Authors: I.E. Tumanov

Title of the article: Multiphysical modeling of a tuning capacitor in a resonant circuit in an electromagnetic exciter of low-frequency mechanical vibrations

Year: 2026, Issue: 3, Pages: 64-82

Branch of knowledge: 2.4.2. Electrotechnical complexes and systems (engineering)

Index UDK: 621.825.038

DOI: 10.26730/1816-4528-2026-3-64-82

Abstract: This paper explores multiphysical modeling of a key power supply circuit element – a tuning capacitor (trimmer) integrated into a series resonant circuit of an electromagnetic exciter of low-frequency mechanical oscillations (EMF LFO). The study focuses on the targeted optimization of the electrical mode of the EMF LFO to achieve an ideal (artificial) mechanical characteristic. This paper introduces for the first time the key concepts of artificial (ideal circle) and natural (oval/ellipse) mechanical characteristics, defined as the locus of points of the total traction force (F) as a function of the air gap (). It is substantiated that the transition to the optimal shape of the characteristic is achieved by fine-tuning the electrical capacitance of the circuit. A detailed mathematical and physical description of the tuning capacitor is provided within the framework of a multiphysical model. Modeling has demonstrated a direct relationship between the electrical parameters, mechanical characteristic, and the EMF state vector diagram. An optimality condition was established and confirmed: the F trajectory approaches a perfect circle as closely as possible when the angle between the velocity vector and the traction vector is close to 300. This mode is achieved at a specific rotation angle () of the tuning capacitor, corresponding to the optimal capacitance (Copt). A key practical result is the precise determination of the C() dependence. This proves the fundamental feasibility of automated control of the system's electrical mode: mechanical adjustment of the trimmer's rotation angle allows for precise adjustment of the electrical capacitance, ensuring voltage resonance. Thus, the simulation results confirm the feasibility of remote, automated control of the EME LFO operating mode. To ensure reliability, the simulation process includes all stages—from geometry creation to post-processing and visualization of dynamic processes. Successful verification of the methodology allowed for the creation of a standalone application with a user interface, significantly increasing design efficiency and the applicability of this methodology to other EME LFO modifications.

Key words: multiphysical modeling tuning capacitor (trimmer) electromagnetic exciter low-frequency oscillations resonant circuit voltage resonance mechanical characteristic vector diagram

Receiving date: 27.11.2025

Approval date: 15.05.2026

Publication date: 04.06.2026

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