Jj. Rico et E. Acha, THE USE OF SWITCHING-FUNCTIONS AND WALSH-SERIES TO CALCULATE WAVE-FORM DISTORTION IN THYRISTOR CONTROLLED COMPENSATED POWER CIRCUITS, IEEE transactions on power delivery, 13(4), 1998, pp. 1370-1377
A new model based on Walsh series for assessing the steady state opera
tion of three phase Thyristor Controlled Reactors (TCRs) is presented
in this paper. The model represents the TCR as an admittance matrix wh
ich interfaces easily with other power plant components in the network
. Clearly, the admittance matrix representation is not confined to Wal
sh domain but rather it is valid for any orthogonal approximation of f
unctions having the operational properties used in this paper. However
, the switching functions which characterise the operation of TCRs are
better represented by Walsh series and they have been used in this pa
per. This is a new development in power systems analysis. Other orthog
onal series expansions such as Fourier series and Hartley series have
been used elsewhere. Walsh transform possesses the important operation
al properties of the Product, Coefficient and Integration matrices. Th
e relevant aspects of the interaction between the TCR and the electric
network are analysed. A three phase TCR and a transmission network re
presented by a Thevenin equivalent are used for this purpose.