2021
DOI: 10.35833/mpce.2019.000106
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Data-driven Probabilistic Static Security Assessment for Power System Operation Using High-order Moments

Abstract: In this letter, a new formulation of Lebesgue integration is used to evaluate the probabilistic static security of power system operation with uncertain renewable energy generation. The risk of power flow solutions violating any pre-defined operation security limits is obtained by integrating a semialgebraic set composed of polynomials. With the high-order moments of historical data of renewable energy generation, the integration is reformulated as a generalized moment problem which is then relaxed to a semi-d… Show more

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Cited by 4 publications
(3 citation statements)
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“…Thus, the presented dispatch problem for every single decision moment of real-time dispatch can be formulated as: (9) where S' is a subset of the Pareto solution set of (10). (10) where S'' is a subset of the Pareto solution set of (11).…”
Section: Ideal Dispatch Decision For Each Decision Momentmentioning
confidence: 99%
See 2 more Smart Citations
“…Thus, the presented dispatch problem for every single decision moment of real-time dispatch can be formulated as: (9) where S' is a subset of the Pareto solution set of (10). (10) where S'' is a subset of the Pareto solution set of (11).…”
Section: Ideal Dispatch Decision For Each Decision Momentmentioning
confidence: 99%
“…Unlike model (7), model (9) gives priority to narrowing down security thresholds. Only if there is more than one operation point which can narrow down security thresholds as much as possible, the proposed model will then consider the economic indicator.…”
Section: Ideal Dispatch Decision For Each Decision Momentmentioning
confidence: 99%
See 1 more Smart Citation