×

Applications of differential evolution in electric power systems. (English) Zbl 1512.90054

Vinoth Kumar, B. (ed.) et al., Differential evolution: from theory to practice. Singapore: Springer. Stud. Comput. Intell. 1009, 265-296 (2022).
Summary: The state-of-the-art power systems have extremely intricate, outsized and broad range distribution. The most favorable process of power system has become essential, in the face of escalating cost of power generation, limited sources of power generation and growing demand for electricity. It is essential to trim down the cost of fuel, active transmission power loss, deviation in voltage stability index of voltage and cost of reactive power sources, to gain appreciable value of savings. In addition, generator scheduling and load curtailment have participated in a critical position to reduce the sternness of the electric networks against the violation of system constraints. Hence, competent optimization algorithms are needed to make sure the optimal operation. Evolutionary-based optimization techniques have proved to be superior to traditional and artificial intelligence-based approaches, which are rooted in deprived convergence and complexity of computation, to handle numerous constraints in multi-objective functions. Differential evolution (DE) is the most familiar member in the group of evolutionary algorithms, owing to its simple construction, fast operation, least number of parameters, easier to implement and significantly robust. Numerous engineering optimization problems have been studied and proved by DE, as a leading contender to solve in hypothetical and real situations. The applications of DE and its versions or variants related to power system problems like reactive power planning, congestion management, available transfer capability, load dispatch in economical way, commitment of generating units, optimization of power flow and optimal reactive dispatch of electric power were discussed in this chapter.
For the entire collection see [Zbl 1480.90003].

MSC:

90B10 Deterministic network models in operations research
90C59 Approximation methods and heuristics in mathematical programming
Full Text: DOI

References:

[1] Abdi, H.: Profit-based unit commitment problem: a review of models, methods, challenges, and future directions. Renew. Sustain. Energ. Rev. 138 (2021) doi:10.1016/j.rser.2020.110504
[2] Abido, MA; Al-Ali, NA, Multi-objective optimal power flow using differential evolution, Arab. J. Sci. Eng., 37, 991-1005 (2012) · Zbl 1296.90138
[3] Amjady, N.; Sharifzadeh, H., Solution of non-convex economic dispatch problem considering valve loading effect by a new modified differential evolution algorithm, Electr. Power Energ. Syst., 32, 8, 893-903 (2010)
[4] Arya, LD; Singh, P.; Titare, LS, Anticipatory reactive power reserve maximization using differential evolution, Electr. Power Energ. Syst., 35, 66-73 (2012)
[5] Azad, MAK; Fernandes, MGP, A modified differential evolution based solution technique for economic dispatch problems, J. Ind. Manag. Optim., 8, 4, 1017-1038 (2012) · Zbl 1364.90312
[6] Balamurugan, R.; Subramanian, S., Differential evolution-based dynamic economic dispatch of generating units with valve-point effects, Electr. Power Compon. Syst., 36, 8, 828-843 (2008)
[7] Basu, M., Multi-objective optimal reactive power dispatch using multi-objective differential evolution, Elect. Power Energ. Syst., 82, 213-224 (2016)
[8] Basu, M., Quasi-oppositional differential evolution for optimal reactive power dispatch, Elect. Power and Energ. Syst., 78, 29-40 (2016)
[9] Bhattacharyya, B.; Goswami, K.; Bansal, C., Loss sensitivity approach in evolutionary algorithms for reactive power planning, Electr. Power Compon. Syst., 37, 287-299 (2009)
[10] Bhattacharyya, B.; Raj, S., Differential evolution technique for the optimization of reactive power reserves, J. Circ. Syst. Comput., 26, 10, 1-20 (2017)
[11] Biswas, A., Dasgupta,S., Bijaya, K., Panigrahi, V., Ravikumar, P., Das, S., Abraham, A., Badr, Y.: Economic load dispatch using a chemotactic differential evolution algorithm. Hybrid Artif. Intell. Syst. Lect. Notes Comput. Sci. 5572, 252-260 (2009)
