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Determination and optimization of the mathematic model using the non-linear least square and iteration methods

机译:使用非线性最小二乘和迭代方法确定和优化数学模型

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The mathematic model of ring-shaped electrostatic sensor is often represented by its spatial sensitivity, which is defined as the ratio between the induced charge on the electrode to the charge carried by a particle at a different location in the sensing zone. The first step of this study was carried out to investigate the response of the electrode to a charged particle moving axially and radially [1] through simulation, and the second step was to optimize the mathematic model using the non-linear least square and iteration methods. Based on the response to single charge particles, the spatial response of the electrode to a flow stream at different radial position was derived. The purpose of modelling was to establish an accurate analytical expression of the sensor response to single charged particles and flow streams for further study of spatial sensitivity compensation.
机译:环形静电传感器的数学模型通常由其空间灵敏度表示,空间灵敏度定义为电极上的感应电荷与感测区域中不同位置处的粒子携带的电荷之间的比率。这项研究的第一步是通过模拟研究电极对带电粒子轴向和径向运动的响应[1],第二步是使用非线性最小二乘和迭代方法优化数学模型。 。基于对单个电荷粒子的响应,得出电极在不同径向位置对气流的空间响应。建模的目的是建立传感器对单个带电粒子和流的响应的精确分析表达式,以进一步研究空间​​灵敏度补偿。

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