CN103984837A - Method for analyzing influence of time-varying channel of deep sea navigation XCTD on transmission performance - Google Patents

Method for analyzing influence of time-varying channel of deep sea navigation XCTD on transmission performance Download PDF

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CN103984837A
CN103984837A CN201410242097.7A CN201410242097A CN103984837A CN 103984837 A CN103984837 A CN 103984837A CN 201410242097 A CN201410242097 A CN 201410242097A CN 103984837 A CN103984837 A CN 103984837A
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transmission
channel
inductance
phase
signal
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郑羽
付孝洪
高宇
方静
王金海
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Tiangong University
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Tianjin Polytechnic University
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Abstract

本发明以走航抛弃式温度、盐度、湿度剖面仪的传输信道为原型,提出了一种动态分析其有线信道对传输信号幅值和相位影响的方法。随着放线长度不断变化,导致线上参数不断变化,不能保证稳定的信道,这种实时改变的信道阻抗特性严重影响了深海走航抛弃式测量仪器信道传输的稳定性。本发明建立简化的传输电路模型和该模型的传输函数。通过定性的分析得出传输频率,分布电容和缠绕电感对信号相位的影响。并利用MATLAB软件分析XCTD在动态放线过程中信道对信号幅值和相位的影响。可以进一步指导抛弃式走航测量系统的电路设计,提高测量数据的精度和信号传输的稳定性。The invention takes the transmission channel of the mobile disposable temperature, salinity and humidity profiler as a prototype, and proposes a method for dynamically analyzing the influence of the wired channel on the amplitude and phase of the transmission signal. With the continuous change of the pay-off length, the online parameters are constantly changing, and a stable channel cannot be guaranteed. This real-time changing channel impedance characteristic seriously affects the channel transmission stability of the deep-sea navigation disposable measuring instrument. The invention establishes a simplified transmission circuit model and the transmission function of the model. Through qualitative analysis, the influence of transmission frequency, distributed capacitance and winding inductance on signal phase is obtained. And use MATLAB software to analyze the influence of the channel on the signal amplitude and phase during the dynamic pay-out process of XCTD. It can further guide the circuit design of the disposable navigation measurement system, improve the accuracy of measurement data and the stability of signal transmission.

Description

深海走航XCTD时变信道对传输性能影响的分析方法Analysis method of influence of time-varying channel on transmission performance in deep-sea navigation XCTD

技术领域technical field

本发明以走航抛弃式温度、盐度、湿度(XCTD)剖面仪的传输信道为原型,提出了一种动态分析其有线信道对传输信号幅值和相位影响的方法。The invention takes the transmission channel of a mobile disposable temperature, salinity and humidity (XCTD) profiler as a prototype, and proposes a method for dynamically analyzing the influence of the wired channel on the amplitude and phase of the transmission signal.

背景技术Background technique

抛弃式测量仪器主要的产品为温度剖面仪(XBT),温盐剖面仪(XCTD),声速剖面仪(XSV)和海流剖面仪(XCP)等,其中XCTD最为常用。该类仪器为一次性使用,由水上接收机和水下探头两部分组成,入水后探头中的传感器即开始测量,随着测量探头在水中的下沉(速度约3~5m/s),探头内部的数据采集器实时完成海洋环境参量的采集、处理和传输,以数字信号形式通过探头内的细传输线同步传到船上,最终形成测量剖面图。由于环境的要求,深海走航抛弃式测量仪器信号传输部分大多使用有线信道,随着探头的快速下降,原缠绕在线轴上的传输线不断释放,随放线长度不断变化,线轴的电感量不断减小,展开传输线线间电容不断增大,信道的电阻抗,线间电容对信号的完整性传输的破坏性越来越大,线上分布参数不断变化,不能保证稳定的信道,这种动态实时改变的信道阻抗特性破坏了信号传输的稳定性,信号畸变严重,严重影响了深海走航抛弃式测量仪器信道传输的稳定性。尤其在高速率通讯时,常用的数字通讯方式已无法适用于这种工况,给信号解调带来极大的困难。The main products of disposable measuring instruments are temperature profiler (XBT), temperature and salinity profiler (XCTD), sound velocity profiler (XSV) and ocean current profiler (XCP), among which XCTD is the most commonly used. This type of instrument is for one-time use. It consists of two parts: an underwater receiver and an underwater probe. After entering the water, the sensor in the probe starts to measure. The internal data collector completes the collection, processing and transmission of marine environmental parameters in real time, and transmits them to the ship synchronously in the form of digital signals through the thin transmission line in the probe, and finally forms a measurement profile. Due to the requirements of the environment, most of the signal transmission part of the deep-sea navigation disposable measuring instrument uses a wired channel. With the rapid decline of the probe, the transmission line originally wound on the spool is continuously released, and the inductance of the spool continues to decrease as the length of the pay-off line changes Small, the capacitance between the expanded transmission lines is increasing, the electrical impedance of the channel, and the capacitance between the lines is becoming more and more destructive to the integrity transmission of the signal, and the distribution parameters on the line are constantly changing, which cannot guarantee a stable channel. This dynamic real-time The changed channel impedance characteristics destroy the stability of signal transmission, and the signal distortion is serious, which seriously affects the channel transmission stability of deep-sea navigation disposable measuring instruments. Especially in high-speed communication, the commonly used digital communication methods are no longer applicable to this working condition, which brings great difficulties to signal demodulation.

