CN118641992B - Open-circuit fault diagnosis method for permanent magnet synchronous motor inverter based on current bias - Google Patents
Open-circuit fault diagnosis method for permanent magnet synchronous motor inverter based on current bias Download PDFInfo
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Abstract
Description
技术领域Technical Field
本发明属于逆变器故障诊断技术领域,具有涉及一种基于电流偏置度的永磁同步电机逆变器开路故障诊断方法。The invention belongs to the technical field of inverter fault diagnosis, and relates to a permanent magnet synchronous motor inverter open circuit fault diagnosis method based on current bias.
背景技术Background Art
永磁同步电机凭借其功率密度高、控制性能好、工作效率高等特点,被广泛应用于新能源汽车、轨道交通和船舶推进等高端装备领域。高可靠性对工业系统连续作业至关重要,也是电机驱动系统的核心要求之一,而快速发现和准确定位故障,是保障系统可靠性的关键环节。因此,发展电机驱动系统运行状态在线监测与故障诊断技术具有十分重要的理论和现实意义。Permanent magnet synchronous motors are widely used in high-end equipment such as new energy vehicles, rail transit and ship propulsion due to their high power density, good control performance and high working efficiency. High reliability is crucial for the continuous operation of industrial systems and is also one of the core requirements of motor drive systems. Rapid detection and accurate positioning of faults are key links in ensuring system reliability. Therefore, the development of online monitoring and fault diagnosis technology for the operating status of motor drive systems has very important theoretical and practical significance.
故障诊断方法可以分为两大类:基于数据和基于信号;基于数据的方法结合人工智能算法实现故障特征的自动分类与识别,不需要了解系统模型与工作机理,抗扰性强,对于复杂系统的故障诊断具有明显优势,不足之处在于依赖大量历史数据,对数字处理器等硬件支持要求高,且诊断速度远慢于基于模型的诊断方法,在工业变流器上的应用仍鲜有耳闻。Fault diagnosis methods can be divided into two categories: data-based and signal-based. Data-based methods combine artificial intelligence algorithms to realize automatic classification and identification of fault characteristics. They do not require understanding of system models and working mechanisms, have strong anti-interference capabilities, and have obvious advantages in fault diagnosis of complex systems. Their disadvantages are that they rely on a large amount of historical data, have high requirements for hardware support such as digital processors, and their diagnostic speed is much slower than that of model-based diagnostic methods. Their application in industrial converters is still rarely heard of.
基于信号的方法的研究更为广泛,根据特征值的不同,基于信号的方法可以分为电压信号和电流信号两类;基于电压信号的方法不受电气时间常数影响和系统运行状态限制,可以直接反映逆变器故障特征,在数个开关周期内实现故障诊断,受负载、转速和控制策略等因素影响较小,具有较强的快速性;其不足之处在于电压法往往需要配合驱动脉冲信号才能实现故障诊断,实际系统中的测量延迟、开关延时、死区时间、系统噪声、器件非理想特性等诸多因素都可能导致伪故障信号出现,对电路精度和抗噪声能力的要求极为严格。此外,电压信号的采集需要额外安装监测设备,对系统结构的空间预留和运行复杂度有所要求,这一不利因素在多电平逆变器中更为明显。The research on signal-based methods is more extensive. According to the different characteristic values, signal-based methods can be divided into two categories: voltage signals and current signals. The voltage-based method is not affected by the electrical time constant and the system operation status. It can directly reflect the fault characteristics of the inverter and realize fault diagnosis within several switching cycles. It is less affected by factors such as load, speed and control strategy, and has strong rapidity. Its disadvantage is that the voltage method often needs to cooperate with the drive pulse signal to realize fault diagnosis. In the actual system, many factors such as measurement delay, switching delay, dead time, system noise, and non-ideal characteristics of the device may cause false fault signals to appear, and the requirements for circuit accuracy and noise resistance are extremely strict. In addition, the acquisition of voltage signals requires the installation of additional monitoring equipment, which requires space reservation and operation complexity of the system structure. This disadvantage is more obvious in multi-level inverters.
