Robust Trajectory-Constrained Frequency Control for Microgrids Considering Model Linearization Error: Article No. 120559

Yichen Zhang, Chen Chen, Tianqi Hong, Bai Cui, Zhe Xu, Bo Chen, Feng Qiu

Research output: Contribution to journalArticlepeer-review

3 Scopus Citations

Abstract

Grid supportive modes integrated within inverter-based resources can improve the frequency response of renewable-rich microgrids. The synthesis of grid supportive modes to guarantee frequency trajectory constraints under a predefined disturbance set is challenging but essential. To tackle this challenge, a numerical optimal control (NOC)-based control synthesis methodology is proposed. Without loss of generality, a wind-diesel fed microgrid is studied, where we aim to design grid supportive functions in the wind turbine. In the control design, linearized models are used, and the linearization-induced errors are quantitatively analyzed by reachability and interval arithmetics and represented in the form of interval uncertainties. Then, the NOC problem can be formulated into a robust mixed-integer linear program. The control structure is strategically configured into two levels to realize online deployment. The proposed control is verified on the modified 33-node microgrid with a full-order three-phase nonlinear model in Simulink. The simulation results show the effectiveness of the proposed control paradigm and the necessity of considering linearization-induced uncertainty.
Original languageAmerican English
Number of pages16
JournalApplied Energy
Volume333
DOIs
StatePublished - 2023

NREL Publication Number

  • NREL/JA-5D00-85178

Keywords

  • frequency response
  • interval analysis
  • microgrids
  • mixed-integer linear programming
  • numerical optimal control
  • reachability
  • uncertainty quantification
  • wind turbine generator

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