Current and voltage wave‐form optimization with non‐linear deformations for real voltage sources

Abstract

The article deals with the search for the signals of the real source current or the real source voltage with the help of the ||i ‐ i₀|| or ||u₀ ‐ u||→ min criteria. At the same time there, one must know the power flux between the source and the receiver. The problem is solved by means of a certain Hilbert space where a special square functional is minimized. Both the inner impedance operator of the source and the receiver operator are non‐linear. The article presents a simple computational algorithm for a two‐terminal circuit, in particular for the circuit consisting of a saturated choking coil and a diode element. This algorithm can be applied to a special class of two‐terminal circuits, i.e. the circuits recognized as linear in case of small signal increase. The optimal current is calculated until it is fixed. This way, one gets a periodic steady state. The algorithm in question is always locally convergent, but the global convergence is difficult to prove. However, many numerical experiments indicate the global convergence. Presents the results in the form of computer plots.

Citation

Siwczynski, M. and K§losinski, R. (1997), "Current and voltage wave‐form optimization with non‐linear deformations for real voltage sources", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 16 No. 2, pp. 71-83. https://doi.org/10.1108/03321649710172761