根据是否需要驱动信号,基于电流信号的方法可以分为两类,结合驱动信号的电流信号法在快速性和鲁棒性上几乎可以媲美基于电压信号的方法,并且不需要额外传感器,但是这以增加一定的算法复杂度为代价;由于需要利用驱动信号进行故障诊断,该方法对死区时间、开关延迟、系统噪声和测量误差敏感度较高,需要给予足够的关注,以保证诊断准确性。此外,需要注意的是,在一些工业应用场景中难以直接获取驱动信号,将会限制该方法的工程应用。Depending on whether a driving signal is required, the current signal-based methods can be divided into two categories. The current signal method combined with the driving signal is almost comparable to the voltage signal-based method in terms of rapidity and robustness, and does not require additional sensors, but this comes at the cost of increasing the complexity of the algorithm to a certain extent; since the driving signal is required for fault diagnosis, this method is highly sensitive to dead time, switching delay, system noise and measurement error, and sufficient attention needs to be paid to ensure diagnostic accuracy. In addition, it should be noted that it is difficult to directly obtain the driving signal in some industrial application scenarios, which will limit the engineering application of this method.
不结合驱动信号的电流信号法的诊断速度不如基于电压信号的方法和结合驱动信号的电流信号法,但是这类方法只需要控制器采集的三相电流、转子位置等信号,应用场景更为广阔,对开关延迟、死区效应、噪声干扰等敏感度较低;这一类电流法更依赖于对研究对象的熟悉程度,如何选取合适的诊断阈值是这类方法的另一个重点。闭环系统条件下电流变化受到控制器反馈调节作用影响,这一问题受到的关注较少,目前多采用忽略反馈调节的简化模型分析故障电流,这虽然减小了计算量,但是简化模型会导致故障特征丢失。此外,不同控制参数下的电流畸变幅度存在差异,通过简化模型获得的故障特征容易导致诊断算法在不同控制参数下泛化能力不足,其准确性容易受到工业场景的影响。The diagnostic speed of the current signal method without the drive signal is not as fast as that of the voltage signal-based method and the current signal method combined with the drive signal. However, this type of method only requires the three-phase current, rotor position and other signals collected by the controller, and has a wider application scenario. It is less sensitive to switch delays, dead zone effects, noise interference, etc.; this type of current method is more dependent on the familiarity with the research object, and how to select a suitable diagnostic threshold is another focus of this type of method. The current change under the closed-loop system condition is affected by the feedback regulation of the controller. This issue has received less attention. At present, a simplified model that ignores feedback regulation is often used to analyze fault currents. Although this reduces the amount of calculation, the simplified model will cause the loss of fault characteristics. In addition, there are differences in the current distortion amplitude under different control parameters. The fault characteristics obtained by the simplified model are likely to lead to insufficient generalization of the diagnostic algorithm under different control parameters, and its accuracy is easily affected by industrial scenarios.
发明内容Summary of the invention
鉴于上述,本发明提供了一种基于电流偏置度的永磁同步电机逆变器开路故障诊断方法,该方法对电机速度变化、负载变化敏感度低,在不同控制周期、电感参数失配下具有良好鲁棒性,可应用于电动/发电/制动等不同运行模式,可扩展应用至双管开路故障诊断。In view of the above, the present invention provides a permanent magnet synchronous motor inverter open circuit fault diagnosis method based on current bias. The method has low sensitivity to motor speed changes and load changes, has good robustness under different control cycles and inductance parameter mismatches, can be applied to different operating modes such as electric/generating/braking, and can be extended to dual-tube open circuit fault diagnosis.
一种基于电流偏置度的永磁同步电机逆变器开路故障诊断方法,包括如下步骤:A method for diagnosing open-circuit faults of a permanent magnet synchronous motor inverter based on current bias comprises the following steps:
(1)根据转子位置角和q轴参考电流构建定子电流观测模型;(1) Construct a stator current observation model based on the rotor position angle and q-axis reference current;
(2)利用所述定子电流观测模型计算逆变器开路故障后的定子电流残差;(2) using the stator current observation model to calculate the stator current residual after the inverter open circuit fault;
(3)采用误差极性函数量化所述定子电流残差;(3) quantifying the stator current residual using an error polarity function;
(4)根据所述误差极性函数计算出定子电流偏置度;(4) calculating the stator current bias according to the error polarity function;
(5)根据所述定子电流偏置度构造误差判别函数,用以对逆变器开路故障进行诊断。(5) Constructing an error discrimination function according to the stator current bias to diagnose the inverter open circuit fault.
