access icon free Bi-level optimal planning model of power flow router based on convex relaxation optimisation and sensitivity analysis method

© The Institution of Engineering and Technology
Received 09/03/2019, Accepted 06/02/2020, Revised 26/01/2020, Published 12/02/2020

To improve the utilisation of renewable energy and the power transmission capacity in the power system, the concept of power flow router (PFR) is proposed by scholars worldwide. However, there lacks an optimal planning method for PFR based on the economic principle, which impedes the development of PFR. To solve the above problem, the optimal location and capacity planning method of PFR is researched in this study, where a bi-level algorithm based on the convex relaxation optimisation and sensitivity analysis method is proposed. First, the definition and the general power flow model of PFR are introduced. According to the principle of engineering economy, the allocation model of PFR is established by introducing the binary variables. To solve the non-linear and non-convex mixed-integer programming problem, this study proposes a bi-level algorithm with the convex relaxation optimisation and sensitivity analysis method. Finally, the case studies are conducted in IEEE 30, IEEE 57 and IEEE 118 systems. The calculation results of the optimal power flow, planning results and economical analysis of PFRs are verified in IEEE 30, 57 and 118 systems, which shows the accuracy of the proposed algorithm.

Inspec keywords: power system planning; integer programming; load flow; sensitivity analysis; nonlinear programming

Other keywords: optimal planning method; nonlinear mixed-integer programming problem; general power flow model; capacity planning method; sensitivity analysis method; optimal location; power transmission capacity; level optimal planning model; nonconvex mixed-integer programming problem; optimal power flow; bi-level algorithm; power system; power flow router; convex relaxation optimisation; PFR

Subjects: Optimisation techniques; Power system planning and layout

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