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Lagrangian decomposition model to minimise loss in transmission network

Lagrangian decomposition model to minimise loss in transmission network 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; LR. Reference to this paper should be made as follows: Maheswari, S., Santhosh Kumar, R. and Vayalakshmi, C. (2016) `Lagrangian decomposition model to minimise loss in transmission network', Int. J. Enterprise Network Magement, Vol. 7, No. 2, pp.152­160. Biographical notes: S. Maheswari received her BSc in Mathematics from http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Enterprise Network Management Inderscience Publishers

Lagrangian decomposition model to minimise loss in transmission network

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Publisher
Inderscience Publishers
Copyright
Copyright © 2016 Inderscience Enterprises Ltd.
ISSN
1748-1252
eISSN
1748-1260
DOI
10.1504/IJENM.2016.077530
Publisher site
See Article on Publisher Site

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; LR. Reference to this paper should be made as follows: Maheswari, S., Santhosh Kumar, R. and Vayalakshmi, C. (2016) `Lagrangian decomposition model to minimise loss in transmission network', Int. J. Enterprise Network Magement, Vol. 7, No. 2, pp.152­160. Biographical notes: S. Maheswari received her BSc in Mathematics from

Journal

International Journal of Enterprise Network Management – Inderscience Publishers

Published: Jan 1, 2016

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