Title: Lagrangian decomposition model to minimise loss in transmission network

Authors: S. Maheswari; R. Santhosh Kumar; C. Vijayalakshmi

Addresses: Department of Mathematics, Sathyabama University, Chennai, India ' TNEB, Chennai, India ' Department of Mathematics, VIT University, Chennai Campus, India

Abstract: This paper mainly deals with the power quality, system stability and consumer demand of the electrical power system. Mixed integer programming (MIP) model is formulated for reactive power distribution and power distribution using distributed generation (DG) capacity units. Reactive power distribution is a sub problem for optimal power flow (OPF) problem and the objective is to find the minimum active power loss in the transmission network. The aim of DG is to minimise the real power loss by improving the system voltage profile which increases the maximum loadability of the system. MIP model is solved by using Lagrangian relaxation (LR) technique. LR technique decomposes the model into subproblems which gives the optimum solution for MIP. Based on the numerical calculations and graphical representation, the minimum active power loss is obtained by LR technique.

Keywords: reactive power distribution; RPD; distributed generation capacity; mixed integer programming; MIP; active power loss; Lagrangian relaxation; Lagrangian decomposition; transmission networks; power quality; system stability; consumer demand; electrical power systems; optimal power flow.

DOI: 10.1504/IJENM.2016.077530

International Journal of Enterprise Network Management, 2016 Vol.7 No.2, pp.152 - 160

Received: 01 Dec 2014
Accepted: 29 Jan 2015
Published online: 05 Jul 2016 *

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