Two-stage distributed robust unit commitment considering dual uncertainties of inertia and wind power

ZHANG Lei; SONG Kunze; YE Jing; LIN Yuqi; GAO Renfei

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Two-stage distributed robust unit commitment considering dual uncertainties of inertia and wind power

ZHANG Lei^1,2, SONG Kunze^1,2, YE Jing^1,2, LIN Yuqi³, GAO Renfei^1,2

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Abstract

[Objective] Addressing the issue of insufficient system frequency response capability caused by the diversification and uncertainty of grid inertia sources under high renewable energy penetration, this study proposes a unit commitment framework that integrates multi-source inertia dynamics and uncertainties from both inertia and wind power. [Methods] First, an inertia uncertainty model is established by combining inertia contributions from dispatchable synchronous generators, non-dispatchable small synchronous generators, virtual inertia provided by power electronic devices, and load-side inertia. Second, a data-driven two-stage distributionally robust optimization model is developed to characterize the dual uncertainties of inertia and wind power. The model employs 1-norm and ∞-norm constraints to define the confidence set for uncertainty probability distributions, while dynamic frequency constraints are explicitly incorporated into the second-stage model. Finally, absolute-value terms in the formulation are linearized, and the two-stage problem is solved using a column-and-constraint generation algorithm. [Results] Simulation results on the IEEE 118-bus system demonstrate that, compared to the unit commitment model considering only the inertia of large synchronous generators, the proposed two-stage distributionally robust unit commitment model incorporating dual uncertainties of system inertia and wind power exhibits a more sufficient frequency response capability and reduces the total generation cost by 3.3%. Furthermore, the proposed framework exhibits superior economic performance over conventional robust optimization methods and stronger robustness compared to stochastic optimization approaches. [Conclusions] The proposed approach optimally balances power system economic efficiency and operational robustness, thereby enabling dynamic adaptability in high renewable penetration environments.

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system inertia / uncertainty / dynamic frequency constraint / unit combination / distributionally robust optimization

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ZHANG Lei, SONG Kunze, YE Jing, LIN Yuqi, GAO Renfei. Two-stage distributed robust unit commitment considering dual uncertainties of inertia and wind power[J]. Electric Power Construction. 0

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