Efficient sensitivity based approach for AC transmission expansion planning
AC transmission expansion planning (TEP) is a complex problem to solve due to its large scale, mixed-integer, non-linear and non-convex characteristics. This paper presents an efficient sensitivity based approach which employs the primal-dual interior point method (PDIPM), for tackling integer varia...
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| Published in: | IET generation, transmission & distribution Vol. 14; no. 12; pp. 2378 - 2388 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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The Institution of Engineering and Technology
19.06.2020
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| ISSN: | 1751-8687, 1751-8695 |
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| Abstract | AC transmission expansion planning (TEP) is a complex problem to solve due to its large scale, mixed-integer, non-linear and non-convex characteristics. This paper presents an efficient sensitivity based approach which employs the primal-dual interior point method (PDIPM), for tackling integer variables in AC TEP. PDIPM's Hessian is used to evaluate the sensitivities of the objective function with respect to the line candidates, which are then used to find a feasible AC TEP solution. The proposed approach solves this non-convex mixed integer non-linear programming problem, without resorting to any use of relaxations/approximations in the AC TEP model. Also, the need and superiority of the AC TEP over the conventional DC TEP is established by comparing both using the proposed approach. Solutions of AC TEP with reactive power planning and an integrated multistage AC TEP are also obtained to demonstrate the performance of the proposed approach. Superior solution quality and lesser computation time of the proposed approach are confirmed by comparing the same with that of the branch and bound/cut approach, constructive heuristic algorithm, merit function-based approach, conic programming and particle swarm optimisation. The studies performed for the various test cases prove the efficacy and computational efficiency of the proposed approach. |
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| AbstractList | AC transmission expansion planning (TEP) is a complex problem to solve due to its large scale, mixed‐integer, non‐linear and non‐convex characteristics. This paper presents an efficient sensitivity based approach which employs the primal‐dual interior point method (PDIPM), for tackling integer variables in AC TEP. PDIPM's Hessian is used to evaluate the sensitivities of the objective function with respect to the line candidates, which are then used to find a feasible AC TEP solution. The proposed approach solves this non‐convex mixed integer non‐linear programming problem, without resorting to any use of relaxations/approximations in the AC TEP model. Also, the need and superiority of the AC TEP over the conventional DC TEP is established by comparing both using the proposed approach. Solutions of AC TEP with reactive power planning and an integrated multistage AC TEP are also obtained to demonstrate the performance of the proposed approach. Superior solution quality and lesser computation time of the proposed approach are confirmed by comparing the same with that of the branch and bound/cut approach, constructive heuristic algorithm, merit function‐based approach, conic programming and particle swarm optimisation. The studies performed for the various test cases prove the efficacy and computational efficiency of the proposed approach. |
| Author | Yasasvi, Puvvada Naga Srivastava, Suresh C Mohapatra, Abheejeet |
| Author_xml | – sequence: 1 givenname: Puvvada Naga surname: Yasasvi fullname: Yasasvi, Puvvada Naga email: yasasvi@iitk.ac.in organization: Department of Electrical Engineering, IIT Kanpur, Kanpur 208016, India – sequence: 2 givenname: Abheejeet surname: Mohapatra fullname: Mohapatra, Abheejeet organization: Department of Electrical Engineering, IIT Kanpur, Kanpur 208016, India – sequence: 3 givenname: Suresh C surname: Srivastava fullname: Srivastava, Suresh C organization: Department of Electrical Engineering, IIT Kanpur, Kanpur 208016, India |
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| Copyright | The Institution of Engineering and Technology 2020 The Authors. IET Generation, Transmission & Distribution published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology |
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| Keywords | AC TEP model integrated multistage AC TEP AC transmission expansion planning merit function based approach particle swarm optimisation integer programming nonlinear programming nonconvex mixed integer nonlinear programming problem linear programming power transmission economics feasible AC TEP solution efficient sensitivity based approach conventional DC TEP nonconvex characteristics primal-dual interior point method mixed-integer reactive power reactive power planning integer variables power transmission planning power grids concave programming power transmission reliability |
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Distrib. – volume: 68 start-page: 243 year: 2015 end-page: 251 article-title: Specialized differential evolution technique to solve the alternating current model based transmission expansion planning problem publication-title: Int. J. Electr. Power Energy Syst. – volume: 15 start-page: 1168 issue: 3 year: 2000 end-page: 1174 article-title: Transmission network expansion planning under an improved genetic algorithm publication-title: IEEE Trans. Power Syst. – volume: 152 start-page: 277 issue: 2 year: 2005 end-page: 282 article-title: Constructive heuristic algorithm for the dc model in network transmission expansion planning publication-title: IEEE Proc. Gener. Transm. Distrib. – volume: 9 start-page: 1235 issue: 12 year: 2015 end-page: 1244 article-title: Piecewise‐linear approximations for a non‐linear transmission expansion planning problem publication-title: IET Gener. Transm. 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| Snippet | AC transmission expansion planning (TEP) is a complex problem to solve due to its large scale, mixed-integer, non-linear and non-convex characteristics. This... AC transmission expansion planning (TEP) is a complex problem to solve due to its large scale, mixed‐integer, non‐linear and non‐convex characteristics. This... |
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| SubjectTerms | AC TEP model AC transmission expansion planning concave programming conventional DC TEP efficient sensitivity based approach feasible AC TEP solution integer programming integer variables integrated multistage AC TEP linear programming merit function based approach mixed‐integer nonconvex characteristics nonconvex mixed integer nonlinear programming problem nonlinear programming particle swarm optimisation power grids power transmission economics power transmission planning power transmission reliability primal‐dual interior point method reactive power reactive power planning Research Article |
| Title | Efficient sensitivity based approach for AC transmission expansion planning |
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