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

Andrey Bernstein, Cong Wang, Jean-Yves Boudec

Research output: Contribution to conferencePaperpeer-review

7 Scopus Citations


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, and combination thereof. Moreover, the method generates a sequence of nonsingular points (i.e., associated with non-singular power-flow Jacobian) 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 pages8
StatePublished - 20 Aug 2018
Event20th Power Systems Computation Conference, PSCC 2018 - Dublin, Ireland
Duration: 11 Jun 201815 Jun 2018


Conference20th Power Systems Computation Conference, PSCC 2018

Bibliographical note

See NREL/CP-5D00-70368 for preprint

NREL Publication Number

  • NREL/CP-5D00-72596


  • AC optimal power flow
  • Existence
  • Feasibility
  • Multiphase power networks
  • Non-singularity
  • Successive linear approximation
  • Uniqueness


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