根据所做过的一些研究表明,XCTD(抛弃式盐、温、深)剖面仪下沉到一定深度后信号传输严重失真,因此本发明首先推导出各电路参数随信道长度变化的规律,建立简化的传输电路模型和该模型的传输函数。通过定性的分析得出传输频率,分布电容和缠绕电感对信号相位的影响。并利用MATLAB软件分析XCTD在动态放线过程中信道对信号幅值和相位的影响,以及其影响的原因。可以进一步指导抛弃式走航测量系统的电路设计,提高测量数据的精度和信号传输的稳定性。According to some studies done, the XCTD (disposable salt, temperature, depth) profiler sinks to a certain depth, and the signal transmission is severely distorted. Therefore, the present invention first deduces the law that each circuit parameter varies with the channel length, and establishes a simplified The transmission circuit model of and the transfer function of this model. Through qualitative analysis, the influence of transmission frequency, distributed capacitance and winding inductance on signal phase is obtained. And use MATLAB software to analyze the channel's influence on the signal amplitude and phase during the dynamic pay-out process of XCTD, as well as the reason of the influence. It can further guide the circuit design of the disposable navigation measurement system, improve the accuracy of measurement data and the stability of signal transmission.

发明内容Contents of the invention

本发明的目的是解决XCTD在传输信号的过程中,时变信道对传输性能的影响,提出了一种动态分析其有线信道对传输信号幅值和相位影响的方法。The purpose of the present invention is to solve the influence of the time-varying channel on the transmission performance in the process of XCTD signal transmission, and proposes a method for dynamically analyzing the influence of its wired channel on the amplitude and phase of the transmission signal.

本发明方法根据具体应用环境建立了XCTD传输信道的模型,并利用MATLAB软件分析XCTD在动态放线过程中信道对信号幅值和相位的影响,以及其影响的原因。The method of the invention establishes the model of the XCTD transmission channel according to the specific application environment, and uses MATLAB software to analyze the influence of the channel on the signal amplitude and phase of the XCTD in the dynamic payout process, and the cause of the influence.

本发明以走航抛弃式温度、盐度、湿度(XCTD)剖面仪的传输信道为原型,在考虑海水这个导体环境下,估算放线长度与传输线电路电容(C),电感(L),电阻(R)的关系,并精确对信道阻抗值进行求解,并进一步讨论参数间的相互影响关系,建立优化后的变参数信道电路模型,分析2000m范围内线圈动态放线过程中各参数变化对信号幅值和相位的影响,讨论这种时变传输信道对信号传输性能的影响,可以解决我国投弃式海洋环境监测仪器的技术发展的瓶颈问题。The present invention takes the transmission channel of the disposable temperature, salinity, humidity (XCTD) profiler as the prototype, and estimates the length of the payout line and the capacitance (C), inductance (L), and resistance of the transmission line circuit under the conductor environment of seawater. (R), and accurately solve the channel impedance value, and further discuss the mutual influence relationship between parameters, establish an optimized variable parameter channel circuit model, and analyze the influence of each parameter change on the signal during the coil dynamic unwinding process within the range of 2000m. The impact of amplitude and phase, discussing the impact of this time-varying transmission channel on signal transmission performance, can solve the bottleneck problem of the technical development of disposable marine environmental monitoring instruments in our country.

本发明的技术方案:Technical scheme of the present invention:

本发明基于水下XCTD剖面仪传输信道,发明了一种应用MATLAB软件建模分析的方法,可表述为,采用MATLAB分析信道传输的稳定性,从而得到两金属导线之间的分布电容值以及每一根金属导线与海水之间的电容值。最后将所得的这两个电容值和理论计算值进行比较,来验证仿真结果的正确性。Based on the transmission channel of the underwater XCTD profiler, the present invention invents a method for modeling and analysis using MATLAB software. The capacitance between a metal wire and sea water. Finally, the two capacitance values obtained are compared with the theoretically calculated values to verify the correctness of the simulation results.

本发明提供的深海走航XCTD时变信道对传输性能影响的分析方法,具体步骤是:The method for analyzing the impact of the XCTD time-varying channel on the transmission performance of deep-sea navigation provided by the present invention, the specific steps are:

第1步、信道分布电容的计算Step 1. Calculation of channel distributed capacitance

本发明采用通过多次配置镜像电荷的方法来求解平行导线间的电容,用多次镜像后的集中电荷系取代导体表面的分布电荷,而维持诸边界条件不变,从而使电容的求解过程简化,其主要根据是电磁理论中的唯一性定理和圆截面导线镜像公式,计算模型如图1左图所示。The present invention solves the capacitance between parallel conductors by configuring the image charge multiple times, replaces the distributed charge on the surface of the conductor with the concentrated charge system after multiple mirror images, and keeps the boundary conditions unchanged, thereby simplifying the solution process of the capacitance , which is mainly based on the uniqueness theorem in electromagnetic theory and the mirror image formula of circular cross-section conductors. The calculation model is shown in the left figure of Figure 1.

第2步、信道分布缠绕电感和分布电阻的计算Step 2. Calculation of channel distributed winding inductance and distributed resistance

本发明线圈缠绕为标准螺旋电感,其电感紧密的缠绕在圆柱型骨架上,中间介质为空气,计算模型如图1右图所示。根据分析,采用Brooks Coil Inductance模型估算缠绕线轴的电感量,电感值与线轴线长的变化规律如图2所示。The coil of the present invention is wound as a standard spiral inductor, the inductance of which is tightly wound on a cylindrical frame, and the intermediate medium is air. The calculation model is shown in the right figure of Figure 1. According to the analysis, the Brooks Coil Inductance model is used to estimate the inductance of the winding bobbin, and the change law of the inductance value and the length of the bobbin is shown in Figure 2.

第3步、信道传输模型的建立Step 3. Establishment of channel transmission model

本发明根据放线过程中的各参数的变化规律,建立了简化的信道电路模型图,如图3所示。由于传输线为双股漆包线,缠绕方式和所处环境等影响因素完全相同,所以电路模型上下对称,参数数值相等。The present invention establishes a simplified channel circuit model diagram, as shown in FIG. Since the transmission line is a double-strand enameled wire, the winding mode and the environment and other influencing factors are exactly the same, so the circuit model is symmetrical up and down, and the parameter values are equal.

