Improvement optimal power flow solution considering SVC and TCSC controllers using new partitioned ant lion algorithm
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ORIGINAL PAPER
Improvement optimal power flow solution considering SVC and TCSC controllers using new partitioned ant lion algorithm Belkacem Mahdad1 Received: 27 September 2019 / Accepted: 4 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper introduces a new partitioned ant lion optimizer (PALO) strategy to improve the solution accuracy and quality of the optimal power flow (OPF) considering multi Static VAR Compensator (SVC) and Thyristor Controlled Series Controller (TCSC)-based FACTS devices. An interactive partitioning structure-based ALO is proposed to improve the solution of OPF by creating an interactive equilibrium between diversification and intensification during the search process. The decision variables such as active power, voltage magnitudes of generating units, tap transformers; reactive power of Static VAR Compensator (SVC), and the reactance of TCSC devices are optimized using a flexible partitioned process. Three objective functions, such as total fuel cost, total power loss, and total voltage deviation have been optimized considering load growth. The robustness of the proposed PALO has been validated on three test systems, the IEEE 30-bus, and two large test systems, the 300-bus and 2736 ps bus of the Polish power system. Results compared to many recent techniques prove the particularity and competitiveness of the proposed optimization strategy-based PALO. Keywords Partitioned ant lion optimizer (PALO) · OPF · SVC · TCSC · Diversification · Intensification Abbreviations Fcost Objective function for fuel cost minimization Fploss Objective function for power loss minimization FVD Objective function for voltage deviation Fploss,VD Objective function for power loss and voltage deviation FVD,Norm Normalized objective function for voltage deviation H(SV,CV) Equality constraints G(SV,CV) Inequality constraints F Cost − VD Combined objective function for fuel cost and voltage deviation minimization FKl Objective function for loading margin stability maximization SV Vector of state variables SC Vector of control variables Kl Loading factor 𝛽 Penalty factor Vref Reference voltage, taken equal 1 p.u. * Belkacem Mahdad belkacem.mahdad@univ‑biskra.dz 1
Belkacem Mahdad, Department of Electrical Engineering, University of Biskra, Biskra, Algeria
new New apparent power at load bus Sload base Base apparent power at load bus Sload min max ,VGi Voltage magnitude limits at PV buses VGi ,Pmax Active power limits of generators Pmin Gi Gi min Reactive power limits of generators QGi , Qmax Gi PGs , QGs Active and reactive power of slack bus Timin,Timax Limits on the regulating transformers N Number of bus NG Number of generators Nt Number of regulating transformers Npq Number of load buses Npv Number of generator buses Nl Number of transmission lines Nsh Number of shunt compensators Nsvc Number of SVC max Bmin SVC , BSVC Susceptance limits of SVC compensators max min VLi , VLi Voltage magnitude limits at PQ buses Slimax Maximum transmiss
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