[12] Biswas, PP; Suganthan, PN; Mallipeddi, G.; Amaratunga, GAJ, Optimal power flow solutions using differential evolution algorithm integrated with effective constraint handling techniques, Eng. Appl. Artif. Intell., 68, 81-100 (2018)
[13] Chandrasekar, K.; Ramana, NV, Performance comparison of GA, DE, PSO and SA approaches in enhancement of total transfer capability using FACTS devices, J. Electr. Eng. Tech., 7, 4, 493-500 (2012)
[14] Chang, CS, An improved differential evolution scheme for the solution of large-scale unit commitment problems, Informatica, 21, 2, 178-190 (2010) · Zbl 1208.90142
[15] Chi, R.; Li, Z.; Chi, X.; Qu, Z.; Tu, H., Reactive power optimization of power system based on improved differential evolution algorithm, Math. Prob. Eng., 2021, 1-19 (2020) · doi:10.1155/2021/6690924
[16] Chiou, JP, Variable scaling hybrid differential evolution for large-scale economic dispatch problems, Electr. Power Syst. Res., 77, 3-4, 212-218 (2007)
[17] Datta, D.; Dutta, S., A binary-real-coded differential evolution for unit commitment problem, Int. J. Electr. Power Energ. Syst., 42, 1, 517-524 (2012)
[18] Dhaliwal, JS; Dhillon, JS, Modified binary differential evolution algorithm to solve unit commitment problem, Electr. Power Compon. Syst., 46, 8, 900-918 (2018)
[19] Dhaliwal, JS; Dhillon, JS, Profit based unit commitment using memetic binary differential evolution algorithm, Appl. Soft Comp., 81, 1-20 (2019)
[20] Ela, AA; Abido, MA; Spea, SR, Differential evolution algorithm for optimal reactive power dispatch, Elect. Power Syst. Res., 81, 458-464 (2011)
[21] Ela, AA; Abido, MA; Spea, SR, Optimal power flow using differential evolution algorithm, Electr. Power Syst. Res., 80, 878-885 (2010)
[22] Frank, S.; Rebennack, S., An introduction to optimal power flow: theory, formulation, and examples, IIE Trans., 48, 12, 1172-1197 (2016)
[23] Ghasemi, M.; Taghizadeh, M.; Ghavidel, S.; Abbasian, A., Colonial competitive differential evolution: an experimental study for optimal economic load dispatch, Appl. Soft Comput., 40, 1, 342-363 (2016)
[24] He, D.; Dong, G.; Wang, F.; Mao, Z., Optimization of dynamic economic dispatch with valve-point effect using chaotic sequence based differential evolution algorithms, Energ. Convers. Manag., 52, 2, 1026-1032 (2011)
[25] He, D.; Wang, F.; Mao, Z., A hybrid genetic algorithm approach based on differential evolution for economic dispatch with valve-point effect, Electr. Power Energ. Syst., 30, 1, 31-38 (2008)
[26] Hemavathi, S.; Devarajan, N., Efficient dynamic economic load dispatch using parallel process of enhanced optimization approach, Circ. Syst., 7, 3260-3270 (2016)
[27] Jebaraj, L., Venkatesan,C., Soubache, I., Christober Asir Rajan, C.: Application of differential evolution algorithm in static and dynamic economic or emission dispatch problem: a review. Renew. Sustain. Energ. Rev. 77, 1206-1220 (2017)
[28] Jiang, X.; Zhou, J.; Wang, H.; Zhang, Y., Dynamic environmental economic dispatch using multi objective differential evolution algorithm with expanded double selection and adaptive random restart, Electr. Power Energ. Syst., 49, 1, 399-407 (2013)
[29] Kamboj, VK; Bath, SK; Dhillon, JS, A novel hybrid DE_random search approach for unit commitment problem, Neural Comput. Appl., 28, 7, 1559-1581 (2017)
[30] Kamboj, VK; Bath, SK; Dhillon, JS, Multiobjective multi-area unit commitment using hybrid differential evolution algorithm considering import/export and tie-line constraints, Neural Comput. Appl., 28, 11, 3521-3536 (2017)
[31] Li, S., Gong, W., Wang, L., Yan, X., Hu, C.: Optimal power flow by means of improved adaptive differential evolution. Energy 198 (2020) doi:10.1016/j.energy.2020.117314
[32] Lu, Y.; Zhou, J.; Qin, H.; Li, Y.; Zhang, Y., An adaptive hybrid differential evolution algorithm for dynamic economic dispatch with valve-point effects, Exp. Syst. Appl., 37, 7, 4842-4849 (2010)
[33] Mahdad, B.; Srairi, K., A study on multi-objective optimal power flow under contingency using differential evolution, J. Electr. Eng. Technol., 8, 1, 53-63 (2013)
[34] Mohammed O.O., Mustafa, M.W., Mohammed, D.S.S., Otuoze, A.O.: Available transfer capability calculation methods: a comprehensive review. Int. Trans. Electr. Energ. Syst. 29(6) (2019). doi:10.1002/2050-7038.2846
