到本步骤中所提到的简单软开关频率分岔图。In order to improve the efficiency in the simulation, it is only necessary to take several load values in the frequency transition region, and obtain the soft switching frequencies corresponding to these load values through stroboscopic mapping modeling, so as to obtain the simple soft switching frequency analysis mentioned in this step Fork map.

具体的,步骤S5包括以下三步:Specifically, step S5 includes the following three steps:

第一步,保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变。In the first step, keep the primary inductance L p , the secondary inductance L s and the secondary resonant compensation capacitance C s unchanged.

第二步,根据初步软开关频率分岔图的分岔类型调整得到原边补偿电容优化值Cp的取值范围,通过频闪映射建模,并将该取值范围内的任意值作为原边补偿电容试探值代入该模型中,进行仿真得到简单软开关频率分岔图,如果所得到的简单软开关频率分岔图为标准叉形分岔图,那么此时的原边补偿电容试探值即为原边补偿电容优化值Cp,如果所得到的简单软开关频率分岔图为非标准叉形分岔图,则执行步骤S5-3;In the second step, according to the bifurcation type adjustment of the preliminary soft switching frequency bifurcation diagram, the value range of the optimal value C p of the primary side compensation capacitor is obtained, and the stroboscopic mapping is used to model, and any value in the value range is used as the original Substituting the tentative value of side compensation capacitance into the model, and performing simulation to obtain a simple soft switching frequency bifurcation diagram, if the obtained simple soft switching frequency bifurcation diagram is a standard fork bifurcation diagram, then the trial value of the original side compensation capacitance at this time That is, the optimal value C p of the primary side compensation capacitor. If the obtained simple soft-switching frequency bifurcation diagram is a non-standard fork-shaped bifurcation diagram, perform step S5-3;

第三步,通过重复步骤S5-2计算软开关频率分岔图,进行多次迭代运算,直到简单软开关频率分岔图呈标准叉形分岔图时,停止迭代运算,得到原边补偿电容优化值CpThe third step is to calculate the soft-switching frequency bifurcation diagram by repeating step S5-2, and perform multiple iterative operations until the simple soft-switching frequency bifurcation diagram is a standard fork-shaped bifurcation diagram, stop the iterative operation, and obtain the primary side compensation capacitance Optimal value C p .

当该IPT系统为如图1所示的SS型拓扑结构时,如果所得到的简单软开关频率分岔图是上端连续型,增大原边补偿电容试探值,如图5所示,如果是下端连续型,则减小原边补偿电容试探的值,进行多次迭代运算,直到简单软开关频率分岔图呈标准叉形分岔图时,停止迭代运算,得到原边补偿电容优化值CpWhen the IPT system is an SS topology as shown in Figure 1, if the obtained simple soft switching frequency bifurcation diagram is the upper-end continuous type, increase the trial value of the primary side compensation capacitor, as shown in Figure 5, if the lower-end For the continuous type, reduce the trial value of the primary side compensation capacitor and perform multiple iterative operations until the simple soft switching frequency bifurcation diagram shows a standard fork-shaped bifurcation diagram, then stop the iterative operation and obtain the optimal value C p of the primary side compensation capacitor .

本申请中提到的频闪映射,以固定不变的采样频率采样目标系统,该采样频率和系统工作频率一致。同时对于周期变化的系统来讲,其频闪映射模型必然对应为一个不动点。以常见的正弦函数曲线为例,其频闪映射建模的示意图如图7所示,可看出,以与运行周期T一致的时间间隔进行频闪采样,其频闪映射的结果为一个不动点y*=YsThe stroboscopic mapping mentioned in this application samples the target system at a fixed sampling frequency, which is consistent with the operating frequency of the system. At the same time, for a system that changes periodically, its stroboscopic mapping model must correspond to a fixed point. Taking the common sinusoidal function curve as an example, the schematic diagram of its stroboscopic mapping modeling is shown in Figure 7. It can be seen that the stroboscopic sampling is performed at a time interval consistent with the operating cycle T, and the result of the stroboscopic mapping is a different Moving point y * = Y s .

