Generation cost optimisation of hydrothermal system using arithmetic optimisation algorithm considering transmission loss and valve point loading effect

References

• Abualigaha, L., A. Diabat, S. Mirjalili, M. A. Elaziz, and A. H. Gandomi. 2021. “The Arithmetic Optimization Algorithm.” Computer Methods in Applied Mechanics and Engineering 376: 113609. https://doi.org/10.1016/j.cma.2020.113609.
   Web of Science ®Google Scholar
• Akram, S., M. S. Fakhar, S. A. R. Kashif, G. Abbas, N. Ullah, A. Mohammad, and M. E. Farrag. 2022. “Introducing Adaptive Machine Learning Technique for Solving Short-term Hydrothermal Scheduling with Prohibited Discharge Zones.” Sustainability 14: 11673. https://doi.org/10.3390/su141811673.
   Web of Science ®Google Scholar
• Amjady, N., and H. R. Soleymanpour. 2010. “Daily Hydrothermal Generation Scheduling by a New Modified Adaptive Particle Swarm Optimization Technique.” Electric Power System Research 80: 723–732. https://doi.org/10.1016/j.epsr.2009.11.004.
   Web of Science ®Google Scholar
• Basu, M. 2003. “Hopfield Neural Networks for Optimal Scheduling of Fixed Head Hydrothermal Power Systems.” Electric Power System Research 64: 11–15. https://doi.org/10.1016/S0378-7796(02)00118-9.
   Web of Science ®Google Scholar
• Basu, M. 2011. “Artificial Immune System for Fixed Head Hydrothermal Power System.” Energy 36 (1): 606–612. https://doi.org/10.1016/j.energy.2010.09.057.
   Web of Science ®Google Scholar
• Bhattacharjee, K., A. Bhattacharya, and S. H. nee Dey. 2014a. “Real Coded Chemical Reaction Based Optimization for Short-term Hydrothermal Scheduling.” Applied Soft Computing 24: 962–976. https://doi.org/10.1016/j.asoc.2014.08.048.
   Web of Science ®Google Scholar
• Bhattacharjee, K., A. Bhattacharya, and S. H. nee Dey. 2014b. “Oppositional Real Coded Chemical Reaction-based Optimization to Solve Short-term Hydrothermal Scheduling Problems.” International Journal of Electrical Power and Energy Systems 63: 145–157. https://doi.org/10.1016/j.ijepes.2014.05.065.
   Web of Science ®Google Scholar
• Bhattacharjee, K., A. Bhattacharya, K. Shah, and N. Patel. 2021. “Backtracking Search Optimization Applied to Solve Short-term Electrical Real Power Generation of Hydrothermal Plant.” Engineering Optimization 54: 1525–1543. https://doi.org/10.1080/0305215X.2021.1954629.
   Web of Science ®Google Scholar
• Brannud, H., J. A. Bubenko, and D. Sjelvgren. 1986. “Optimal Short Term Operation Planning of a Large Hydrothermal Power System Based on a Nonlinear Network Flow Concept.” IEEE Transactions on Power Systems 1: 75–82. https://doi.org/10.1109/TPWRS.1986.4335019.
   Web of Science ®Google Scholar
• Castano, J. C., A. Garces, and O. B. Fosso. 2021. “Short-Term Hydrothermal Scheduling With Solar and Wind Farms Using Second-Order Cone Optimization with Chance-Box Constraints.” IEEE Access 9: 74095–74109. https://doi.org/10.1109/ACCESS.2021.3080575.
   Web of Science ®Google Scholar
• Chan, P. H., and H. C. Chang. 1996. “Genetic Aided Scheduling of Hydraulically Coupled Plants in Hydrothermal Coordination.” IEEE Transactions on Power Systems 11: 975–981. https://doi.org/10.1109/59.496183.
   Web of Science ®Google Scholar
• Das, S., A. Bhattacharya, and A. K. Chakraborty. 2016. “Quasi Reflected Ion Motion Optimization Algorithm for Short-term Hydro Thermal Scheduling.” Neural Computing & Applications 29: 123–149. https://doi.org/10.1007/s00521-016-2529-8.
   Web of Science ®Google Scholar
• Das, S., A. Bhattacharya, and A. K. Chakraborty. 2017. “Solution of Short-term Hydrothermal Scheduling Using Sine Cosine Algorithm.” Soft Computing 22: 6409–6427. https://doi.org/10.1007/s00500-017-2695-3.
