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

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 transmi...

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Main Authors: Krešimir Fekete, Srete Nikolovski, Zvonimir Klaić, Ana Androjić
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/12/9/1604
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author Krešimir Fekete
Srete Nikolovski
Zvonimir Klaić
Ana Androjić
author_facet Krešimir Fekete
Srete Nikolovski
Zvonimir Klaić
Ana Androjić
author_sort Krešimir Fekete
collection DOAJ
description 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.
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spelling doaj.art-ae196a50173d4424a4a2c04f1c99042f2022-12-22T04:09:51ZengMDPI AGEnergies1996-10732019-04-01129160410.3390/en12091604en12091604Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained ProgrammingKrešimir Fekete0Srete Nikolovski1Zvonimir Klaić2Ana Androjić3Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Josip Juraj Strossmayer University of Osijek, 31000 Osijek, CroatiaFaculty of Electrical Engineering, Computer Science and Information Technology Osijek, Josip Juraj Strossmayer University of Osijek, 31000 Osijek, CroatiaFaculty of Electrical Engineering, Computer Science and Information Technology Osijek, Josip Juraj Strossmayer University of Osijek, 31000 Osijek, CroatiaHEP Proizvodnja d.o.o., 10000 Zagreb, CroatiaStochastic 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.https://www.mdpi.com/1996-1073/12/9/1604hydropower plantwind power plantquadratic programmingchance-constrainedcongestiontransmission system
spellingShingle Krešimir Fekete
Srete Nikolovski
Zvonimir Klaić
Ana Androjić
Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming
Energies
hydropower plant
wind power plant
quadratic programming
chance-constrained
congestion
transmission system
title Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming
title_full Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming
title_fullStr Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming
title_full_unstemmed Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming
title_short Optimal Re-Dispatching of Cascaded Hydropower Plants Using Quadratic Programming and Chance-Constrained Programming
title_sort optimal re dispatching of cascaded hydropower plants using quadratic programming and chance constrained programming
topic hydropower plant
wind power plant
quadratic programming
chance-constrained
congestion
transmission system
url https://www.mdpi.com/1996-1073/12/9/1604
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AT zvonimirklaic optimalredispatchingofcascadedhydropowerplantsusingquadraticprogrammingandchanceconstrainedprogramming
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