TY - GEN

T1 - A comparison of alternative transforms for electric power engineering applications

AU - Olejniczak, K.

AU - Heydt, G.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - It is conjectured that mathematical transform methods may be deserving of increased awareness in systems analysis in general, and power quality calculations in particular, due to their favorable convolution property when studying linear, time-invariant systems. Because certain transforms have associated with them a fast algorithm for digital computation, frequency-domain analysis tools can substantially lessen the computational burden when solving for the response to a known system and input. Two elementary examples are included whereby the steady-state system response to nonsinusoidal load currents is calculated using the Hartley and Walsh transforms. A comparison between the fast Fourier transform (FFT) and conventional time-domain convolution by lagged products is presented. Also, the authors present a brief introduction to the Mellin transform and its application to Euler linear, time-varying differential equations.

AB - It is conjectured that mathematical transform methods may be deserving of increased awareness in systems analysis in general, and power quality calculations in particular, due to their favorable convolution property when studying linear, time-invariant systems. Because certain transforms have associated with them a fast algorithm for digital computation, frequency-domain analysis tools can substantially lessen the computational burden when solving for the response to a known system and input. Two elementary examples are included whereby the steady-state system response to nonsinusoidal load currents is calculated using the Hartley and Walsh transforms. A comparison between the fast Fourier transform (FFT) and conventional time-domain convolution by lagged products is presented. Also, the authors present a brief introduction to the Mellin transform and its application to Euler linear, time-varying differential equations.

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M3 - Conference contribution

AN - SCOPUS:0025749243

SN - 081862115X

T3 - Proceedings of the Annual North American Power Symposium

SP - 84

EP - 93

BT - Proceedings of the Annual North American Power Symposium

PB - Publ by IEEE

T2 - Proceedings of the 22nd Annual North American Power Symposium

Y2 - 15 October 1990 through 16 October 1990

ER -