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Novel analytical STFT expressions for nonlinear power engineering problem solving

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Abstract

Special tran function theory (STFT) is a powerful nonlinear problem-solving tool. In this paper, four different nonlinear power engineering problems in the field of induction machines, power inductors, perovskite solar cells, and supercapacitors are represented via the same transcendental equation. Furthermore, the analytical solution of the derived transcendental equation is expressed by using the STFT. Comparisons of the accuracy of the presented solutions with corresponding solutions determined with numerical calculation for all observed power engineering problems are also presented. It is shown that the proposed analytical solution is applicable, simple to implement, highly accurate and low-time consuming. Furthermore, in the mathematical sense, the structures of the final expressions for all observed variables in all observed problems are simpler than literature-known analytical solutions. The Mathematica codes for different STFT solutions are given as an appendix of this paper.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Montenegro, Dzordza Vasingtona bb, Podgorica, Montenegro

    Martin Ćalasan

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  1. Martin Ćalasan
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MC wrote the main manuscript and prepared figures and tables.

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Correspondence to Martin Ćalasan.

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Appendix

Appendix

A. Mathematica code for induction machine speed calculation during direct start-up.

figure a

B. Mathematica code for power inductor air gap length calculation.

figure b

C. Mathematica code for PSC current calculation.

figure c

D. Mathematica code for supercapacitor voltage calculation during constant power charge.

figure d

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Ćalasan, M. Novel analytical STFT expressions for nonlinear power engineering problem solving. J Comput Electron (2024). https://doi.org/10.1007/s10825-024-02132-1

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