[35] Muralikrishnan, M., Jebaraj, L., Christober asir rajan, C.: A comprehensive review on evolutionary optimization techniques applied for unit commitment problem. IEEE Access 8, 132980-133014 (2020)
[36] Nawaz, A.; Wang, H.; Wu, Q.; Ochani, MK, TSO and DSO with large-scale distributed energy resources: a security constrained unit commitment coordinated solution, Int. Trans. Electr. Energ. Syst., 30, 3, 1-26 (2020)
[37] Niu, Q.; Li, K.; Irwin, GW, Differential evolution combined with clonal selection for dynamic economic dispatch, J. Exp. Theor. Artif. Intell., 27, 3, 325-350 (2015)
[38] Noman, N.; Iba, H., Differential evolution for economic load dispatch problems, Electr. Power Syst. Res., 78, 8, 1322-1331 (2008)
[39] Noman, N.; Iba, H., ε-constrained differential evolution for economic dispatch with valve-point effect, Int. J. Bio-Inspired Comput., 3, 6, 346-357 (2011)
[40] Padaiyatchi, S.S.: Hybrid DE/FFA algorithm applied for different optimal reactive power dispatch Problems. Aust. J. Electr. Electron. Eng. doi:10.1080/1448837X.2020.1817233
[41] Pandi, VR; Biswas, A.; Dasgupta, S.; Panigrahi, BK, A hybrid bacterial foraging and differential evolution algorithm for congestion management, Euro. Trans. Electr. Power, 20, 862-871 (2010)
[42] Panigrahi, CK; Chakrabarti, R.; Chattopadhyay, PK, Economic environmental dispatch by a MODE technique, J. Circuits Syst. Comput., 17, 3, 499-512 (2008)
[43] Patra, S.; Goswami, SK; Goswami, B., Differential evolution algorithm for solving unit commitment with ramp constraints’, Electr. Power Compon. Syst., 36, 8, 771-781 (2008)
[44] Pillay, A.; Karthikeyan, SP; Kothari, DP, Congestion management in power systems—a review, Electr. Power Energ. Syst., 70, 83-90 (2015)
[45] Prasad, D.; Banerjee, A.; Singh, RP, Optimal reactive power dispatch using modified differential evolution algorithm, Adv. Comput. Commun. Control Lecture Notes Netw. Syst., 41, 275-283 (2019) · doi:10.1007/978-981-13-3122-0_26
[46] Rahmat, NA; Musirin, I., Differential evolution immunized ant colony optimization technique in solving economic load dispatch problem, Engineering, 5, 1, 157-162 (2013)
[47] Rajathy, R.; Gnanadass, R.; Manivannan, K., Computation of capacity benefit margin using differential evolution, Int. J. Comput. Sci. Math., 3, 3, 275-287 (2010)
[48] Rajkumar, P.; Devaraj, D., Differential evolution approach for contingency constrained reactive power planning, J. Electr. Syst., 7, 2, 165-178 (2011)
[49] Ramesh, S.; Kannan, S.; Baskar, S., An improved generalized differential evolution algorithm for multi-objective reactive power dispatch, Eng. Optim., 44, 4, 391-405 (2012)
[50] Reddy, SS, Optimal power flow using hybrid differential evolution and harmony search algorithm, Int. J. Mach. Learn. Cybern., 10, 1077-1091 (2019) · doi:10.1007/s13042-018-0786-9
[51] Reddy, SS; Bijwe, PR, Differential evolution-based efficient multi-objective optimal power flow, Neural Comput. Appl., 31, 1, 509-522 (2019) · doi:10.1007/s00521-017-3009-5
[52] Reddy, SS; Vaisakh, K., Shuffled differential evolution for economic dispatch with valve point loading effects, Electr. Power Energ. Syst., 46, 1, 342-352 (2013)
[53] Roselyn, JP; Devaraj, D.; Das, SS, Multi objective differential evolution approach for voltage stability constrained reactive power planning problem, Electr. Power Energ. Syst., 59, 155-165 (2014)
[54] S. Sivasubramani, S., Swarup, K.S.: Multiagent based differential evolution approach to optimal power flow. Appl. Soft Comput. 12, 735-740 (2012)
[55] Saddique, M.S., Bhatti, A.R., Haroon, S.S., Sattar, M.K., Amin, S., Sajjad, I.A., Sadam ul Haq, S., Awan, A.B., Rasheed, N.: Solution to optimal reactive power dispatch in transmission system using meta-heuristic techniques—status and technological review. Elect. Power Syst. Res. 178 (2020) doi:10.1016/j.epsr.2019.106031
[56] Saravanan, B.; Das, S.; Sikri, S.; Kothari, DP, A solution to the unit commitment problem—a review, Frontiers Energ., 7, 223-236 (2013)
[57] Sayah, S.; Hamouda, A., A hybrid differential evolution algorithm based on particle swarm optimization for non convex economic dispatch problems, Appl. Soft Comput., 13, 4, 1608-1619 (2013)
