Estimation of the Frequency-Dependent Parameters of Transmission Lines by Using Synchronized Measurements

Abstract

Transmission line parameters are usually calculated based on technical and environmental approximations, e.g. line height, cable conductivity, etc. These characteristics vary depending on the environment and technical issues, meaning that the transmission line should be considered as a dynamic system with time-varying parameters. Estimation methods are a useful way to determine line parameters taken into account such characteristics. Most methods estimate these parameters at 50 ∼ 60 Hz, useful for steady state analysis. However, for transient state or harmonic distortion analyses, a frequency range should be estimated, which varies according to the phenomenon to be investigated. In this matter, considering the gap existent of studies to estimate frequency-dependent parameters, we propose an efficacious and simplified method based on the two-port line representation and the well-known least squares method to estimate these parameters of a transmission line with 400 km length, considering a minimum number of synchronized measurements from 1 Hz up to 250 Hz.

Optimizing transmission line parameter estimation with hybrid evolutionary techniques

“…In [43], a research work suggests a method for parameter estimation of transmission lines utilizing voltage‐current data and a WOA. The authors in [44] and [45] use synchronized measurements and Kalman filtering with particle swarm optimization, respectively, to estimate transmission lines’ frequency‐dependent characteristics and electrical parameters. Additionally, reference [46] focuses on parameter estimation of transmission lines using the whale optimization algorithm.…”

Estimation of the electrical parameters of overhead transmission lines using Kalman Filtering with particle swarm optimization

“…There are some parameter estimation methods available in the technical literature in which dynamical equations are used to model transmission lines. These methods deal with the problem by using SCADA system data, phasor measurement units (PMUs) or fault records of protective relays [11]. Depending on the data used, whether the time domain representation or the frequency domain representation is used, some restrictions must be considered, for example, application in steady or in transient state, influence of the noise, system dimension applicability [12].…”