Transmission Line Modeling in Three-Phase System and Frequency Domain Based on Kron Matrix Reduction

Analysis of harmonic propagation in transmission network represents an important factor in exploitation of the power system. These analyses are conducted in time and frequency domains. In a case of a robust power system, analyses are usually conducted in frequency domain and usually carried out in the Three-phase system (TPS), so that all effects of interest in the frequency spectrum are taken in consideration. Transmission line (TL) modeling in TPS and frequency domain, with the usage of Kron Matrix Reduction (KMR), can be found in this paper. The model is created for frequency values between 0.05 (Hz) and 10 (kHz), which represent the frequency spectrum of interest. Mathematical procedure for implementing the KMR can also be found in this paper. Usage of KMR for voltage profile analysis on a TL is shown on a plain example. The proposed model is compared with tested mathematical models from EMTP-RV.