[58] Selvi, A.I., Velusamy, S., Narmatha Banu, R., Devaraj, D., Karuppasamypandiyan, M.: Differential evolutionary algorithm based optimal support vector machine for online dynamic available transfer capability estimation incorporating transmission capacity margins. Int. Trans. Electr. Energ. Syst. 27(7) (2017) doi:10.1002/etep.2331
[59] Shaheen, AM; El-Sehiemy, RA; Farrag, SM, A novel adequate bi-level reactive power planning strategy, Electr. Power Energ. Syst., 78, 897-909 (2016)
[60] Shaheen, AM; El-Sehiemy, RA; Farrag, SM, A reactive power planning procedure considering iterative identification of VAR candidate buses, Neural Comput. Appl., 31, 653-674 (2019)
[61] Sharma, M.; Pandit, M.; Srivastava, L., Reserve constrained multi-area economic dispatch employing differential evolution with time-varying mutation, Electr. Power Energ. Syst., 33, 3, 753-766 (2011)
[62] Singh, A., Khamparia, A.: A hybrid whale optimization-differential evolution and genetic algorithm based approach to solve unit commitment scheduling problem: WODEGA. Sustain. Comput. Inform. Systems 28 (2020). doi:10.1016/j.suscom.2020.100442
[63] Storn, R.; Price, K., Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces, J. Global Optim., 11, 341-359 (1997) · Zbl 0888.90135
[64] Suganthi, S.; Devaraj, D.; Ramar, K.; Thilagar, H., An improved differential evolution algorithm for congestion management in the presence of wind turbine generators, Renew. Sustain. Energ. Rev., 81, 635-642 (2018)
[65] Suganthi, S., Ramar, K., Thilagar, H., Devaraj, D.: A novel approach for congestion management using improved differential evolution algorithm. Int. Trans. Electr. Energ. Syst. 28(10) (2018). doi:10.1002/etep.2614
[66] Surekha, P.; Sumathi, S., Solving economic load dispatch problems using differential evolution with opposition based learning, WSEAS Trans. Inf. Sci. Appl., 9, 1, 1-13 (2012)
[67] Surekha, P.; Archana, N.; Sumathi, S., Unit commitment and economic load dispatch using self adaptive differential evolution, WSEAS Trans. Power Syst., 7, 1, 159-171 (2012)
[68] Suresh, V.; Senthil Kumar, S., Optimal reactive power dispatch for minimization of real power loss using SBDE and DE-strategy algorithm, J. Ambient Intell. Humaniz. Comput. (2020) · doi:10.1007/s12652-020-02673-w
[69] Trivedi, A.; Srinivasan, D.; Biswas, S.; Reindl, T., Hybridizing genetic algorithm with differential evolution for solving the unit commitment scheduling problem, Swarm Evol. Comput., 23, 1, 50-64 (2015)
[70] Trivedi, A.; Srinivasan, D.; Pal, K.; Saha, C.; Reindl, T., Enhanced multi objective evolutionary algorithm based on decomposition for solving the unit commitment problem, IEEE Trans. Ind. Inform., 11, 6, 1346-1357 (2015)
[71] Uyar, ASI; Turkay, N., Evolutionary algorithms for the unit commitment problem, Turkish J. Elect. Eng. Comp. Sci., 3, 239-255 (2008)
[72] Varadarajan, M.; Swarup, KS, Solving multi-objective optimal power flow using differential evolution, IET Gener. Transm. Distrib., 2, 5, 720-730 (2008)
[73] Wang, SK; Chiou, JP; Liu, CW, Non-smooth/non-convex economic dispatch by a novel hybrid differential evolution algorithm, IET Gener. Transm. Distrib., 1, 7, 793-803 (2007)
[74] Wu, LH; Wang, YN; Yuan, XF; Zhou, SW, Environmental/economic power dispatch problem using multi-objective differential evolution algorithm, Electr. Power Syst. Res., 80, 9, 1171-1181 (2010)
[75] Yuan, X.; Su, A.; Nie, H.; Yuan, Y.; Wang, L., Application of enhanced discrete differential evolution approach to unit commitment problem, Energ. Convers. Manag., 50, 9, 2449-2456 (2009)
[76] Yuan, X.; Wang, L.; Yuan, Y.; Zhang, Y.; Yang, BCB, A modified differential evolution approach for dynamic economic dispatch with valve-point effects, Energ. Convers. Manag., 49, 12, 3447-3453 (2008)
[77] Yuan, X.; Wang, L.; Zhang, Y.; Yuan, Y., A hybrid differential evolution method for dynamic economic dispatch with valve-point effects, Exp. Syst. Appl., 36, 2, 4042-4048 (2009)
[78] Zhang, W., Li, F., Tolbert, L.M.: Review of reactive power planning: objectives, constraints, and algorithms. IEEE Trans. Power Syst. 22(4), 2177-2186 (2007)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.