English

An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages

Systems and Control 2015-10-01 v3 Optimization and Control

Abstract

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution networks and address it using incremental passivity and distributed internal-model-based controllers. Incremental passivity enables a systematic approach to study convergence to the steady state with zero frequency deviation and to design the controller in the presence of time-varying voltages, whereas the internal-model principle is applied to tackle the uncertain nature of the loads.

Keywords

Cite

@article{arxiv.1403.7019,
  title  = {An internal model approach to (optimal) frequency regulation in power grids with time-varying voltages},
  author = {Sebastian Trip and Mathias Bürger and Claudio De Persis},
  journal= {arXiv preprint arXiv:1403.7019},
  year   = {2015}
}

Comments

16 pages. Abridged version appeared in the Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014, Groningen, the Netherlands. Submitted in December 2013