# Economic Dispatch in Unbalanced Distribution Networks via Semidefinite Relaxation

@article{DallAnese2012EconomicDI, title={Economic Dispatch in Unbalanced Distribution Networks via Semidefinite Relaxation}, author={Emiliano Dall’Anese and Georgios B. Giannakis and Bruce F. Wollenberg}, journal={arXiv: Optimization and Control}, year={2012} }

The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn from the main grid and supplied by the DG units over a given time horizon, while meeting the overall load demand and effecting voltage regulation. Similar to optimal power flow counterparts for balanced systems, the resultant optimization problem is…

## 6 Citations

Survey on Convex Optimization in Power Distribution Networks

- 2019

The purpose of this paper is to present a comprehensive survey of various optimization methods used to solve OPF problems.This paper is concerned with the minimum cost flow problem over an arbitrary…

Convex Relaxation for Optimal Power Flow Problem: Mesh Networks

- Mathematics, Computer ScienceIEEE Transactions on Power Systems
- 2015

The SDP relaxation is proven to succeed if the capacity of each line is modeled in terms of bus voltage difference, as opposed to line active power, apparent power or angle difference, leading to a near-optimal solution for OPF with a guaranteed optimality degree.

Convex relaxation for optimal power flow problem: Mesh networks

- Mathematics2013 Asilomar Conference on Signals, Systems and Computers
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This paper is concerned with a fundamental resource allocation problem for electrical power networks. This problem, named optimal power flow (OPF), is nonconvex due to the nonlinearities imposed by…

Economic Dispatch for a Distribution Network with Intermittent Renewables and Tap Changers

- Computer Science2018 IEEE Power & Energy Society General Meeting (PESGM)
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Testing results on a simple 3-bus and a modified 34- bus system demonstrate that the method converges fast, and has the potential to solve practical distribution ED problems.

Convexification of optimal power flow problem by means of phase shifters

- Mathematics, Computer Science2013 IEEE International Conference on Smart Grid Communications (SmartGridComm)
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It is shown that OPF can be convexified under only Approximation (i), provided some mild assumptions are satisfied, and the results developed here can be applied to several OPF-based emerging optimization problems for future electrical grids.

Application of semidefinite optimization techniques to problems in electric power systems

- Engineering
- 2013

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