Jacobian singularities in optimal power flow problems caused by intertemporal constraints

Conference Paper

In multi-timestep Optimal Power Flow (OPF) formulations, constraints that are time-dependent such as generator ramp limits and specifically energy storage constraints may cause the Jacobian matrix to become singular as the problem iterates towards the optimal solution. The particular case of this singularity happens when the gradients of the binding intertemporal constraints are linearly dependent. Methods such as using a Moore-Penrose pseudoinverse or modifying the models used in the optimization are discussed along with novel methods developed in this paper that avoid the singular Jacobian by exploiting the specific structure of the problem and constraints. © 2013 IEEE.

Full Text

Duke Authors

Cited Authors

  • Baker, K; Zhu, D; Hug, G; Li, X

Published Date

  • December 1, 2013

Published In

  • 45th North American Power Symposium, Naps 2013

International Standard Book Number 13 (ISBN-13)

  • 9781479912551

Digital Object Identifier (DOI)

  • 10.1109/NAPS.2013.6666876

Citation Source

  • Scopus