CN114279607A - Cable joint interface pressure monitoring method and device based on acoustic elastic effect - Google Patents
Cable joint interface pressure monitoring method and device based on acoustic elastic effect Download PDFInfo
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Abstract
本发明公开了一种基于声弹性效应的电缆接头界面压力监测方法，包括以下步骤：S1：建立扩张态冷缩管超声波传播时间与内应力的关系；S2：建立硅脂溶胀作用下冷缩管内应力的径向时空分布的理论规律；S3：得到扩张态冷缩管内应力径向分布表达式；S4：关联扩张态冷缩管内应力与界面压力的关系；S5：得到扩张态冷缩管界面压力；本发明还提供一种基于声弹性效应的电缆接头界面压力监测装置，包括电缆本体、冷缩管、超声探头、凹形声透镜、超声/应力分析模块、应力/界面压力转换模块。本发明通过改进冷缩管超声波声弹性算法，结合硅脂溶胀效应，能及时监测电缆接头界面压力，减少界面压力不足导致的电缆接头火灾爆炸事故的发生，提高供电可靠性。
The invention discloses a method for monitoring the interface pressure of a cable joint based on acousto-elastic effect, comprising the following steps: S1: establishing the relationship between the ultrasonic wave propagation time and internal stress of the expanded cold-shrinkable tube; S2: establishing the internal stress of the cold-shrinkable tube under the swelling effect of silicone grease Theoretical law of radial time-space distribution of stress; S3: Obtain the radial distribution expression of the internal stress of the expanded cold shrinkable tube; S4: Correlate the relationship between the internal stress of the expanded cold shrinkable tube and the interface pressure; S5: Obtain the interface pressure of the expanded cold shrinkable tube The invention also provides a cable joint interface pressure monitoring device based on acoustic elastic effect, comprising a cable body, a cold shrinkable tube, an ultrasonic probe, a concave acoustic lens, an ultrasonic/stress analysis module, and a stress/interface pressure conversion module. The invention can monitor the interface pressure of the cable joint in time by improving the ultrasonic acoustic elasticity algorithm of the cold-shrinkable tube, combined with the swelling effect of the silicone grease, reduce the occurrence of fire and explosion accidents of the cable joint caused by insufficient interface pressure, and improve the reliability of power supply.
Description
技术领域technical field
本发明属于电气设备防火防爆预警技术领域，具体涉及一种基于声弹性效应的电缆接头界面压力监测方法，同时，本发明还涉及一种基于声弹性效应的电缆接头界面压力监测装置。The invention belongs to the technical field of fire-proof and explosion-proof early warning of electrical equipment, and in particular relates to a method for monitoring the interface pressure of a cable joint based on acoustoelastic effect.
背景技术Background technique
电力电缆相比架空输电线具有质量轻、占地少、检修方便、受环境影响小等优势，因此在电力系统中有着广泛地运用，其运行的可靠性直接关系着电网系统运作的稳定与安全。由于制造水平、施工条件、环境情况等因素制约，电缆接头容易成为电缆的薄弱环节，在运行中出现局部放电或绝缘老化等情况，使得电缆接头硅橡胶/聚乙烯界面之间的界面压力降低，最终界面压力降低到允许的范围之外会引起界面放电，严重时甚至引起爆炸，造成严重的经济损失和人员伤亡。因此，对电力电缆界面压力进行在线监测对于电力系统的运行可靠性有着重要的应用价值。Compared with overhead transmission lines, power cables have the advantages of light weight, less land occupation, convenient maintenance, and less environmental impact. Therefore, they are widely used in power systems. The reliability of their operation is directly related to the stability and safety of the power grid system. . Due to the constraints of manufacturing level, construction conditions, environmental conditions and other factors, the cable joint is easy to become the weak link of the cable, and partial discharge or insulation aging occurs during operation, which reduces the interface pressure between the silicone rubber/polyethylene interface of the cable joint. When the final interface pressure falls outside the allowable range, it will cause interface discharge, and even cause explosion in severe cases, resulting in serious economic losses and casualties. Therefore, online monitoring of power cable interface pressure has important application value for the operational reliability of power systems.
发明内容SUMMARY OF THE INVENTION
本发明所要解决的技术问题便是针对上述现有技术的不足，提供一种基于声弹性效应的电缆接头界面压力监测方法及装置。The technical problem to be solved by the present invention is to provide a method and device for monitoring the interface pressure of a cable joint based on the acousto-elastic effect, aiming at the above-mentioned deficiencies of the prior art.
