HARMONIC MODELING IN HARTLEY DOMAIN WITH PARTICULAR REFERENCE TO 3-PHASE THYRISTOR-CONTROLLED REACTORS

The main objectives of this paper are to present a new frame-of-refere nce based on the use of Hartley's transform and to present a three pha se Thyristor Controlled Reactor (TCR) harmonic model which uses Hartle y's domain. Solutions using the new frame-of-reference are between two to four times faster than solutions using an established frame-of-ref erence based on Fourier's transform because Hartley's transform makes use of the real plane as opposed to the complex plane. Harmonic switch ing vectors in Hartley's domain have been developed for maximum comput er efficiency. Their use, combined with discrete convolution operation s, provide cleaner and faster operations than those afforded by the Fa st Hartley Transform. The TCR model is completely general and caters f or any kind of plant imbalances, e.g. uneven firing angles and inducta nces. Network imbalances are accounted for via the excitation voltage. The new frame-of-reference accommodates any number of buses, phases, harmonics and cross-couplings between harmonics. It provides a reliabl e and efficient means for the iterative solution of power systems harm onic problems through a Newton-Raphson method which exhibits quadratic convergence.