{"title":"分数阶 3×n 扇形网络的电气特性","authors":"Zhi-zhong Tan, xin wang","doi":"10.1088/1572-9494/ad2c81","DOIUrl":null,"url":null,"abstract":"\n In this article, a new achievement of fractional order 3×n Fan networks is presented. In the first step, the RT-I method is used to derive the general formulae of the equivalent impedance of fractional order 3×n Fan networks. In the second part, the effects of five system parameters (L, C, n, α and β) on amplitude-frequency characteristic and phase frequency characteristics are analyzed. At the same time, the amplitude-frequency characteristics and phase frequency characteristics of fractional order 3×n Fan network are revealed by Matlab drawing. This work has important theoretical and practical significance for resistor network models in the field of natural science and engineering technology.","PeriodicalId":508917,"journal":{"name":"Communications in Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Electrical characteristics of fractional order 3×n Fan network\",\"authors\":\"Zhi-zhong Tan, xin wang\",\"doi\":\"10.1088/1572-9494/ad2c81\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n In this article, a new achievement of fractional order 3×n Fan networks is presented. In the first step, the RT-I method is used to derive the general formulae of the equivalent impedance of fractional order 3×n Fan networks. In the second part, the effects of five system parameters (L, C, n, α and β) on amplitude-frequency characteristic and phase frequency characteristics are analyzed. At the same time, the amplitude-frequency characteristics and phase frequency characteristics of fractional order 3×n Fan network are revealed by Matlab drawing. This work has important theoretical and practical significance for resistor network models in the field of natural science and engineering technology.\",\"PeriodicalId\":508917,\"journal\":{\"name\":\"Communications in Theoretical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Theoretical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1572-9494/ad2c81\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1572-9494/ad2c81","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Electrical characteristics of fractional order 3×n Fan network
In this article, a new achievement of fractional order 3×n Fan networks is presented. In the first step, the RT-I method is used to derive the general formulae of the equivalent impedance of fractional order 3×n Fan networks. In the second part, the effects of five system parameters (L, C, n, α and β) on amplitude-frequency characteristic and phase frequency characteristics are analyzed. At the same time, the amplitude-frequency characteristics and phase frequency characteristics of fractional order 3×n Fan network are revealed by Matlab drawing. This work has important theoretical and practical significance for resistor network models in the field of natural science and engineering technology.
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