Abstract
In recent years, the mathematical apparatus for studying the energy modes of electrical circuits, analyzing the processes of energy conversion in nonlinearities, identifying the parameters of electrical equipment using the theory of instantaneous power, which is based on methods for converting signals represented in the form of approximation dependences, in particular, Fourier series, has been developing. As a rule, processes are analyzed in the description of which nonlinear operations with Fourier series are used – their multiplication, division, exponentiation, etc. The complexity of these operations virtually eliminates analytical expressions to describe the final dependencies. When performing these mathematical operations, as a rule, the convolution operation is used, which has found wide application when working with signals in radio engineering. The execution of the above operations is available to the researcher using applied mathematical packages. In electrical problems of the above nature, it is possible to use solutions obtained without the full–fledged use of computing facilities. At the same time, another problem is solved – the study of the convolution mechanism and the receipt of intermediate results as a source material for determining the specific data of the analyzed processes. The work focuses on the issues of obtaining results using series with a finite number of members.
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Chenchevoi, V., Serhiienko, S., Shendryk, V., Nekrasov, A., Fed, M. (2022). Nonlinear Transformations with Fourier Series as Applied to Electrotechnical Problems. In: Karabegović, I., Kovačević, A., Mandžuka, S. (eds) New Technologies, Development and Application V. NT 2022. Lecture Notes in Networks and Systems, vol 472. Springer, Cham. https://doi.org/10.1007/978-3-031-05230-9_68
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DOI: https://doi.org/10.1007/978-3-031-05230-9_68
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