进一步地,所述步骤(1)中的定子电流观测模型表达式如下:Furthermore, the stator current observation model expression in step (1) is as follows:
其中:ix表示永磁同步电机的x相定子电流,x=a、b或c,θe为永磁同步电机的转子位置角,iqref为控制器的q轴参考电流,表示x相定子电流的初始相位Im表示电流幅值。Where: i x represents the x-phase stator current of the permanent magnet synchronous motor, x = a, b or c, θ e is the rotor position angle of the permanent magnet synchronous motor, i qref is the q-axis reference current of the controller, Indicates the initial phase of the x-phase stator current I m represents the current amplitude.
进一步地,所述步骤(2)中通过以下公式计算逆变器开路故障后的定子电流残差:Furthermore, in step (2), the stator current residual after the inverter open circuit fault is calculated by the following formula:
其中:εxf表示逆变器开路故障后的x相定子电流残差,ixf表示逆变器开路故障后永磁同步电机的x相定子电流。Wherein: ε xf represents the x-phase stator current residual after the inverter open-circuit fault, i xf represents the x-phase stator current of the permanent magnet synchronous motor after the inverter open-circuit fault.
进一步地,所述步骤(3)中的误差极性函数表达式如下:Furthermore, the error polarity function expression in step (3) is as follows:
其中:Λx表示x相的误差极性函数,r1为给定的判断阈值。Where: Λ x represents the error polarity function of the x phase, and r 1 is the given judgment threshold.
进一步地,所述步骤(4)的具体实现方式为:首先在给定的转子位置角区间θ1~θ2内对误差极性函数Λx进行多次采样,将其平均值定义为定子电流偏置度,用于表征定子电流的畸变特征,具体表达式如下:Furthermore, the specific implementation of step (4) is as follows: first, the error polarity function Λ x is sampled multiple times in a given rotor position angle interval θ 1 to θ 2 , and its average value is defined as the stator current bias degree, which is used to characterize the distortion characteristics of the stator current. The specific expression is as follows:
其中:χx表示x相定子电流偏置度。Where: χ x represents the x-phase stator current bias.
进一步地,所述步骤(5)中通过以下关系式构造误差判别函数:Furthermore, in step (5), the error discrimination function is constructed by the following relational expression:
Fab=sgn(χa-χb)F ab =sgn(χ a -χ b )
Fbc=sgn(χb-χc)F bc =sgn(χ b -χ c )
Fca=sgn(χc-χa) Fca =sgn( χc - χa )
其中:Fab表示ab两相定子电流偏置度之间的误差判别函数,Fbc表示bc两相定子电流偏置度之间的误差判别函数,Fca表示ca两相定子电流偏置度之间的误差判别函数,sgn()表示符号函数。Wherein: F ab represents the error discrimination function between the stator current bias degrees of the two phases ab, F bc represents the error discrimination function between the stator current bias degrees of the two phases bc, F ca represents the error discrimination function between the stator current bias degrees of the two phases ca, and sgn() represents the sign function.
进一步地,所述步骤(5)中对逆变器开路故障进行诊断的标准如下:Furthermore, the standard for diagnosing the inverter open circuit fault in step (5) is as follows:
若Fab=-1,Fbc=Fca=1,则判定逆变器a相上管开路故障;If F ab = -1, F bc = F ca = 1, it is determined that the inverter a phase upper tube is open circuit fault;
若Fab=1,Fbc=Fca=-1,则判定逆变器a相下管开路故障;If F ab = 1, F bc = F ca = -1, it is determined that the inverter a phase lower tube is open circuit fault;
若Fbc=-1,Fab=Fca=1,则判定逆变器b相上管开路故障;If F bc = -1, F ab = F ca = 1, it is determined that the inverter b phase upper tube is open circuit fault;
若Fbc=1,Fab=Fca=-1,则判定逆变器b相下管开路故障;If F bc = 1, F ab = F ca = -1, it is determined that the inverter b phase lower tube is open circuit fault;
若Fca=-1,Fab=Fbc=1,则判定逆变器c相上管开路故障;If Fca = -1, Fab = Fbc = 1, it is determined that the upper tube of phase c of the inverter is open circuit fault;
若Fca=1,Fab=Fbc=-1,则判定逆变器c相下管开路故障;If Fca = 1, Fab = Fbc = -1, it is determined that the lower tube of phase c of the inverter is open circuit fault;
若Fab=Fbc=Fca=0,则判定逆变器不存在开路故障。If Fab = Fbc = Fca = 0, it is determined that there is no open circuit fault in the inverter.
