A novel fast semidefinite programming-based approach for optimal reactive power dispatch

Elnaz Davoodi, Ebrahim Babaei, Behnam Mohammadi-Ivatloo, Mohammad Rasouli

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


Reactive power planning problem is the key to secure and economic operation of power systems. Optimal management of existing reactive sources leads to loss minimization and economic performance of the system. Because of the nonlinear inter-relation between the physical parameters of the electric grid, this problem is a highly nonlinear and nonconvex constrained optimization problem. The application of semidefinite programming (SDP) to power system problems has recently gained considerable research attention. A recent SDP formulation uses a convex relaxation to the nonconvex optimal power flow problem under some technical conditions. This paper proposes a novel equivalent convex optimization formulation for the optimal reactive power dispatch (ORPD) problem and presents a new framework for finding the global optimum. Numerical results for the IEEE 30-bus and 118-bus test systems show that the proposed scheme obtains the optimum operation point and outperforms various state-of-the-art methods significantly.

Original languageEnglish (US)
Article number8720011
Pages (from-to)288-298
Number of pages11
JournalIEEE Transactions on Industrial Informatics
Issue number1
StatePublished - Jan 2020

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Information Systems
  • Computer Science Applications
  • Electrical and Electronic Engineering


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