K. Latawiec, R. Stanisławski, M. Łukaniszyn, W. Czuczwara, Marek Rydel
{"title":"Fractional-order modeling of electric circuits: modern empiricism vs. classical science","authors":"K. Latawiec, R. Stanisławski, M. Łukaniszyn, W. Czuczwara, Marek Rydel","doi":"10.1109/PAEE.2017.8008998","DOIUrl":null,"url":null,"abstract":"In this paper, controversial views on the use of an integer- and fractional-order derivatives in the theory and practice of electric circuits are discussed. Maxwell's equations are definitely useful in classical circuit analyses but empirical, fractional-order modeling is advocated in specific applications, including an exemplary supercapacitor charging circuit. Thus, both methodologies can be employed in various, application-specific modeling tasks.","PeriodicalId":397235,"journal":{"name":"2017 Progress in Applied Electrical Engineering (PAEE)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"35","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Progress in Applied Electrical Engineering (PAEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PAEE.2017.8008998","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 35
Abstract
In this paper, controversial views on the use of an integer- and fractional-order derivatives in the theory and practice of electric circuits are discussed. Maxwell's equations are definitely useful in classical circuit analyses but empirical, fractional-order modeling is advocated in specific applications, including an exemplary supercapacitor charging circuit. Thus, both methodologies can be employed in various, application-specific modeling tasks.