{"title":"电磁瞬态基础：基础数学","authors":"Xin Ma, Xiao-Ping Zhang","doi":"10.1109/MELE.2023.3320485","DOIUrl":null,"url":null,"abstract":"Electromagnetic transient (EMT) simulation plays an important role is power system operation, control, and planning. Considering that the digital computer is unable to give a continuous history of transient phenomena, it is essential to solve the time response at discrete intervals reasonably. In the 1960s, Dommel first started an EMT solution by a nodal matrix method. To reduce solution time for nonlinear and time-varying components, Dommel proposed a compensation method and developed equivalent circuits for those components in 1971. To improve the calculation speed, Dommel introduced a new technique for solving EMTs with the implicit trapezoidal rule of integration in 1972. In 1986, Dommel published his EMT Program (EMTP) theory book, where all of the EMT component modeling and overall solution methods are detailed.","PeriodicalId":45277,"journal":{"name":"IEEE Electrification Magazine","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Basics of Electromagnetic Transients: Underlying mathematics\",\"authors\":\"Xin Ma, Xiao-Ping Zhang\",\"doi\":\"10.1109/MELE.2023.3320485\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Electromagnetic transient (EMT) simulation plays an important role is power system operation, control, and planning. Considering that the digital computer is unable to give a continuous history of transient phenomena, it is essential to solve the time response at discrete intervals reasonably. In the 1960s, Dommel first started an EMT solution by a nodal matrix method. To reduce solution time for nonlinear and time-varying components, Dommel proposed a compensation method and developed equivalent circuits for those components in 1971. To improve the calculation speed, Dommel introduced a new technique for solving EMTs with the implicit trapezoidal rule of integration in 1972. In 1986, Dommel published his EMT Program (EMTP) theory book, where all of the EMT component modeling and overall solution methods are detailed.\",\"PeriodicalId\":45277,\"journal\":{\"name\":\"IEEE Electrification Magazine\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2023-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Electrification Magazine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MELE.2023.3320485\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Electrification Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MELE.2023.3320485","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Basics of Electromagnetic Transients: Underlying mathematics
Electromagnetic transient (EMT) simulation plays an important role is power system operation, control, and planning. Considering that the digital computer is unable to give a continuous history of transient phenomena, it is essential to solve the time response at discrete intervals reasonably. In the 1960s, Dommel first started an EMT solution by a nodal matrix method. To reduce solution time for nonlinear and time-varying components, Dommel proposed a compensation method and developed equivalent circuits for those components in 1971. To improve the calculation speed, Dommel introduced a new technique for solving EMTs with the implicit trapezoidal rule of integration in 1972. In 1986, Dommel published his EMT Program (EMTP) theory book, where all of the EMT component modeling and overall solution methods are detailed.
期刊介绍：
IEEE Electrification Magazine is dedicated to disseminating information on all matters related to microgrids onboard electric vehicles, ships, trains, planes, and off-grid applications. Microgrids refer to an electric network in a car, a ship, a plane or an electric train, which has a limited number of sources and multiple loads. Off-grid applications include small scale electricity supply in areas away from high voltage power networks. Feature articles focus on advanced concepts, technologies, and practices associated with all aspects of electrification in the transportation and off-grid sectors from a technical perspective in synergy with nontechnical areas such as business, environmental, and social concerns.
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