频闪映射建模方法与周期不动点理论能够精确地计算谐振变换器软开关工作点。对于负载变化的IPT系统,运用该方法可对IPT系统建立精确的数学模型。The stroboscopic mapping modeling method and the periodic fixed point theory can accurately calculate the soft switching operating point of the resonant converter. For the IPT system with changing load, using this method can establish an accurate mathematical model for the IPT system.

频闪映射建模方法为:The stroboscopic mapping modeling method is:

设M维自治非线性系统: Let M-dimensional autonomous nonlinear system:

可以将其分段线性化为k个线性模态,各模态的状态空间描述为: It can be linearized piecewise into k linear modes, and the state space of each mode is described as:

假设在各线性工作模态下,系统输入量ui(t)=c为常数不变且系统参数矩阵Ai可逆,则系统的解析解为:式中,x为状态变量且x∈RM,维数为m,ui∈Rl,(i=1,2,3...k)为系统输入变量,维数为l。Ai和Bi分别为系统状态系数矩阵和系统输入系数矩阵。Assuming that under each linear working mode, the system input quantity u i (t) = c is constant and the system parameter matrix A i is reversible, then the analytical solution of the system is: In the formula, x is the state variable and x∈R M , the dimension is m, u i ∈ R l , (i=1,2,3...k) is the system input variable, the dimension is l. A i and B i are system state coefficient matrix and system input coefficient matrix respectively.

x0=x(0)为模态初始状态。其中状态转移矩阵可表示为: x 0 =x(0) is the initial state of the modal. The state transition matrix can be expressed as:

设稳态时,系统运行周期为T,各线性模态的工作持续时间为ζi,则可得到各模态下的状态映射函数 In the steady state, the operating period of the system is T, and the working duration of each linear mode is ζ i , then The state mapping function in each mode can be obtained

假设xn为系统稳态时的周期初始状态,xn+1系统稳态时周期结束状态,则系统在第n个周期的频闪映射模型可表示为:式中为折算因子,其意义为 Assuming that x n is the initial state of the cycle in the steady state of the system, and x n+1 is the end state of the cycle in the steady state of the system, the stroboscopic mapping model of the system in the nth cycle can be expressed as: In the formula is the conversion factor, its meaning is

稳态时,系统的状态向量周期重复,即xn+1=xnIn steady state, the state vector of the system repeats periodically, that is, x n+1 = x n ,

代入得到系统的不动点x* Substitute to get the fixed point x * of the system,

各模态切换的边界条件可表示为:The boundary conditions of each mode switching can be expressed as:

其中Yj∈Rp×m,(i=1,2,3...k)为状态转移矩阵,用来将边界条件涉及到的p个状态变量从m维状态向量x中提取出来。Among them, Y j ∈ R p×m , (i=1,2,3...k) is the state transition matrix, which is used to extract the p state variables involved in the boundary conditions from the m-dimensional state vector x.

对于IPT系统,为了便于分析,假设所有开关器件均为理想器件。可将系统分段线性化,取系统中所有电容器件的电压和电感器件的电流为状态变量,得到每一个模态的状态空间描述方程;根据各模态下的状态映射函数得到周期不动点函数,进而求得软开关周期和系统稳态周期内各状态变量的稳态值。For the IPT system, for the convenience of analysis, it is assumed that all switching devices are ideal devices. The system can be linearized piecewise, taking the voltage of all capacitive devices and the current of inductive devices in the system as state variables to obtain the state space description equation of each mode; according to the state mapping function in each mode, the periodic fixed point can be obtained Function, and then obtain the steady-state value of each state variable in the soft switching period and the system steady-state period.

