S.Ye Saukh, A.V. Borysenko
Èlektron. model. 2021, 44(1):03-29
https://doi.org/10.15407/emodel.44.01.003
ABSTRACT
Well known Unit Commitment (UC-) models of loading generating units of power systems have a common feature: they are all determined on the basis of linear time, where there are past, current and future periods. UC-models are "tied" to the initial conditions and, therefore, cannot cover long-term forecasting horizon due to the excessive computational complexity of algorithms using to solve large-scale integer programming problems. To eliminate such an insurmountable limitation in the application of UC-models, the UC-model of loading generating blocks on the cyclic forecasting horizon (UCC-model) is proposed. The UCC model reproduces block-loading modes on a cyclical weekly forecast horizon and does not require initial conditions, as it establishes a relationship between the states of generating blocks at the end and beginning of the forecast horizon. The weekly distance of the extreme points of the forecast horizon in the UCC model can significantly reduce the interaction of the conditions of cyclic loading of blocks. The UCC model adequately reflects the loading modes of generating units of NPP, TPP, powerful CHTPP, HPP and energy storage systems, including powerful PSP. The UCC model is a multi-node model and takes into account the limitations on the volume of electricity transmission by interconnection power lines. The UCC model takes into account system-wide requirements for the placement of primary and secondary power reserves on loaded units, including energy storage systems. The UCC model is a tool for analyzing the adequacy of shunting power in the tasks of medium- and long-term forecasting of power systems development in terms of increasing electricity production of wind and solar power plants.
KEYWORDS
power system, model, loading of generating units, cyclic forecasting horizon.
REFERENCES
- Gaur,S., Das, P., Jain, A., Bhakar, R. and Mathur, J. (2019), “Long-term energy system planning considering short-term operational constraints”, Energy Strategy Reviews, Vol. 26, pp. 1562–1568.
https://doi.org/10.1016/j.esr.2019.100383 - Arroyo, J.M. and Conejo, A.J. (2004), “Modeling of Start-Up and Shut-Down Power Trajectories of Thermal Units”, IEEE Transactions on Power Systems, 19, no. 3, pp. 1562–1568.
https://doi.org/10.1109/TPWRS.2004.831654 - Arroyo, J.M. and Conejo, A.J. (2002), “Optimal Response of a Power Generator to Energy, AGC, and Reserve Pool-Based Markets”, IEEE Transactions on Power Systems, 17, no. 2, pp. 404–410.
https://doi.org/10.1109/TPWRS.2002.1007910 - Carrión, M. and Arroyo, J.M. (2006), “A Computationally Efficient Mixed-Integer Linear Formulation for the Thermal Unit Commitment Problem”, IEEE Transactions on Power Systems, 21, no. 3, pp. 1371–1378.
https://doi.org/10.1109/TPWRS.2006.876672 - Soroudi, A. (2017), Power System Optimization Modeling in GAMS,
https://doi.org/10.1007/978-3-319-62350-4 - Bergh, K., Bruninx, K., Delarue, E. and D’haeseleer, W. (2016), LUSYM: a unit commitment model formulated as a mixed-integer linear program, KU Leuven Energy Institute, Belgium.
- Shulzhenko, S.V., Turutikov, O.I. and Tarasenko, P.V. (2019), “Model of mathematical programming with integer variables for determining the optimal regime of loading of hydroelectric pumped storage power plants for balancing daily profile of electric loads of the power system of Ukraine”, Problemy zahalʹnoyi enerhetyky, 59, no. 4, pp. 13–23.
https://doi.org/10.15407/pge2019.04.013 - Stetsyuk, P.I., Zhurbenko, M.G. and Likhovid, O.P. (2012), Matematychni modeli ta prohramne zabezpechennya v zadachakh enerhetyky [Mathematical models and software in energy problems], Instytut kibernetyky im. V.M. Hlushkova, Kyiv, Ukraine.
- Hong, Y.-Y. and Francesco, G. (2021), Uncertainty in Unit Commitment in Power Systems: A Reviewof Models, Methods, and Applications, Energies, available at: https:// mdpi.com/1996-1073/14/20/6658/pdf.
https://doi.org/10.3390/en14206658 - Voorspools, K.R. and D'haeseleer, W. (2003), “Long-term Unit Commitment optimisation for large power systems: Unit decommitment versus advanced priority listing, Applied Energy, Vol. 76, no. 1-3, pp. 157-167.
https://doi.org/10.1016/S0306-2619(03)00057-6 - Hall, L.M.H. and Buckley, A.R. (2016), “A review of energy systems models in the UK: prevalent usage and categorization”, Applied Energy, Vol. 169, pp. 607-628, available at:
https://doi.org/10.1016/j.apenergy.2016.02.044 - Saukh, S.Ye. and Borysenko, A.V. (2020), Matematychne modelyuvannya elektroenerhetyky v rynkovykh umovakh [Mathematical modeling of electric power in market conditions], "Try K", Kyiv, Ukraine.