Dynamic Uncertainty Set Characterization for Bulk Power Grid Flexibility Assessment

The increasing variability of renewables and volatile chronological net-load in power grids engenders significant risks of an uncertain sufficiency of flexible capacity. Although considerable advances in power grid flexibility assessment have been made, modeling the effect of temporal correlations a...

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Bibliographic Details
Published in:IEEE systems journal 2020-03, Vol.14 (1), p.718-728
Main Authors: Pourahmadi, Farzaneh, Heidarabadi, Houman, Hosseini, Seyed Hamid, Dehghanian, Payman
Format: Article
Language:English
Subjects:
Adaptation models
Algorithms
Constraints
Correlation
Duality theorem
Feasibility robustness
Flexibility
flexibility metrics
Mathematical models
operational flexibility
optimal uncertainty set
Optimization
Power grids
Power system dynamics
robust optimization
Robustness (mathematics)
Uncertainty
Wind farms
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Summary:The increasing variability of renewables and volatile chronological net-load in power grids engenders significant risks of an uncertain sufficiency of flexible capacity. Although considerable advances in power grid flexibility assessment have been made, modeling the effect of temporal correlations associated with wind generations on the system flexibility provision capability has remained a challenge. This paper proposes a novel UC-time-scale security-constrained affinely robust formulation for wind-originated uncertainty sets in order to evaluate the system flexibility capacity over time. An efficient model based on duality theorem and affine policy is proposed to assess a secure region in response to uncertain wind generation scenarios. A framework using a combination of column and constraint generation and alternative direction algorithms is then developed to solve the proposed optimization model. The impacts of the sequential nature of wind generation, a type of dynamic uncertainty set, on the worst cases of generating units' time-coupled ramping constraints are effectively captured to investigate how they contribute to the optimal allowable uncertainty set. Furthermore, the relationship between dynamic uncertainty set boundaries and the imposed re-dispatch costs are numerically investigated. Numerical experiments on the modified IEEE 73-bus test system reveals the efficacy of the suggested model and the proposed solution technique.
ISSN:1932-8184
1937-9234
DOI:10.1109/JSYST.2019.2901358