Optimization setup based on multi-tone harmonic balance for the direct and accurate control of the locking range of rationally synchronized oscillators

M. Fernandez, S. Ver Hoeye, C. Vazquez, G.R. Hotopan, R. Camblor and F. Las Heras

Journal of Electromagnetic Waves and Applications, 2014, vol. 28, issue 9, 1142-1153

Abstract: In this work, a new approach for the optimization of the locking range of rationally synchronized oscillators (RSO) is presented. The proposed method is based on a non-linear optimization setup, easily implementable on commercial harmonic balance software packages, which involves two copies of the circuit. An auxiliary generator (AG) is connected to each copy. The AGs are used to set the working points of the two circuit copies around the limits of the locking range, through the control of the phase of the autonomous signals. A conventional optimization process is then used to increase the synchronization bandwidth by changing the working frequency of one or both AGs. The synchronization loci of the RSO will be calculated to determine the achieved locking range and to analyze its dependence with the amplitudes of the synchronizing harmonics.

Date: 2014
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DOI: 10.1080/09205071.2014.909609

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