Supplementary techniques for 2S-DIRK-based EMT simulations

Add time:08/28/2019    Source:sciencedirect.com

Electromagnetic transient (EMT) simulations are now often used for system studies including power electronics converters which control voltages and currents using switching devices. The trapezoidal method, used in Electro-Magnetic Transients Program (EMTP) for numerical integration, produces “fictitious” sustained numerical oscillation, when an inductor current or a capacitor voltage is suddenly changed especially by switching. To cope with this problem, the research group of the authors has proposed applying the two-stage diagonally implicit Runge–Kutta (2S-DIRK) method which is an inherently “oscillation-free” numerical integration method. In order to bring out full accuracy of the 2S-DIRK method, supplementary numerical techniques are required for the representation of voltage sources, current sources and switches. This paper illustrates these techniques with numerical examples.

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