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Item type:Наукова стаття, ЕLECTROMAGNETIC FIELD EQUATIONS IN NONLINEAR ENVIRONMENT(2024) Lyshuk, Viktor; Tkachuk, Anatolii; Zablotskyi, Valentyn; Selepyna, YosypThe paper proposes electromagnetic field equations from the point of view of their adaptation to numerical methods. Maxwell'sequations with partial derivatives are used, written concerning field vectors, which most fully reproduce the picture of physical processes in electrical engineeringdevices. The values of these vectors provide comprehensive information about the field at any spatio-temporal point. The concept of creating mathematical models of electrical devices adequate to physical processes has been developed. Mathematical transformations are carried out according to the rulesof differential calculus. Dynamic processes in the elements of electrotechnical devices were analyzed using the apparatus of mathematical modeling.An algorithm for implementing differential equations with partial derivative numerical methods using computer simulation was implemented. The obtained results made it possible to understand the nature of electromagnetic phenomena in nonlinear media. The paper provides calculations of the field parameters in a flat ferromagnetic plate and the groove of the rotor of an electric machineItem type:Наукова стаття, MODELLING OF DYNAMIC MODES IN A DC MOTOR FOR ELECTRIC VEHICLE(Polytechnika Lubelska, 2026) Lyshuk, Viktor; Tkachuk, Anatolii; Moroz, Serhiy; Yevsiuk, Mykola; Khvyshchun, Mykola; Prystupa, Stanislav; Zablotskyi, ValentynThe paper investigates mathematical models of a DC electric motor with independent excitation for electric vehicles and PWM as a speed control method. Differential equations of electromechanical state are written in normal Cauchy form. This representation simplifies the computational process, since integration is carried out by the explicit numerical method of Runge-Kutta of the fourth order, which is simpler than implicit and more accurate than single-step explicit methods. The symbolic programming language Force 2.0, which is a variant of the Fortran language, is used for modelling. Compared to mathematical packages of simulation modelling, it is convenient in terms of low time costs for compiling the program itself, since the program includes model equations together with initial conditions, a numerical method, and an integration procedure. The developed models take into account electromagnetic couplings of the motor's electrical circuits and make it possible to simulate dynamic operating modes. Such models can be used to analyse the operation of motors both autonomously and as an element of an electromechanical system, including valve converters. The operation and transient modes of a DC motor are simulated, the simulation results are given, and their analysis is presented. The results confirmed the correctness of the chosen approach to modelling and numerical methods, as well as compliance with the classical theory of electric machines.