本发明在保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变的情况下,对原边补偿电容试探值进行迭代运算,从而得到原边补偿电容优化值Cp。通过交流阻抗分析法得到原边补偿电容初始值然后再根据频散映射模型及计算机仿真得到原边补偿电容优化值Cp,使得该IPT系统软开关频率分岔图为标准叉形分岔图,即存在频率不变区域,如此,只要保证该IPT系统的负载RL不超过在频率不变区域的负载范围,即可保证该IPT系统的软开关频率保持不变。该优化方法简单、直接、有效,能快速的得到原边补偿电容优化值CpIn the present invention, under the condition of keeping the primary side inductance value L p , the secondary side inductance value L s and the secondary side resonant compensation capacitor C s unchanged, iteratively calculates the trial value of the primary side compensation capacitor, thereby obtaining the optimal value of the primary side compensation capacitor Cp . Obtaining the initial value of the primary side compensation capacitor by AC impedance analysis Then, according to the dispersion mapping model and computer simulation, the optimal value C p of the primary side compensation capacitor is obtained, so that the soft switching frequency bifurcation diagram of the IPT system is a standard fork-shaped bifurcation diagram, that is, there is a frequency-invariant region. In this way, as long as the The load RL of the IPT system does not exceed the load range in the frequency constant region, which can ensure that the soft switching frequency of the IPT system remains constant. The optimization method is simple, direct and effective, and can quickly obtain the optimal value C p of the primary side compensation capacitor.

如图6所示的参数优化后的IPT系统的软开关频率分岔图,优化前,其软开关频率图为非标准叉形分岔图,呈现非连续性,并且没有频率不变区域,而优化参数后的系统,其软开关频率图为标准叉形分岔图,呈现了频率的连续性,并且存在频率不变区域。The soft-switching frequency bifurcation diagram of the IPT system after parameter optimization is shown in Figure 6. Before optimization, the soft-switching frequency diagram is a non-standard fork-shaped bifurcation diagram, showing discontinuity and no frequency-invariant region, while After optimizing the parameters, the soft switching frequency diagram of the system is a standard fork bifurcation diagram, which presents frequency continuity and has frequency invariant regions.

为了加快计算的速度以及减少优化过程中不必要的计算,所以步骤S5中在对软开关频率分岔图的仿真上的计算都是基于少量的点进行的。为了提高该IPT系统在整个工作过程中都能工作在不变的软开关频率下,需对所优化得到的参数进行验证,即画出完整精细的分岔图进行验证,看软开关频率分叉图是否达到标准的叉型分岔的要求。In order to speed up the calculation and reduce unnecessary calculations in the optimization process, the calculations on the simulation of the soft switching frequency bifurcation diagram in step S5 are all based on a small number of points. In order to improve that the IPT system can work at a constant soft switching frequency throughout the working process, it is necessary to verify the optimized parameters, that is, to draw a complete and detailed bifurcation diagram for verification, see the soft switching frequency bifurcation Whether the graph meets the requirements of standard fork bifurcation.

所以本方法还包括步骤S6,对参数优化过的IPT系统进行频闪映射建模,画出完整精细的软开关频率分岔图,进行验证原边补偿电容优化值Cp是否使得该IPT系统软开关频率分岔图符合标准叉形分岔图要求,如果符合,则设计完成,如果不符合,重复执行步骤S5,直到原边补偿电容优化值Cp符合要求为止。Therefore, the method also includes step S6, performing stroboscopic mapping modeling on the parameter-optimized IPT system, drawing a complete and fine soft switching frequency bifurcation diagram, and verifying whether the optimized value C p of the primary side compensation capacitor makes the IPT system soft The switching frequency bifurcation diagram meets the requirements of the standard fork-shaped bifurcation diagram. If so, the design is completed. If not, step S5 is repeated until the optimal value C p of the primary side compensation capacitor meets the requirements.

这保证了原边补偿电容优化值Cp的准确性,从而进一步的提升了IPT系统的稳定性。This ensures the accuracy of the optimal value C p of the compensation capacitor on the primary side, thereby further improving the stability of the IPT system.

在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不一定指的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任何的一个或多个实施例或示例中以合适的方式结合。In the description of this specification, descriptions referring to the terms "one embodiment", "some embodiments", "example", "specific examples", or "some examples" mean that specific features described in connection with the embodiment or example , structure, material or characteristic is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.

尽管已经示出和描述了本发明的实施例,本领域的普通技术人员可以理解:在不脱离本发明的原理和宗旨的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由权利要求及其等同物限定。Although the embodiments of the present invention have been shown and described, those skilled in the art can understand that various changes, modifications, substitutions and variations can be made to these embodiments without departing from the principle and spirit of the present invention. The scope of the invention is defined by the claims and their equivalents.

