English

Sizing Storage for Reliable Renewable Integration: A Large Deviations Approach

Systems and Control 2019-04-10 v1 Optimization and Control

Abstract

The inherent intermittency of wind and solar generation presents a significant challenge as we seek to increase the penetration of renewable generation in the power grid. Increasingly, energy storage is being deployed alongside renewable generation to counter this intermittency. However, a formal characterization of the reliability of renewable generators bundled with storage is lacking in the literature. The present paper seeks to fill this gap. We use a Markov modulated fluid queue to model the loss of load probability (LOLP) associated with a renewable generator bundled with a battery, serving an uncertain demand process. Further, we characterize the asymptotic behavior of the LOLP as the battery size scales to infinity. Our results shed light on the fundamental limits of reliability achievable, and also guide the sizing of the storage required in order to meet a given reliability target. Finally, we present a case study using real-world wind power data to demonstrate the applicability of our results in practice.

Keywords

Cite

@article{arxiv.1904.04771,
  title  = {Sizing Storage for Reliable Renewable Integration: A Large Deviations Approach},
  author = {Vivek Deulkar and Jayakrishnan Nair and Ankur A. Kulkarni},
  journal= {arXiv preprint arXiv:1904.04771},
  year   = {2019}
}

Comments

Submitted to the IEEE Transactions on Power Systems

R2 v1 2026-06-23T08:34:26.960Z