Harmonic domain modelling of three phase thyristor-controlled reactors by means of switching vectors and discrete convolutions

• Published in: IEEE transactions on power delivery Vol. 11; no. 3; pp. 1678 - 1684
• Main Authors: Rico, J.J., Acha, E., Miller, T.J.E.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.07.1996; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Bars; Disturbances. Regulation. Protection; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Flexible printed circuits; Frequency domain analysis; Inductors; Power harmonic filters; Power networks and lines; Power system harmonics; Reactive power control; Senior members; Thyristors; Voltage; Electronic control; Harmonic; Inductance; Power thyristor; Reactive current compensation; Static reactive compensator; Three phase circuit; Modeling; Switching
• ISSN: 0885-8977; 1937-4208
• DOI: 10.1109/61.517534

The main objective of this paper is to report on a newly developed three phase TCR model for SVC which is based on the use of harmonic switching vectors and discrete convolutions. This model is amenable to direct frequency domain operations and provided a fast and reliable means for assessing 6- and l2-pulse TCR plant performance at harmonic frequencies. The use of alternate time domain and frequency domain representations is avoided as well as the use of FFTs. In this approach, each single phase unit of the TCR is modelled as a voltage-dependent harmonic Norton equivalent where all the harmonics and cross-couplings between harmonics are explicitly shown. This model is suitable for direct incorporation into the harmonic domain frame of reference where all the busbars, phases, harmonics and cross-couplings between harmonics are combined together for a unified iterative solution through a Newton-Raphson technique exhibiting quadratic convergence.