本发明采用的技术方案是：一种基于声弹性效应的电缆接头界面压力监测方法，包括以下步骤：The technical scheme adopted in the present invention is: a method for monitoring the interface pressure of a cable joint based on the acoustic elastic effect, comprising the following steps:
S1：建立扩张态冷缩管超声波传播时间与内应力的关系，步骤如下：S1: Establish the relationship between the ultrasonic propagation time and the internal stress of the expanded cold-shrinkable tube. The steps are as follows:
1)选取不同厚度的零应力硅橡胶；1) Select zero-stress silicone rubber with different thicknesses;
2)利用基于声弹性效应的电缆接头界面压力监测装置，开展超声波监测；2) Use the cable joint interface pressure monitoring device based on the acousto-elastic effect to carry out ultrasonic monitoring;
3)记录传播声程与回波时间差；3) Record the difference between the propagation sound path and the echo time;
4)得到零应力传播速度V0；4) Obtain the zero stress propagation velocity V 0 ;
5)对硅橡胶施加垂直于超声波传播方向不同大小的拉力；5) Apply tensile forces of different magnitudes perpendicular to the ultrasonic propagation direction to the silicone rubber;
6)得到内应力下超声波传播速度V；6) Obtain the ultrasonic propagation velocity V under the internal stress;
7)计算超声波声弹性系数K；7) Calculate the ultrasonic sonoelastic coefficient K;
8)改变拉力值，获取不同拉力下的零应力传播速度V0和声弹性系数K；8) Change the tensile force value to obtain the zero stress propagation velocity V 0 and the acoustic elasticity coefficient K under different tensile forces;
9)改变直流场强，获取不同直流场强下的零应力传播速度V0和声弹性系数K；9) Change the DC field strength to obtain the zero stress propagation velocity V 0 and the acoustic elasticity coefficient K under different DC field strengths;
10)建立扩张态冷缩管任意径向位置r、时刻t的声弹性方程，记为：10) Establish the acoustoelasticity equation at any radial position r and time t of the expanded cold-shrinkable tube, which is recorded as:
式中，Kr、Kφ和Kz分别是冷缩管径向、周向和轴向上的声弹性系数，σr、
11)建立扩张态冷缩管超声波传播时间与内应力的关系，对于扩径后壁厚度为d的冷缩管，由于超声波的传播速度远大于冷缩管的松弛速度，可认为在单次探测期间冷缩管任意位置处对应的超声波传播速度保持恒定，仅与位置有关，与时间无关；则冷缩管内超声波回波时间差T为11) Establish the relationship between the ultrasonic wave propagation time and the internal stress of the expanded cold-shrinkable tube. For the cold-shrinkable tube with a wall thickness of d after the expansion, since the propagation speed of the ultrasonic wave is much greater than the relaxation speed of the cold-shrinkable tube, it can be considered that in a single detection. During the period, the ultrasonic propagation velocity at any position of the cold-shrinkable tube remains constant, which is only related to the position and has nothing to do with time; then the ultrasonic echo time difference T in the cold-shrinkable tube is:
式中t0为超声波探测时刻与冷缩管安装时刻之间的时间差；where t 0 is the time difference between the ultrasonic detection time and the installation time of the cold shrink tube;
12)建立冷缩管内超声波传播时间T与其内应力之间的关系，即12) Establish the relationship between the ultrasonic propagation time T in the cold shrinkable tube and its internal stress, namely
S2：建立硅脂溶胀作用下冷缩管内应力的径向时空分布的理论规律，步骤如下：S2: To establish the theoretical law of the radial time-space distribution of the internal stress of the cold-shrinkable tube under the swelling of the silicone grease, the steps are as follows:
1)开展冷缩管吸收硅脂实验，分别选取冷缩管吸收硅脂和不吸收硅脂的两种情况；1) Carry out the silicone grease absorption experiment of the cold shrinkable tube, and select the two cases that the cold shrinkable tube absorbs silicone grease and does not absorb silicone grease;