正常运行时的噪声干扰会产生伪故障信号,为解决伪故障信号干扰的问题,优选地,所述步骤(5)中对逆变器开路故障进行诊断的具体实现方式为:首先采用故障后三相定子电流残差的绝对值之和作为故障检测的辅助变量εm,即εm=|εaf|+|εbf|+|εcf|;进而采用故障检测触发信号Fg量化辅助变量εm,即:Noise interference during normal operation will produce false fault signals. In order to solve the problem of false fault signal interference, preferably, the specific implementation method of diagnosing the inverter open circuit fault in step (5) is: first, the sum of the absolute values of the three-phase stator current residuals after the fault is used as the auxiliary variable ε m for fault detection, that is, ε m =|ε af |+|ε bf |+|ε cf |; and then the fault detection trigger signal F g is used to quantify the auxiliary variable ε m , that is:
其中:tr0为给定的故障检测阈值;Where: tr 0 is the given fault detection threshold;
然后,根据故障检测触发信号Fg以及误差判别函数构建统一的故障定位标志F,即F=Fg(4Fab+2Fbc+Fca);Then, a unified fault location mark F is constructed according to the fault detection trigger signal Fg and the error discrimination function, that is, F= Fg ( 4Fab + 2Fbc + Fca );
最后,通过以下标准对逆变器开路故障进行诊断:Finally, the inverter open circuit fault is diagnosed by the following criteria:
若Fg=1,F=-1,则判定逆变器a相上管开路故障;If F g = 1, F = -1, it is determined that the inverter a phase upper tube is open circuit fault;
若Fg=1,F=1,则判定逆变器a相下管开路故障;If F g = 1, F = 1, it is determined that the inverter a phase lower tube is open circuit fault;
若Fg=1,F=3,则判定逆变器b相上管开路故障;If F g = 1, F = 3, it is determined that the inverter b phase upper tube is open circuit fault;
若Fg=1,F=-3,则判定逆变器b相下管开路故障;If F g = 1, F = -3, it is determined that the inverter b phase lower tube is open circuit fault;
若Fg=1,F=5,则判定逆变器c相上管开路故障;If F g = 1, F = 5, it is determined that the inverter c phase upper tube is open circuit fault;
若Fg=1,F=-5,则判定逆变器c相下管开路故障;If F g = 1, F = -5, it is determined that the inverter c phase lower tube is open circuit fault;
若Fg=F=0,则判定逆变器不存在开路故障。If F g =F=0, it is determined that there is no open circuit fault in the inverter.
基于上述技术方案,本发明具有以下有益技术效果:Based on the above technical solution, the present invention has the following beneficial technical effects:
1.本发明方法考虑了控制器反馈调节作用的影响,在不同控制参数下具有强泛化能力。1. The method of the present invention takes into account the influence of the feedback regulation of the controller and has strong generalization ability under different control parameters.
2.本发明方法只需要闭环控制系统的基本信号(三相电流和转子位置),通用性强,适用范围更广。2. The method of the present invention only requires basic signals (three-phase current and rotor position) of the closed-loop control system, has strong versatility and a wider range of applications.
3.本发明方法不依赖于复杂的模型,计算量小,易于实现。3. The method of the present invention does not rely on complex models, has a small amount of calculation and is easy to implement.
4.本发明方法以故障电流偏置度为特征量,不依赖于电流幅值,对负载变化敏感度低,再加上标么化处理,双重化标准保证了本发明在面对负载变化工况下的鲁棒性。4. The method of the present invention uses the fault current bias as a characteristic quantity, is independent of the current amplitude, and has low sensitivity to load changes. In addition, the standardization process and the dual standard ensure the robustness of the present invention under load change conditions.
5.本发明方法采用三相定子电流瞬时偏置的绝对值之和判断是否发生故障,并将其作为故障检测的辅助变量,提高诊断方法的抗干扰性。5. The method of the present invention uses the sum of the absolute values of the instantaneous bias of the three-phase stator current to determine whether a fault occurs, and uses it as an auxiliary variable for fault detection to improve the anti-interference ability of the diagnostic method.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明永磁同步电机逆变器开路故障诊断方法的流程框图。FIG1 is a flowchart of a method for diagnosing an open-circuit fault of a permanent magnet synchronous motor inverter according to the present invention.
图2为永磁同步电机的逆变器拓扑结构示意图。FIG2 is a schematic diagram of the inverter topology of a permanent magnet synchronous motor.
