Abstract
A novel improved differential evolutionary (IDE) algorithm is presented in this paper for optimizing the reactive power management (RPM) problems. The objective function of the RPM issue is considered as the minimization of active power losses. E−The proposed method is used to find the optimal value of control variables including reactive power generation of the generators, transformer tap settings, and reactive power sources. Initially, the power flow analysis approach is employed to detect the optimal position of flexible AC transmission systems (FACTS) devices. The proposed IDE approach is implemented on various IEEE standard test bus (i.e., IEEE−30,− 57, and-118) bus systems at 100%, 110%, and 120% active and reactive loading with FACTS devices to fulfill the desired objectives. The Static Var compensator (SVC) for shunt compensation and Thyristor controlled series compensator (TCSC) for series compensation is used. The outcomes obtained by utilizing the IDE approach are presented and compared to those obtained with some other promising optimization methods like variants of differential algorithm, moth flame optimization (MFO), brainstorm-based optimization (BSO), and particle swarm optimization (PSO). Finally, the statistical analysis and Wilcoxon signed rank test (WSRT) is thoroughly analyzed to demonstrate the firmness and accuracy of the proposed technique.
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References
Hingorani NG, Gyugyi L, El-Hawary M (2000) Understanding FACTS: concepts and technology of flexible AC transmission systems. IEEE Press, New York
Duan C, Fang W, Jiang L, Niu S (2015) FACTS devices allocation via sparse optimization. IEEE Trans Power Syst 31(2):1308–1319
Adebayo I, Jimoh A, Yusuff A (2018) Techniques for the identification of critical nodes leading to voltage collapse in a power system. Int J Emerg Electr Power Syst 19(2):20170129
Pourakbari-Kasmaei M, Mantovani JRS (2018) Logically constrained optimal power flow: solver-based mixed-integer nonlinear programming model. Int J Electr Power Energy Syst 97(4):240–249
Yang N, Yu., C.W., Wen, F., Chung, C.Y. (2007) An investigation of reactive power planning based on chance constrained programming. Int J Electrical Power Energy Sys 29(9):650–656
Phadke AR, Fozdar M, Niazi KR (2012) A new multi-objective fuzzy-GA formulation for optimal placement and sizing of shunt FACTS controller. Int J Electr Power Energy Syst 40(1):46–53
Bhattacharyya B, Gupta V (2014) Fuzzy based evolutionary algorithm for reactive power optimization with FACTS devices. Int J Electr Power Energy Syst 61(8):39–47
Gerbex S, Cherkaoui R, Germond AJ (2001) Optimal location of multi-type FACTS devices in a power system by means of genetic algorithms. IEEE Trans Power Syst 16(3):537–544
Eghbal M, Yorino N, El-Araby EE et al (2008) Multi-load level reactive power planning considering slow and fast VAR devices by means of particle swarm optimization. IET Gener Transm Distrib 2(5):743–751
Chen G, Liu L, Guo Y, et al (2016) “Multi-objective enhanced PSO algorithm for optimizing power losses and voltage deviation in power systems.” COMPEL: Int J Comput Math Electr Electron Eng 35(1): 350–372.
Naderi E et al (2019) An efficient particle swarm optimization algorithm to solve optimal power flow problem integrated with FACTS devices. Appl Soft Comput 80(7):243–262
Bhattacharyya B, Babu R (2016) Teaching learning-based optimization algorithm for reactive power planning. Int J Electr Power Energy Syst 81(8):248–253
Duman S, Guvenc U, Sonmez Y, Yorukeren N (2012) Optimal power flow using gravitational search algorithm. Energy Convers Manage 59(7):86–95
Bhattacharyya B, Kumar S (2016) Approach for the solution of transmission congestion with multi-type FACTS devices. IET Gener Transm Distrib 10(11):2802–2809
Abaci K, Yamacli V (2016) Differential search algorithm for solving multi objective optimal power flow problem. Int J Electr Power Energy Syst 79(7):1–10
Ettappan M et al (2020) Optimal reactive power dispatch for real power loss minimization and voltage stability enhancement using artificial bee colony algorithm. Microproc Microsyst 76(5):103085
Jordehi AR (2015) Brainstorm optimization algorithm (BSOA): an efficient algorithm for finding optimal location and setting of FACTS devices in electric power systems. Int J Electr Power Energy Syst 69(7):48–57
Mouassa S, Bouktir T, Salhi A (2017) Ant lion optimizer for solving optimal reactive power dispatch problem in power systems. Eng Sci Technol Int J 20(3):885–895
Raj S, Bhattacharyya B (2018) Optimal placement of TCSC and SVC for reactive power planning using whale optimization algorithm. Swarm Evol Comput 40(3):131–143
Sulaiman M et al (2015) Using the gray wolf optimizer for solving optimal reactive power dispatch problem. Appl Soft Comput 32(7):286–292
Raj S, Bhattacharyya B (2018) Reactive power planning by opposition-based grey wolf optimization method. Int Trans Electric Energy Sys 28(6):e2551
Attia A, Sehiemy RA, Hasanien H (2018) Optimal power flow solution in power systems using a novel sinE−cosine algorithm. Int J Electr Power Energy Syst 99(7):331–343
Kar M K, Kumar L, Kumar S, & Singh AK (2020) "Efficient Operation of power system with FACTS controllers using evolutionary techniques." 2020 7th international conference on signal processing and integrated networks (SPIN), 2020, pp. 962–965, https://doi.org/10.1109/SPIN48934.2020.9070909.
