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Laplace transform inversion through the theta algorithm for power-system EMT analysis
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DOI：10.1016/j.epsr.2021.107342.png)
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Abstract
En 中文
Laplace transform analysis of electromagnetic power system transients generally is based on a technique in which the Laplace inversion integral is truncated with a suitable data window. This technique, being referred to as WNLT, is appropriate for most practical cases. Nevertheless, it results inadequate for certain R&D tasks. This paper presents a new technique for numerical Laplace inversion that does not require truncation with a data window; it instead uses Brezinski's theta algorithm to account for the infinite range of the Laplace inversion integral. As opposed to the WNLT, the new technique guarantees consistent and high accuracy levels at low computational costs. Finally, the new technique is applied to the transient analysis of a power-system network. Its results compare favorably well with those from the PSCAD/EMTDC program.
Keywords:
Electromagnetic transients
Frequency-domain
Laplace transform
Shanks transformation
Epsilon algorithm
Theta algorithm
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