Work

An improved probability efficient point method based on outer approximation for unit commitment of multi-area power systems

Year: 2025

Type: article

Abstract: The increasing penetration of renewable energy in multi-area power systems with renewable energy (MAS-RE) introduces significant uncertainties, posing substantial challenges to the unit commitment (UC) problem. Joint chance constraints (JCCs) effectively characterize the dependencies among uncertain variables, and the p-efficient point (PEP) method is effective for solving JCCs in the UC problem. However, with the increasing dimensionality and distributional heterogeneity of uncertainties, the PEP method faces challenges in maintaining accuracy and computational efficiency. To address these challenges, we propose a multi-dimensional PEP-based reformulation method for JCCs with multiple types of random variables, which leverages the additive property of distributions across different types of random variables to address the challenges posed by multi-type uncertainties. Subsequently, we apply the outer approximation method to PEP computation by categorizing and approximating the decision variables to accelerate the iterative process. Finally, case studies demonstrate that the proposed framework effectively addresses the UC problem of MAS-RE, ensuring the feasibility of the UC plan while significantly reducing the computation time.

Source: Results in Engineering

DOI: 10.1016/j.rineng.2025.108347