   Web of Science ®Google Scholar
• Dasgupta, K., P. K. Roy, and V. Mukherjee. 2022. “Solution of Short Term Integrated Hydrothermal-Solar-Wind Scheduling Using Sine Cosine Algorithm.” Energy Strategy Reviews 40: 100824. https://doi.org/10.1016/j.esr.2022.100824.
   Web of Science ®Google Scholar
• Derrac, J., S. Garcia, D. Molina, and F. Herrera. 2011. “A Practical Tutorial on the Use of Nonparametric Statistical Tests as a Methodology for Comparing Evolutionary and Swarm Intelligence Algorithms.” Swarm and Evolutionary Computation 1: 3–18. https://doi.org/10.1016/j.swevo.2011.02.002.
   Web of Science ®Google Scholar
• Engles, L., R. E. Larson, J. Peschon, and K. N. Stanton. 1976. “Dynamic Programming Applied to Hydro and Thermal Generation Scheduling.” IEEE Tutorial Course Text, 76CH1107-2-PWR, IEEE, New York.
   Google Scholar
• Fang, N., J. Zhou, R. Zhang, Y. Liu, and Y. Zhang. 2014. “A Hybrid of Real Coded Genetic Algorithm and Artificial Fish Swarm Algorithm for Short-term Optimal Hydrothermal Scheduling.” International Journal of Electrical Power & Energy System 62: 617–629. https://doi.org/10.1016/j.ijepes.2014.05.017.
   Web of Science ®Google Scholar
• Gil, E., J. Bustos, and H. Rudnick. 2003. “Short-term Hydrothermal Generation Scheduling Model Using a Genetic Algorithm.” IEEE Transactions on Power Systems 18: 1256–1264. https://doi.org/10.1109/TPWRS.2003.819877.
   Web of Science ®Google Scholar
• Hota, P. K., A. K. Barisal, and R. Chakrabarti. 2009. “An Improved PSO Technique for Short-Term Optimal Hydrothermal Scheduling.” Electric Power Systems Research 79 (7): 1047–1053. https://doi.org/10.1016/j.epsr.2009.01.001.
   Web of Science ®Google Scholar
• Hota, P. K., R. Chakrabarti, and P. K. Chattopadhyay. 1999. “Short-term Hydrothermal Scheduling Through Evolutionary Programming Technique.” Electric Power Systems Research 52: 189–196. https://doi.org/10.1016/S0378-7796(99)00021-8.
   Web of Science ®Google Scholar
• Iqbal, M. A., M. S. Fakhar, N. U. L. Ain, A. Tahir, I. A. Khan, G. Abbas, and S. A. R. Kashif. 2023. “A New Fast Deterministic Economic Dispatch Method and Statistical Performance Evaluation for the Cascaded Short-term Hydrothermal Scheduling Problem.” Sustainability 15: 1644. https://doi.org/10.3390/su15021644.
   Web of Science ®Google Scholar
• Jena, C., M. Basu, J. M. Guerrero, A. Abusorrah, Y. Al-Turki, B. Khan, A. Justo, and A. Pradhan. 2022. “Scenario-based Fuel Constrained Short-term Hydrothermal Scheduling.” IEEE Access 10: 133733–133748. https://doi.org/10.1109/ACCESS.2022.3230769.
   Web of Science ®Google Scholar
• Kennedy, J., and R. Eberhart. 1995. “Particle Swarm Optimization.” Proceedings of ICNN’95 – International Conference on Neural Networks. 1942–1948.
   Google Scholar
• Mandal, K. K., and N. Chakraborty. 2008. “Differential Evolution Technique-Based Short-Term Economic Generation Scheduling of Hydrothermal Systems.” Electric Power Systems Research 78: 1972–1979. https://doi.org/10.1016/j.epsr.2008.04.006.
   Web of Science ®Google Scholar
• Mandal, K. K., and N. Chakraborty. 2009. “Particle Swarm Optimization Technique Based Short-term Hydro-Thermal Scheduling.” Applied Soft Computing 8: 1392–1399. https://doi.org/10.1016/j.asoc.2007.10.006.
   Web of Science ®Google Scholar
• Mohamed, M., A. R. Youssef, S. Kamel, and M. Ebeed. 2020. “Lightning Attachment Procedure Optimization Algorithm for Nonlinear Non-Convex Short-term Hydrothermal Generation Scheduling.” Soft Computing 24: 16225–16248. https://doi.org/10.1007/s00500-020-04936-2.