2)保持冷缩管所处直流电场、扩张应变、温度环境条件不变，测量冷缩管在实验过程中不同径向位置r的应力σφ；2) Keep the DC electric field, expansion strain, and temperature environment conditions where the cold-shrinkable tube is located unchanged, and measure the stress σ φ of the cold-shrinkable tube at different radial positions r during the experiment;
3)改变冷缩管所处直流电场、扩张应变、温度环境条件，再次进行测量；3) Change the DC electric field, expansion strain, and temperature environment conditions where the cold-shrinkable tube is located, and measure again;
4)得到冷缩管吸收硅脂与应力σφ变化的关系，记为σφ＝σφ(r,t)；4) Obtain the relationship between the silicone grease absorbed by the cold-shrinkable tube and the change of stress σ φ , which is recorded as σ φ =σ φ (r,t);
5)关联扩张态冷缩管声弹性方程与应力松弛特性表达式，得到扩张态冷缩管内应力的径向时空分布理论规律，记为σφ＝σφ(r,t；k)，其中k为周向应力数学表达式中的参量向量；5) Correlate the acoustic elastic equation of the expanded cold-shrinkable tube with the expression of the stress relaxation characteristic, and obtain the theoretical law of the radial time-space distribution of the internal stress of the expanded cold-shrinkable tube, denoted as σ φ =σ φ (r, t; k), where k is the parameter vector in the mathematical expression of circumferential stress;
S3：得到扩张态冷缩管内应力径向分布表达式：S3: The radial distribution expression of the internal stress of the expanded cold-shrinkable tube is obtained:
T(t0)＝f(t0；d,k)T(t 0 )=f(t 0 ; d,k)
在间隔较长的不同时刻开展超声波探测，获得系列t0对应的系列T，建立以d和k为未知数的多阶矩阵，根据矩阵理论得到d和k；Carry out ultrasonic detection at different times with long intervals, obtain series T corresponding to series t 0 , establish multi-order matrices with d and k as unknowns, and obtain d and k according to matrix theory;
S4：关联扩张态冷缩管内应力与界面压力的关系：S4: The relationship between the internal stress and the interface pressure of the expansion-state cold-shrinkable tube:
f1＝εcircular(x1)·E(x1,t)f 1 = εcircular (x 1 )·E(x 1 ,t)
式中f1为冷缩管t时刻在径向位置x1处的内应力，f为冷缩管界面压力，D0为冷缩管厚度，R0为扩张态冷缩管内径；where f 1 is the internal stress of the cold-shrinkable tube at the radial position x 1 at time t, f is the interface pressure of the cold-shrinkable tube, D 0 is the thickness of the cold-shrinkable tube, and R 0 is the inner diameter of the expanded cold-shrinkable tube;
S5：得到扩张态冷缩管界面压力f。S5: Obtain the interface pressure f of the expanded cold-shrinkable tube.
作为优选，所述传播声程为硅橡胶厚度的两倍，回波时间差为超声波脉冲在硅橡胶内传播后第一回波与始波的时间差或第一回波与第二回波的时间差。Preferably, the propagation sound path is twice the thickness of the silicone rubber, and the echo time difference is the time difference between the first echo and the original wave or the time difference between the first echo and the second echo after the ultrasonic pulse propagates in the silicone rubber.
作为优选，零应力传播速度V0为不同厚度硅橡胶对应的零应力传播速度的平均值。Preferably, the zero-stress propagation velocity V 0 is the average value of zero-stress propagation velocities corresponding to different thicknesses of silicone rubber.
作为优选，所述冷缩管吸收硅脂实验是基于优化正交实验技术下开展的，从而获取不同环境条件组合下硅橡胶扩张应力和吸收硅脂量的时变规律。Preferably, the silicone grease absorption experiment of the cold-shrinkable tube is carried out based on an optimized orthogonal experimental technique, so as to obtain the time-varying law of the expansion stress of the silicone rubber and the amount of silicone grease absorbed under different combinations of environmental conditions.
