This paper develops a Kalman filter-based method to estimate the magnitude and phases of currents and voltages of a single-phase transmission line. Unlike common-place practices, in which phasors are estimated by using Fourier-based or least squares methods, the standard Kalman filter algorithm is used. We represent the transmission line by using a steady-state model in which the phasors of voltages and currents are considered to be in the complex \(d - q\) domain. We then show the estimation performance of the filter-based estimator by means of a numerical simulation of a medium-length transmission line and compare the proposed method to standard methods for phasor estimation. The results presented show that the filter is highly efficient and encourages future research on the estimation of the electric parameters of transmission lines by using the proposed method. We conclude the paper by reasoning that the proposed estimation method could be used in phasor measurement devices for improved monitoring and control capabilities of electrical systems.

本文开发了一种基于卡尔曼滤波器的方法来估计单相输电线路的电流和电压的幅度和相位。与使用基于傅立叶的方法或最小二乘法估计相量的常见做法不同，使用标准卡尔曼滤波器算法。我们使用稳态模型来表示传输线，其中电压和电流的相量被认为是复杂的\(d - q\)领域。然后，我们通过中等长度传输线的数值模拟来展示基于滤波器的估计器的估计性能，并将所提出的方法与相量估计的标准方法进行比较。所呈现的结果表明，该滤波器是高效的，并鼓励未来使用所提出的方法对传输线电气参数进行估计的研究。我们推断本文提出的估计方法可用于相量测量设备，以提高电气系统的监测和控制能力。