土壤探针阻抗计算方法的理论分析与实验研究
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* 高等学校博士学科点专项科研基金研究项目(1999001001)


THEORETICAL AND EXPERIMENTAL APPROACH TO CALCULATION OF THE IMPEDANCE OF SOIL PROBE
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    摘要:

    在基于TDR、FD和SWR等不同方法的土壤水分测量仪器中,多针土壤探头作为采样传感器的一个重要组成部分,深入研究它的阻抗计算方法对于改进这些仪器的测量精确度具有很高的理论与应用价值。由于描述多针土壤探头电磁特性的麦克斯韦尔方程的边界条件很难确定,所以试图利用麦氏方程的解析解分析其阻抗特性从理论上说是“可望而不可及”的。本文依据高频传输线阻抗变换理论与数学分析中夹逼定理的思想,提出了一种土壤探针阻抗计算模型。进一步通过对该模型的计算机仿真与实验研究,发现土壤探针的阻抗特性可随着测试频率与针长等相关参数的改变在感性负载与容性负载间相互转化。此外,当这些相关参数改变时,土壤探针的阻抗计算模型还存在着周期性的间断点。

    Abstract:

    The multi-pin soil probe plays an important role in determination of soil water content with a variety of instruments,such as TDR(Time Domain Reflectrometry),FD(Frequency Decomposition) and SWR(Standing Wave Ratio).Therefore,it is critical to calculate the impedance of the soil probe in order to improve the measuring accuracy of these instruments.However,the electromagnetic characteristics of the multi-pin probe is too complex to describe due to the hard-to-define boundary conditions of Maxwell equation.Based on the theory of impedance transform of transmission line as well as a mathematical inequality from the parallel and coaxial transmission lines,a mathematical formula for the impedance of the soil probe was developed.By computing this formula,it was found that the impedance of the soil probe depends not only on the permitivity of soil-water-system,but also on length of the probe-pin and frequency of its measuring signal.Especialy,it is proved that the impedance characteristics of the soil probe may be turned into an inductance from a capacitance and vice versa as measurement conditions change.In addition,it was confirmed that the formula for impedance of the soil probe had a series of periodical disconnected dots.

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孙宇瑞.土壤探针阻抗计算方法的理论分析与实验研究[J].土壤学报,2002,39(1):120-126. DOI:10.11766/trxb200009150117 Sun Yu-rui. THEORETICAL AND EXPERIMENTAL APPROACH TO CALCULATION OF THE IMPEDANCE OF SOIL PROBE[J]. Acta Pedologica Sinica,2002,39(1):120-126.

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  • 收稿日期:2000-09-15
  • 最后修改日期:2001-05-30
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  • 在线发布日期: 2013-02-25
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