Short-Term Hydro Scheduling Considering Multiple Units Sharing a Common Tunnel and Crossing Vibration Zones Constraints
Publication: Journal of Water Resources Planning and Management
Volume 147, Issue 10
Abstract
For low construction cost, the hydropower plant with multiple units sharing a common tunnel (HPMUST) has been widely used, which plays an essential role in the short-term scheduling of power systems worldwide. Thus, accurately solving short-term scheduling of HPMUST is important. Because water head loss of a tunnel is related to the discharge of multiple units, the existing methods noted in the literature tend to decompose this problem to find a near-optimal solution, instead of solving it integrally. With increasing requirements of short-term scheduling, this solution cannot meet practical operation requirements, and it becomes imperative to obtain high quality solutions by solving the original problem. For this purpose, this paper develops a mixed integer linear programming (MILP) model for short-term scheduling of HPMUST and proposes a gross water head-based iterative methodology to directly solve it. The MILP model takes account of not only head variations, common tunnel water head loss of multiple units, and water consumption during startup and shutdown of units, but also water consumption of crossing the vibration zone. Moreover, the paper proposes a novel generic linear programming formulation to model crossing the vibration zone, which can achieve a remarkable decline in number of times of crossing the vibration zone. The numerical results show that, compared with the average output model (AOM) and the real operation, the developed model and solution method can efficiently reduce water consumption of power generation within an acceptable time and meet practical operation requirements.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research was supported by National Natural Science Foundation of China (Nos. 51979023 and U1765103) and the Fundamental Research Funds for the Central Universities (No. DUT20JC16).
References
Borghetti, A., C. D’Ambrosio, A. Lodi, and S. Martello. 2008. “An MILP approach for short-term hydro scheduling and unit commitment with head-dependent reservoir.” IEEE Trans. Power Syst. 23 (3): 1115–1124. https://doi.org/10.1109/TPWRS.2008.926704.
Bråtveit, K., A. Bruland, and O. Brevik. 2016. “Rock falls in selected Norwegian hydropower tunnels subjected to hydropeaking.” Tunnelling Underground Space Technol. 52 (Feb): 202–207. https://doi.org/10.1016/j.tust.2015.10.003.
Brito, B. H., E. C. Finardi, and F. Y. K. Takigawa. 2020. “Mixed-integer nonseparable piecewise linear models for the hydropower production function in the unit commitment problem.” Electr. Power Syst. Res. 182 (May): 106234. https://doi.org/10.1016/j.epsr.2020.106234.
Chang, G. W., M. Aganagic, J. G. Waight, J. Medina, T. Burton, S. Reeves, and M. Christoforidis. 2001. “Experiences with mixed integer linear programming based approaches on short-term hydro scheduling.” IEEE Trans. Power Syst. 16 (4): 743–749. https://doi.org/10.1109/59.962421.
Cheng, C.-P., C.-W. Liu, and C.-C. Liu. 2000. “Unit commitment by Lagrangian relaxation and genetic algorithms.” IEEE Trans. Power Syst. 15 (2): 707–714. https://doi.org/10.1109/59.867163.
Cheng, C. T., C. G. Su, P. L. Wang, J. J. Shen, J. Y. Lu, and X. Y. Wu. 2018. “An MILP-based model for short-term peak shaving operation of pumped-storage hydropower plants serving multiple power grids.” Energy 163 (Nov): 722–733. https://doi.org/10.1016/j.energy.2018.08.077.
Cheng, C. T., J. Y. Wang, and X. Y. Wu. 2016. “Hydro unit commitment with a head-sensitive reservoir and multiple vibration zones using MILP.” IEEE Trans. Power Syst. 31 (6): 4842–4852. https://doi.org/10.1109/TPWRS.2016.2522469.
Diniz, A. L., and M. E. P. Maceira. 2008. “A four-dimensional model of hydro generation for the short-term hydrothermal dispatch problem considering head and spillage effects.” IEEE Trans. Power Syst. 23 (3): 1298–1308. https://doi.org/10.1109/TPWRS.2008.922253.
Feng, Z.-K., W.-J. Niu, J.-Z. Zhou, and C.-T. Cheng. 2020. “Linking Nelder–Mead simplex direct search method into two-stage progressive optimality algorithm for optimal operation of cascade hydropower reservoirs.” J. Water Resour. Plann. Manage. 146 (5): 04020019. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001194.
Garcia-Gonzalez, J., E. Parrilla, J. Barqun, J. Alonso, A. Sáiz-Chicharro, and A. González. 2003. “Under-relaxed iterative procedure for feasible short-term scheduling of a hydro chain.” In Vol. 2 of Proc., 2003 IEEE Bologna Power Tech Conf. New York: IEEE.
Guo, W., J. Yang, M. Wang, and X. Lai. 2015. “Nonlinear modeling and stability analysis of hydro-turbine governing system with sloping ceiling tailrace tunnel under load disturbance.” Energy Convers. Manage. 106 (Dec): 127–138. https://doi.org/10.1016/j.enconman.2015.09.026.
Gurobi Optimization, LLC. 2021. “Gurobi optimizer reference manual.” Accessed April 1, 2021. http://www.gurobi.com.
Juste, K. A., H. Kita, E. Tanaka, and J. Hasegawa. 1999. “An evolutionary programming solution to the unit commitment problem.” IEEE Trans. Power Syst. 14 (4): 1452–1459. https://doi.org/10.1109/59.801925.
Kang, C., M. Guo, and J. Wang. 2017. “Short-term hydrothermal scheduling using a two-stage linear programming with special ordered sets method.” Water Resour. Manage. 31 (11): 3329–3341. https://doi.org/10.1007/s11269-017-1670-1.
