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Open AccessArticle

Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming

1
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Josip Juraj Strossmayer University of Osijek, 31000 Osijek, Croatia
2
HEP Proizvodnja d.o.o., 10000 Zagreb, Croatia
*
Author to whom correspondence should be addressed.
Energies 2019, 12(9), 1604; https://doi.org/10.3390/en12091604
Received: 22 March 2019 / Revised: 20 April 2019 / Accepted: 24 April 2019 / Published: 27 April 2019
(This article belongs to the Section Electrical Power and Energy System)
Stochastic production from wind power plants imposes additional uncertainty in power system operation. It can cause problems in load and generation balancing in the power system and can also cause congestion in the transmission network. This paper deals with the problems of congestion in the transmission network, which are caused by the production of wind power plants. An optimization model for corrective congestion management is developed. Congestions are relieved by re-dispatching several cascaded hydropower plants. Optimization methodology covers the optimization period of one day divided into the 24 segments for each hour. The developed optimization methodology consists of two optimization stages. The objective of the first optimization stage is to obtain an optimal day-ahead dispatch plan of the hydropower plants that maximizes profit from selling energy to the day-ahead electricity market. If such a dispatch plan, together with the wind power plant production, causes congestion in the transmission network, the second optimization stage is started. The objective of the second optimization stage is the minimization of the re-dispatching of cascaded hydropower plants in order to avoid possible congestion. The concept of chance-constrained programming is used in order to consider uncertain wind power production. The first optimization stage is defined as a mixed-integer linear programming problem and the second optimization stage is defined as a quadratic programming (QP) problem, in combination with chance-constrained programming. The developed optimization model is tested and verified using the model of a real-life power system. View Full-Text
Keywords: hydropower plant; wind power plant; quadratic programming; chance-constrained; congestion; transmission system hydropower plant; wind power plant; quadratic programming; chance-constrained; congestion; transmission system
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MDPI and ACS Style

Fekete, K.; Nikolovski, S.; Klaić, Z.; Androjić, A. Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming. Energies 2019, 12, 1604.

AMA Style

Fekete K, Nikolovski S, Klaić Z, Androjić A. Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming. Energies. 2019; 12(9):1604.

Chicago/Turabian Style

Fekete, Krešimir; Nikolovski, Srete; Klaić, Zvonimir; Androjić, Ana. 2019. "Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming" Energies 12, no. 9: 1604.

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