Fictitious losses in the DCOPF with a piecewise linear approximation of losses

Oluwaseyi W. Akinbode, Kory Hedman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations


This paper examines the effect of fictitious or non-physical losses on optimal power flow solutions and LMPs. Fictitious losses are created when segments of piecewise linear functions used to approximate real power losses for a DCOPF problem are selected in the wrong order. The segments of a piecewise linear function may be improperly selected when non-positive LMPs occur. Creating fictitious losses at a bus with a negative LMP increases the LMP until it is either zero or until fictitious losses cannot be created any longer. This effect is rigorously examined in this paper, proven theoretically with duality theory and the KKT conditions and illustrated with a numerical example. A MILP formulation to correct for fictitious losses is also discussed.

Original languageEnglish (US)
Title of host publication2013 IEEE Power and Energy Society General Meeting, PES 2013
StatePublished - 2013
Event2013 IEEE Power and Energy Society General Meeting, PES 2013 - Vancouver, BC, Canada
Duration: Jul 21 2013Jul 25 2013

Publication series

NameIEEE Power and Energy Society General Meeting
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933


Other2013 IEEE Power and Energy Society General Meeting, PES 2013
CityVancouver, BC


  • Locational Marginal Price
  • Marginal Loss Price
  • Piecewise Linear Approximation of Losses

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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