E. Acha et al., HARMONIC MODELING IN HARTLEY DOMAIN WITH PARTICULAR REFERENCE TO 3-PHASE THYRISTOR-CONTROLLED REACTORS, IEEE transactions on power delivery, 12(4), 1997, pp. 1622-1628
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.