An efficient particle swarm optimization algorithm to solve optimal power flow problem integrated with FACTS devices

Abstract Optimal power flow (OPF) is one of the most important tools in power system operation and control, which determines the minimum operating cost and retains the control variables in their secure boundaries. This paper takes into account several unbridled practical constraints in the OPF problem, three of which – that is – valve-point effect, multi-fuel option, and, above all, prohibited operating zone are the most conspicuous ones. Further, the flexible alternating current transmission systems (FACTS) devices are considered, as well, which have several merits such as decreasing the active power transmission loss, controlling the power flow, and improving the voltage stability/profile, to name but a few. Accordingly, thyristor controlled series capacitor (TCSC) – the most popular and common component of the FACTS equipment’s category – is utilized in this study. As a result, the OPF problem integrated with such practical constraints referred to above as well as FACTS devices becomes a highly nonlinear-nonconvex optimization problem and to solve it, a reliable and efficient evolutionary algorithm such as fuzzy-based improved comprehensive-learning particle swarm optimization (FBICLPSO) algorithm is introduced. The proposed approach is scrutinized on IEEE 30-bus test system, which is a commonly used test system for solving the non-smooth and non-convex versions of the OPF problem. Comparing the obtained results by the proposed algorithm with the available alternatives in the literature corroborate the potential and effectiveness of the proposed approach.

[1]  Jing J. Liang,et al.  Comprehensive learning particle swarm optimizer for global optimization of multimodal functions , 2006, IEEE Transactions on Evolutionary Computation.

[2]  Vivekananda Mukherjee,et al.  Solution of optimal power flow with FACTS devices using a novel oppositional krill herd algorithm , 2016 .

[3]  Biplab Bhattacharyya,et al.  Optimal placement of TCSC and SVC for reactive power planning using Whale optimization algorithm , 2017, Swarm Evol. Comput..

[4]  Ahmad Hakimi,et al.  Ideal Gas Optimization Algorithm , 2017 .

[5]  Nitin Malik,et al.  A Hybrid Approach for Secured Optimal Power Flow and Voltage Stability with TCSC Placement , 2016, ArXiv.

[6]  Mahdi Pourakbari-Kasmaei,et al.  Multi-area environmentally constrained active–reactive optimal power flow: a short-term tie line planning study , 2016 .

[7]  K. Vaisakh,et al.  A genetic evolving ant direction DE for OPF with non-smooth cost functions and statistical analysis , 2010 .

[8]  Halife Kodaz,et al.  A novel parallel multi-swarm algorithm based on comprehensive learning particle swarm optimization , 2015, Eng. Appl. Artif. Intell..

[9]  Venkata Reddy Kota,et al.  Optimal setting of FACTS devices for voltage stability improvement using PSO adaptive GSA hybrid algorithm , 2016 .

[10]  Ranjit Roy,et al.  Stochastic optimal power flow incorporating offshore wind farm and electric vehicles , 2015 .

[11]  László T. Kóczy,et al.  Signatures: Definitions, operators and applications to fuzzy modelling , 2012, Fuzzy Sets Syst..

[12]  M. A. Abido,et al.  Optimal power flow using Teaching-Learning-Based Optimization technique , 2014 .

[13]  Ulaş Kılıç,et al.  Optimal power flow of two-terminal HVDC systems using backtracking search algorithm , 2016 .

[14]  G. Emily Manoranjitham,et al.  RETRACTED: Application of Firefly Algorithm On Optimal Power Flow Control Incorporating Simplified Impedance UPFC Model , 2015 .

[15]  Adnan Acan,et al.  A great deluge and tabu search hybrid with two-stage memory support for quadratic assignment problem , 2015, Appl. Soft Comput..

[16]  Ali Akdağli,et al.  Optimal power flow with SVC devices by using the artificial bee colony algorithm , 2016 .

[17]  Malabika Basu,et al.  Optimal power flow with FACTS devices using differential evolution , 2008 .