Kong, J., H. I. Skjelbred, and O. B. Fosso. 2020. “An overview on formulations and optimization methods for the unit-based short-term hydro scheduling problem.” Electr. Power Syst. Res. 178 (Jan): 106027. https://doi.org/10.1016/j.epsr.2019.106027.
Li, X., T. Li, J. Wei, G. Wang, and W. W.-G. Yeh. 2014. “Hydro unit commitment via mixed integer linear programming: A case study of the Three Gorges Project, China.” IEEE Trans. Power Syst. 29 (3): 1232–1241. https://doi.org/10.1109/TPWRS.2013.2288933.
Liao, S., H. Zhao, G. Li, and B. Liu. 2019. “Short-term load dispatching method for a diversion hydropower plant with multiple turbines in one tunnel using a two-stage model.” Energies 12 (8): 1476. https://doi.org/10.3390/en12081476.
Mantawy, A. H., Y. L. Abdel-Magid, and S. Z. Selim. 1998. “A simulated annealing algorithm for unit commitment.” IEEE Trans. Power Syst. 13 (1): 197–204. https://doi.org/10.1109/59.651636.
Marchand, A., M. Gendreau, M. Blais, and G. Emiel. 2019. “Efficient Tabu search procedure for short-term planning of large-scale hydropower systems.” J. Water Resour. Plann. Manage. 145 (7): 04019025. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001064.
Neupane, B., K. K. Panthi, and K. Vereide. 2020. “Effect of power plant operation on pore pressure in jointed rock mass of an unlined hydropower tunnel: An experimental study.” Rock Mech. Rock Eng. 53 (7): 3073–3092. https://doi.org/10.1007/s00603-020-02090-7.
Sasaki, H., M. Watanabe, J. Kubokawa, N. Yorino, and R. Yokoyama. 1992. “A solution method of unit commitment by artificial neural networks.” IEEE Trans. Power Syst. 7 (3): 974–981. https://doi.org/10.1109/59.207310.
Senjyu, T., K. Shimabukuro, K. Uezato, and T. Funabashi. 2003. “A fast technique for unit commitment problem by extended priority list.” IEEE Trans. Power Syst. 18 (2): 882–888. https://doi.org/10.1109/TPWRS.2003.811000.
Shiyong, W., S. Manbin, and W. Jian. 2010. “Jinping hydropower project: Main technical issues on engineering geology and rock mechanics.” Bull. Eng. Geol. Environ. 69 (3): 325–332. https://doi.org/10.1007/s10064-010-0272-4.
Skjelbred, H. I., J. Kong, and O. B. Fosso. 2020. “Dynamic incorporation of nonlinearity into MILP formulation for short-term hydro scheduling.” Int. J. Electr. Power Energy Syst. 116 (Mar): 105530. https://doi.org/10.1016/j.ijepes.2019.105530.
Swarup, K. S., and S. Yamashiro. 2002. “Unit commitment solution methodology using genetic algorithm.” IEEE Trans. Power Syst. 17 (1): 87–91. https://doi.org/10.1109/59.982197.
Ting, T.-O., M. V. C. Rao, C. K. Loo, and S. S. Ngu. 2003. “Solving unit commitment problem using hybrid particle swarm optimization.” J. Heuristics 9 (6): 507–520. https://doi.org/10.1023/B:HEUR.0000012449.84567.1a.
Tong, B., Q. Z. Zhai, and X. H. Guan. 2013. “An MILP based formulation for short-term hydro generation scheduling with analysis of the linearization effects on solution feasibility.” IEEE Trans. Power Syst. 28 (4): 3588–3599. https://doi.org/10.1109/TPWRS.2013.2274286.
Vielma, J. P., and G. L. Nemhauser. 2011. “Modeling disjunctive constraints with a logarithmic number of binary variables and constraints.” Math. Program. 128 (1–2): 49–72. https://doi.org/10.1007/s10107-009-0295-4.
Villegas Pico, H., J. D. McCalley, A. Angel, R. Leon, and N. J. Castrillon. 2012. “Analysis of very low frequency oscillations in hydro-dominant power systems using multi-unit modeling.” IEEE Trans. Power Syst. 27 (4): 1906–1915. https://doi.org/10.1109/TPWRS.2012.2187805.
Zeng, W., J. Yang, R. Tang, and W. Yang. 2016. “Extreme water-hammer pressure during one-after-another load shedding in pumped-storage stations.” Renewable Energy 99 (Dec): 35–44. https://doi.org/10.1016/j.renene.2016.06.030.
Zhang, C., and W. Yan. 2020. “Optimal offering strategy of a price-maker hydro producer considering the effects of crossing the forbidden zones.” IEEE Access 8: 10098–10109. https://doi.org/10.1109/ACCESS.2020.2965203.
Zhao, T., J. Zhao, and D. Yang. 2014. “Improved dynamic programming for hydropower reservoir operation.” J. Water Resour. Plann. Manage. 140 (3): 365–374. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000343.
Zhu, Y., J. Ke, J. Wang, H. Liu, S. Jiang, H. Blum, Y. Zhao, G. He, Y. Meng, and J. Su. 2020. “Water transfer and losses embodied in the West-East electricity transmission project in China.” Appl. Energy 275 (Oct): 115152. https://doi.org/10.1016/j.apenergy.2020.115152.
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Journal of Water Resources Planning and Management
Volume 147 • Issue 10 • October 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Oct 30, 2020
Accepted: Apr 11, 2021
Published online: Jul 22, 2021
Published in print: Oct 1, 2021
Discussion open until: Dec 22, 2021
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