Iterative DC Optimal Power Flow Considering Transmission Network Loss

Mingyu Ou*, Ying Xue, Xiao Ping Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In today's electricity market, DC optimal power flow and AC optimal power flow have become the main models to simulate generation dispatch and calculate locational marginal price. Although DC optimal power flow has the advantage of robustness, its result is not accurate compared to AC optimal power flow due to the neglect of transmission network loss. In this article, an iterative DC optimal power flow model with explicit consideration of accurate AC network loss is proposed. A general Newton–Raphson method is applied in this method to calculate AC transmission network loss, and iteration is used to minimize the error of calculated loss. The fictitious bus load is utilized to represent the loss, which is divided equally on each line. The proposed model is compared with basic DC optimal power flow and AC optimal power flow models on the calculation of locational marginal prices using PJM 5-bus and IEEE 30-bus systems at various load levels. The results show that the proposed model obtains better approximation of AC optimal power flow model on the simulation of generation dispatch and calculation of locational marginal prices.

Original languageEnglish
Pages (from-to)955-965
Number of pages11
JournalElectric Power Components and Systems
Issue number9
Early online date9 May 2016
Publication statusE-pub ahead of print - 9 May 2016


  • AC optimal power flow
  • DC optimal power flow
  • electricity market
  • fictitious bus load
  • generation dispatch
  • locational marginal price

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Mechanical Engineering
  • Energy Engineering and Power Technology


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