Journal of Radio Electronics. eISSN 1684-1719. 2026. ¹6

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DOI: https://doi.org/10.30898/1684-1719.2026.6.6

 

 

 

A MATHEMATICAL MODEL OF THE COLPITTS OSCILLATOR

FOR THE ANALYSIS OF ELECTROMAGNETIC SUSCEPTIBILITY

AND PHASE STABILITY OF SELF-OSCILLATING CIRCUITS

 

P.S. Glazunov ¹, A.I. Grinko ², L.S. Bolotnikov ², V.A. Vdovin ¹, V.A. Cherepenin ¹

 

¹ Kotelnikov IRE RAS, 125009, Moscow, Mokhovaya St., 11, b. 7.

² Bauman Moscow State Technical University, 105005, Moscow, 2nd Baumanskaya St., 5.

 

 

The paper was received June 17, 2026.

 

Abstract. A mathematical model of the Colpitts oscillator is proposed based on a system of differential equations describing the dynamics of a self-oscillating circuit with allowance for parasitic electromotive forces induced by an external electromagnetic field in various loops of the circuit. The relevance of the study is determined by the increasing complexity of the modern electromagnetic environment and the miniaturization of electronic components, which leads to a reduction in their interference immunity. It is shown that short-term pulsed interference can cause a phase shift in the oscillator’s oscillations. It is established that the magnitude of this phase shift depends on the amplitude of the interference, the time of its application, and the loop into which it is introduced. Numerical experiments are used to identify the most vulnerable parts of the circuit, which can be applied in the design of interference-resistant self-oscillating circuits and in the optimization of their topology.

Key words: electromagnetic compatibility, Colpitts oscillator, self-oscillating circuit, phase shift, electromagnetic susceptibility, pulsed interference, numerical simulation.

Financing: The work was carried out under a state assignment from the Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences.

Corresponding author: Vladimir Alexandrovich Vdovin, vdv@cplire.ru  

 

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For citation:

Glazunov P.S., Grinko A.I., Bolotnikov L.S., Vdovin V.A., Cherepenin V.A. A mathematical model of the Colpitts oscillator for the analysis of electromagnetic susceptibility and phase stability of self-oscillating circuits // Journal of Radioelectronics. – 2026. – ¹. 6. https://doi.org/10.30898/1684-1719.2026.6.6 (In Russian)