Novel analytical STFT expressions for nonlinear power engineering problem solving

IF 2.2 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Journal of Computational Electronics Pub Date : 2024-02-09 DOI:10.1007/s10825-024-02132-1

Martin Ćalasan

引用次数: 0

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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用于解决非线性电力工程问题的新型 STFT 分析表达式

特殊傅立叶变换函数理论（STFT）是一种强大的非线性问题解决工具。本文通过同一超越方程来表示感应机、功率电感器、包晶太阳能电池和超级电容器领域中的四个不同的非线性电力工程问题。此外，推导出的超越方程的解析解使用 STFT 表示。此外，还比较了针对所有观测到的电力工程问题所提出的解决方案与通过数值计算确定的相应解决方案的准确性。结果表明，所提出的分析解决方案适用、简单、准确度高且耗时少。此外，从数学意义上讲，所有观测问题中所有观测变量的最终表达式结构都比文献中已知的分析解决方案简单。本文附录给出了不同 STFT 解决方案的 Mathematica 代码。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

4.50

自引率

4.80%

发文量

142

审稿时长

>12 weeks

期刊介绍： he Journal of Computational Electronics brings together research on all aspects of modeling and simulation of modern electronics. This includes optical, electronic, mechanical, and quantum mechanical aspects, as well as research on the underlying mathematical algorithms and computational details. The related areas of energy conversion/storage and of molecular and biological systems, in which the thrust is on the charge transport, electronic, mechanical, and optical properties, are also covered. In particular, we encourage manuscripts dealing with device simulation; with optical and optoelectronic systems and photonics; with energy storage (e.g. batteries, fuel cells) and harvesting (e.g. photovoltaic), with simulation of circuits, VLSI layout, logic and architecture (based on, for example, CMOS devices, quantum-cellular automata, QBITs, or single-electron transistors); with electromagnetic simulations (such as microwave electronics and components); or with molecular and biological systems. However, in all these cases, the submitted manuscripts should explicitly address the electronic properties of the relevant systems, materials, or devices and/or present novel contributions to the physical models, computational strategies, or numerical algorithms.