Multiphase Optimal and Non-Singular Power Flow by Successive Linear Approximations: Preprint

Andrey Bernstein, Cong Wang, Jean-Yves Boudec

Research output: Contribution to conferencePaper


We propose an optimal power flow method for multiphase power systems. The method works for both radial and meshed networks, and is able to accommodate different types of load/source connections such as wye, delta, etc. Moreover, the method generates a sequence of non-singular points in the electrical state space and a corresponding sequence of power injections, which can be used in real-time control settings. Under certain conditions, the sequences attain the local minimum. The method has been tested using several typical networks, including the IEEE 37-bus and 123-bus test feeders.
Original languageAmerican English
Number of pages9
StatePublished - 2018
EventIEEE Power Systems Computation Conference (PSCC) - Dublin, Ireland
Duration: 11 Jun 201815 Jun 2018


ConferenceIEEE Power Systems Computation Conference (PSCC)
CityDublin, Ireland

Bibliographical note

See NREL/CP-5D00-72596 for paper as published in IEEE proceedings

NREL Publication Number

  • NREL/CP-5D00-70368


  • AC optimal power flow
  • existence
  • feasibility
  • multiphase power networks
  • nonsingularity
  • successive linear approximation
  • uniqueness


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