中文摘要：

热膨胀使Rogowski线圈尺寸变化进而改变线圈互感是电子电流互感器出现测量误差的原因之一。为定量分析计算热膨胀对Rogowski线圈的影响，采用理论分析与推导的方法得出常见类型Rogowski线圈骨架热系数和绕组热系数的计算公式。计算表明，圆形、矩形和跑道型截面Rogowski线圈骨架的热系数等同其材料热膨胀系数；线圈绕组的热系数近似2倍于其材料热膨胀系数。这种基于线圈热系数概念建立的热膨胀误差计算模型可用于设计高精度Rogowski线圈。

英文摘要：

Rogowski coils are increasingly designed for measurement of alternating current or transient current in electronic transformers .in power industry, and they are important parts that influence the accuracy of current measurement. Thermal expansion can change dimensions and mutual inductance of a Rogowski coil when the ambient temperature varies, which results in current measurement error of an electronic current transducer. A quantitative analysis of thermal expansion effect on Rogowski coil is important for the design of a high perfomnance electronic current transducer. Based on a definition of a novel factor, ratio error of induced voltage per unit rises in temperature, formulas for calculating the coils factors are derived, which are used for describing the typical Rogowski coils with rectangular cross section, circular cross section and the cross section in racetrack shape respectively. The analysis of the results shows that each of the factors has been described as a function of the thermal expansion coefficient of the employed material. The numerical value of the factor describing coil＇s former is equal to the numerical value of the thermal expansion coefficient of the former material; the numerical value of factor describing coil＇s winding is approximately the double of the thermal expansion coefficient of the winding wire material. By employing the factors above, a mathematical model is introduced for calculating the ratio voltage error caused by thermal expansion effect on the Rogowski coil. The proposed method and resultant data are instructive in design of the Rogowski coil with high measurement precision.