第4步、进行500m深信道静态阻抗对传输相位的分析Step 4: Analyze the static impedance of the 500m deep channel on the transmission phase

由于目前在大深度测量过程中,为了提高数据传输的稳定性和质量,减少数据传输的误码率,因此在通信过程中数据的传输采用调相编码与解调方式,分析信道阻抗动态变化对数据传输相位的影响具有重要的意义。In order to improve the stability and quality of data transmission and reduce the bit error rate of data transmission in the process of large-depth measurement, phase-modulation encoding and demodulation are used for data transmission in the communication process, and the impact of dynamic changes in channel impedance is analyzed. The influence of the data transmission phase is of great significance.

第5步、2000m信道动态阻抗对传输相位的分析Step 5. Analysis of 2000m channel dynamic impedance on transmission phase

由于目前大深度测量的范围在2000m内,因此分析2000m深度范围内动态阻抗信道对信号相位失真分析具有重要的意义。Since the current large-depth measurement range is within 2000m, it is of great significance to analyze the dynamic impedance channel within the depth range of 2000m for signal phase distortion analysis.

本发明的优点和有益效果:Advantages and beneficial effects of the present invention:

本发明针对于深海走航XCTD传输信道阻抗动态变化会很大程度上影响信号传输的质量,并且当剖面仪下沉到一定深度后信号传输严重失真,变参数对信道数据传输的完整性的破坏性越来越大,因此提出一种对深海走航XCTD时变信道传输性能影响的分析方法,该方法避免了由于几千米完全展开的实时测量难度较大的影响,并且对于了解信道阻抗参数变化特点,建立信道的传输模型,分析变参数信道数据的传输特性提供一定的理论指导意义。The present invention is aimed at the dynamic change of XCTD transmission channel impedance in deep sea navigation will greatly affect the quality of signal transmission, and when the profiler sinks to a certain depth, the signal transmission is seriously distorted, and the change of parameters will damage the integrity of channel data transmission Therefore, an analysis method for the influence of time-varying channel transmission performance on deep sea navigation XCTD is proposed. It provides certain theoretical guidance significance by analyzing the transmission characteristics of variable parameter channel data.

附图说明Description of drawings

图1是传输线模型图,其中(a)为缠绕电感模型图,(b)传输线截面图。Figure 1 is a diagram of a transmission line model, where (a) is a model diagram of a winding inductor, and (b) is a cross-sectional diagram of a transmission line.

图2是电感随线轴线长的变化规律图。Figure 2 is a diagram of the change law of inductance with the length of the wire axis.

图3是信道简化电路模型图。Figure 3 is a simplified circuit model diagram of the channel.

图4是电路参数和传输频率对信号相位影响定性分析图。图中(a)80nF平行电容下1pH相位延时曲线,(b)0.3H缠绕电感下8pF相位延时曲线,(c)80nF平行电容下0.04H相位延时曲线,(d)0.3H缠绕电感下8nF相位延时曲线,(e)80nF平行电容下0.3H相位延时曲线,(f)0.3H缠绕电感下0.2uF相位延时曲线。Figure 4 is a qualitative analysis diagram of the influence of circuit parameters and transmission frequency on the signal phase. In the figure (a) 1pH phase delay curve under 80nF parallel capacitor, (b) 8pF phase delay curve under 0.3H winding inductor, (c) 0.04H phase delay curve under 80nF parallel capacitor, (d) 0.3H winding inductor The following 8nF phase delay curve, (e) 0.3H phase delay curve under 80nF parallel capacitor, (f) 0.2uF phase delay curve under 0.3H winding inductor.

图5是分布电容以及螺旋电感对信号相位的影响分析图。图中(a)1kHz传输频率80nf分布电容时缠绕电感与相位衰减关系图,(b)1kHz传输频率0.25H缠绕电感时分布电容与相位衰减关系图,(c)1kHz传输频率200nf分布电容时缠绕电感与相位衰减关系图,(d)1kHz传输频率1H缠绕电感时分布电容与相位衰减关系图。Fig. 5 is an analysis diagram of the influence of distributed capacitance and spiral inductance on signal phase. In the figure (a) the relationship between winding inductance and phase attenuation when the 1kHz transmission frequency is 80nf distributed capacitance, (b) the relationship between distributed capacitance and phase attenuation when the 1kHz transmission frequency is 0.25H winding inductance, (c) the winding inductance when the 1kHz transmission frequency is 200nf distributed capacitance The relationship between inductance and phase attenuation, (d) The relationship between distributed capacitance and phase attenuation when 1kHz transmission frequency 1H winds the inductor.

图6是2000米传输线放线过程信号幅值增益和相位失真变化图。图中(a)1kHz传输频率2000米水下线轴幅值增益图,(b)5kHz传输频率2000米水下线轴幅值增益图,(c)1kHz传输频率2000米水下线轴相位延时图,(d)5kHz传输频率2000米水下线轴相位延时图。Fig. 6 is a graph showing the variation of signal amplitude gain and phase distortion during the payout process of a 2000-meter transmission line. In the figure (a) 1kHz transmission frequency 2000m underwater spool amplitude gain diagram, (b) 5kHz transmission frequency 2000m underwater spool amplitude gain diagram, (c) 1kHz transmission frequency 2000m underwater spool phase delay diagram, (d) 2000m underwater line axis phase delay diagram for 5kHz transmission frequency.

以下结合附图和通过实施例对本发明的具体实施方式作进一步说明。The specific implementation manners of the present invention will be further described below in conjunction with the drawings and examples.