本发明还提供一种基于声弹性效应的电缆接头界面压力监测装置，包括电缆本体、冷缩管、超声探头、凹形声透镜、超声/应力分析模块、应力/界面压力转换模块，其特征在于：所述超声探头具有超声波发射接收功能，所述凹形声透镜能汇聚超声波信号并完美贴合在冷缩管的表面上，所述超声/应力分析模块、应力/界面压力转换模块均是基于上述步骤S1-S5中的算法实现的。The present invention also provides a cable joint interface pressure monitoring device based on acoustoelastic effect, comprising a cable body, a cold shrinkable tube, an ultrasonic probe, a concave acoustic lens, an ultrasonic/stress analysis module, and a stress/interface pressure conversion module, characterized in that: The ultrasonic probe has the function of transmitting and receiving ultrasonic waves. The concave acoustic lens can gather ultrasonic signals and fit perfectly on the surface of the cold shrinkable tube. The ultrasonic/stress analysis module and the stress/interface pressure conversion module are based on the above steps. The algorithms in S1-S5 are implemented.
本发明的技术效果和优点，本发明提出的一种基于声弹性效应的电缆接头界面压力监测方法及装置，与现有技术相比，具有以下优点：The technical effects and advantages of the present invention, a method and device for monitoring the interface pressure of a cable joint based on the acoustoelastic effect proposed by the present invention, compared with the prior art, have the following advantages:
1、本发明能充分考虑到冷缩管在安装后由硅脂溶胀作用导致的应力松弛加速问题，使其监测具有实际意义；1. The present invention can fully consider the stress relaxation acceleration problem caused by the swelling effect of silicone grease after the installation of the cold shrinkable tube, so that its monitoring has practical significance;
2、本发明能针对不同厚度冷缩管，在不同直流电场、扩张应变、温度环境条件下实现有效监测，通用性强；2. The present invention can realize effective monitoring under different DC electric field, expansion strain, and temperature environment conditions for cold-shrinkable tubes of different thicknesses, and has strong versatility;
3、本发明通过改进扩张态冷缩管超声波声弹性算法，将其应用到电缆接头界面压力在线监测装置中，创新性强。3. The present invention is highly innovative by improving the ultrasonic acoustic elasticity algorithm of the expanded cold-shrinkable tube and applying it to the on-line monitoring device for the interface pressure of the cable joint.
4、本发明建立的方程形式适用于所有电缆接头冷缩管，仅系数不同，只需针对不同冷缩管测试确定系数，不需要知晓冷缩管及其硅橡胶的任何物性参数。4. The equation form established by the present invention is applicable to all cable joint cold-shrinkable tubes, only the coefficients are different, and the coefficients only need to be determined for different cold-shrinkable tubes, without knowing any physical parameters of the cold-shrinkable tube and its silicone rubber.
附图说明Description of drawings
图1为本发明的实验原理流程图；Fig. 1 is the experimental principle flow chart of the present invention;
图2为本发明的结构示意图；Fig. 2 is the structural representation of the present invention;
图3为本发明的超声波传播路径示意图；3 is a schematic diagram of an ultrasonic propagation path of the present invention;
图4为本发明的超声波回波时间差T的示意图；4 is a schematic diagram of the ultrasonic echo time difference T of the present invention;
图5为电缆接头冷缩管某一处上的周向应力f1、界面压力f的说明示意图。FIG. 5 is a schematic diagram illustrating the circumferential stress f 1 and the interface pressure f on a certain part of the cold shrinkable tube of the cable joint.
图中：1电缆本体、2冷缩管、3超声探头、4凹形声透镜、5超声/应力分析模块，6应力/界面压力转换模块。In the picture: 1 cable body, 2 cold shrinkable tube, 3 ultrasonic probe, 4 concave acoustic lens, 5 ultrasonic/stress analysis module, 6 stress/interface pressure conversion module.
