Existence of tripled fixed points and solution of functional integral equations through a measure of noncompactness
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Publication Details
Author list: Ur Rehman H., Kumam P., Dhompongsa S.
Publisher: Elsevier Ltd
Publication year: 2019
Volume number: 35
Issue number: 2
Start page: 193
End page: 208
Number of pages: 16
ISSN: 0378-7796
eISSN: 0378-7796
Languages: English-Great Britain (EN-GB)
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Abstract
The modern power system consists of a large mixture of renewable energy sources (RES), varying and flexible loads, and is also experiencing a situation where a significant number of conventional generators are being replaced by power electronics based sources. All of these factors may lead to a decrease in the small-signal stability (SSS) margin of the system which in turn can cause power system instability. Power system stabilizers (PSSs) are widely used to improve the low-frequency oscillatory stability of power systems. Currently, there are two popular methods to coordinate multiple PSSs to improve SSS: deterministic and probabilistic method. This paper first formulates the problem of coordinating multiple PSSs to improve SSS as a deterministic and a probabilistic optimization problem which is then solved using the new directional bat algorithm. A detailed comparison between the two design methods under different scenarios based on obtained results is carried out afterward. All of the analysis was carried out on a modified IEEE 68 bus system. The obtained results provide key insights as well as the advantages and limitations of the probabilistic and deterministic approach to optimize the PSS parameters. ฉ 2019
Keywords
Nature-inspired algorithms, Probability function
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