Harmonic analysis of power systems including thyristor-controlled series capacitor (TCSC) and its interaction with the transmission line

• We model the transmission line with frequency dependent parameters in the harmonic domain.
• Reformulate the relationship for voltages and currents between the receiving end and any point on the transmission line.
• Propose a representation of the TCSC given by a complex admittance matrix, which includes the cross-couplings between harmonic frequencies.
• Presents a harmonic propagation analysis, including the effects of all the harmonic content and the cross coupling between harmonics.
• Presents the harmonic interaction between the linear and nonlinear parts in the system.

The increase of nonlinear devices in power systems leads us to consider their adverse effects on the waveform distortion, and consequently, the effects and propagation of this harmonic distortion over the whole power system. This paper presents the analysis of the adverse impact caused by the harmonic distortion generated by the thyristor-controlled series capacitor (TCSC) and its interaction with the transmission line. The analysis is carried out on the frequency domain, where total harmonic distortion, apparent power, active power, reactive power, distortion power and power losses are presented under different TCSC operation condition. The analysis of a four-node radial power system exhibiting harmonic distortion because of the TCSC operation is presented.