具体实施方式Detailed ways
下面将结合附图及具体实施例对本发明作进一步详细说明。The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
如图1-5所示的一种基于声弹性效应的电缆接头界面压力监测方法，包括以下步骤：As shown in Figure 1-5, a method for monitoring the interface pressure of a cable joint based on the acoustoelastic effect includes the following steps:
S1：建立扩张态冷缩管超声波传播时间与内应力的关系，步骤如下：S1: Establish the relationship between the ultrasonic propagation time and the internal stress of the expanded cold-shrinkable tube. The steps are as follows:
1)选取不同厚度的零应力硅橡胶；1) Select zero-stress silicone rubber with different thicknesses;
2)利用基于声弹性效应的电缆接头界面压力监测装置，开展超声波监测；2) Use the cable joint interface pressure monitoring device based on the acousto-elastic effect to carry out ultrasonic monitoring;
3)记录传播声程与回波时间差；3) Record the difference between the propagation sound path and the echo time;
4)得到零应力传播速度V0；4) Obtain the zero stress propagation velocity V 0 ;
5)对硅橡胶施加垂直于超声波传播方向不同大小的拉力；5) Apply tensile forces of different magnitudes perpendicular to the ultrasonic propagation direction to the silicone rubber;
6)得到内应力下超声波传播速度V；6) Obtain the ultrasonic propagation velocity V under the internal stress;
7)计算超声波声弹性系数K；7) Calculate the ultrasonic sonoelastic coefficient K;
8)改变拉力值，获取不同拉力下的零应力传播速度V0和声弹性系数K；8) Change the tensile force value to obtain the zero stress propagation velocity V 0 and the acoustic elasticity coefficient K under different tensile forces;
9)改变直流场强，获取不同直流场强下的零应力传播速度V0和声弹性系数K；9) Change the DC field strength to obtain the zero stress propagation velocity V 0 and the acoustic elasticity coefficient K under different DC field strengths;
10)建立扩张态冷缩管任意径向位置r、时刻t的声弹性方程，记为：10) Establish the acoustoelasticity equation at any radial position r and time t of the expanded cold-shrinkable tube, which is recorded as:
式中，Kr、Kφ和Kz分别是冷缩管径向、周向和轴向上的声弹性系数，σr、
11)建立扩张态冷缩管超声波传播时间与内应力的关系，对于扩径后壁厚度为d的冷缩管，由于超声波的传播速度远大于冷缩管的松弛速度，可认为在单次探测期间冷缩管任意位置处对应的超声波传播速度保持恒定，仅与位置有关，与时间无关；则冷缩管内超声波回波时间差T为11) Establish the relationship between the ultrasonic wave propagation time and the internal stress of the expanded cold-shrinkable tube. For the cold-shrinkable tube with a wall thickness of d after the expansion, since the propagation speed of the ultrasonic wave is much greater than the relaxation speed of the cold-shrinkable tube, it can be considered that in a single detection. During the period, the ultrasonic propagation velocity at any position of the cold-shrinkable tube remains constant, which is only related to the position and has nothing to do with time; then the ultrasonic echo time difference T in the cold-shrinkable tube is:
式中t0为超声波探测时刻与冷缩管安装时刻之间的时间差；where t 0 is the time difference between the ultrasonic detection time and the installation time of the cold shrink tube;
12)建立冷缩管内超声波传播时间T与其内应力之间的关系，即12) Establish the relationship between the ultrasonic propagation time T in the cold shrinkable tube and its internal stress, namely
S2：建立硅脂溶胀作用下冷缩管内应力的径向时空分布的理论规律，步骤如下：S2: To establish the theoretical law of the radial time-space distribution of the internal stress of the cold-shrinkable tube under the swelling of the silicone grease, the steps are as follows:
1)开展冷缩管吸收硅脂实验，分别选取冷缩管吸收硅脂和不吸收硅脂的两种情况；1) Carry out the silicone grease absorption experiment of the cold shrinkable tube, and select the two cases that the cold shrinkable tube absorbs silicone grease and does not absorb silicone grease;
2)保持冷缩管所处直流电场、扩张应变、温度环境条件不变，测量冷缩管在实验过程中不同径向位置r的应力σφ；2) Keep the DC electric field, expansion strain, and temperature environment conditions where the cold-shrinkable tube is located unchanged, and measure the stress σ φ of the cold-shrinkable tube at different radial positions r during the experiment;
3)改变冷缩管所处直流电场、扩张应变、温度环境条件，再次进行测量；3) Change the DC electric field, expansion strain, and temperature environment conditions where the cold-shrinkable tube is located, and measure again;
4)得到冷缩管吸收硅脂与应力σφ变化的关系，记为σφ＝σφ(r,t)；4) Obtain the relationship between the silicone grease absorbed by the cold-shrinkable tube and the change of stress σ φ , which is recorded as σ φ =σ φ (r,t);