   Web of Science ®Google Scholar
• Mohamed, M., A. R. Youssef, S. Kamel, M. Ebeed, and E. E. Elattar. 2021. “Optimal Scheduling of Hydro–Thermal–Wind–Photovoltaic Generation Using Lightning Attachment Procedure Optimizer.” Sustainability 13: 8846. https://doi.org/10.3390/su13168846.
   Web of Science ®Google Scholar
• Narang, N., J. S. Dhillon, and D. P. Kothari. 2014. “Scheduling Short-term Hydrothermal Generation Using Predator Prey Optimization Technique.” Applied Soft Computing 21: 298–308. https://doi.org/10.1016/j.asoc.2014.03.029.
   Web of Science ®Google Scholar
• Nguyen, T. T., N. V. Quynh, M. Q. Duong, and L. V. Dai. 2018. “Modified Differential Evolution Algorithm: A Novel Approach to Optimize the Operation of Hydrothermal Power Systems While Considering the Different Constraints and Valve Point Loading Effects.” Energies 11: 540–530. https://doi.org/10.3390/en11030540.
   Web of Science ®Google Scholar
• Nguyen, T. T., and D. N. VO. 2015. “Modified Cuckoo Search Algorithm for Short-Term Hydrothermal scheduling.” Electric Power Energy Systems 65: 271–281. https://doi.org/10.1016/j.ijepes.2014.10.004.
   Web of Science ®Google Scholar
• Nguyen, T. T., D. N. VO, and A. V. Ruong. 2014. “Cuckoo Search Algorithm for Short-Term Hydrothermal Scheduling.” Applied Energy 132: 276–287. https://doi.org/10.1016/j.apenergy.2014.07.017.
   Web of Science ®Google Scholar
• Nilsson, O., and D. Sjelvgren. 1996. “Mixed-integer Programming Applied to Short-term Planning of a Hydrothermal system.” IEEE Trans Power Systems 11: 281–286. https://doi.org/10.1109/59.486107.
   Web of Science ®Google Scholar
• Orero, S. O., and M. R. Irving. 1998. “A Genetic Algorithm Modelling Framework and Solution Technique for Short Term Optimal Hydrothermal Scheduling.” IEEE Trans PWRS 13: 501–518.
   Web of Science ®Google Scholar
• Pattanaik, J. K., M. Basu, and D. P. Dash. 2020. “Improved Real-Coded Genetic Algorithm for Fixed Head Hydrothermal Power System.” IETE Journal of Research, https://doi.org/10.1080/03772063.2020.1785339.
   Web of Science ®Google Scholar
• Piekutowski, M. R., T. Litwinowicz, and R. J. Frowd. 1993. “Optimal Short Term Scheduling for a Large Scale Cascaded Hydro System.” Power Industry Computer Applications Conference, Phoenix, AZ;292–298.https://doi.org/10.1109/PICA.1993.291004
   Google Scholar
• Rashid, A. H. A., and K. M. Nor. 1991. “An Efficient Method for Optimal Scheduling of Fixed Head Hydro and Thermal Plants.” IEEE Transactions on Power Systems 6: 632–636. https://doi.org/10.1109/59.76706.
   Web of Science ®Google Scholar
• Roy, P. K. 2013. “Teaching Learning Based Optimization for Short-term Hydrothermal Scheduling Problem Considering Valve Point Effect and Prohibited Discharge Constraint.” International Journal of Electrical Power & Energy Systems 53: 10–19. https://doi.org/10.1016/j.ijepes.2013.03.024.
   Web of Science ®Google Scholar
• Roy, P. K., A. Sur, and D. K. Pradhan. 2013. “Optimal Short-term Hydrothermal Scheduling Using Quasi-Oppositional Teaching Learning Based Optimization.” Engineering Applications of Artificial Intelligence 26: 2516–2524. https://doi.org/10.1016/j.engappai.2013.08.002.
   Web of Science ®Google Scholar
• Saha, T. N., and S. A. Khaparde. 1978. “An Application of a Direct Method for the Optimal Scheduling of Hydrothermal Power Systems.” IEEE Transactions on Power Apparatus and Systems 97: 977–983. https://doi.org/10.1109/TPAS.1978.354571.
   Web of Science ®Google Scholar
• Sakthivel, V. P., K. Thirumal, and P. D. Sathya. 2022. “Quasi-oppositional Turbulent Water Flow-based Optimization for Cascaded Short Term Hydrothermal Scheduling with Valve-Point Effects and Multiple Fuels.” Energy 251: 123905. https://doi.org/10.1016/j.energy.2022.123905.
