A benders-decomposition-based transient-stability-constrained unit scheduling model utilizing cutset energy function method
•Proposing an energy-based transient stability constrained unit commitment model.•Considering sensitivity of generation level and inertia on stability margin.•Proposing cutset energy function methodology without loss of network structure.•Developing a state transition MILP formulation for the unit c...
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| Vydáno v: | International journal of electrical power & energy systems Ročník 124; s. 106338 |
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| Jazyk: | angličtina |
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01.01.2021
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| ISSN: | 0142-0615, 1879-3517 |
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| Abstract | •Proposing an energy-based transient stability constrained unit commitment model.•Considering sensitivity of generation level and inertia on stability margin.•Proposing cutset energy function methodology without loss of network structure.•Developing a state transition MILP formulation for the unit commitment model.
Rapid growth of load demand and concurrently system inertia deterioration put power systems at risk of transient instability. Therefore, operation of power systems as bulk complex systems must be secured against transient instability not only in hourly optimal power flow studies, but also in daily unit scheduling. To address this challenge, in this paper, secure and economic operation of power system is ensured through a Transient Stability-Constrained Unit Commitment (TSCUC) model employing Benders Decomposition (BD) technique. The proposed TSCUC model consists of one master problem determining committed units and two distinct sub-problems verifying the steady state impacts of single outages, and transient stability criteria, respectively. This paper proposes a state transition formulation for master problem as a mixed integer linear programming optimization problem preserving both compactness and tightness of the problem. A structure-preserving transient stability assessment approach called cutset energy function method is developed to assess the transient stability of the system for each configuration of the committed units, under a set of probable contingencies. Several case studies on a dynamic test system are demonstrated to validate the efficacy of the proposed TSCUC algorithm. Finally, the proposed method performance is compared with the state-of-the-art methods. |
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| AbstractList | •Proposing an energy-based transient stability constrained unit commitment model.•Considering sensitivity of generation level and inertia on stability margin.•Proposing cutset energy function methodology without loss of network structure.•Developing a state transition MILP formulation for the unit commitment model.
Rapid growth of load demand and concurrently system inertia deterioration put power systems at risk of transient instability. Therefore, operation of power systems as bulk complex systems must be secured against transient instability not only in hourly optimal power flow studies, but also in daily unit scheduling. To address this challenge, in this paper, secure and economic operation of power system is ensured through a Transient Stability-Constrained Unit Commitment (TSCUC) model employing Benders Decomposition (BD) technique. The proposed TSCUC model consists of one master problem determining committed units and two distinct sub-problems verifying the steady state impacts of single outages, and transient stability criteria, respectively. This paper proposes a state transition formulation for master problem as a mixed integer linear programming optimization problem preserving both compactness and tightness of the problem. A structure-preserving transient stability assessment approach called cutset energy function method is developed to assess the transient stability of the system for each configuration of the committed units, under a set of probable contingencies. Several case studies on a dynamic test system are demonstrated to validate the efficacy of the proposed TSCUC algorithm. Finally, the proposed method performance is compared with the state-of-the-art methods. |
