{"title":"用分形几何建立新的电力网络模型","authors":"A. Amrane, N. Retière, D. Riu","doi":"10.1109/ICHQP.2010.5625440","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to introduce a new approach for electrical power network modeling. It is based on fractal geometry. Over a wide range of frequency, power systems exhibit capacitive, inductive and resonant behaviors. In the resonant range, the authors show that it is possible to model the average behavior of the resonances by a power law. Its exponent is measured by a box counting method applied to a fractal analogous to the network. The resulting model is both accurate and of reduced order.","PeriodicalId":180078,"journal":{"name":"Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"New modeling of electrical power networks using fractal geometry\",\"authors\":\"A. Amrane, N. Retière, D. Riu\",\"doi\":\"10.1109/ICHQP.2010.5625440\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to introduce a new approach for electrical power network modeling. It is based on fractal geometry. Over a wide range of frequency, power systems exhibit capacitive, inductive and resonant behaviors. In the resonant range, the authors show that it is possible to model the average behavior of the resonances by a power law. Its exponent is measured by a box counting method applied to a fractal analogous to the network. The resulting model is both accurate and of reduced order.\",\"PeriodicalId\":180078,\"journal\":{\"name\":\"Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICHQP.2010.5625440\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICHQP.2010.5625440","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New modeling of electrical power networks using fractal geometry
The aim of this paper is to introduce a new approach for electrical power network modeling. It is based on fractal geometry. Over a wide range of frequency, power systems exhibit capacitive, inductive and resonant behaviors. In the resonant range, the authors show that it is possible to model the average behavior of the resonances by a power law. Its exponent is measured by a box counting method applied to a fractal analogous to the network. The resulting model is both accurate and of reduced order.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
