Chaos embedded krill herd algorithm for optimal VAR dispatch problem of power system

Abstract Chaotic krill herd algorithm (KHA) (CKHA) is proposed in this paper to solve the optimal VAR dispatch problem of power system considering either minimization of real power loss or that of absolute value of total voltage deviation or improvements of voltage profile as an objective while satisfying all the equality and the inequality constraints of the power system network. Detailed studies of different chaotic maps are illustrated. Among these, Logistic map is considered in the proposed technique to improve the performance of the basic KHA. The performance of the proposed CKHA is implemented, successfully, on standard IEEE 14- and IEEE 118-bus test power systems in which the control of bus voltages, tap position of transformers and reactive power sources are involved. The results offered by the proposed CKHA are compared to other evolutionary optimization based techniques surfaced in the recent state-of-the-art literature. Simulation results indicate that the proposed CKHA approach yields better optimization efficacy over some other recent popular techniques in terms of results offered, effectiveness, quality of solution and convergence speed.

[1]  K. S. Swarup,et al.  Differential evolution approach for optimal reactive power dispatch , 2008, Appl. Soft Comput..

[2]  S. Granville Optimal reactive dispatch through interior point methods , 1994 .

[3]  Amir Hossein Gandomi,et al.  Krill herd algorithm for optimum design of truss structures , 2013, Int. J. Bio Inspired Comput..

[4]  M. Kalantar,et al.  Optimal reactive power dispatch based on harmony search algorithm , 2011 .

[5]  Xiaofu Xiong,et al.  Optimal reactive power control using modified interior point method , 2003 .

[6]  Bilal Alatas,et al.  Chaotic harmony search algorithms , 2010, Appl. Math. Comput..

[7]  K. Lo,et al.  A decoupled quadratic programming approach for optimal power dispatch , 1991 .

[8]  Ulaş Kılıç,et al.  Artificial bee colony algorithm solution for optimal reactive power flow , 2012, Appl. Soft Comput..

[9]  Mohd Herwan Sulaiman,et al.  Using the gray wolf optimizer for solving optimal reactive power dispatch problem , 2015, Appl. Soft Comput..

[10]  Yuancheng Li,et al.  A hybrid artificial bee colony assisted differential evolution algorithm for optimal reactive power flow , 2013 .

[11]  Amir Hossein Alavi,et al.  Structural Optimization Using Krill Herd Algorithm , 2013 .

[12]  R. C. Desai,et al.  Modern power system analysis , 1982, Proceedings of the IEEE.

[13]  R. Adapa,et al.  A review of selected optimal power flow literature to 1993. II. Newton, linear programming and interior point methods , 1999 .

[14]  Serhat Duman,et al.  Optimal reactive power dispatch using a gravitational search algorithm , 2012 .

[15]  P. Subbaraj,et al.  Optimal reactive power dispatch using self-adaptive real coded genetic algorithm , 2009 .

[16]  Amir Hossein Alavi,et al.  Levy-flight krill herd algorithm , 2013 .

[17]  Jianbin Qiu,et al.  Model Reduction for Discrete-Time Markovian Jump Systems with Deficient Mode Information , 2013 .

[18]  Khalil Valipour,et al.  Multi objective optimal reactive power dispatch using a new multi objective strategy , 2014 .

[19]  Mohammad Ali Abido,et al.  Differential evolution algorithm for optimal reactive power dispatch , 2011 .

[20]  David C. Yu,et al.  An optimal load flow study by the generalized reduced gradient approach , 1986 .

[21]  Bin Wu,et al.  Improved Artificial Bee Colony Algorithm with Chaos , 2011 .

[22]  B. Alatas,et al.  Chaos embedded particle swarm optimization algorithms , 2009 .

[23]  Amir Hossein Alavi,et al.  Krill herd: A new bio-inspired optimization algorithm , 2012 .

[24]  Chaohua Dai,et al.  Seeker Optimization Algorithm for Optimal Reactive Power Dispatch , 2009, IEEE Transactions on Power Systems.

[25]  Huanwen Tang,et al.  Application of chaos in simulated annealing , 2004 .

[26]  Chen Tian-Lun,et al.  Application of Chaos in Genetic Algorithms , 2002 .

[27]  S. M. Shahidehpour,et al.  An Efficient Technique for Reactive Power Dispatch Using a Revised Linear Programming Approach , 1988 .

[28]  Xin-She Yang,et al.  Firefly algorithm with chaos , 2013, Commun. Nonlinear Sci. Numer. Simul..

[29]  Deresh Ramjugernath,et al.  Application of the bio-inspired Krill Herd optimization technique to phase equilibrium calculations , 2015, Comput. Chem. Eng..

[30]  Deqiang Gan,et al.  Large-scale var optimization and planning by tabu search , 1996 .

[31]  T. M. Abdel-Rahman,et al.  Non-Linear Var Optimization Using Decomposition And Coordination , 1984 .

[32]  Sakti Prasad Ghoshal,et al.  Solution of reactive power dispatch of power systems by an opposition-based gravitational search algorithm , 2014 .

[33]  Wei Gong,et al.  Chaos Ant Colony Optimization and Application , 2009, 2009 Fourth International Conference on Internet Computing for Science and Engineering.

[34]  Abhishek Rajan,et al.  Optimal reactive power dispatch using hybrid Nelder–Mead simplex based firefly algorithm , 2015 .

[35]  Mahdi Taghizadeh,et al.  Solving optimal reactive power dispatch problem using a novel teaching-learning-based optimization algorithm , 2015, Eng. Appl. Artif. Intell..

[36]  K. Mahadevan,et al.  Comprehensive learning particle swarm optimization for reactive power dispatch , 2010, Appl. Soft Comput..

[37]  Chuangxin Guo,et al.  A multiagent-based particle swarm optimization approach for optimal reactive power dispatch , 2005 .

[38]  V. Mukherjee,et al.  Optimal reactive power dispatch by particle swarm optimization with an aging leader and challengers , 2015, Appl. Soft Comput..

[39]  Kenichi Aoki,et al.  Optimal VAr planning by approximation method for recursive mixed-integer linear programming , 1988 .

[40]  G.R.M. da Costa,et al.  Optimal reactive power flow via the modified barrier Lagrangian function approach , 2012 .

[41]  Mahdi Yaghoobi,et al.  Combination of krill herd algorithm with chaos theory in global optimization problems , 2013, 2013 3rd Joint Conference of AI & Robotics and 5th RoboCup Iran Open International Symposium.

[42]  Amir Hossein Gandomi,et al.  Chaotic bat algorithm , 2014, J. Comput. Sci..

[43]  D.C. Yu,et al.  A novel optimal reactive power dispatch method based on an improved hybrid evolutionary programming technique , 2004, IEEE Transactions on Power Systems.

[44]  Amir Hossein Gandomi,et al.  Chaotic Krill Herd algorithm , 2014, Inf. Sci..

[45]  A. Gandomi Interior search algorithm (ISA): a novel approach for global optimization. , 2014, ISA transactions.

[46]  Hamidreza Rashidy Kanan,et al.  Fuzzy Krill Herd optimization algorithm , 2014, 2014 First International Conference on Networks & Soft Computing (ICNSC2014).

[47]  Andreas Sumper,et al.  Reactive power dispatch in wind farms using particle swarm optimization technique and feasible solutions search , 2011 .