Approximated solution of Van der Pol equation describing transition from forced to free mode of oscillation. Issue 13 (1st June 2013)

• Record Type: Journal Article
• Authors: Jany, C.; Siligaris, A.; Zarudniev, M.; Ferrari, P.
• Is Part Of: Electronics letters. Volume 49:Issue 13(2013)
• Page Start: 786
• Page End: 787
• Publication Date: 2013-06-01
• Subjects: relaxation oscillators; Van der Pol oscillator -- approximated solution -- amplitude variation -- oscillation phase transient behaviour -- oscillator relaxation -- free oscillation state -- free running frequency -- compact expression -- forced oscillation state; relaxation oscillators; Van der Pol oscillator -- approximated solution -- amplitude variation -- oscillation phase transient behaviour -- oscillator relaxation -- free oscillation state -- free running frequency -- compact expression -- forced oscillation state; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2013.1059
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : A compact expression describing the transient behaviour of the Van der Pol oscillator is presented. An original simplification on the amplitude variation leads to a new expression of the oscillation phase transient behaviour. This new expression is particularly suitable for describing oscillator relaxation, i.e. when the oscillator switches from a forced to a free oscillation state. It is shown that by choosing the injection stop instant correctly, the free running frequency can be achieved instantaneously.