5)关联扩张态冷缩管声弹性方程与应力松弛特性表达式，得到扩张态冷缩管内应力的径向时空分布理论规律，记为σφ＝σφ(r,t；k)，其中k为周向应力数学表达式中的参量向量；5) Correlate the acoustic elastic equation of the expanded cold-shrinkable tube with the expression of the stress relaxation characteristic, and obtain the theoretical law of the radial time-space distribution of the internal stress of the expanded cold-shrinkable tube, denoted as σ φ =σ φ (r, t; k), where k is the parameter vector in the mathematical expression of circumferential stress;
S3：得到扩张态冷缩管内应力径向分布表达式：S3: The radial distribution expression of the internal stress of the expanded cold-shrinkable tube is obtained:
T(t0)＝f(t0；d,k)T(t 0 )=f(t 0 ; d,k)
在间隔较长的不同时刻开展超声波探测，获得系列t0对应的系列T，建立以d和k为未知数的多阶矩阵，根据矩阵理论得到d和k；Carry out ultrasonic detection at different times with long intervals, obtain series T corresponding to series t 0 , establish multi-order matrices with d and k as unknowns, and obtain d and k according to matrix theory;
S4：关联扩张态冷缩管内应力与界面压力的关系：S4: The relationship between the internal stress and the interface pressure of the expansion-state cold-shrinkable tube:
f1＝εcircular(x1)·E(x1,t)f 1 = εcircular (x 1 )·E(x 1 ,t)
式中f1为冷缩管t时刻在径向位置x1处的内应力，f为冷缩管界面压力，D0为冷缩管厚度，R0为扩张态冷缩管内径；where f 1 is the internal stress of the cold-shrinkable tube at the radial position x 1 at time t, f is the interface pressure of the cold-shrinkable tube, D 0 is the thickness of the cold-shrinkable tube, and R 0 is the inner diameter of the expanded cold-shrinkable tube;
S5：得到扩张态冷缩管界面压力f。S5: Obtain the interface pressure f of the expanded cold-shrinkable tube.
本发明还提供一种基于声弹性效应的电缆接头界面压力监测装置，包括电缆本体、冷缩管、超声探头、凹形声透镜、超声/应力分析模块、应力/界面压力转换模块，其特征在于：所述超声探头具有超声波发射接收功能，所述凹形声透镜能汇聚超声波信号并完美贴合在冷缩管的表面上，所述超声/应力分析模块、应力/界面压力转换模块均是基于上述步骤S1-S5中的算法实现的。The present invention also provides a cable joint interface pressure monitoring device based on acoustoelastic effect, comprising a cable body, a cold shrinkable tube, an ultrasonic probe, a concave acoustic lens, an ultrasonic/stress analysis module, and a stress/interface pressure conversion module, characterized in that: The ultrasonic probe has the function of transmitting and receiving ultrasonic waves. The concave acoustic lens can gather ultrasonic signals and fit perfectly on the surface of the cold shrinkable tube. The ultrasonic/stress analysis module and the stress/interface pressure conversion module are based on the above steps. The algorithms in S1-S5 are implemented.
实施例1Example 1
1、在电缆接头冷缩管表面安装凹形声透镜，使其完美贴合在冷缩管的表面上；1. Install a concave acoustic lens on the surface of the cold-shrinkable tube of the cable joint to make it fit perfectly on the surface of the cold-shrinkable tube;
2、安装超声探头，使其垂直于凹形声透镜入射；2. Install the ultrasonic probe so that it is incident perpendicular to the concave acoustic lens;
3、连接超声/应力分析模块、应力/界面压力转换模块，启动装置，开展超声波监测；3. Connect the ultrasonic/stress analysis module and the stress/interface pressure conversion module, start the device, and carry out ultrasonic monitoring;
4、获得超声波回波时间差T，经超声/应力分析模块得到冷缩管内应力；4. Obtain the ultrasonic echo time difference T, and obtain the internal stress of the cold shrinkable tube through the ultrasonic/stress analysis module;
5、经应力/界面压力转换模块输出电缆接头界面压力。5. The interface pressure of the cable joint is output through the stress/interface pressure conversion module.
6、进行多次测量，将多次结果的平均值作为最终测得的电缆接头界面压力。6. Carry out multiple measurements, and take the average value of the multiple results as the final measured cable joint interface pressure.
以上所述仅是本发明优选的实施方式，但本发明的保护范围并不局限于此，任何基于本发明所提供的技术方案和发明构思进行的改造和替换都应涵盖在本发明的保护范围内。The above are only the preferred embodiments of the present invention, but the protection scope of the present invention is not limited to this. Any modification and replacement based on the technical solutions and inventive concepts provided by the present invention should be covered by the protection scope of the present invention. Inside.
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