Abstract
This research introduces a novel hybrid optimizer using two well-known metaheuristic algorithms, SMA and SCA. The suggested methodology was used to answer the problem of optimal dynamic generation scheduling for the thermal generation unit along with thermal unit integrated with renewable sources such as wind, solar, and electric vehicles. The problem is solved using a unique hybrid CSMA-SCA optimizer in three steps: first, the units are prioritized based on the average full load cost, and the unit scheduling solution is used without consideration of the many constraints that have an impact on the solutions. The second step is the establishment of a heuristic constraints repair mechanism, which forces previous solutions to comply with inescapable constraints. The third step is the implementation of an optimal power generation share allocation for all participating units. To model the stochastic behavior of wind speed and solar radiation, the Weibull probability distribution and Beta PDF functions are used. To avoid the algorithm from slipping into local minima and achieve a better balance between exploration and exploitation, a novel chaotic position updating method called Singer map-based position updating is proposed. The suggested method has proven effective in small-, medium-, and large-scale thermal power systems as well as thermal systems that integrate wind power. The extensive studies demonstrate that the CSMA-SCA methodology presented in this research outperforms most current methods in terms of producing high-quality solutions around global minima.
Graphical abstract
Similar content being viewed by others
Data availability
The authors certify that all the data generated or analyzed during this study (and its additional file) are available and may be found at the link given below. https://drive.google.com/file/d/1pMAJBW--BBxRHaZ0C0iq6W06cjjCWHOc/view?usp=sharing.
Code availability
Request for code should be made to corresponding author.
References
S. Maghsudlu, S. Mohammadi, Optimal scheduled unit commitment considering suitable power of electric vehicle and photovoltaic uncertainty. J. Renew. Sustain. Energy (2018). https://doi.org/10.1063/1.5009247
G.B. Sheble, G.N. Fahd, Unit commitment literature synopsis. IEEE Trans. Power Syst. 9(1), 128–135 (1994). https://doi.org/10.1109/59.317549
R. Quan, J. Jian, L. Yang, An improved priority list and neighborhood search method for unit commitment. Int. J. Electr. Power Energy Syst. 67, 278–285 (2015). https://doi.org/10.1016/J.IJEPES.2014.11.025
W.L. Snyder, H.D. Powell, J.C. Rayburn, Dynamic programming approach to unit commitment. IEEE Trans. Power Syst. 2, 339–347 (1987)
M.L. Fisher, The Lagrangian relaxation method for solving integer programming problems. Manage. Sci. 50(12), 1861–1871 (2004). https://doi.org/10.1287/mnsc.1040.0263
A. Borghetti et al., Lagrangian relaxation and Tabu search approaches for the unit commitment problem, in: IEEE Porto Power Tech Conf., 2001.
A.I. Cohen, M. Yoshimura, A branch-and-bound algorithm for unit commitment. IEEE Trans. Power Appar. Syst. 2, 444–451 (1983)
F. Glover, Tabu search: part I. Orsa J. Comput. 1(3), 190–206 (1989)
A.H. Mantawy, Y.L. Abdel-Magid, S.Z. Selim, Unit commitment by tabu search. IEE Proc. Gener. Transm. Distrib. 145(1), 56 (1998). https://doi.org/10.1049/ip-gtd:19981681
C.L. Tseng et al., Solving the unit commitment problem by a unit decommitment method 1, 2. J. Optim. Theory Appl. 105(3), 707–730 (2000)
S. Patra, S.K. Goswami, B. Goswami, Fuzzy and simulated annealing based dynamic programming for the unit commitment problem. Expert Syst. Appl. 36(3), 5081–5086 (2009). https://doi.org/10.1016/j.eswa.2008.06.039
S. Arif, R.D. Mohammedi, A. Hellal, A. Choucha, A memory simulated annealing method to the unit commitment problem with ramp constraints. Arab. J. Sci. Eng. 37(4), 1021–1031 (2012). https://doi.org/10.1007/s13369-012-0217-2
C. Verma, V. Stoffová, Z. Illés, Prediction of residence country of student towards information, communication and mobile technology for real-time: preliminary results. Procedia Comput. Sci. 167(2019), 224–234 (2020). https://doi.org/10.1016/j.procs.2020.03.213
(SDGFI) Student’s Demographic and Geographic Feature Identification Using Machine Learning Techniques for Real-Time Automated Web Applications_Enhanced Reader.pdf.
T. Senjyu, H. Yamashiro, K. Shimabukuro, K. Uezato, Unit Commitment Problem using Genetic Algorithm, pp. 1611–1616, 2002.
T. Sumim, W. Ongsakul, Ant colony search algorithm for unit commitment, in: IEEE Int. Conf. Ind. Technol. 2003, vol. 1, no. i, pp. 72–77, 2003. https://doi.org/10.1109/ICIT.2003.1290244.
