Mathematical Modeling of the Interaction Process Between an Autonomous Robotic Complex and Frost Deposits on Power Transmission Lines

Title	Mathematical Modeling of the Interaction Process Between an Autonomous Robotic Complex and Frost Deposits on Power Transmission Lines
Authors	G. V. Kordiyak¹, M. F. Sadykov¹ ¹Kazan State Power Engineering University
Annotation	The article considers approaches to the mathematical modeling of a local autonomous system designed to remove ice and frost deposits from high-voltage power transmission lines without de-energizing. The necessity of using numerical methods to calculate mechanical stresses in the "wire – ice – robotic complex" system is substantiated. A general concept of a software and computing complex for simulating the operating modes of the autonomous device is proposed.
Keywords	mathematical modeling, numerical methods, finite element method, autonomous systems, power transmission lines, software complex, control algorithms.
Citation	Kordiyak G. V., Sadykov M. F. ''Mathematical Modeling of the Interaction Process Between an Autonomous Robotic Complex and Frost Deposits on Power Transmission Lines'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 101-104. Available at: https://conf.svmo.ru/files/2026/papers/paper83.pdf. - Date of access: 25.09.2026.