Continuous-Time Frequency-Constrained Unit Commitment Framework with Start-Up and Shut-Down Trajectory Optimization

This paper proposes a novel continuous-time frequency-constrained unit commitment (CFCUC) framework that utilizes Bernstein polynomials to represent continuous variables and enable the calculation of frequency response-related metrics. It introduces a data-driven approach to address the complexities of the non-linear frequency nadir constraint, and incorporates start-up and shut-down trajectories to improve the model's representation and computational efficiency.