English

An Analytical Probabilistic Expression for Modeling Sum of Spatial-dependent Wind Power Output

Systems and Control 2019-08-19 v1 Systems and Control

Abstract

Applying probability-related knowledge to accurately explore and exploit the inherent uncertainty of wind power output is one of the key issues that need to be solved urgently in the development of smart grid. This letter develops an analytical probabilistic expression for modeling sum of spatial-dependent wind farm power output through introducing unit impulse function, copulas, and Gaussian mixture model. A comparative Monte Carlo sampling study is given to illustrate the validity of the proposed model.

Keywords

Cite

@article{arxiv.1908.05817,
  title  = {An Analytical Probabilistic Expression for Modeling Sum of Spatial-dependent Wind Power Output},
  author = {Libao Shi and Yang Pan and Yixin Ni},
  journal= {arXiv preprint arXiv:1908.05817},
  year   = {2019}
}
R2 v1 2026-06-23T10:48:49.459Z