{"title":"Budeanu概念中描述电路中功率状态的函数的正交性","authors":"M. Hartman","doi":"10.1109/ISNCC.2010.5524506","DOIUrl":null,"url":null,"abstract":"The Budeanu's concept of circuit analyses with nonsinusoidal voltages and currents has been presented in details with Author's comments. It has been reminded that Bunet was the first who proposed summing up reactive powers of the harmonics of nonsinusoidal waveforms. This postulate was included in so called Boucherot theorem. It has been shown that proposed by Budeanu vectors presenting the reactive power QB and deformation power D not always are orthogonal. Based on mathematical calculation Author pointed out that drawing general conclusion about orthogonality of these powers is not justifiable.","PeriodicalId":371843,"journal":{"name":"2010 International School on Nonsinusoidal Currents and Compensation","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Orthogonality of functions describing power states in electrical circuits in Budeanu's concept\",\"authors\":\"M. Hartman\",\"doi\":\"10.1109/ISNCC.2010.5524506\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Budeanu's concept of circuit analyses with nonsinusoidal voltages and currents has been presented in details with Author's comments. It has been reminded that Bunet was the first who proposed summing up reactive powers of the harmonics of nonsinusoidal waveforms. This postulate was included in so called Boucherot theorem. It has been shown that proposed by Budeanu vectors presenting the reactive power QB and deformation power D not always are orthogonal. Based on mathematical calculation Author pointed out that drawing general conclusion about orthogonality of these powers is not justifiable.\",\"PeriodicalId\":371843,\"journal\":{\"name\":\"2010 International School on Nonsinusoidal Currents and Compensation\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International School on Nonsinusoidal Currents and Compensation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISNCC.2010.5524506\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International School on Nonsinusoidal Currents and Compensation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISNCC.2010.5524506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Orthogonality of functions describing power states in electrical circuits in Budeanu's concept
The Budeanu's concept of circuit analyses with nonsinusoidal voltages and currents has been presented in details with Author's comments. It has been reminded that Bunet was the first who proposed summing up reactive powers of the harmonics of nonsinusoidal waveforms. This postulate was included in so called Boucherot theorem. It has been shown that proposed by Budeanu vectors presenting the reactive power QB and deformation power D not always are orthogonal. Based on mathematical calculation Author pointed out that drawing general conclusion about orthogonality of these powers is not justifiable.