IEEE Transactions on Power Systems · 2022 · 53 citations · 49 references
ArchitectureElectrical EngineeringEnergy ManagementPower ElectronicsRenewable Energy SystemsDistributed Energy ResourcesEnergy Management SystemsFrequency ControlFrequency RegulationPower ControlPower System StabilityElectrical Power SystemsFrequency StabilityFrequency Stability AnalysisGeneratorsPower RegulationPower System Frequency DynamicsUnit CommitmentVariable Frequency Control
To improve the frequency stability of power systems with a high penetration of converter-based generators, this paper proposes an Enhanced Frequency-Constrained Unit Commitment (E-FCUC) considering variable-droop-controlled Frequency Control (FC) from converter-based generators. Unlike previous studies emphasizing conventional and fix-droop converter-based generators participating in primary frequency response, the impact of converter-based generators with variable-droop FC (VD-FC) is investigated, modeled, and then incorporated into the UC problems. Firstly, the transfer function of variable-droop-controlled converter-based generators is modeled; the available primary power reserves bounding provided by converter-based generators is analyzed. Secondly, the frequency dynamic of power systems considering joint frequency control from conventional generators and variable-droop-controlled converter-based generators is derived based on an analytical aggregated System Frequency Response (SFR) model. Since the nonlinear non-smooth feature of obtained frequency dynamic function, the “max-affine” Piece-Wise-Linearization method (PWL) is adopted here to fit the calculated frequency function. The fitting function is subsequently reformulated into mix-integer linearized constraints participating in UC studies. Case studies based on a modified IEEE 6 bus test system and a modified IEEE 118 bus test system are carried out to verify the effectiveness of the proposed E-FCUC through comparisons of results with existing empirical models.
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JuMP: A Modeling Language for Mathematical Optimization
SIAM Review · 2017 · 1.2K citations · Full text