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...
| Main Authors: | , , , |
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| Format: | Article |
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MDPI AG
2021-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2686 |
| _version_ | 1797512098099494912 |
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| author | Xiali Pang Haiyan Zheng Liying Huang Yumei Liang |
| author_facet | Xiali Pang Haiyan Zheng Liying Huang Yumei Liang |
| author_sort | Xiali Pang |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:57:06Z |
| format | Article |
| id | doaj.art-b08d1f6dc1504f988623c70aa0adc46a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:57:06Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b08d1f6dc1504f988623c70aa0adc46a2023-11-22T21:17:22ZengMDPI AGMathematics2227-73902021-10-01921268610.3390/math9212686Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant EmissionXiali Pang0Haiyan Zheng1Liying Huang2Yumei Liang3College of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaSchool of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, ChinaThis 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.https://www.mdpi.com/2227-7390/9/21/2686unit commitmentwind curtailmentpollutant emissionmixed-integer programmingouter approximation method |
| spellingShingle | Xiali Pang Haiyan Zheng Liying Huang Yumei Liang Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission Mathematics unit commitment wind curtailment pollutant emission mixed-integer programming outer approximation method |
| title | 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_short | 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 |
| topic | unit commitment wind curtailment pollutant emission mixed-integer programming outer approximation method |
| url | https://www.mdpi.com/2227-7390/9/21/2686 |
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