具体实施方式Detailed ways

实施例一Embodiment one

XCTD剖面仪的传输信道为双股漆包线作为传输导线,线缆的两根导线在海洋中平行排列,该传输线表面覆有绝缘涂层,在上下两个线轴上螺旋紧密缠绕。其平行圆环导线结构如图2所示,内环为传输电缆,半径r为0.05mm。外环为绝缘漆包半径R为0.0545mm,周围为海水,信号采用差动传输的方式。The transmission channel of the XCTD profiler is a double-strand enameled wire as a transmission wire. The two wires of the cable are arranged in parallel in the ocean. The surface of the transmission line is covered with an insulating coating, and the upper and lower spools are tightly wound in a spiral. Its parallel ring wire structure is shown in Figure 2, the inner ring is a transmission cable, and the radius r is 0.05mm. The outer ring is insulated enamelled with a radius R of 0.0545mm, surrounded by seawater, and the signal is transmitted in a differential manner.

随着投弃式仪器的正常工作,传输信道阻抗在动态的变化,随着线圈的展开,这些分布电容迅速增大和等效电感逐渐减小。所以,建立传输线放线长度(D)和缠绕电感(L)、分布电容(C)、分布电阻(R)的变化规律是进行放线过程动态分析的关键。With the normal operation of the disposable instrument, the impedance of the transmission channel changes dynamically. With the expansion of the coil, these distributed capacitances increase rapidly and the equivalent inductance gradually decreases. Therefore, it is the key to the dynamic analysis of the unwinding process to establish the changing rules of the transmission line unwinding length (D) and winding inductance (L), distributed capacitance (C), and distributed resistance (R).

第1步、信道分布电容的计算:Step 1. Calculation of channel distributed capacitance:

图1为两平行导线的横截面图其中τ为导线上的电荷量根据以上公式,利用20次迭代算法计算的结果如公式(1)所示。Figure 1 is a cross-sectional view of two parallel wires, where τ is the amount of charge on the wires. According to the above formula, the result calculated by using the 20 iteration algorithm is shown in formula (1).

C=2.901065×π×εr×ε0=210pF/m   (1)C=2.901065×π×ε r ×ε 0 =210pF/m (1)

传输线的总分布电容主要由线圈缠绕形成的电容和平行导线间的电容并联构成,线圈缠绕形成的电容主要有线圈内同层同股邻近匝间电容,同层异股邻近匝间电容,异层邻近匝间电容三部分构成。为了便于分析,选用二层四匝双股电感线圈横截面图作为分布电容基本结构单元的模型,设绕组为对称绕制,为了计算方便,忽略边缘效应,因此求取该基本结构单元分布电容就可以推导出电感线圈的等效总电容,同计算单股螺旋电感线圈分布电容时一样,基本结构单元的单元等效电容可以采用平行板电容器计算公式进行计算。The total distributed capacitance of the transmission line is mainly composed of the capacitance formed by coil winding and the capacitance between parallel wires in parallel. The adjacent turn-to-turn capacitance consists of three parts. In order to facilitate the analysis, the cross-sectional diagram of the two-layer four-turn double-strand inductor coil is selected as the model of the basic structural unit of the distributed capacitance, and the winding is assumed to be symmetrical. The equivalent total capacitance of the inductance coil can be deduced, the same as the calculation of the distributed capacitance of the single-strand spiral inductance coil, the unit equivalent capacitance of the basic structural unit can be calculated using the parallel plate capacitor calculation formula.

第2步、信道分布缠绕电感和分布电阻的计算Step 2. Calculation of channel distributed winding inductance and distributed resistance

采用Brooks Coil Inductance电感计算公式进行估算,其理论计算公式如公式(2)所示。The inductance calculation formula of Brooks Coil Inductance is used for estimation, and its theoretical calculation formula is shown in formula (2).

L=1.699×10-6×R×nturn2  (2)L=1.699×10 -6 × Router ×nturn 2 (2)

其中L为缠绕电感的数值,R为圆柱型骨架的外径,nturn为缠绕圈数。由勾股定理可以推算出缠绕一圈所需传输线长度,因为单根传输线直径约0.1mm,相对线轴半径较小,所以不考虑由于多层叠加导致R值增大带来的影响,则缠绕匝数(nturn)和线圈上传输线长度(D)的计算公式如公式(3)所示。Among them, L is the value of the winding inductance, R is the outer diameter of the cylindrical skeleton, and nturn is the number of winding turns. According to the Pythagorean theorem, the length of the transmission line required to wind one circle can be calculated. Because the diameter of a single transmission line is about 0.1mm, the radius of the relative spool is relatively small, so the influence of the increase in the external value of R due to multi-layer superposition is not considered, then the winding The calculation formulas for the number of turns (nturn) and the length of the transmission line (D) on the coil are shown in formula (3).

nturnnturn == DD. ΔΔ dd 22 ++ (( 22 ×× ππ ×× RR )) 22 -- -- -- (( 33 ))

经整理化简后得到放线长度(D)与传输线系统中缠绕电感的关系如公式(4)所示。After arrangement and simplification, the relationship between the pay-off length (D put ) and the winding inductance in the transmission line system is shown in formula (4).

其中Ad为缠绕线圈间距,R为圆柱型骨架的外径,忽略放线后传输线自身的电感,线圈上传输线长度(D)为传输线总长(D)与放线长度(D)只差,其中L为缠绕电感的数值,Ad为缠绕线圈间距,这里值较小,可以忽略。Where Ad is the distance between the winding coils, and R is the outer diameter of the cylindrical skeleton, ignoring the inductance of the transmission line itself after unwinding, the length of the transmission line on the coil (D) is the difference between the total length of the transmission line ( Dtotal ) and the length of the unwinding line ( Dput ). , where L is the value of the winding inductance, and Ad is the spacing of the winding coils. The value here is small and can be ignored.

