Stochastic Reactive Power Management in Microgrids with Renewables

Vassilis Kekatos, Gang Wang, Antonio J. Conejo, Georgios B. Giannakis

Research output: Contribution to journalArticlepeer-review

147 Scopus citations


Distribution microgrids are being challenged by reverse power flows and voltage fluctuations due to renewable generation, demand response, and electric vehicles. Advances in photovoltaic (PV) inverters offer new opportunities for reactive power management provided PV owners have the right investment incentives. In this context, reactive power compensation is considered here as an ancillary service. Accounting for the increasing time-variability of distributed generation and demand, a stochastic reactive power compensation scheme is developed. Given uncertain active power injections, an online reactive control scheme is devised. This scheme is distribution-free and relies solely on power injection data. Reactive injections are updated using the Lagrange multipliers of a second-order cone program. Numerical tests on an industrial 47-bus microgrid and the residential IEEE 123-bus feeder corroborate the reactive power management efficiency of the novel stochastic scheme over its deterministic alternative, as well as its capability to track variations in solar generation and household demand.

Original languageEnglish (US)
Article number6981998
Pages (from-to)3386-3395
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number6
StatePublished - Nov 1 2015

Bibliographical note

Publisher Copyright:
© 2014 IEEE.


  • Convex relaxation
  • loss minimization
  • optimal power flow
  • photovoltaic inverters
  • reactive power compensation
  • stochastic approximation
  • voltage regulation


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