Geometry of Power Flows and Optimization in Distribution Networks

  title={Geometry of Power Flows and Optimization in Distribution Networks},
  author={Javad Lavaei and David N. Tse and Baosen Zhang},
  journal={IEEE Transactions on Power Systems},
We investigate the geometry of injection regions and its relationship to optimization of power flows in tree networks. The injection region is the set of all vectors of bus power injections that satisfy the network and operation constraints. The geometrical object of interest is the set of Pareto-optimal points of the injection region. If the voltage magnitudes are fixed, the injection region of a tree network can be written as a linear transformation of the product of two-bus injection regions… CONTINUE READING
Highly Cited
This paper has 102 citations. REVIEW CITATIONS
71 Citations
19 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 71 extracted citations

102 Citations

Citations per Year
Semantic Scholar estimates that this publication has 102 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 19 references

Distributio n test feeders

  • Distribution Test Feeder Working Group
  • stfeeders…
  • 2010
2 Excerpts

Similar Papers

Loading similar papers…