图3~图5为永磁同步电机逆变器开关器件Sa1发生开路故障前后的实验波形示意图。3 to 5 are schematic diagrams of experimental waveforms before and after an open-circuit fault occurs in the permanent magnet synchronous motor inverter switch device Sa1 .
具体实施方式DETAILED DESCRIPTION
为了更为具体地描述本发明,下面结合附图及具体实施方式对本发明的技术方案进行详细说明。In order to describe the present invention more specifically, the technical solution of the present invention is described in detail below in conjunction with the accompanying drawings and specific implementation methods.
如图1所示,本发明基于电流偏置度的永磁同步电机逆变器开路故障诊断方法,包括如下步骤:As shown in FIG1 , the current bias-based permanent magnet synchronous motor inverter open circuit fault diagnosis method of the present invention comprises the following steps:
步骤1:根据转子位置角和控制器的q轴参考电流构建定子电流观测模型。Step 1: Construct the stator current observation model based on the rotor position angle and the q-axis reference current of the controller.
其中:ix表示永磁同步电机的x相定子电流,x=a、b或c,θe为永磁同步电机的转子位置角,iqref为控制器的q轴参考电流,表示x相定子电流的初始相位Im表示电流幅值。Where: i x represents the x-phase stator current of the permanent magnet synchronous motor, x = a, b or c, θ e is the rotor position angle of the permanent magnet synchronous motor, i qref is the q-axis reference current of the controller, Indicates the initial phase of the x-phase stator current I m represents the current amplitude.
步骤2:通过定子电流观测模型计算获取定子电流残差。Step 2: Obtain the stator current residual through stator current observation model calculation.
其中:εxf表示逆变器开路故障后的x相定子电流残差,ixf表示逆变器开路故障后永磁同步电机的x相定子电流。Wherein: ε xf represents the x-phase stator current residual after the inverter open-circuit fault, i xf represents the x-phase stator current of the permanent magnet synchronous motor after the inverter open-circuit fault.
步骤3:故障特征在于电流误差极性的差异,采用误差极性函数量化定子电流残差,具体地:Step 3: The fault characteristic lies in the difference in the current error polarity. The stator current residual is quantified using the error polarity function. Specifically:
其中:Λx表示x相的误差极性函数,r1为给定的判断阈值。Where: Λ x represents the error polarity function of the x phase, and r 1 is the given judgment threshold.
步骤4:由于噪声干扰和测量误差的存在,在健康状态下难以保证Λx严格为0。因此,在区域(θ1,θ2)内对Λx进行多次采样,将其平均值χx定义为定子电流偏置度,用于表征故障电流的畸变特征,χx表达式为:Step 4: Due to the existence of noise interference and measurement errors, it is difficult to ensure that Λ x is strictly 0 in a healthy state. Therefore, Λ x is sampled multiple times in the region (θ 1 , θ 2 ), and its average value χ x is defined as the stator current bias degree, which is used to characterize the distortion characteristics of the fault current. The expression of χ x is:
永磁同步电机的逆变器拓扑结构如图2所示,其中不同开关器件开路(OpenCircuit,OC)后的故障特征(定位故障器件的核心依据)如表1所示:The inverter topology of the permanent magnet synchronous motor is shown in Figure 2, where the fault characteristics of different switch devices after opening the circuit (OC) (the core basis for locating the faulty device) are shown in Table 1:
表1Table 1
步骤5:根据操作步骤4中得到的故障特征,构造基于故障电流偏置度的误差判别函数:Step 5: According to the fault characteristics obtained in step 4, construct an error discrimination function based on the fault current bias degree:
Fab=sgn(χa-χb)F ab =sgn(χ a -χ b )
Fbc=sgn(χb-χc)F bc =sgn(χ b -χ c )
Fca=sgn(χc-χa) Fca =sgn( χc - χa )
其中:Fab表示ab两相定子电流偏置度之间的误差判别函数,Fbc表示bc两相定子电流偏置度之间的误差判别函数,Fca表示ca两相定子电流偏置度之间的误差判别函数,sgn()表示符号函数。Wherein: F ab represents the error discrimination function between the stator current bias degrees of the two phases ab, F bc represents the error discrimination function between the stator current bias degrees of the two phases bc, F ca represents the error discrimination function between the stator current bias degrees of the two phases ca, and sgn() represents the sign function.
