An enhanced sitting–sizing scheme for shunt capacitors in radial distribution systems using improved atom search optimization

In this paper, an enhanced sitting–sizing scheme for shunt capacitors (4SCs) in a radial distribution system (RDS) based on an improved atom search optimization (IASO) algorithm is proposed. IASO emulates the model of atomic motion in nature based on interaction forces among atoms. The main goal of the 4SCs problem is to reduce the line losses and minimize the capacitor installation cost by searching for the optimal location and sizing of the capacitors. This leads to improvements in the voltage profile and reliability of the system. The IASO algorithm is introduced to achieve the optimal sitting and sizing of capacitors for RDSs. The proposed IASO algorithm is benchmarked and validated on different radial systems, including the IEEE 33-bus, IEEE 34-bus, IEEE 65-bus, IEEE 85-bus and Marsa Matrouh networks, to demonstrate its performance in real-world applications. The results obtained by the proposed IASO algorithm are compared with the standard ASO, PSO, SCA, GWO and SSA algorithms. Furthermore, the significance of the obtained results is confirmed by performing a nonparametric statistical test, i.e., the Wilcoxon’s rank-sum at the 5% significance level. The comprehensive results demonstrate that the results obtained by the proposed IASO algorithm denominate the results obtained by the other algorithms and that IASO minimizes the operating costs while achieving better voltage profiles.

[1]  Ragab A. El-Sehiemy,et al.  A novel parallel hurricane optimization algorithm for secure emission/economic load dispatch solution , 2018, Appl. Soft Comput..

[2]  S. Civanlar,et al.  Volt/Var Control on Distribution Systems with Lateral Branches Using Shunt Capacitors and Voltage Regulators Part I: The Overall Problem , 1985, IEEE Transactions on Power Apparatus and Systems.

[3]  R. Srinivasas Rao,et al.  Optimal capacitor placement in a radial distribution system using Plant Growth Simulation Algorithm , 2008 .

[4]  Francisco Herrera,et al.  A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms , 2011, Swarm Evol. Comput..

[5]  J. V. Schmill,et al.  Optimum Size and Location of Shunt Capacitors on Distribution Feeders , 1965 .

[6]  R. S. Bhatia,et al.  Optimal capacitor placement in radial distribution system , 2014, 2014 IEEE 6th India International Conference on Power Electronics (IICPE).

[7]  Siddhartha Bhattacharyya,et al.  Chaotic crow search algorithm for fractional optimization problems , 2018, Appl. Soft Comput..

[8]  Gregory Levitin,et al.  Optimal capacitor allocation in distribution systems using a genetic algorithm and a fast energy loss computation technique , 2000 .

[9]  Timon Rabczuk,et al.  A multi-material level set-based topology optimization of flexoelectric composites , 2018, 1901.10752.

[10]  R. M. Rizk-Allah,et al.  Hybridizing ant colony optimization with firefly algorithm for unconstrained optimization problems , 2013, Appl. Math. Comput..

[11]  G. Ciccotti,et al.  Numerical Integration of the Cartesian Equations of Motion of a System with Constraints: Molecular Dynamics of n-Alkanes , 1977 .

[12]  Attia A. El-Fergany,et al.  Optimal allocation of multi-type distributed generators using backtracking search optimization algorithm , 2015 .

[13]  Xin-She Yang,et al.  Optimal capacitor placement in radial distribution systems using flower pollination algorithm , 2018, Alexandria Engineering Journal.

[14]  Naif Alajlan,et al.  Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems , 2019, Computers, Materials & Continua.

[15]  Andrew Lewis,et al.  Grey Wolf Optimizer , 2014, Adv. Eng. Softw..

[16]  M. Surya Kalavathi,et al.  Optimal capacitor placement in radial distribution system using Gravitational Search Algorithm , 2015 .