C. Verma, V. Stoffova, Z. Illes, S. Tanwar, N. Kumar, Machine learning-based student’s native place identification for real-time. IEEE Access 8, 130840–130854 (2020). https://doi.org/10.1109/ACCESS.2020.3008830
C. Verma, Z. Illés, V. Stoffová, P.K. Singh, Predicting attitude of indian student’s towards ICT and mobile technology for real-time: preliminary results. IEEE Access 8, 178022–178033 (2020). https://doi.org/10.1109/ACCESS.2020.3026934
C. Verma, V. Stoffová, Z. Illés, Prediction of students’ awareness level towards ICT and mobile technology in Indian and Hungarian University for the real-time: preliminary results. Heliyon (2019). https://doi.org/10.1016/j.heliyon.2019.e01806
C.C.A. Rajan, M.R. Mohan, An evolutionary programming-based tabu search method for solving the unit commitment problem. IEEE Tranc. Power Syst. 19(1), 577–585 (2004)
Z.W. Geem, J.H. Kim, G.V. Loganathan, A new heuristic optimization algorithm: harmony search. SIMULATION 76(2), 60–68 (2001). https://doi.org/10.1177/003754970107600201
B. Ji, X. Yuan, X. Li, Y. Huang, W. Li, Application of quantum-inspired binary gravitational search algorithm for thermal unit commitment with wind power integration. Energy Convers. Manag. 87, 589–598 (2014). https://doi.org/10.1016/j.enconman.2014.07.060
X.S. Yang, Firefly algorithm, stochastic test functions and design optimization. Int. J. Bio-Inspired Comput. 2(2), 78–84 (2010). https://doi.org/10.1504/IJBIC.2010.032124
D. Datta, S. Dutta, A binary-real-coded differential evolution for unit commitment problem. Int. J. Electr. Power Energy Syst. 42(1), 517–524 (2012). https://doi.org/10.1016/j.ijepes.2012.04.048
P.K. Roy, C. Paul, S. Sultana, Oppositional teaching learning based optimization approach for combined heat and power dispatch. Int. J. Electr. Power Energy Syst. 57, 392–403 (2014). https://doi.org/10.1016/j.ijepes.2013.12.006
A.H. Gandomi, Interior search algorithm (ISA): a novel approach for global optimization. ISA Trans. 53(4), 1168–1183 (2014). https://doi.org/10.1016/j.isatra.2014.03.018
D.H. Wolpert, W.G. Macready, No free lunch theorems for optimization. IEEE Trans. Evol. Comput. 1(1), 67–82 (1997). https://doi.org/10.1109/4235.585893
S. Li, H. Chen, M. Wang, A.A. Heidari, S. Mirjalili, Slime mould algorithm: a new method for stochastic optimization. Futur. Gener. Comput. Syst. 111, 300–323 (2020). https://doi.org/10.1016/j.future.2020.03.055
S. Mirjalili, SCA: A Sine Cosine Algorithm for solving optimization problems. Knowledge Based Syst. 96, 120–133 (2016). https://doi.org/10.1016/j.knosys.2015.12.022
A A. Bhadoria, S. Marwaha, Optimal generation scheduling of electrical power system by using hybrid metaheuristic search technique, in: IEEE 2nd Int. Conf. Electr. Power Energy Syst. ICEPES 2021, no. 2, pp. 1–5, 2021. https://doi.org/10.1109/icepes52894.2021.9699749.
A. Bhadoria, S. Marwaha, Optimal generation scheduling of electrical power system by using hybrid metaheuristic search technique, in: IEEE 2nd Int. Conf. Electr. Power Energy Syst. ICEPES 2021, no. 2, pp. 1–5, 2021.https://doi.org/10.1109/ICEPES52894.2021.9699749
P. Kayal, C.K. Chanda, Optimal mix of solar and wind distributed generations considering performance improvement of electrical distribution network. Renew. Energy 75, 173–186 (2015). https://doi.org/10.1016/j.renene.2014.10.003
X. Yuan, B. Ji, S. Zhang, H. Tian, Y. Hou, A new approach for unit commitment problem via binary gravitational search algorithm. Appl. Soft Comput. J. 22, 249–260 (2014). https://doi.org/10.1016/j.asoc.2014.05.029
A. Bhadoria, S. Marwaha, Moth flame optimizer-based solution approach for unit commitment and generation scheduling problem of electric power system. J. Comput. Des. Eng. 7(5), 668–683 (2020). https://doi.org/10.1093/jcde/qwaa050
Acknowledgments
No funding was available for this study. The authors state that they have no financial or non-financial interest in the topic or materials covered in this paper.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors certify that they have no financial or non-financial interests in the subject matter.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Appendices
Appendix 1: Wind and solar power used in the article
Hour | Power (MW) | Hour | Power (MW) | ||
---|---|---|---|---|---|
Wind | Solar | Wind | Solar | ||
1 | 148.4884 | 0 | 13 | 95.3485 | 104.9347 |
2 | 127.8895 | 0 | 14 | 77.6872 | 88.1518 |
3 | 120.6391 | 0 | 15 | 74.289 | 67.6923 |
4 | 114.2285 | 0 | 16 | 88.8189 | 42.9431 |
5 | 101.3937 | 0 | 17 | 109.2915 | 20.5279 |
6 | 101.6549 | 24.9491 | 18 | 41.9367 | 0 |
7 | 116.2773 | 48.8601 | 19 | 32.0173 | 0 |
8 | 117.4627 | 72.6721 | 20 | 8.531 | 0 |
9 | 126.8331 | 92.3087 | 21 | 12.8063 | 0 |
10 | 139.3862 | 106.0076 | 22 | 16.5485 | 0 |
11 | 160.8379 | 114.5426 | 23 | 22.0043 | 0 |
12 | 166.5372 | 111.5308 | 24 | 32.7779 | 0 |
Appendix 2: Wind power probability profile with respect to number of states
Appendix 3: Specification of wind turbines
Attribute | Value |
---|---|
Rated output power,\(P_{{{\text{rated}}}}\) | 250 MW |
Cut-in speed,\(v_{{{\text{cin}}}}\) | 3 m/s |
Nominal wind speed,\(v_{N}\) | 12 m/s |
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Bhadoria, A., Marwaha, S. A chaotic hybrid optimization technique for solution of dynamic generation scheduling problem considering effect of renewable energy sources. MRS Energy & Sustainability 10, 52–93 (2023). https://doi.org/10.1557/s43581-022-00050-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/s43581-022-00050-y