第3步、信道传输模型的建立Step 3. Establishment of channel transmission model

本文根据放线过程中的各参数的变化规律,建立了简化的信道电路模型如图3所示。其中Li、Cmi、Ri分别是水上线轴的电路参数,其中L1到LN为放出的平行线电感量,R1到RN为放出的平行导线的分布电阻,Cml到CmN为放出的平行线的分布电容,Cdi到CdN为平行传输线对地电容,Cmo、Lo、Ro为水下线轴的电参数。由于传输线为双股漆包线,缠绕方式、所处环境等影响因素完全相同,所以电路模型上下对称,参数数值相等。In this paper, a simplified channel circuit model is established, as shown in Figure 3, according to the changing law of each parameter in the payout process. Among them, Li, Cmi, and Ri are the circuit parameters of the above-water spool respectively, among which L1 to LN are the inductance of the released parallel lines, R1 to RN are the distributed resistances of the released parallel wires, Cml to CmN are the distributed capacitances of the released parallel lines, Cdi to CdN are the capacitances of the parallel transmission lines to ground, and Cmo, Lo, and Ro are the electrical parameters of the underwater spool. Since the transmission line is a double-strand enameled wire, the winding method, the environment and other influencing factors are exactly the same, so the circuit model is symmetrical up and down, and the parameter values are equal.

根据图3的信道简化电路模型图。将负载端选用1MΩ的采样电阻Rm,输入信号的方程公式如公式(5)所示:According to the simplified circuit model diagram of the channel in Fig. 3. Select the sampling resistor Rm of 1MΩ at the load end, and the equation formula of the input signal is shown in formula (5):

y=cos(2πf0t)u(t)=cos(ω0t)u(t)    (5)y=cos(2πf 0 t)u(t)=cos(ω 0 t)u(t) (5)

其拉普拉斯变换后如公式(6)所示:Its Laplace transform is shown in formula (6):

ζζ (( coscos (( ωω 00 tt )) )) == SS SS 22 ++ ωω 00 22 -- -- -- (( 66 ))

第4步、500m深信道静态阻抗对传输相位的影响Step 4. Effect of 500m deep channel static impedance on transmission phase

由于目前在大深度测量过程中,为了提高数据传输的稳定性和质量,减少数据传输的误码率,因此在通信过程中数据的传输采用调相编码与解调方式,分析信道阻抗动态变化对数据传输相位的影响具有重要的意义。而大量实验研究结果表明500m深度的测量点是其关键测量深度之一,本发明利用Agilent4294A阻抗分析仪对500m标准水下线轴的信道参数进行测量,其中螺旋电感约为300mH,分布电容总值约为80nF,分布电阻1.08KΩ.选取0Hz~15kHz频率段(而实际通信测试中采用的波特率通常为800Hz~9600IHz)进行仿真分析,分别固定分布电容值为80nF和螺旋电感值为0.3H,用Matlab进行幅频特性和相频特性随传输频率的变化趋势,来分析不同传输频率下信道对传输信号相位延时的影响和不同的信道参数对传输信号相位延时的影响。In order to improve the stability and quality of data transmission and reduce the bit error rate of data transmission in the process of large-depth measurement, phase-modulation encoding and demodulation are used for data transmission in the communication process, and the impact of dynamic changes in channel impedance is analyzed. The influence of the data transmission phase is of great significance. A large number of experimental research results show that the measurement point of 500m depth is one of its key measurement depths. The present invention uses the Agilent4294A impedance analyzer to measure the channel parameters of the 500m standard underwater bobbin, wherein the spiral inductance is about 300mH, and the total value of distributed capacitance is about is 80nF, and the distribution resistance is 1.08KΩ. Select the frequency range from 0Hz to 15kHz (the baud rate used in the actual communication test is usually 800Hz to 9600IHz) for simulation analysis, and fix the distributed capacitance value to 80nF and the spiral inductance value to 0.3H respectively. Use Matlab to analyze the variation trend of the amplitude-frequency characteristics and phase-frequency characteristics with the transmission frequency to analyze the influence of the channel on the phase delay of the transmission signal under different transmission frequencies and the influence of different channel parameters on the phase delay of the transmission signal.

第5步、2000m信道动态阻抗对传输相位的影响Step 5. Effect of 2000m channel dynamic impedance on transmission phase

由于目前大深度测量的范围在2000m内,因此分析2000m深度范围内动态阻抗信道对信号相位失真分析具有重要的意义,根据已有的缠绕电感(L),分布电容(C),以及2000m分布电阻的值4.5kΩ。放线长度的变换规律,基于简化的信道传输模型传输函数,分析总线长为2000m的传输线路。Since the current large-depth measurement range is within 2000m, it is of great significance to analyze the dynamic impedance channel within the 2000m depth range for signal phase distortion analysis. According to the existing winding inductance (L), distributed capacitance (C), and 2000m distributed resistance value of 4.5kΩ. The transformation law of pay-off length is based on the simplified channel transmission model transfer function, and the transmission line with a bus length of 2000m is analyzed.

仿真与分析结果Simulation and Analysis Results

(1)经化简和计算同层同股邻近匝间电容C12结果约为8.8pF,同层异股邻近匝间电容C23为0.2pF,异层同股邻近匝间电容C15为0.4pF。由此可以看出,210pF/m的平行导线间的电容占主导地位.因此,本发明传输线分布电容动态变化规律主要以平行导线间的电容为主,忽略线圈缠绕形成的电容变化。(1) After simplification and calculation, the inter-turn capacitance C 12 of the same layer adjacent to the same strand is about 8.8pF, the inter-turn capacitance C 23 of the same layer adjacent to different strands is 0.2pF, and the inter-turn capacitance C 15 of the same layer adjacent to the same strand is 0.4 pF. It can be seen from this that the capacitance between parallel wires of 210pF/m is dominant. Therefore, the dynamic change law of the distributed capacitance of the transmission line of the present invention is mainly based on the capacitance between parallel wires, and the capacitance change formed by coil winding is ignored.