Kumar L, Kar MK, & Kumar S (2021) "Reactive power management by optimal positioning of FACTS controllers using MFO algorithm." 2021 Emerg Trends Indus 4.0 (ETI 4.0) https://doi.org/10.1109/ETI4.051663.2021.9619433.
Mahdad B (2019) Optimal reconfiguration and reactive power planning-based fractal search algorithm: a case study of the Algerian distribution electrical system. Eng Sci Technol Int J 22(1):78–101
Dash SP, Subhashini K, Satapathy JK (2020) Efficient utilization of power system network through optimal location of FACTS devices using a proposed hybrid meta-heuristic Ant Lion-Moth FlamE−Salp Swarm optimization algorithm. Int Trans Electric Energy Sys 30(4):12402
Karmakar N, Bhattacharyya B (2020) Optimal reactive power planning in power transmission system considering FACTS devices and implementing hybrid optimisation approach. IET Gener Transm Distrib 14(25):6294–6305
Taher MA, Kamel S, Jurado F, Ebeed M (2020) Optimal power flow solution incorporating a simplified UPFC model using lightning attachment procedure optimization. Int Trans Electric Energ Sys 30(1):e12170
Khan NH, Wang Y, Tian D, Jamal R, Iqbal S, Saif MAA, Ebeed M (2021) A novel modified lightning attachment procedure optimization technique for optimal allocation of the FACTS devices in power systems. IEEE Access 9:47976–47997
Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous space. J Global Optim 11(4):341–359
Abou El Elaa AA, Abido MA, Spea SR (2011) Differential evolution algorithm for optimal reactive power dispatch. Electric Power Sys Res 81(2):458–464
Kar MK, Kumar S, Singh AK & Panigrahi S “Reactive power management by using a modified differential evolution algorithm” Optimal Control Appl Method (2021): 1–20.
Kumari S, Kar MK, Kumar L, Kumar S (2022) Optimal siting of FACTS controller using moth flame optimization technique. Control Applications in Modern Power Systems. Lecture Notes in Electrical Engineering, vol 870. Springer, Singapore. https://doi.org/10.1007/978-981-19-0193-5_7
Gupta SK, Kumar L, Kar MK, Kumar S (2022) Optimal reactive power dispatch under coordinated active and reactive load variations using FACTS devices. Int J Syst Assur Eng Manag. https://doi.org/10.1007/s13198-022-01736-9
Gao D, Wang GG, Pedrycz W (2020) Solving fuzzy job-shop scheduling problem using DE algorithm improved by a selection mechanism. IEEE Trans Fuzzy Syst 28(12):3265–3275
Sakr WS, EL-Sehiemy RA, and Azmy AM, (2017) Adaptive differential evolution algorithm for efficient reactive power management. Appl Soft Comput 53(4):336–351
Pulluri H, Naresh R, Sharma V (2017) An enhanced self-adaptive differential evolution-based solution methodology for multiobjective optimal power flow. Appl Soft Comput 54(5):229–245
Reddy SS (2019) Optimal power flow using hybrid differential evolution and harmony search algorithm. Int J Mach Learn Cybern 10(5):1077–1091
Effatnejad R, Aliyari H, Savaghebi M (2017) Solving multi-objective optimal power flow using modified GA and PSO based on hybrid algorithm. J Oper Automation Power Eng 5(1):51–60
Premkumar M, Jangir P, Sowmya R, Elavarasan RM (2021) Many-objective gradient-based optimizer to solve optimal power flow problems: analysis and validations. Eng Appl Artif Intell 106(11):104479
Kar MK, Kumar S, Singh AK, Panigrahi S (2021) A modified sine cosine algorithm with ensemble search agent updating schemes for small signal stability analysis. Int Trans Electr Energy Syst. https://doi.org/10.1002/2050-7038.13058
Habur K (2002) ‘FACTS for cost effective and reliable transmission of electrical energy’. www.worldbank.org/html/fpd/em/transmission/facts_siemens.pdf
Zou D, Wu J, Gao L, Li S (2013) A modified differential evolution algorithm for unconstrained optimization problems. Neurocomputing 120:469–481
Kumar L, Kar MK, Kumar S (2022) Statistical analysis based reactive power optimization using improved differential evolutionary algorithm. Expert Systems. https://doi.org/10.1111/exsy.13091
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Kumar, L., Kar, M.K. & Kumar, S. Reactive Power Management of Transmission Network Using Evolutionary Techniques. J. Electr. Eng. Technol. 18, 123–145 (2023). https://doi.org/10.1007/s42835-022-01185-1
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DOI: https://doi.org/10.1007/s42835-022-01185-1