Claims (5)

1.基于频率分岔特性的IPT系统参数优化方法,其特征在于,包括以下步骤:1. The IPT system parameter optimization method based on frequency bifurcation characteristics, is characterized in that, comprises the following steps: S1,根据实际要求建立IPT系统模型,设定该系统的软开关频率f、原边电感值Lp和副边电感值LsS1, establish an IPT system model according to actual requirements, and set the soft switching frequency f, primary inductance L p and secondary inductance L s of the system; S2,根据设定的软开关频率f、原边电感值Lp和副边电感值Ls,选取副边谐振补偿电容Cs的值;S2, according to the set soft switching frequency f, the primary inductance L p and the secondary inductance L s , select the value of the secondary resonant compensation capacitor C s ; S3,基于交流阻抗分析法计算得到原边补偿电容初始值 S3, the initial value of the primary side compensation capacitor is calculated based on the AC impedance analysis method S4,根据所建立的IPT系统中原边电感值Lp、副边电感值Ls、副边谐振补偿电容Cs和原边补偿电容初始值进行仿真,得到该IPT系统的初步软开关频率分岔图;S4, according to the primary side inductance L p , the secondary side inductance L s , the secondary side resonant compensation capacitor C s and the initial value of the primary side compensation capacitor in the established IPT system Perform simulation to obtain the preliminary soft-switching frequency bifurcation diagram of the IPT system; S5,保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变,在原边补偿电容初始值附近取原边补偿电容试探值,并通过频闪映射建模及计算机仿真得到该原边补偿电容试探值下的简单软开关频率分岔图,直到该简单软开关频率分岔图呈标准叉形分岔图时,将此时的原边补偿电容试探值作为原边补偿电容优化值CpS5, keep the primary side inductance value L p , the secondary side inductance value L s and the secondary side resonant compensation capacitor C s unchanged, and the initial value of the primary side compensation capacitor Take the trial value of the primary side compensation capacitance nearby, and obtain the simple soft switching frequency bifurcation diagram under the trial value of the primary side compensation capacitance through stroboscopic mapping modeling and computer simulation, until the simple soft switching frequency bifurcation diagram is in the standard fork shape When drawing the bifurcation diagram, the tentative value of the primary side compensation capacitance at this time is taken as the optimal value C p of the primary side compensation capacitance. 2.根据权利要求1所述的基于频率分岔特性的IPT系统参数优化方法,其特征在于,还包括如下步骤:2. the IPT system parameter optimization method based on frequency bifurcation characteristic according to claim 1, is characterized in that, also comprises the steps: S6,对参数优化过的IPT系统进行频闪映射建模,画出完整精细的软开关频率分岔图,进行验证原边补偿电容优化值Cp是否使得该IPT系统软开关频率分岔图符合标准叉形分岔图要求,如果符合,则设计完成,如果不符合,重复执行步骤S5,直到原边补偿电容优化值Cp符合要求为止。S6, perform stroboscopic mapping modeling on the parameter-optimized IPT system, draw a complete and detailed soft-switching frequency bifurcation diagram, and verify whether the optimized value C p of the primary side compensation capacitor makes the soft-switching frequency bifurcation diagram of the IPT system conform to If the requirements of the standard fork-shaped bifurcation diagram are met, the design is completed; if not, step S5 is repeated until the optimal value C p of the primary side compensation capacitor meets the requirements. 3.