Open AccessMixed‐integer second‐order cone programing model for VAR optimisation and network reconfiguration in active distribution networks
Author(s) -
Tian Zhuang,
Wu Wenchuan,
Zhang Boming,
Bose Anjan
Publication year - 2016
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2015.1228
Subject(s) - integer programming , ac power , control reconfiguration , mathematical optimization , piecewise , control theory (sociology) , reduction (mathematics) , integer (computer science) , position (finance) , second order cone programming , power (physics) , voltage , relaxation (psychology) , schedule , computer science , convex optimization , regular polygon , engineering , mathematics , control (management) , artificial intelligence , mathematical analysis , embedded system , programming language , finance , economics , operating system , psychology , social psychology , geometry , quantum mechanics , physics , electrical engineering
This study presents a comprehensive optimisation model that combines reactive power (VAR) optimisation and network reconfiguration to minimise power losses and eliminate voltage violations. In this model, the reactive power of distributed generators (DGs), VAR compensators, the position of tap‐changer and the states of branches are formulated as continuous and discrete decision variables. The original non‐convex three‐phase optimisation model was converted to a mixed‐integer second‐order cone programming model using the second‐order cone relaxation, big‐M method and piecewise linearisation. The results of numerical tests showed that the proposed model can achieve significant additional gains in network loss reduction and voltage violation mitigation. This developed method can be used as a basic analysis tool for active distribution networks operation schedule or planning.