(2)可以由放线长度(D)与传输线系统中缠绕电感的关系得到电感随线轴线长的变化规律如图2所示。利用Agilent4294A阻抗分析仪在40Hz~10kHz的频率的范围内测量海水介质下等效电感值中与估算结果进行比较,其中500米线轴测量值约为261mH,计算值为101mH,误差比为258%,1100米线轴测量值约为435mH,计算值为350mH,误差比为124%,分析比较,可以看出由于Brooks公式计算的线圈为规则的正方形且边长与半径相等,本发明中线圈在动态变化时并不是时刻为标准的Brooks相似型,所以导致计算结果和实际测量存在一定的差异。随着线圈模型逐渐逼近相似型,计算与实际的误差比例也逐渐减小,且比值波动也趋于平稳。计算结果和实际测量存在一定的差异,根据测试和比较,当线轴缠绕电感值小于500mH时,缠绕电感对信号影响不大,当大于500mH以后,其影响逐渐明显。应用Brooks公式进行估算,当绕线长度较小时,虽然存在一定误差,但此时电感对信号影响较小,误差带来的影响基本可以忽略,当缠绕长度达到1500米以上,线轴模型基本为Brooks相似型,误差较小。所以,可以利用Brooks公式在难以测量的情况下,对线轴缠绕电感进行快速估算。(2) From the relationship between the pay-off length (D put ) and the winding inductance in the transmission line system, the change rule of the inductance with the length of the line axis can be obtained, as shown in Figure 2. Use the Agilent4294A impedance analyzer to measure the equivalent inductance value under the seawater medium in the frequency range of 40Hz to 10kHz and compare it with the estimated result. The measured value of the 500-meter spool is about 261mH, the calculated value is 101mH, and the error ratio is 258%. The measured value of 1100 meter bobbins is about 435mH, the calculated value is 350mH, and the error ratio is 124%. Analysis and comparison, it can be seen that the coil calculated by the Brooks formula is a regular square and the side length is equal to the radius. In the present invention, the coil is dynamically changing Time is not the standard Brooks similarity, so there is a certain difference between the calculation result and the actual measurement. As the coil model gradually approaches the similarity type, the error ratio between the calculation and the actual is gradually reduced, and the fluctuation of the ratio also tends to be stable. There is a certain difference between the calculation result and the actual measurement. According to the test and comparison, when the winding inductance of the bobbin is less than 500mH, the winding inductance has little effect on the signal, and when it is greater than 500mH, its influence is gradually obvious. The Brooks formula is used for estimation. When the winding length is small, although there is a certain error, the influence of the inductance on the signal is small at this time, and the influence of the error can basically be ignored. When the winding length reaches more than 1500 meters, the bobbin model is basically Brooks Similar type, less error. Therefore, the Brooks formula can be used to quickly estimate the bobbin winding inductance when it is difficult to measure.

因为信号传输频率在800Hz左右,频率较低,本文采用导线直流电阻值的计算公式如式(7)对信道分布电阻值进行估算。Because the signal transmission frequency is about 800Hz, which is relatively low, this paper uses the calculation formula of the DC resistance value of the wire such as formula (7) to estimate the channel distribution resistance value.

RR == ρρ ×× CjC j ×× LL AA -- -- -- (( 77 ))

公式(7)中,R表示平行导线电阻,ρ表示工作温度下电阻率,Cj为绞入系数,多股导线为1.02,L为导线长度,A为导线横截面面积。假设材料性质不随环境的变化而改变,根据式(8)可以看出电阻的变化与线长成正比,经计算分布电阻的计算值约为2.26Ω/m。In the formula (7), R represents the resistance of the parallel wires, ρ represents the resistivity at the working temperature, Cj is the stranding coefficient, 1.02 for multi-strand wires, L is the length of the wires, and A is the cross-sectional area of the wires. Assuming that the properties of the material do not change with the change of the environment, according to formula (8), it can be seen that the change of resistance is proportional to the length of the line, and the calculated value of the distributed resistance is about 2.26Ω/m.

(3)在图3中,线轴的电抗特性主要为感性,只考虑Li、Ri和Lo、Ri对信号的影响,放出的平行线主要的电抗特性主要为容性只考虑Cm1到CmN以及R1到RN对信号的影响,由于平行传输线对地电容Cd数值很小,主要是pF级,基本可以忽略。设L为Li和Lo的串联的和,R为Ri和Ro以及R1到RN串联的和,C为Cmi、Cmo、Cm1到CmN并联的和,则函数的传递方程如公式(8)所示:(3) In Figure 3, the reactance characteristics of the bobbins are mainly inductive, and only the influence of Li, Ri, Lo, and Ri on the signal is considered. The main reactance characteristics of the released parallel lines are mainly capacitive, and only Cm1 to CmN and R1 to R1 are considered. The influence of RN on the signal can basically be ignored due to the small value of the capacitance Cd of the parallel transmission line to the ground, mainly in the pF level. Let L be the series sum of Li and Lo, R be the series sum of Ri and Ro and R1 to RN, and C be the parallel sum of Cmi, Cmo, Cm1 to CmN, then the transfer equation of the function is shown in formula (8):

Hh (( sthe s )) == RmR m (( CLRCLR )) SS 22 ++ (( LL ++ CRRmCRRm )) SS ++ (( RR ++ RmR m )) -- -- -- (( 88 ))

