Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission
This paper considers the fast and effective solving method for the unit commitment (UC) problem with wind curtailment and pollutant emission in power systems. Firstly, a suitable mixed-integer quadratic programming (MIQP) model of the corresponding UC problem is presented by some linearization techn...
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2021
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oai:doaj.org-article:b08d1f6dc1504f988623c70aa0adc46a2021-11-11T18:15:12ZOuter Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission10.3390/math92126862227-7390https://doaj.org/article/b08d1f6dc1504f988623c70aa0adc46a2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2686https://doaj.org/toc/2227-7390This paper considers the fast and effective solving method for the unit commitment (UC) problem with wind curtailment and pollutant emission in power systems. Firstly, a suitable mixed-integer quadratic programming (MIQP) model of the corresponding UC problem is presented by some linearization techniques, which is difficult to solve directly. Then, the MIQP model is solved by the outer approximation method (OAM), which decomposes the MIQP into a mixed-integer linear programming (MILP) master problem and a nonlinear programming (NLP) subproblem for alternate iterative solving. Finally, simulation results for six systems with up to 100 thermal units and one wind unit in 24 periods are presented, which show the practicality of MIQP model and the effectiveness of OAM.Xiali PangHaiyan ZhengLiying HuangYumei LiangMDPI AGarticleunit commitmentwind curtailmentpollutant emissionmixed-integer programmingouter approximation methodMathematicsQA1-939ENMathematics, Vol 9, Iss 2686, p 2686 (2021) |
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DOAJ |
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DOAJ |
language |
EN |
topic |
unit commitment wind curtailment pollutant emission mixed-integer programming outer approximation method Mathematics QA1-939 |
spellingShingle |
unit commitment wind curtailment pollutant emission mixed-integer programming outer approximation method Mathematics QA1-939 Xiali Pang Haiyan Zheng Liying Huang Yumei Liang Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission |
description |
This paper considers the fast and effective solving method for the unit commitment (UC) problem with wind curtailment and pollutant emission in power systems. Firstly, a suitable mixed-integer quadratic programming (MIQP) model of the corresponding UC problem is presented by some linearization techniques, which is difficult to solve directly. Then, the MIQP model is solved by the outer approximation method (OAM), which decomposes the MIQP into a mixed-integer linear programming (MILP) master problem and a nonlinear programming (NLP) subproblem for alternate iterative solving. Finally, simulation results for six systems with up to 100 thermal units and one wind unit in 24 periods are presented, which show the practicality of MIQP model and the effectiveness of OAM. |
format |
article |
author |
Xiali Pang Haiyan Zheng Liying Huang Yumei Liang |
author_facet |
Xiali Pang Haiyan Zheng Liying Huang Yumei Liang |
author_sort |
Xiali Pang |
title |
Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission |
title_short |
Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission |
title_full |
Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission |
title_fullStr |
Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission |
title_full_unstemmed |
Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission |
title_sort |
outer approximation method for the unit commitment problem with wind curtailment and pollutant emission |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/b08d1f6dc1504f988623c70aa0adc46a |
work_keys_str_mv |
AT xialipang outerapproximationmethodfortheunitcommitmentproblemwithwindcurtailmentandpollutantemission AT haiyanzheng outerapproximationmethodfortheunitcommitmentproblemwithwindcurtailmentandpollutantemission AT liyinghuang outerapproximationmethodfortheunitcommitmentproblemwithwindcurtailmentandpollutantemission AT yumeiliang outerapproximationmethodfortheunitcommitmentproblemwithwindcurtailmentandpollutantemission |
_version_ |
1718431905273085952 |