Rogowski coils for fast pulse current measurement need sparse winding. However, sparse winding might make the coil distribution uneven and result in measurement error as the measured conductor is placed eccentrically or obliquely or if there is nearby current external to the coil. In this article, the induced electromotive force and the resulting measurement error are determined for nonuniform turn density along the bobbin. The interturn capacitance is related to the time response and is an important parameter, but its accurate calculation is difficult. A data-fitting method based on finite-element simulation modeling is proposed, and the interturn capacitance is calculated. The displacement current flowing through the gap of a shielding container would also introduce measurement error for high frequency. The error caused by the displacement current is derived, and the influencing factors are discussed.

中文翻译：

---

空心罗氏线圈脉冲电流测量影响因素及误差分析

用于快速脉冲电流测量的 Rogowski 线圈需要稀疏绕组。但是，由于被测导体偏心或倾斜放置，或者如果线圈外部有附近的电流，稀疏绕组可能会使线圈分布不均匀并导致测量误差。在本文中，感应电动势和由此产生的测量误差是针对沿线轴的非均匀匝数密度确定的。匝间电容与时间响应有关，是一个重要参数，但其精确计算难度较大。提出了一种基于有限元仿真建模的数据拟合方法，并计算了匝间电容。流经屏蔽容器间隙的位移电流也会引入高频测量误差。