{"title":"用于解决非线性电力工程问题的新型 STFT 分析表达式","authors":"Martin Ćalasan","doi":"10.1007/s10825-024-02132-1","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":620,"journal":{"name":"Journal of Computational Electronics","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Novel analytical STFT expressions for nonlinear power engineering problem solving\",\"authors\":\"Martin Ćalasan\",\"doi\":\"10.1007/s10825-024-02132-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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.</p></div>\",\"PeriodicalId\":620,\"journal\":{\"name\":\"Journal of Computational Electronics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-02-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Electronics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10825-024-02132-1\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10825-024-02132-1","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Novel analytical STFT expressions for nonlinear power engineering problem solving
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.
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.
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