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Maximizing wind power penetration through a new approach of the linear power transfer distribution factors

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Abstract

An alternative power flow formulation, called linear power flow or “dc” power flow (DCPF), consists in the consideration of some simplifications regarding the network representation, leading to a linear problem formulation of low-cost computational performance, and reasonable accuracy. The distribution factors developed from the linear formulation of the power flow problem represent a sensitivity relation between system variables and have a variety of applications. Usually, the power transfer distribution factors (PTDF) are calculated based on the fact that all the power unbalance will be absorbed by the system’s reference bus. This paper proposes a new formulation of the PTDF to perform a more realistic analysis of a system’s operation, based on the linear power flow methodology and the generator’s participation factors. This formulation is then applied to an optimization problem to maximize wind power penetration in an 11-bus test system and the IEEE 118-bus system. The results are compared to those obtained by the original PTDF formulation to determine the new approach benefits. The results presented validate and indicate the effectiveness of the proposed technique.

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Acknowledgements

The authors would like to thank the National Research Council (CNPq), the Brazilian Federal Agency for Support and Evaluation of Graduate Education (CAPES), and the State of Minas Gerais Research Foundation (FAPEMIG).

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Authors and Affiliations

  1. Electrical Engineering Postgraduate Program, Federal University of Juiz de Fora (UFJF), Juiz de Fora, MG, Brazil

    Mariana B. Altomar

  2. Department of Electrical Engineering, Federal University of Juiz de Fora (UFJF), Juiz de Fora, MG, Brazil

    João A. Passos Filho

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  1. Mariana B. Altomar
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  2. João A. Passos Filho
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Correspondence to Mariana B. