Comparative Study of Fitting Rational Functions in Transmission Line Models
Applied Electromagnetism; Transmission lines; Electromagnetic transients; Lightning; Lightning Overvoltages; Soil Effect; Longitudinal and Transverse Parameters; Voltage and Current Distributions; Rational Approach; Bode diagram; Vector Fitting.
The overhead transmission lines are subject to several transients events, such as atmospheric discharges. For this, the study of electromagnetic transients in transmission lines is fundamental to know the response of this element before the electrical power system in cases of unexpected requests. In the existing line models in electromagnetic transient softwares, a required step is the fitting of the functions that model the line in rational functions. Therefore, this paper aims to analyze the difference between two methods of rational approximation in the study of electromagnetic transients in a single-phase overhead transmission line. The two methods used are: i) Asymptotic Bode Fitting (ABF); ii) Vector Fitting (VF). The analyzed models are computed considering a frequency spectrum from 100 Hz to 10 MHz. According to the results, the use of the most complex model, VF, can lead to mean square errors up to 36 times smaller than those resulting from the use of the traditional ABF implemented in electromagnetic transient software such as ATP.