Basics of Electromagnetic Transients: Underlying mathematics

IF 2.5 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC IEEE Electrification Magazine Pub Date : 2023-12-01 DOI:10.1109/MELE.2023.3320485
Xin Ma, Xiao-Ping Zhang
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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.
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电磁瞬态基础:基础数学
电磁暂态仿真在电力系统运行、控制和规划中起着重要的作用。考虑到数字计算机不能给出瞬态现象的连续历史,合理地求解离散间隔的时间响应是至关重要的。在20世纪60年代,Dommel首先通过节点矩阵方法开始了EMT解决方案。为了减少非线性时变元件的求解时间,Dommel于1971年提出了一种补偿方法,并开发了这些元件的等效电路。为了提高计算速度,Dommel在1972年提出了一种用隐式梯形积分法则求解emt的新方法。1986年,Dommel出版了他的EMT程序(EMTP)理论书,其中详细介绍了所有EMT组件建模和整体解决方法。
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来源期刊
IEEE Electrification Magazine
IEEE Electrification Magazine ENGINEERING, ELECTRICAL & ELECTRONIC-
CiteScore
5.80
自引率
0.00%
发文量
57
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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