Solution proposal to the unit commitment problem incorporating manifold uncertainties

The widespread uncertainties have made the interaction of renewable energy sources and power grid more complicated and difficult to handle. This study proposes a solution proposal to the unit commitment problem incorporating multiple uncertainties, consisting of probability, possibility, and interval measures. To handle the manifold uncertainties in a focused and efficient manner, the evidence theory (ET) is applied to fuse these uncertain variables into Dempster–Shafer (DS) structure. Furthermore, the uncertainty of power loss is considered and modelled by applying the ET and the extended affine arithmetic framework. Regarding the highly non-linear mix-discrete constrained multivariable characteristic of the established optimisation model, an enhanced binary grey wolf optimiser algorithm is introduced, in which some key issues such as how to compare the objective function values with DS structure, how to deal with the inequality constraints with DS structure, and how to repair the constraints during the solution process are elaborately discussed. Finally, the IEEE 30-bus test system and a real-sized 183-bus China power system are studied to demonstrate the validity and scalability of the proposed model and method.