   Web of Science ®Google Scholar
• Sasikala, J., and M. Ramaswamy. 2010. “Optimal Gamma Based Fixed Head Hydrothermal Scheduling Using Genetic Algorithm.” Expert Systems with Applications 37: 3352–3357. https://doi.org/10.1016/j.eswa.2009.10.015.
   Web of Science ®Google Scholar
• Sheskin, D. J. 2006. Handbook of Parametric and Nonparametric Statistical Procedures. 4th ed. Chapman & Hall/CRC.
   Google Scholar
• Sinha, N., R. Chakrabarti, and P. K. Chattopadhaya. 2003. “Fast Evolutionary Programming Techniques for Short-term Hydrothermal Scheduling.” Electric Power Systems Research 66: 97–103. https://doi.org/10.1109/TPWRS.2002.807053.
   Web of Science ®Google Scholar
• Tizhoosh, H. R. 2005. “Opposition-Based Learning: A New Scheme for Machine Intelligence.” Proceedings of the International Conference on Computational Intelligence for Modeling Control and Automation, 695–701. https://doi.org/10.1109/CIMCA.2005.1631345.
   Google Scholar
• Türkay, B., F. Mecitog˘lu, and S. Baran. 2011. “Application of a Fast Evolutionary Algorithm to Short-term Hydrothermal Generation Scheduling.” Energy Sources, Part B: Economics, Planning, and Policy 6: 395–405. https://doi.org/10.1080/15567249.2010.489098.
   Web of Science ®Google Scholar
• Wong, K. P., and Y. W. Wong. 1994a. “Short-term Hydrothermal Scheduling Part I: Simulated Annealing Approach.” IEE Proceedings - Generation, Transmission and Distribution 141: 497–501. https://doi.org/10.1049/ip-gtd:19941350.
   Web of Science ®Google Scholar
• Wong, K. P., and Y. W. Wong. 1994b. “Short-term Hydrothermal Scheduling Part II: Parallel Simulated Annealing Approach.” IEE Proceedings - Generation, Transmission and Distribution 141: 502–506. https://doi.org/10.1049/ip-gtd:19941351.
   Google Scholar
• Wood, A. J., and B. F. Wallenberg. 1984. Power Generation, Operation and Control. New York: Wiley.
   Google Scholar
• Xia, Q., N. Xiang, S. Wang, B. Zhang, and M. Huang. 1988. “Optimal Daily Scheduling of Cascaded Plants Using a New Algorithm of Non-Linear Minimum Cost Network Flow Concept.” IEEE Transactions on Power Systems 3: 929–935. https://doi.org/10.1109/59.14543.
   Web of Science ®Google Scholar
• Yu, B., X. Yuan, and J. Wang. 2007. “Short-term Hydro-Thermal Scheduling Using Particle Swarm Optimization Method.” Energy Conversion and Management 48: 1902–1908. https://doi.org/10.1016/j.enconman.2007.01.034.
   Web of Science ®Google Scholar
• Zeng, X., T. Hammid, N. M. Kumar, U. Subramaniam, and D. J. Almakhles. 2021. “A Grasshopper Optimization Algorithm for Optimal Short-term Hydrothermal Scheduling.” Energy Reports 7: 314–323. https://doi.org/10.1016/j.egyr.2020.12.038.
   Web of Science ®Google Scholar
• Zhang, J., S. Lin, and W. Qiu. 2015. “A Modified Chaotic Differential Evolution Algorithm for Short-term Optimal Hydrothermal Scheduling.” International Journal of Electrical Power & Energy Systems 65: 159–168. https://doi.org/10.1016/j.ijepes.2014.09.041.
   Web of Science ®Google Scholar
• Zheyuan, C., A. T. Hammid, A. N. Kareen, M. Jiang, M. N. Mohammed, and N. M. Kumar. 2021. “A Rigid Cuckoo Search Algorithm for Solving Short-term Hydrothermal Scheduling Problem.” Sustainability 13: 4277. https://doi.org/10.3390/su13084277.
   Web of Science ®Google Scholar
• Zoumas, C. E., A. G. Bakirtzis, J. B. Theocharis, and V. Petridis. 2004. “A Genetic Algorithm Solution Approach to the Hydrothermal Coordination Problem.” IEEE Transactions on Power Systems 19: 1356–1364. https://doi.org/10.1109/TPWRS.2004.825896.
   Web of Science ®Google Scholar