[18]  Canbing Li,et al.  Improved group search optimization method for optimal power flow problem considering valve-point loading effects , 2015, Neurocomputing.

[19]  Mohammad Rasoul Narimani,et al.  A New Bi-Objective Approach to Energy Management in Distribution Networks with Energy Storage Systems , 2018, IEEE Transactions on Sustainable Energy.

[20]  Kala Meah,et al.  Genetic evolving ant direction particle swarm optimization algorithm for optimal power flow with non-smooth cost functions and statistical analysis , 2013, Appl. Soft Comput..

[21]  C. K. Babulal,et al.  Fuzzy harmony search algorithm based optimal power flow for power system security enhancement , 2016 .

[22]  Francisco Herrera,et al.  Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: Experimental analysis of power , 2010, Inf. Sci..

[23]  Taher Niknam,et al.  A modified shuffle frog leaping algorithm for multi-objective optimal power flow , 2011 .

[24]  Samir Sayah,et al.  Modified differential evolution algorithm for optimal power flow with non-smooth cost functions , 2008 .

[25]  Yao Jian-gang,et al.  A new method for secured optimal power flow under normal and network contingencies via optimal location of TCSC , 2013 .

[26]  H. T. Jadhav,et al.  Temperature dependent optimal power flow using g-best guided artificial bee colony algorithm , 2016 .

[27]  Mahdi Pourakbari-Kasmaei,et al.  An Unambiguous Distance-Based MIQP Model to Solve Economic Dispatch Problems with Disjoint Operating Zones , 2016, IEEE Transactions on Power Systems.

[28]  Taher Niknam,et al.  Dynamic optimal power flow using hybrid particle swarm optimization and simulated annealing , 2013 .

[29]  Mohammad Rasoul Narimani,et al.  A multi-objective framework for multi-area economic emission dispatch , 2018, Energy.

[30]  Mohammad Rasoul Narimani,et al.  A comprehensive study of practical economic dispatch problems by a new hybrid evolutionary algorithm , 2017, Appl. Soft Comput..

[31]  M. Friedman A Comparison of Alternative Tests of Significance for the Problem of $m$ Rankings , 1940 .

[32]  Ponnuthurai N. Suganthan,et al.  Heterogeneous comprehensive learning particle swarm optimization with enhanced exploration and exploitation , 2015, Swarm Evol. Comput..

[33]  N Rajasekar,et al.  An enhanced bacterial foraging algorithm approach for optimal power flow problem including FACTS devices considering system loadability. , 2013, ISA transactions.

[34]  Radu-Emil Precup,et al.  Nature-inspired optimal tuning of input membership functions of Takagi-Sugeno-Kang fuzzy models for Anti-lock Braking Systems , 2015, Appl. Soft Comput..

[35]  M. Narimani,et al.  A novel approach to multi-objective optimal power flow by a new hybrid optimization algorithm considering generator constraints and multi-fuel type , 2013 .

[36]  Sahand Ghavidel,et al.  A novel hybrid algorithm of imperialist competitive algorithm and teaching learning algorithm for optimal power flow problem with non-smooth cost functions , 2014, Eng. Appl. Artif. Intell..

[37]  Mohammad Rasoul Narimani,et al.  A novel fuzzy adaptive configuration of particle swarm optimization to solve large-scale optimal reactive power dispatch , 2017, Appl. Soft Comput..

[38]  Mahdi Pourakbari-Kasmaei,et al.  Logically constrained optimal power flow: Solver-based mixed-integer nonlinear programming model , 2018 .

[39]  K. Vaisakh,et al.  Multi-objective adaptive clonal selection algorithm for solving optimal power flow considering multi-type FACTS devices and load uncertainty , 2014, Appl. Soft Comput..

[40]  Hou-Ping Dai,et al.  Effects of Random Values for Particle Swarm Optimization Algorithm , 2018, Algorithms.

