Second-order cone AC optimal power flow: convex relaxations and feasible solutions
Abstract Optimal power flow (OPF) is the fundamental mathematical model to optimize power system operations. Based on conic relaxation, Taylor series expansion and McCormick envelope, we propose three convex OPF models to improve the performance of the second-order cone alternating current OPF (SOC-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2018-10-01
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| Series: | Journal of Modern Power Systems and Clean Energy |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s40565-018-0456-7 |
| _version_ | 1818943288228446208 |
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| author | Zhao YUAN Mohammad Reza HESAMZADEH |
| author_facet | Zhao YUAN Mohammad Reza HESAMZADEH |
| author_sort | Zhao YUAN |
| collection | DOAJ |
| description | Abstract Optimal power flow (OPF) is the fundamental mathematical model to optimize power system operations. Based on conic relaxation, Taylor series expansion and McCormick envelope, we propose three convex OPF models to improve the performance of the second-order cone alternating current OPF (SOC-ACOPF) model. The underlying idea of the proposed SOC-ACOPF models is to drop assumptions of the original SOC-ACOPF model by convex relaxation and approximation methods. A heuristic algorithm to recover feasible ACOPF solution from the relaxed solution of the proposed SOC-ACOPF models is developed. The proposed SOC-ACOPF models are examined through IEEE case studies under various load scenarios and power network congestions. The quality of solutions from the proposed SOC-ACOPF models is evaluated using MATPOWER (local optimality) and LINDOGLOBAL (global optimality). We also compare numerically the proposed SOC-ACOPF models with other two convex ACOPF models in the literature. The numerical results show robust performance of the proposed SOC-ACOPF models and the feasible solution recovery algorithm. |
| first_indexed | 2024-12-20T07:24:56Z |
| format | Article |
| id | doaj.art-e04a1c0116e1462d9391db3e3e3e9068 |
| institution | Directory Open Access Journal |
| issn | 2196-5625 2196-5420 |
| language | English |
| last_indexed | 2024-12-20T07:24:56Z |
| publishDate | 2018-10-01 |
| publisher | IEEE |
| record_format | Article |
| series | Journal of Modern Power Systems and Clean Energy |
| spelling | doaj.art-e04a1c0116e1462d9391db3e3e3e90682022-12-21T19:48:34ZengIEEEJournal of Modern Power Systems and Clean Energy2196-56252196-54202018-10-017226828010.1007/s40565-018-0456-7Second-order cone AC optimal power flow: convex relaxations and feasible solutionsZhao YUAN0Mohammad Reza HESAMZADEH1Department of Electric Power and Energy Systems, KTH Royal Institute of TechnologyDepartment of Electric Power and Energy Systems, KTH Royal Institute of TechnologyAbstract Optimal power flow (OPF) is the fundamental mathematical model to optimize power system operations. Based on conic relaxation, Taylor series expansion and McCormick envelope, we propose three convex OPF models to improve the performance of the second-order cone alternating current OPF (SOC-ACOPF) model. The underlying idea of the proposed SOC-ACOPF models is to drop assumptions of the original SOC-ACOPF model by convex relaxation and approximation methods. A heuristic algorithm to recover feasible ACOPF solution from the relaxed solution of the proposed SOC-ACOPF models is developed. The proposed SOC-ACOPF models are examined through IEEE case studies under various load scenarios and power network congestions. The quality of solutions from the proposed SOC-ACOPF models is evaluated using MATPOWER (local optimality) and LINDOGLOBAL (global optimality). We also compare numerically the proposed SOC-ACOPF models with other two convex ACOPF models in the literature. The numerical results show robust performance of the proposed SOC-ACOPF models and the feasible solution recovery algorithm.http://link.springer.com/article/10.1007/s40565-018-0456-7Optimal power flowConic relaxationMcCormick envelopeTaylor series expansionFeasible solution |
| spellingShingle | Zhao YUAN Mohammad Reza HESAMZADEH Second-order cone AC optimal power flow: convex relaxations and feasible solutions Journal of Modern Power Systems and Clean Energy Optimal power flow Conic relaxation McCormick envelope Taylor series expansion Feasible solution |
| title | Second-order cone AC optimal power flow: convex relaxations and feasible solutions |
| title_full | Second-order cone AC optimal power flow: convex relaxations and feasible solutions |
| title_fullStr | Second-order cone AC optimal power flow: convex relaxations and feasible solutions |
| title_full_unstemmed | Second-order cone AC optimal power flow: convex relaxations and feasible solutions |
| title_short | Second-order cone AC optimal power flow: convex relaxations and feasible solutions |
| title_sort | second order cone ac optimal power flow convex relaxations and feasible solutions |
| topic | Optimal power flow Conic relaxation McCormick envelope Taylor series expansion Feasible solution |
| url | http://link.springer.com/article/10.1007/s40565-018-0456-7 |
| work_keys_str_mv | AT zhaoyuan secondorderconeacoptimalpowerflowconvexrelaxationsandfeasiblesolutions AT mohammadrezahesamzadeh secondorderconeacoptimalpowerflowconvexrelaxationsandfeasiblesolutions |