Modeling the Stochastic Security-Constrained Unit Commitment Problem Considering Distribution Shift-Factors

Transmission network constraints have been traditionally incorporated into the Security-Constrained Unit Commitment (SCUC) problem using the classical DC formulation. Instead, this study proposes the application of distribution shift-factor to include the power flow constraints into the stochastic SCUC. As there is a reduction of decision variables and constraints in comparison with the classical formulation, we explore the computational performance of both linear formulations using different uncertainty information. Experiments conducted on the IEEE 39-bus and the Pegase 89-bus power test systems demonstrate that the proposed approach is more compact and less computationally burdensome than the classical formulation. This study also discusses how the number of load scenarios used to represent the uncertainty impact the computational complexity, the solution time, and the operational cost.