Efficient linear network model for TEP based on piecewise McCormick relaxation
This study presents a novel scheme for transmission expansion planning (TEP) based on piecewise McCormick relaxation. The model presented considers investment and operation cost and identifies the transmission lines to be built. Since the AC power flow equations are inherently non-convex and non-lin...
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| Vydané v: | IET generation, transmission & distribution Ročník 13; číslo 23; s. 5404 - 5412 |
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| Hlavní autori: | , , |
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| Jazyk: | English |
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The Institution of Engineering and Technology
03.12.2019
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| ISSN: | 1751-8687, 1751-8695 |
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| Abstract | This study presents a novel scheme for transmission expansion planning (TEP) based on piecewise McCormick relaxation. The model presented considers investment and operation cost and identifies the transmission lines to be built. Since the AC power flow equations are inherently non-convex and non-linear, the resulting TEP model will be a highly complex optimisation problem, in which the optimal global solution is not guaranteed to be found by the existing techniques. This study aims to transform the non-linear model of the power network into a novel linear one. The model proposed is much more precise compared with the DC approach, while the global solution is guaranteed to be found by the off-the-shelf solvers. This accurate transformation from a non-convex and non-linear AC-TEP formulation into a linear-TEP model enables the planner to get more insight into the power flow of the power system. The TEP problem is formulated as a mixed-integer linear programming problem and is solved using the efficient commercial solvers. The results of the case studies show the tractability and exactness of the proposed model as well as its superiority over the state-of-the-art schemes. |
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| AbstractList | This study presents a novel scheme for transmission expansion planning (TEP) based on piecewise McCormick relaxation. The model presented considers investment and operation cost and identifies the transmission lines to be built. Since the AC power flow equations are inherently non‐convex and non‐linear, the resulting TEP model will be a highly complex optimisation problem, in which the optimal global solution is not guaranteed to be found by the existing techniques. This study aims to transform the non‐linear model of the power network into a novel linear one. The model proposed is much more precise compared with the DC approach, while the global solution is guaranteed to be found by the off‐the‐shelf solvers. This accurate transformation from a non‐convex and non‐linear AC‐TEP formulation into a linear‐TEP model enables the planner to get more insight into the power flow of the power system. The TEP problem is formulated as a mixed‐integer linear programming problem and is solved using the efficient commercial solvers. The results of the case studies show the tractability and exactness of the proposed model as well as its superiority over the state‐of‐the‐art schemes. |
| Author | Reza Abbasi, Ali Gitizadeh, Mohsen Goodarzi, Shahin |
| Author_xml | – sequence: 1 givenname: Shahin surname: Goodarzi fullname: Goodarzi, Shahin organization: 1Department of Electronics and Electrical Engineering, Shiraz University of Technology, Shiraz, Iran – sequence: 2 givenname: Mohsen surname: Gitizadeh fullname: Gitizadeh, Mohsen email: gitizadeh@sutech.ac.ir organization: 1Department of Electronics and Electrical Engineering, Shiraz University of Technology, Shiraz, Iran – sequence: 3 givenname: Ali surname: Reza Abbasi fullname: Reza Abbasi, Ali organization: 2Department of Electrical, Faculty of Engineering, Fasa University, Fasa, Iran |
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| Keywords | power transmission lines nonlinear programming integer programming power system nonconvex AC-TEP formulation nonlinear model complex optimisation problem linear programming transmission expansion planning power transmission economics optimal global solution efficient commercial solvers mixed-integer linear programming problem AC power flow equations off-the-shelf solvers TEP problem power transmission planning linear-TEP model concave programming investment nonlinear AC-TEP formulation efficient linear network model transmission lines power network operation cost piecewise McCormick relaxation load flow |
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| SubjectTerms | AC power flow equations complex optimisation problem concave programming efficient commercial solvers efficient linear network model integer programming investment linear programming linear‐TEP model load flow mixed‐integer linear programming problem nonconvex AC‐TEP formulation nonlinear AC‐TEP formulation nonlinear model nonlinear programming off‐the‐shelf solvers operation cost optimal global solution piecewise McCormick relaxation power network power system power transmission economics power transmission lines power transmission planning Research Article TEP problem transmission expansion planning transmission lines |
| Title | Efficient linear network model for TEP based on piecewise McCormick relaxation |
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