A Bi-Level Branch and Bound Method for Economic Dispatch with Disjoint Prohibited Zones Considering Network Losses
This paper proposes a bi-level branch-and-bound ((B&B) method to solve the economic dispatch problem with prohibited zones and network losses. The approach employs binary variables for each prohibited zone and utilizes the B-coefficient for network losses, which can be transformed into a mixed-integer quadratically constrained quadratic programming (MIQCQP), where linear relaxation technique is applied on each bilinear term. Due to the complexity in solving the MIQCQP problem, this paper proposes a bi-level B&B method to achieve global optimum. A spatial B&B method is utilized in the higher level to solve the quadratically constrained quadratic programming (QCQP) problem, whereas a simple B&B method is employed in the lower level to solve a mixed-integer quadratic programming (MIQP) problem. The bi-level B&B algorithm that combines spatial and simple B&B methods is actually a deterministic optimization method and can produce global optimal solutions. Numerical results on 6-unit, 15-unit, and 40-unit test systems show that the bi-level B&B method can solve the MIQCQP problem with superior solution quality and convergence characteristics.
T. Ding et al., "A Bi-Level Branch and Bound Method for Economic Dispatch with Disjoint Prohibited Zones Considering Network Losses," IEEE Transactions on Power Systems, vol. 30, no. 6, pp. 2841-2855, Institute of Electrical and Electronics Engineers (IEEE), Nov 2015.
The definitive version is available at https://doi.org/10.1109/TPWRS.2014.2375322
Electrical and Computer Engineering
Keywords and Phrases
Complex Networks; Convergence of Numerical Methods; Electric Load Dispatching; Integer Programming; Nonlinear Programming; Numerical Methods; Optimization; Problem Solving; Quadratic Programming; Scheduling; Economic Dispatch; Mixed-Integer Nonlinear Programming; Prohibited Operating Zone; Quadratically Constrained Quadratic Programming (QCQP); Spatial Branch and Bounds; Branch and Bound Method; Mixed-Integer Nonlinear Programming (MINLP); Prohibited Operating Zones; Spatial Branch-And-Bound
International Standard Serial Number (ISSN)
Article - Journal
© 2015 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Nov 2015