| ArticleNumber | 106338 |
| Author | Zhang, Cuo Amraee, Turaj Saberi, Hossein Dong, Zhao Yang |
| Author_xml | – sequence: 1 givenname: Hossein surname: Saberi fullname: Saberi, Hossein email: h_saberi@email.kntu.ac.ir organization: Department of Electrical Engineering, K.N. Toosi University of Technology, Tehran, P.O: 14317-14191, Iran – sequence: 2 givenname: Turaj surname: Amraee fullname: Amraee, Turaj email: amraee@kntu.ac.ir organization: Department of Electrical Engineering, K.N. Toosi University of Technology, Tehran, P.O: 14317-14191, Iran – sequence: 3 givenname: Cuo surname: Zhang fullname: Zhang, Cuo organization: School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, Australia – sequence: 4 givenname: Zhao Yang surname: Dong fullname: Dong, Zhao Yang email: joe.dong@unsw.edu.au organization: School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, Australia |
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| Cites_doi | 10.1016/S0967-0661(98)00073-2 10.1109/TPWRS.2011.2165087 10.1109/TPAS.1981.316883 10.1049/iet-gtd.2012.0573 10.1016/j.ijepes.2018.04.026 10.1109/TPWRS.2017.2695964 10.1109/59.485989 10.1049/iet-gtd.2017.0617 10.1109/TPWRS.2014.2350476 10.1109/TPWRS.2014.2297997 10.1109/TPWRS.2014.2352318 10.1109/JSYST.2013.2289771 10.1109/TPWRS.2012.2216553 10.1109/TPWRS.2015.2434837 10.1109/TPWRS.2017.2686701 |
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| Keywords | Benders decomposition Power system security Transient stability Unit scheduling System optimization |
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| References | Park, Jin, Park (b0020) 2018; 102 Nikoobakht, Aghaei, Mardaneh, Niknam, Vahidinasab (b0005) 2018; 12 Ahmadi, Ghasemi (b0050) 2014; 29 Pai (b0085) 1989 Kazarlis, Bakirtzis, Petridis (b0090) 1996; 11 Ardakani, Bouffard (b0030) 2015; 30 1999. Tejada-Arango DA., Sanchez-Martin P, Ramos A. Security constrained unit commitment using line outage distribution factors. IEEE Trans Power Syst PP 2017;99:1–1. Bergen AR, Hill DJ. A structure preserving model for power system stability analysis. IEEE Trans Power Apparatus Syst PAS-100 1981;1:25–35. Gams release 2.50, a user guide. URL Aghaei, Karami, Muttaqi, Shayanfar, Ahmadi (b0045) 2015; 9 Hosseini, Toulabi, Ashouri-Zadeh, Ranjbar (b0010) 2019 Teng, Trovato, Strbac (b0055) 2016; 31 Jiang, Zhou, Zhang (b0060) 2013; 28 Pavella (b0080) 1998; 6 Xu, Dong, Zhang, Xue, Hill (b0065) 2015; 30 Yu, Venkatesh (b0025) 2013; 7 Liang, Tang (b0040) 2020; 119 Wu, Guan, Zhai, Ye (b0015) 2012; 27 Atakan, Lulli, Sen (b0075) 2018; 33 10.1016/j.ijepes.2020.106338_b0070 Nikoobakht (10.1016/j.ijepes.2020.106338_b0005) 2018; 12 Pai (10.1016/j.ijepes.2020.106338_b0085) 1989 10.1016/j.ijepes.2020.106338_b0095 Pavella (10.1016/j.ijepes.2020.106338_b0080) 1998; 6 Liang (10.1016/j.ijepes.2020.106338_b0040) 2020; 119 Atakan (10.1016/j.ijepes.2020.106338_b0075) 2018; 33 Hosseini (10.1016/j.ijepes.2020.106338_b0010) 2019 Aghaei (10.1016/j.ijepes.2020.106338_b0045) 2015; 9 Jiang (10.1016/j.ijepes.2020.106338_b0060) 2013; 28 Ahmadi (10.1016/j.ijepes.2020.106338_b0050) 2014; 29 Park (10.1016/j.ijepes.2020.106338_b0020) 2018; 102 Teng (10.1016/j.ijepes.2020.106338_b0055) 2016; 31 Wu (10.1016/j.ijepes.2020.106338_b0015) 2012; 27 Yu (10.1016/j.ijepes.2020.106338_b0025) 2013; 7 Ardakani (10.1016/j.ijepes.2020.106338_b0030) 2015; 30 Xu (10.1016/j.ijepes.2020.106338_b0065) 2015; 30 Kazarlis (10.1016/j.ijepes.2020.106338_b0090) 1996; 11 10.1016/j.ijepes.2020.106338_b0035 |
