Direct Backward/Forward Sweep Algorithm for Solving Load Power Flows in AC Droop-Regulated Microgrids

We propose an algorithm capable of solving the load power flow problem in ac droop-regulated microgrids. Based on radial distribution networks, these systems lack a slack bus for facilitating the computation by means of conventional methods. Rather than having the stiff bus that provides a voltage r...

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Bibliographic Details
Published in:IEEE transactions on smart grid 2016-09, Vol.7 (5), p.2208-2217
Main Authors: Diaz, Guzman, Gomez-Aleixandre, Javier, Coto, Jose
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Algorithms
Backward/forward sweep (BFS)
Computation
Convergence
Data buses
droop
Electric potential
Generators
Jacobian matrices
load power flow
Mathematical analysis
Mathematical models
Microgrids
Power flow
Reactive power
Voltage
Voltage control
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Summary:We propose an algorithm capable of solving the load power flow problem in ac droop-regulated microgrids. Based on radial distribution networks, these systems lack a slack bus for facilitating the computation by means of conventional methods. Rather than having the stiff bus that provides a voltage reference and supplies the necessary power, the voltage and power regulation must be shared among the distributed resources as a function of their frequency and voltage droop functions. The proposed algorithm is based on the well-known backward/forward sweep algorithm, conventionally employed to solve grid-connected radial load power flows, with the interesting property that they are derivative-free. We have expanded the algorithm to cope with the lack of slack bus. In this paper, we show the theoretical foundation and provide some tests with ex-post computations to investigate the coherence of the results.
ISSN:1949-3053
1949-3061
DOI:10.1109/TSG.2015.2478278