[17]  Rizk M Rizk Allah,et al.  Hybridization of Fruit Fly Optimization Algorithm and Firefly Algorithm for Solving Nonlinear Programming Problems , 2016 .

[18]  R. M. Rizk-Allah,et al.  A Novel Hybrid Ant Colony Optimization and Firefly Algorithm for Solving Constrained Engineering Design Problems , 2013 .

[19]  Hossam Faris,et al.  Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems , 2017, Adv. Eng. Softw..

[20]  Janet E. Jones.  On the determination of molecular fields. III.—From crystal measurements and kinetic theory data , 1924 .

[21]  R. M. Rizk-Allah,et al.  New binary bat algorithm for solving 0–1 knapsack problem , 2017, Complex & Intelligent Systems.

[22]  Zhenxing Zhang,et al.  Atom search optimization and its application to solve a hydrogeologic parameter estimation problem , 2019, Knowl. Based Syst..

[23]  S. M. Allam,et al.  Assessment of hybrid renewable energy with energy storage system for supplying distribution networks in Egypt , 2017, 2017 Nineteenth International Middle East Power Systems Conference (MEPCON).

[24]  R. M. Rizk-Allah,et al.  An improved sine–cosine algorithm based on orthogonal parallel information for global optimization , 2018, Soft Computing.

[25]  J. Grainger,et al.  Optimum Size and Location of Shunt Capacitors for Reduction of Losses on Distribution Feeders , 1981, IEEE Transactions on Power Apparatus and Systems.

[26]  C. Lakshminarayana,et al.  Optimal siting of capacitors in radial distribution network using Whale Optimization Algorithm , 2017 .

[27]  Mohamed Elhoseny,et al.  A new binary salp swarm algorithm: development and application for optimization tasks , 2018, Neural Computing and Applications.

[28]  R. M. Rizk-Allah,et al.  Hybridizing sine cosine algorithm with multi-orthogonal search strategy for engineering design problems , 2018, J. Comput. Des. Eng..

[29]  Hernando Dura,et al.  Optimum Number, Location, and Size of Shunt Capacitors in Radial Distribution Feeders A Dynamic Programming Approach , 1968 .

[30]  S. Civanlar,et al.  Volt/Var Control on Distribution Systems with Lateral Branches Using Shunt Capacitors and Voltage Regulators Part III: The Numerical Results , 1985, IEEE Transactions on Power Apparatus and Systems.

[31]  Ragab A. El-Sehiemy,et al.  A novel fruit fly framework for multi-objective shape design of tubular linear synchronous motor , 2017, The Journal of Supercomputing.

[32]  M. E. Baran,et al.  Optimal sizing of capacitors placed on a radial distribution system , 1989 .

[33]  J. W. Humberston.  Classical mechanics , 1980, Nature.

[34]  Taher Niknam,et al.  A new multi objective optimization approach based on TLBO for location of automatic voltage regulators in distribution systems , 2012, Eng. Appl. Artif. Intell..

[35]  J. Teng.  A direct approach for distribution system load flow solutions , 2003 .

[36]  E. S. Ali,et al.  Improved Harmony Algorithm and Power Loss Index for optimal locations and sizing of capacitors in radial distribution systems , 2016 .

[37]  M. E. Baran,et al.  Optimal capacitor placement on radial distribution systems , 1989 .

[38]  Ahmed Ahmed EI-Sawya,et al.  • A NOVEL HYBRID ANT COLONY OPTIMIZATION AND FIREFLY ALGORITHM FOR MULTI-OBJECTIVE OPTIMIZATION PROBLEMS , 2013 .

[39]  M. Sydulu,et al.  Particle Swarm Optimization Based Capacitor Placement on Radial Distribution Systems , 2007, 2007 IEEE Power Engineering Society General Meeting.

[40]  Zhao Liu,et al.  Diversity enhanced particle swarm optimization algorithm and its application in vehicle lightweight design , 2019, Journal of Mechanical Science and Technology.