根据权利要求1所述的基于频率分岔特性的IPT系统参数优化方法,其特征在于,该IPT系统为SS型拓扑IPT系统时,所述步骤S3包括以下步骤:3. the IPT system parameter optimization method based on frequency bifurcation characteristic according to claim 1, is characterized in that, when this IPT system is SS type topology IPT system, described step S3 comprises the following steps: S3-1,对IPT系统用阻抗分析法进行分析,S3-1, analyze the IPT system by impedance analysis method, 得副边总阻抗为:RL为该IPT系统的负载,ω为该IPT系统工作的角频率;The total impedance of the secondary side is obtained as: RL is the load of the IPT system, ω is the angular frequency of the IPT system work; 等效到原边的副边反射阻抗为:其中,M为互感系数;The secondary reflection impedance equivalent to the primary side is: Among them, M is the mutual inductance coefficient; 系统总阻抗为:Rp为原边电感和线路的阻抗;The total system impedance is: R p is the impedance of the primary side inductance and the line; S3-2,当实现功率的最大传输时,IPT系统副边处于完全谐振模式下,系统的固有谐振频率 S3-2, when the maximum power transmission is achieved, the secondary side of the IPT system is in a complete resonance mode, and the natural resonance frequency of the system is S3-3,令系统总阻抗虚部为0,得到原边补偿电容粗略值 S3-3, let the imaginary part of the total system impedance be 0, and get the rough value of the primary side compensation capacitor S3-4,由步骤S3-2和步骤S3-3中两式得到原边补偿电容粗略值S3-4, obtain the rough value of the primary side compensation capacitor by the two formulas in step S3-2 and step S3-3 . 4.根据权利要求1所述的基于频率分岔特性的IPT系统参数优化方法,其特征在于,所述步骤S5包括以下步骤:4. the IPT system parameter optimization method based on frequency bifurcation characteristic according to claim 1, is characterized in that, described step S5 comprises the following steps: S5-1,保持原边电感值Lp、副边电感值Ls和副边谐振补偿电容Cs不变;S5-1, keeping the primary side inductance L p , the secondary side inductance L s and the secondary side resonant compensation capacitor C s unchanged; S5-2,根据初步软开关频率分岔图的分岔类型调整得到原边补偿电容优化值Cp的取值范围,通过频闪映射建模,并将该取值范围内的任意值作为原边补偿电容试探值代入该模型中,进行仿真得到简单软开关频率分岔图,如果所得到的简单软开关频率分岔图为标准叉形分岔图,那么此时的原边补偿电容试探值即为原边补偿电容优化值Cp,如果所得到的简单软开关频率分岔图为非标准叉形分岔图,则执行步骤S5-3;S5-2. According to the bifurcation type adjustment of the preliminary soft switching frequency bifurcation diagram, the value range of the optimal value C p of the primary side compensation capacitor is obtained, and the stroboscopic mapping is used to model, and any value within the value range is used as the original Substituting the tentative value of side compensation capacitance into the model, and performing simulation to obtain a simple soft switching frequency bifurcation diagram, if the obtained simple soft switching frequency bifurcation diagram is a standard fork bifurcation diagram, then the trial value of the original side compensation capacitance at this time That is, the optimal value C p of the primary side compensation capacitor. If the obtained simple soft-switching frequency bifurcation diagram is a non-standard fork-shaped bifurcation diagram, perform step S5-3; S5-3,通过重复步骤S5-2计算软开关频率分岔图,进行多次迭代运算,直到系统简单软开关频率分岔图呈标准叉形分岔图时,停止迭代运算,得到原边补偿电容优化值CpS5-3, by repeating step S5-2 to calculate the soft-switching frequency bifurcation diagram, and perform multiple iterative operations until the simple soft-switching frequency bifurcation diagram of the system is a standard fork-shaped bifurcation diagram, stop the iterative operation, and obtain the primary side compensation Capacitance optimization value C p . 5.根据权利要求4所述的基于频率分岔特性的IPT系统参数优化方法,其特征在于,该IPT系统为SS型拓扑IPT系统时,步骤S5-3中,如果所得到的简单软开关频率分岔图是上端连续型,则增大原边补偿电容试探值;如果所得到的简单软开关频率分岔图是下端连续型,则减小原边补偿电容试探值。5. The IPT system parameter optimization method based on frequency bifurcation characteristics according to claim 4, wherein, when the IPT system is an SS type topology IPT system, in step S5-3, if the obtained simple soft switching frequency If the bifurcation diagram is continuous at the upper end, increase the trial value of the primary compensation capacitor; if the obtained simple soft switching frequency bifurcation diagram is continuous at the lower end, decrease the trial value of the primary compensation capacitor.
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