Automation of studies of pulsed current generators based on the topological-isomorphic model
DOI:
https://doi.org/10.15588/1607-6761-2025-1-3Keywords:
electro-magnetic circuits, topological-isomorphic model, inductive-capacitive converters, pulse current generator, static electromagnetic devices, secondary power supplies, magnetic flux-controlled transformersAbstract
Purpose. To evaluate the real usefulness of the topological-isomorphic model of powerful electromagnetic circuits on the example of the study of pulse current generators.
Methodology. Nodal potential method, Contour current method, Topologically isomorphic transformations.
Findings. The mathematical apparatus created and implemented as a program in MATLAB allows solving the problems of modeling and research of electromagnetic devices in parts (by types of stored energy).This makes it possible to simplify the research and optimization of such technical characteristics as efficiency, mass-dimensional indicators, etc. The magnetic circuit is depicted in the same detail as the electric circuit, and is described by a contour matrix. The mathematical description of electromagnetic devices determines the inductive parameters due to the geometric dimensions and characteristics of the magnetic conductors. The topology of the electrical circuit is represented by matrix blocks, which allows obtaining a mathematical description that simultaneously takes into account the distribution of currents and charges in the elements of the circuit. The system of equations is reduced to the Cauchy form and is composed taking into account the increments of magnetic fluxes and potentials on capacitors, which simplifies its solution by numerical methods on a computer. Thus, it is convenient to control the energy processes in the reactive energy-consuming elements of the circuit. The paper presents an example of research of a charger of a pulse current generator with an inductive-capacitive converter. In the research example, the expected qualitative characteristics were obtained.
Originality. The mathematical model of electromagnetic circuits does not provide for equivalent transformations associated with the geometric configuration of magnetic conductors. The topology of the electromagnetic circuit is presented in the form of separate matrices, which are connected by a matrix of coil connections.
Practical value. The implemented software in the MATLAB shell uses the parameters of magnetic conductors in the form of geometric dimensions of magnetic conductors and their technical characteristics. The results of modeling a powerful electromagnetic devices allows you to estimate the accumulated energy of the electric charge in capacitors and the magnetic field in magnetic circuits and to analyze the efficiency and pos-sible impact on the environment. The presented data preparation technology allows us to investigate processes in more complex magnetic structures, for example, in magnetic flux-controlled transformers.
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