| References_xml | – volume: 7 start-page: 1516 year: 2013 end-page: 1526 ident: b0025 article-title: Fuzzy security constraints for unit commitment with outages publication-title: IET Gener Transmiss Distrib – reference: Gams release 2.50, a user guide. URL – reference: Tejada-Arango DA., Sanchez-Martin P, Ramos A. Security constrained unit commitment using line outage distribution factors. IEEE Trans Power Syst PP 2017;99:1–1. – volume: 31 start-page: 1557 year: 2016 end-page: 1566 ident: b0055 article-title: Stochastic scheduling with inertia-dependent fast frequency response requirements publication-title: IEEE Trans Power Syst – volume: 27 start-page: 526 year: 2012 end-page: 534 ident: b0015 article-title: A systematic method for constructing feasible solution to scuc problem with analytical feasibility conditions publication-title: IEEE Trans Power Syst – volume: 28 start-page: 1140 year: 2013 end-page: 1148 ident: b0060 article-title: Parallel augment lagrangian relaxation method for transient stability constrained unit commitment publication-title: IEEE Trans Power Syst – volume: 119 year: 2020 ident: b0040 article-title: Interval based transmission contingency-constrained unit commitment for integrated energy systems with high renewable penetration publication-title: Int J Electri Power Energy Syste – start-page: 1 year: 2019 end-page: 10 ident: b0010 article-title: Modified power reserve management solution in power system considering frequency constraints publication-title: IEEE Syst J – volume: 30 start-page: 2100 year: 2015 end-page: 2109 ident: b0030 article-title: Acceleration of umbrella constraint discovery in generation scheduling problems publication-title: IEEE Trans Power Syst – volume: 33 start-page: 736 year: 2018 end-page: 748 ident: b0075 article-title: A state transition mip formulation for the unit commitment problem publication-title: IEEE Trans Power Syst – volume: 11 start-page: 83 year: 1996 end-page: 92 ident: b0090 article-title: A genetic algorithm solution to the unit commitment problem publication-title: IEEE Trans Power Syst – volume: 12 start-page: 3780 year: 2018 end-page: 3792 ident: b0005 article-title: Moving beyond the optimal transmission switching: stochastic linearised scuc for the integration of wind power generation and equipment failures uncertainties publication-title: IET Gener Transmiss Distrib – volume: 29 start-page: 1536 year: 2014 end-page: 1545 ident: b0050 article-title: Security-constrained unit commitment with linearized system frequency limit constraints publication-title: IEEE Trans Power Syst – reference: Bergen AR, Hill DJ. A structure preserving model for power system stability analysis. IEEE Trans Power Apparatus Syst PAS-100 1981;1:25–35. – volume: 9 start-page: 615 year: 2015 end-page: 628 ident: b0045 article-title: Mip-based stochastic security-constrained daily hydrothermal generation scheduling publication-title: IEEE Syst J – volume: 6 start-page: 1233 year: 1998 end-page: 1246 ident: b0080 article-title: Power system transient stability assessment – traditional vs modern methods publication-title: Contr Eng Pract – volume: 102 start-page: 211 year: 2018 end-page: 222 ident: b0020 article-title: Stochastic security-constrained unit commitment with wind power generation based on dynamic line rating publication-title: Int J Electr Power Energy Syst – year: 1989 ident: b0085 article-title: Energy function analysis for power system stability – reference: ; 1999. – volume: 30 start-page: 1455 year: 2015 end-page: 1464 ident: b0065 article-title: A decomposition-based practical approach to transient stability-constrained unit commitment publication-title: IEEE Trans Power Syst – volume: 6 start-page: 1233 issue: 10 year: 1998 ident: 10.1016/j.ijepes.2020.106338_b0080 article-title: Power system transient stability assessment – traditional vs modern methods publication-title: Contr Eng Pract doi: 10.1016/S0967-0661(98)00073-2 – volume: 27 start-page: 526 issue: 1 year: 2012 ident: 10.1016/j.ijepes.2020.106338_b0015 article-title: A systematic method for constructing feasible solution to scuc problem with analytical feasibility conditions publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2011.2165087 – ident: 10.1016/j.ijepes.2020.106338_b0070 doi: 10.1109/TPAS.1981.316883 – volume: 7 start-page: 1516 issue: 12 year: 2013 ident: 10.1016/j.ijepes.2020.106338_b0025 article-title: Fuzzy security constraints for unit commitment with outages publication-title: IET Gener Transmiss Distrib doi: 10.1049/iet-gtd.2012.0573 – ident: 10.1016/j.ijepes.2020.106338_b0095 – volume: 102 start-page: 211 year: 2018 ident: 10.1016/j.ijepes.2020.106338_b0020 article-title: Stochastic security-constrained unit commitment with wind power generation based on dynamic line rating publication-title: Int J Electr Power Energy Syst doi: 10.1016/j.ijepes.2018.04.026 – volume: 33 start-page: 736 issue: 1 year: 2018 ident: 10.1016/j.ijepes.2020.106338_b0075 article-title: A state transition mip formulation for the unit commitment problem publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2017.2695964 – volume: 11 start-page: 83 issue: 1 year: 1996 ident: 10.1016/j.ijepes.2020.106338_b0090 article-title: A genetic algorithm solution to the unit commitment problem publication-title: IEEE Trans Power Syst doi: 10.1109/59.485989 – year: 1989 ident: 10.1016/j.ijepes.2020.106338_b0085 – volume: 119 year: 2020 ident: 10.1016/j.ijepes.2020.106338_b0040 article-title: Interval based transmission contingency-constrained unit commitment for integrated energy systems with high renewable penetration publication-title: Int J Electri Power Energy Syste – volume: 12 start-page: 3780 issue: 15 year: 2018 ident: 10.1016/j.ijepes.2020.106338_b0005 article-title: Moving beyond the optimal transmission switching: stochastic linearised scuc for the integration of wind power generation and equipment failures uncertainties publication-title: IET Gener Transmiss Distrib doi: 10.1049/iet-gtd.2017.0617 – volume: 30 start-page: 1455 issue: 3 year: 2015 ident: 10.1016/j.ijepes.2020.106338_b0065 article-title: A decomposition-based practical approach to transient stability-constrained unit commitment publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2014.2350476 – volume: 29 start-page: 1536 issue: 4 year: 2014 ident: 10.1016/j.ijepes.2020.106338_b0050 article-title: Security-constrained unit commitment with linearized system frequency limit constraints publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2014.2297997 – start-page: 1 year: 2019 ident: 10.1016/j.ijepes.2020.106338_b0010 article-title: Modified power reserve management solution in power system considering frequency constraints publication-title: IEEE Syst J – volume: 30 start-page: 2100 issue: 4 year: 2015 ident: 10.1016/j.ijepes.2020.106338_b0030 article-title: Acceleration of umbrella constraint discovery in generation scheduling problems publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2014.2352318 – volume: 9 start-page: 615 issue: 2 year: 2015 ident: 10.1016/j.ijepes.2020.106338_b0045 article-title: Mip-based stochastic security-constrained daily hydrothermal generation scheduling publication-title: IEEE Syst J doi: 10.1109/JSYST.2013.2289771 – volume: 28 start-page: 1140 issue: 2 year: 2013 ident: 10.1016/j.ijepes.2020.106338_b0060 article-title: Parallel augment lagrangian relaxation method for transient stability constrained unit commitment publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2012.2216553 – volume: 31 start-page: 1557 issue: 2 year: 2016 ident: 10.1016/j.ijepes.2020.106338_b0055 article-title: Stochastic scheduling with inertia-dependent fast frequency response requirements publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2015.2434837 – ident: 10.1016/j.ijepes.2020.106338_b0035 doi: 10.1109/TPWRS.2017.2686701 |
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| SubjectTerms | Benders decomposition Power system security System optimization Transient stability Unit scheduling |
| Title | A benders-decomposition-based transient-stability-constrained unit scheduling model utilizing cutset energy function method |
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