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- Title
Decentralized Voltage Optimization Based on the Auxiliary Problem Principle in Distribution Networks with DERs.
- Authors
Di Fazio, Anna Rita; Risi, Chiara; Russo, Mario; De Santis, Michele; Soma, Gian Giuseppe; Pisano, Giuditta
- Abstract
Featured Application: A mathematical decomposition method based on the Auxiliary Problem Principle is applied to formulate and solve in a decentralized architecture a practical optimization problem, which determines the active and reactive powers injected/absorbed by Distributed Energy Resources to achieve the optimal voltage profile in an electric distribution system. This paper addresses the problem of optimizing the voltage profile of radially-operated distribution systems by acting on the active and reactive powers provided by distributed energy resources (DERs). A novel voltage optimization procedure is proposed by adopting a decentralized control strategy. To this aim, a centralized voltage optimization problem (VOP), minimizing the distance of all the nodal voltages from their reference values, is firstly formulated as a strictly-convex quadratic program. Then, the centralized VOP is rewritten by partitioning the network into voltage control zones (VCZs) with pilot nodes. To overcome the lack of strictly convexity determined by the reduction to the pilot nodes, the dual centralized VOP working on the augmented Lagrangian function is reformulated and iteratively solved by the method of multipliers. Finally, a fully-distributed VOP solution is obtained by applying a distributed algorithm based on the auxiliary problem principle, which allows for solving in each VCZ a quadratic programming problem of small dimension and to drive the VCZ solutions toward the overall optimum by an iterative coordination process that requires to exchange among the VCZs only scalar values. The effectiveness and feasibility of the proposed method have been demonstrated via numerical tests on the IEEE 123-bus system.
- Subjects
REACTIVE power; POWER resources; VOLTAGE; MATHEMATICAL decomposition; LAGRANGIAN functions; VOLTAGE references
- Publication
Applied Sciences (2076-3417), 2021, Vol 11, Issue 10, p4509
- ISSN
2076-3417
- Publication type
Article
- DOI
10.3390/app11104509