DOI:https://doi.org/10.1007/s40565-018-0456-7 |
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Second-order cone AC optimal power flow: convex relaxations and feasible solutions |
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Net amount: 948 |
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Author:
Zhao YUAN1, Mohammad Reza HESAMZADEH1
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Author Affiliation:
1. Department of Electric Power and Energy Systems, KTH
Royal Institute of Technology, Teknikringen 33, 11428
Stockholm, Sweden
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Foundation: |
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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 SOCACOPF
models and the feasible solution recovery
algorithm. |
Keywords: |
Optimal power flow, Conic relaxation,
McCormick envelope, Taylor series expansion, Feasible
solution |
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Online Time:2019/03/08 |
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