On oscillators containing non-linear resistive quadrupoIes†
- 1 February 1968
- journal article
- research article
- Published by Taylor & Francis in International Journal of Electronics
- Vol. 24 (2) , 139-164
- https://doi.org/10.1080/00207216808938006
Abstract
The method of harmonic linearization is employed to analyse a class of oscillators containing a non-linear resistive two-port network. The first approximation, where non-linear two-port input and output voltages are assumed sinusoidal, and the improved first approximation, which takes into account the intermodulation effects, are obtained. The expressions for frequency and amplitude sensitivity are derived from both, the first and the improved first approximation. The method is applied to a class of oscillators whose non-linear quadrupole consists of a resistive element with voltage current characteristic, i=f(v), and of a controlled source of the typo, i c = Kci, where Kc is a constant. Such a non-linear qundrupole is a good model for a vacuum tube or transistor. Measurements carried out on practical LC oscillator circuits are in reasonable agreement with the theoretical predictions.Keywords
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