(4)分析不同传输频率下信道对传输信号相位延时的影响和不同的信道参数对传输信号相位延时的影响的分析结果如图4所示,固定0.3H的缠绕电感时,当分布电容较小时,基本可以忽略相位延时,所以,分布电容的存在是主要引起相位失真的因素,当频率较大时,相位衰减趋近一个恒定值。但在5kHz以下传输频率,随着分布电容加大,相位变化速率逐渐加快.固定80nF的平行电容时,缠绕电感值较小时,依然会出现相位延时,与平行电容对相位延时的影响效果类似,当频率较大时,相位衰减趋近一个恒定值,但在5kHz以下传输频率,随着缠绕电感的加大,相位变化速率逐渐加快。(4) Analysis of the influence of the channel on the phase delay of the transmission signal under different transmission frequencies and the analysis results of the influence of different channel parameters on the phase delay of the transmission signal are shown in Figure 4. When the winding inductance of 0.3H is fixed, when the distributed capacitance When the frequency is small, the phase delay can be basically ignored. Therefore, the existence of distributed capacitance is the main factor causing phase distortion. When the frequency is large, the phase attenuation approaches a constant value. However, when the transmission frequency is below 5kHz, as the distributed capacitance increases, the phase change rate gradually accelerates. When the parallel capacitance of 80nF is fixed, the phase delay will still occur when the winding inductance value is small, and the effect of the parallel capacitance on the phase delay Similarly, when the frequency is high, the phase attenuation tends to a constant value, but when the transmission frequency is below 5kHz, as the winding inductance increases, the phase change rate gradually accelerates.

由于目前投弃式仪器的主要传输频率在800Hz~1200Hz,固定1kHz传输频率,根据公式(8)所得的简化电路传递方程,在固定频率下,分别固定分布电容与螺旋电感参数,进一步探究分布电容和缠绕电感参数对信号相位的影响,结果如图5所示。可以看出,在1kHz的传输频率下,固定缠绕电感,在分布电容增大的过程中,相位急剧衰减,随着电容的增大,相位衰减逐渐平缓,最大相位衰减为180度,前期衰减过程剧烈程度跟固定的分布电容值成正比,与分布电容对相位的影响相似,固定分布电容的值,随着缠绕电感增大,信号相位延时变化逐渐平缓。固定的分布电容值越大,前期衰减过程剧越。Since the current main transmission frequency of disposable instruments is between 800Hz and 1200Hz, and the transmission frequency of 1kHz is fixed, according to the simplified circuit transfer equation obtained by formula (8), at the fixed frequency, the parameters of distributed capacitance and spiral inductance are respectively fixed to further explore the distributed capacitance. and winding inductance parameters on the signal phase, the results are shown in Figure 5. It can be seen that at a transmission frequency of 1 kHz, the winding inductance is fixed, and the phase attenuates sharply during the increase of the distributed capacitance. As the capacitance increases, the phase attenuation gradually becomes gentle, and the maximum phase attenuation is 180 degrees. The severity is proportional to the fixed distributed capacitance value, which is similar to the influence of distributed capacitance on the phase. With the value of fixed distributed capacitance, as the winding inductance increases, the signal phase delay changes gradually. The larger the fixed distributed capacitance value, the more severe the early decay process.

(5)从1m~2000m的幅值增益和相位失真变化过程。部分数据由表1所示,变化结果如图6所示,可以看出放线初期,由于线轴没有展开,传输电路中具有16H左右的缠绕电感,根据之前的分析,缠绕电感较大,幅值衰减迅速,相位失真-169.24度,随着放线的过程,线圈打开,缠绕电感减小,分布电容加大,在放线1000m的过程中,缠绕电感从16.41H减小到12.30H,分布电容从3.98e-9F增至4.06E-6F,1kHz传输频率下幅值增益由0.88严重衰减至6.2E-4;5kHz传输频率下幅值增益由0.02衰减至2.08E-5.根据3.2节的分析,分布电容和缠绕电感对相位的影响作用基本相同,同时,缠绕电感减小量不大,所以1kHz传输频率下相位延时保持在173度,5kHz传输频率下相位延时保持在177到179度之间.随着继续放线作用在放线,由于线圈层数减小,电感作用减小,缠绕电感快速下降,而分布电容数增值稳定上涨,因此相位延时逐渐减小,在放线1800m左右后,此效应更加明显。对比1kHz传输频率和5kHz传输频率增益和相位随放线长度变换的规律可以看出,低频传输信号增益较大但是放线后期由于缠绕电感和分布电容数值增加速率不同步多导致的相位失真不恒定的情况较明显,反之,高频传输状态下,相位失真波动较小,但是信号幅值增益较小。(5) The change process of amplitude gain and phase distortion from 1m to 2000m. Part of the data is shown in Table 1, and the change results are shown in Figure 6. It can be seen that in the initial stage of unwinding, because the bobbin is not unfolded, there is a winding inductance of about 16H in the transmission circuit. According to the previous analysis, the winding inductance is large and the amplitude The attenuation is rapid, and the phase distortion is -169.24 degrees. With the process of unwinding, the coil is opened, the winding inductance decreases, and the distributed capacitance increases. During the 1000m unwinding process, the winding inductance decreases from 16.41H to 12.30H, and the distributed capacitance From 3.98e-9F to 4.06E-6F, the amplitude gain at 1kHz transmission frequency is severely attenuated from 0.88 to 6.2E-4; at 5kHz transmission frequency, the amplitude gain is attenuated from 0.02 to 2.08E-5. According to the analysis in Section 3.2 , the effect of distributed capacitance and winding inductance on the phase is basically the same. At the same time, the reduction of winding inductance is not large, so the phase delay is maintained at 173 degrees at 1kHz transmission frequency, and the phase delay at 5kHz transmission frequency is maintained at 177 to 179 degrees. Between. With the continuous pay-off effect on the pay-off, due to the decrease in the number of coil layers, the inductance decreases, the winding inductance decreases rapidly, and the value of the distributed capacitance increases steadily, so the phase delay gradually decreases. After left and right, this effect is more pronounced. Comparing the 1kHz transmission frequency and 5kHz transmission frequency gain and phase change with the length of the wire, it can be seen that the low-frequency transmission signal has a larger gain, but the phase distortion is not constant due to the asynchronous increase rate of the winding inductance and distributed capacitance value in the later stage of wire release. The situation is more obvious, on the contrary, in the high-frequency transmission state, the phase distortion fluctuation is small, but the signal amplitude gain is small.