不同开关器件故障对应的Fab、Fbc、Fca如表2所示:The Fab , Fbc and Fca corresponding to different switching device faults are shown in Table 2:
表2Table 2
步骤6:正常运行时的噪声干扰会产生伪故障信号,为解决伪故障信号干扰的问题,采用三相定子电流残差εxf的绝对值之和εm作为故障检测的辅助变量,即:Step 6: Noise interference during normal operation will produce false fault signals. To solve the problem of false fault signal interference, the absolute value sum of the three-phase stator current residual ε xf ε m is used as the auxiliary variable for fault detection, that is:
εm=|εaf|+|εbf|+|εcf|ε m =|ε af |+|ε bf |+|ε cf |
故障检测触发信号Fg为:The fault detection trigger signal Fg is:
其中:tr0为给定的故障检测阈值。Where: tr 0 is the given fault detection threshold.
步骤7:构建统一的故障定位函数,设故障定位标志F为:Step 7: Construct a unified fault location function and set the fault location flag F to:
F=Fg(4Fab+2Fbc+Fca)F= Fg ( 4Fab + 2Fbc + Fca )
不同开关器件故障对应的定位标志F如表3所示:The location marks F corresponding to different switch device faults are shown in Table 3:
表3Table 3
验证例:Verification example:
为了验证本发明永磁同步电机逆变器开路故障诊断方法的有效性和正确性,我们进行了实验验证,实验中使用的逆变器开路故障测试平台及表贴式永磁同步电机参数如表4所示:In order to verify the effectiveness and correctness of the permanent magnet synchronous motor inverter open circuit fault diagnosis method of the present invention, we conducted an experimental verification. The inverter open circuit fault test platform and surface mounted permanent magnet synchronous motor parameters used in the experiment are shown in Table 4:
表4Table 4
我们以两电平变流器的功率器件Sa1开路故障为例进行诊断,图3展示了电机转速n从500r/min增加到800r/min的加速过程中出现Sa1开路后的实验结果,图4展示了负载转矩Te从2Nm增大到6Nm的投载过程中出现Sa1开路后的实验结果,图5展示了不同PI控制参数条件下Sa1发生开路故障后的实验结果,其中(a)子图对应的PI控制参数为Kp=21.15,Ki=2795;(b)子图对应的PI控制参数为Kp=28.2,Ki=3726。We take the open circuit fault of the power device S a1 of the two-level converter as an example for diagnosis. Figure 3 shows the experimental results after S a1 open circuit occurs during the acceleration process when the motor speed n increases from 500r/min to 800r/min. Figure 4 shows the experimental results after S a1 open circuit occurs during the loading process when the load torque T e increases from 2Nm to 6Nm. Figure 5 shows the experimental results after S a1 open circuit fault occurs under different PI control parameters, where the PI control parameters corresponding to subgraph (a) are K p = 21.15, Ki = 2795; the PI control parameters corresponding to subgraph (b) are K p = 28.2, Ki = 3726.
上述实验结果表明:定位标志F计算结果与表3一致,验证了理论分析的正确性;因此,本发明永磁同步电机逆变器开路故障诊断方法针对宽速域范围内不同控制参数下的故障均具有良好诊断效果,对负载变化敏感度低,并且适用于不同工作模式。The above experimental results show that the calculation results of the positioning mark F are consistent with Table 3, which verifies the correctness of the theoretical analysis; therefore, the permanent magnet synchronous motor inverter open circuit fault diagnosis method of the present invention has good diagnostic effect for faults under different control parameters within a wide speed range, has low sensitivity to load changes, and is suitable for different working modes.
上述对实施例的描述是为便于本技术领域的普通技术人员能理解和应用本发明,熟悉本领域技术的人员显然可以容易地对上述实施例做出各种修改,并把在此说明的一般原理应用到其他实施例中而不必经过创造性的劳动。因此,本发明不限于上述实施例,本领域技术人员根据本发明的揭示,对于本发明做出的改进和修改都应该在本发明的保护范围之内。The above description of the embodiments is to facilitate the understanding and application of the present invention by those skilled in the art. It is obvious that those skilled in the art can easily make various modifications to the above embodiments and apply the general principles described herein to other embodiments without creative work. Therefore, the present invention is not limited to the above embodiments. Improvements and modifications made by those skilled in the art to the present invention based on the disclosure of the present invention should be within the protection scope of the present invention.
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