Research on Sensitivity Analysis Model of Grounding Measurement Capacitance Rod Position Sensor
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摘要: 控制棒棒位传感器是控制棒水压驱动系统的六大核心部件之一，其为核反应堆提供了唯一真实的棒位指示。接地测量型电容式棒位传感器具有测量精度高和抗干扰能力强的特点，可实现对控制棒棒位的一步一测。为澄清该型棒位传感器的电容敏感机理，本文基于保角变换法，建立了传感器的灵敏度分析模型，利用数值模拟方法和传感器的静态标定实验结果进行了模型修正和模型评价。结果表明，该灵敏度分析模型能够准确分析接地测量型电容式棒位传感器的静态测量特性，理论解和实验结果的相对误差为3.4%，该模型可用于传感器的结构分析和优化设计。Abstract: Control rod position sensor is one of the six core components of the control rod hydraulic drive system, which provides the only true rod position indication for nuclear reactors. The grounding measurement capacitance rod position sensor has the advantages of high precision and strong anti-interference ability. Control rod positions can be measured step-by-step by this kind of sensors. In order to clarify the capacitive sensitive mechanism of this kind of capacitance rod position sensors, the sensitivity analysis model of the sensor is established by conformal mapping. Model modification and model validation are conducted by the numerical simulation and results of the static calibration experiments. The results show that the static measurement characteristics of the grounding measurement capacitance rod position sensor can be accurately analyzed by the sensitivity analysis model. The relative error between the results obtained by the sensitive analysis model and experiments is 3.4%. The sensitivity analysis model can be used for structural analysis and optimal design of the sensor.
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图 1 接地测量型电容式棒位传感器的结构示意图
Figure 1. Schematic Diagram of Grounding Measurement Capacitance Rod Position Sensor
图 2 接地测量型电容式棒位传感器的子模型
Figure 2. Sub-models of Grounding Measurement Capacitance Rod Position Sensor
图 3 保角变换前、后的传感器结构对应关系
Figure 3. Corresponding Relation of Sensor Structure before and after Conformal Mapping
图 4 原图形和椭圆函数拟合结果的对比
Figure 4. Comparison of the Original Figure and Ftting Results by Elliptic Function
图 7 简化后模型的理论解与数值解的比较
Figure 7. Comparison of Analytical Solution and Numerical Solution of the Simplified Model
图 8 添加修正函数后的理论解与数值解比较
Figure 8. Comparison of Analytical Solution and Numerical Solution with Correction Function
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