表1幅值增益和相位失真变化数据表Table 1 Amplitude Gain and Phase Distortion Variation Data Sheet

Claims (6)

1. the deep-sea analytical approach of XCTD time varying channel on transmission performance impact of walking to navigate, is characterized in that concrete steps are:
The calculating of the 1st step, channel distribution electric capacity
Solve the electric capacity between parallel wire by the method for configuration mirroring electric charge repeatedly, replace the distributed charge of conductive surface with the concentrated electric charge system after mirror image repeatedly, and it is constant to maintain all boundary conditions, thereby the solution procedure of electric capacity is simplified, and its main basis is uniqueness theorem and the circular section wire mirror image formula in electromagnetic theory;
The 2nd step, channel distribution are wound around the calculating of inductance and distributed resistance
Coil winding is master screw inductance, and its inductance is wrapped on column type skeleton closely, and intermediate medium is air, according to analysis, adopts Brooks Coil Inductance model assessment to be wound around the inductance value of bobbin;
The foundation of the 3rd step, transmission model
According to the Changing Pattern of the each parameter in unwrapping wire process, set up the channel circuit illustraton of model of simplifying, because transmission line is bifilar enameled wire, the influence factors such as canoe and environment of living in are identical, so circuit model is symmetrical up and down, parameter values equates;
The 4th step, carry out 500m deeply convince static impedance to transmission phase place analysis
Channel parameter to 500m standard water lower lower is measured, and analyzes the impact on signal transmission phase delay of the impact of different transmission frequency lower channels on signal transmission phase delay and different channel parameter;
The 5th step, the analysis of 2000m dynamics of channels impedance to transmission phase place
Analyzing total line length is the transmission line of 2000m, the amplitude gain from 1m to 2000m and phase distortion change procedure.
2. analytical approach according to claim 1, is characterized in that, the calculating of described channel distribution electric capacity adopts the repeatedly method of configuration mirroring electric charge.
3. analytical approach according to claim 1, is characterized in that, the calculating that described channel distribution is wound around inductance and distributed resistance adopts Brooks Coil Inductance model assessment to be wound around the inductance value of bobbin.
4. analytical approach according to claim 1, is characterized in that, the foundation of described transmission model adopts circuit model symmetrical up and down, the mode that parameter values is equal.
5. analytical approach according to claim 1, it is characterized in that, described 500m channel static impedance is measured the channel parameter of bobbin the analysis and utilization Agilent4294A electric impedance analyzer of transmission phase place, carry out amplitude versus frequency characte and the phase-frequency characteristic variation tendency with transmission frequency with Matlab, analyze the impact on signal transmission phase delay of the impact of different transmission frequency lower channels on signal transmission phase delay and different channel parameter.
6. analytical approach according to claim 1, it is characterized in that, described 2000m dynamics of channels impedance adopts to the analysis of transmission phase place the method that transmission channel is simplified, on the basis of transition function of the transmission model based on simplifying, the transmission line that analyzing total line length is 2000m.
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CN105610759A (en) * 2016-01-21 2016-05-25 天津工业大学 New method for increasing transmission rate of XCTD channel based on OFDM (Orthogonal Frequency Division Multiplexing) technology
CN106326547A (en) * 2016-08-23 2017-01-11 天津大学 Scheme for solving wire-to-wire capacitance of coil wound through parallel double wires
CN106918604A (en) * 2017-04-27 2017-07-04 重庆交通大学 Cable defect detecting system and its detection method based on electromagnetic transmission lineation opinion

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102473276A (en) * 2009-08-31 2012-05-23 雅培糖尿病护理公司 Medical devices and methods
US20120182017A1 (en) * 2011-01-14 2012-07-19 Rune Johan Magnus Mattsson Subsurface electromagnetic survey technique using expendable conductivity, temperature, and depth measurement devices
CN103544339A (en) * 2013-09-18 2014-01-29 天津工业大学 Modeling calculating method of distribution capacitance between transmission lines of underwater XCTD section plotter

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102473276A (en) * 2009-08-31 2012-05-23 雅培糖尿病护理公司 Medical devices and methods
US20120182017A1 (en) * 2011-01-14 2012-07-19 Rune Johan Magnus Mattsson Subsurface electromagnetic survey technique using expendable conductivity, temperature, and depth measurement devices
CN103544339A (en) * 2013-09-18 2014-01-29 天津工业大学 Modeling calculating method of distribution capacitance between transmission lines of underwater XCTD section plotter

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
郑羽等: "深海走航抛弃式测量仪器时变信道对传输性能的影响", 《物理学报》 *

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105610759A (en) * 2016-01-21 2016-05-25 天津工业大学 New method for increasing transmission rate of XCTD channel based on OFDM (Orthogonal Frequency Division Multiplexing) technology
CN105610759B (en) * 2016-01-21 2019-05-21 天津工业大学 A New Method for Improving XCTD Channel Transmission Rate Based on OFDM Technology
CN106326547A (en) * 2016-08-23 2017-01-11 天津大学 Scheme for solving wire-to-wire capacitance of coil wound through parallel double wires
CN106326547B (en) * 2016-08-23 2019-09-17 天津大学 A kind of scheme solved by parallel wire coiling line capacitance
CN106918604A (en) * 2017-04-27 2017-07-04 重庆交通大学 Cable defect detecting system and its detection method based on electromagnetic transmission lineation opinion
CN106918604B (en) * 2017-04-27 2023-03-10 重庆交通大学 Cable defect detection system and detection method based on electromagnetic wave transmission line theory

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