Rodrigo-Mor Armando, Muñoz Fabio A, Castro-Heredia Luis Carlos
Electrical Sustainable Energy Department, Delft University of Technology, 2628 CD Delft, The Netherlands.
Sensors (Basel). 2020 Apr 29;20(9):2520. doi: 10.3390/s20092520.
This paper describes a simplified model and a generic model of high-frequency current transformer (HFCT) sensors. By analyzing the models, a universal charge estimation method based on the double time integral of the measured voltage is inferred. The method is demonstrated to be valid irrespective of HFCT sensor, assuming that its transfer function can be modelled as a combination of real zeros and poles. This paper describes the mathematical foundation of the method and its particularities when applied to measure nanosecond current pulses. In practice, the applicability of the method is subjected to the characteristics and frequency response of the sensor and the current pulse duration. Therefore, a proposal to use the double time integral or the simple time integral of the measured voltage is described depending upon the sensor response. The procedures used to obtain the respective calibration constants based on the frequency response of the HFCT sensors are explained. Two examples, one using a HFCT sensor with a broadband flat frequency response and another using a HFCT sensor with a non-flat frequency response, are presented.
本文描述了高频电流互感器(HFCT)传感器的简化模型和通用模型。通过对这些模型的分析,推导出了一种基于测量电压双时间积分的通用电荷估计方法。该方法被证明是有效的,与HFCT传感器无关,前提是其传递函数可以建模为实零点和极点的组合。本文描述了该方法的数学基础及其在测量纳秒电流脉冲时的特殊性。在实际应用中,该方法的适用性取决于传感器的特性和频率响应以及电流脉冲持续时间。因此,根据传感器响应,描述了使用测量电压的双时间积分或简单时间积分的建议。解释了基于HFCT传感器频率响应获得各自校准常数的程序。给出了两个例子,一个使用具有宽带平坦频率响应的HFCT传感器,另一个使用具有非平坦频率响应的HFCT传感器。