English

Chance-constrained Unit Commitment via the Scenario Approach

Systems and Control 2019-10-24 v1 Systems and Control

Abstract

Keeping the balance between supply and demand is a fundamental task in power system operational planning practices. This task becomes particularly challenging due to the deepening penetration of renewable energy resources, which induces a significant amount of uncertainties. In this paper, we propose a chance-constrained Unit Commitment (c-UC) framework to tackle challenges from uncertainties of renewables. The proposed c-UC framework seeks cost-efficient scheduling of generators while ensuring operation constraints with guaranteed probability. We show that the scenario approach can be used to solve c-UC despite of the non-convexity from binary decision variables. We reveal the salient structural properties of c-UC, which could significantly reduce the sample complexity required by the scenario approach and speed up computation. Case studies are performed on a modified 118-bus system.

Keywords

Cite

@article{arxiv.1910.10639,
  title  = {Chance-constrained Unit Commitment via the Scenario Approach},
  author = {Xinbo Geng and Le Xie},
  journal= {arXiv preprint arXiv:1910.10639},
  year   = {2019}
}

Comments

An extended version (added an illustrative example using the 3-bus system) of the conference paper in Proceedings of the 51st North American Power Symposium (NAPS). arXiv admin note: text overlap with arXiv:1910.07672

R2 v1 2026-06-23T11:52:45.956Z