[41]  Ajoy Kumar Chakraborty,et al.  Solution of optimal power flow using non dominated sorting multi objective opposition based gravitational search algorithm , 2015 .

[42]  Mohammad Rasoul Narimani,et al.  Multi-objective dynamic distribution feeder reconfiguration in automated distribution systems , 2018 .

[43]  Ioan-Daniel Borlea,et al.  Stable Takagi-Sugeno Fuzzy Control Designed by Optimization , 2017 .

[44]  Ragab A. El-Sehiemy,et al.  Optimal power flow using an Improved Colliding Bodies Optimization algorithm , 2016, Appl. Soft Comput..

[45]  B. Venkateswara Rao,et al.  Optimal power flow by BAT search algorithm for generation reallocation with unified power flow controller , 2015 .

[46]  Ponnuthurai N. Suganthan,et al.  Optimal power flow solutions using differential evolution algorithm integrated with effective constraint handling techniques , 2018, Eng. Appl. Artif. Intell..

[47]  Sirigiri Sivanagaraju,et al.  Analysis and effect of multi-fuel and practical constraints on economic load dispatch in the presence of Unified Power Flow Controller using UDTPSO , 2015 .

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

[49]  Oscar Castillo,et al.  A state of the art review of intelligent scheduling , 2018, Artificial Intelligence Review.

[50]  K. Vaisakh,et al.  Genetic evolving ant direction HDE for OPF with non-smooth cost functions and statistical analysis , 2011, Expert Syst. Appl..

[51]  Linda Sliman,et al.  Economic Power Dispatch of Power System with Pollution Control using Multiobjective Ant Colony Optimization , 2007 .

[52]  Serhat Duman,et al.  Optimal power flow using gravitational search algorithm , 2012 .

[53]  Weerakorn Ongsakul,et al.  Optimal power flow with FACTS devices by hybrid TS/SA approach , 2002 .

[54]  Turaj Amraee,et al.  A two stage model for rotor angle transient stability constrained optimal power flow , 2016 .

[55]  Kadir Abaci,et al.  Differential search algorithm for solving multi-objective optimal power flow problem , 2016 .

[56]  Taher Niknam,et al.  A new hybrid algorithm for optimal power flow considering prohibited zones and valve point effect , 2012 .

[57]  Mojtaba Ghasemi,et al.  Solving non-linear, non-smooth and non-convex optimal power flow problems using chaotic invasive weed optimization algorithms based on chaos , 2014 .

[58]  Mahdi Pourakbari-Kasmaei,et al.  An unequivocal normalization-based paradigm to solve dynamic economic and emission active-reactive OPF (optimal power flow) , 2014 .

[59]  Vo Ngoc Dieu,et al.  Augmented Lagrange Hopfield network initialized by quadratic programming for economic dispatch with piecewise quadratic cost functions and prohibited zones , 2013, Appl. Soft Comput..

[60]  M. Basu,et al.  Multi-objective optimal power flow with FACTS devices , 2011 .

[61]  Parimal Acharjee,et al.  Optimal power flow with UPFC using security constrained self-adaptive differential evolutionary algorithm for restructured power system , 2016 .

[62]  Mohammad Rasoul Narimani,et al.  A hybrid evolutionary algorithm for secure multi-objective distribution feeder reconfiguration , 2017 .

[63]  Vivekananda Mukherjee,et al.  A novel symbiotic organisms search algorithm for optimal power flow of power system with FACTS devices , 2016 .

[64]  Steffen Rebennack,et al.  Optimal power flow: a bibliographic survey I , 2012, Energy Systems.

[65]  Mahdi Pourakbari-Kasmaei,et al.  An effortless hybrid method to solve economic load dispatch problem in power systems , 2011 .

[66]  Sakti Prasad Ghoshal,et al.  Particle swarm optimization with an aging leader and challengers algorithm for optimal power flow problem with FACTS devices , 2015 .