Selected ideas of the theory of non‐linear electrical circuits

Miroslaw Dabrowski ^[1]
1. [1] Poznań University of Technology
  
  Poznań University of Technology
  
  Poznań, Polonia
Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 18, Nº 2, 1999, págs. 204-214
Idioma: inglés
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Resumen
- In this paper an outline of the development of methods for the analysis of non-linear circuits is presented. Non-inert and inert elements have been discerned and an inertia measure has been proposed. For this purpose, an exponential function with time constant T equal to TR;TL; or TC is formulated for an element of type R; L; or C; respectively. In circuits with the imposed cause, which varies sinusoidally in time with period Te; the following situations are distinguished and considered: Te T;Te T; and Te T: In the first case, the effect changes in time according to the non-linear characteristic of the element. In the second case, the respective circuit is referred to as the ``quasi-linear'', because for the sinusoidal cause the effect is also sinusoidal. In the third case, the hysteresis occurs and the effect is a two-valued function. The hysteresis effect occurs also in resistive elements.