Transmission-Constrained Unit Commitment
This work addresses the difficult problem of AC transmission-constrained unit commitment for power system operators, but the results are limited to a single test case.
The authors tackled the challenging mixed-integer non-linear unit commitment problem with AC transmission constraints. They proposed a decomposition approach using MISDP, achieving promising computational results on a Canary Islands test case.
The unit commitment with transmission constraints in the alternating-current (AC) model is a challenging mixed-integer non-linear optimisation problem. We present an approach based on decomposition of a Mixed-Integer Semidefinite Programming (MISDP) problem into a mixed-integer quadratic (MIQP) master problem and a semidefinite programming (SDP) sub-problem. Between the master problem and the sub-problem, we pass novel classes of cuts. We analyse finite convergence to the optimum of the MISDP and report promising computational results on a test case from the Canary Islands, Spain.