Chance-Constrained Unit Commitment for Power Systems with High Penetration of RESs and EVs

With the increasing penetration of renewable energy sources (RESs) and flexible loads, both the source and load exhibit significant uncertainty, making it hard to optimize the unit commitment (UC) scheduling appropriately. This paper proposes a chance-constrained unit commitment (CCUC) model addressing multiple uncertainties. The dispatching capability of electric vehicles (EV s) is aggregated through the Minkowski addition. The operating risks considering uncertainties are restricted by chance constraints, where the joint probability distribution of random variables is characterized by Gaussian mixture model (GMM). By using the affine invariance and the approximate cumulative density function of GMM, the chance constraints are able to be transformed accurately and efficiently into deterministic forms. Simulation results validate that the proposed method can handle the uncertainties, while decreasing the total operation cost.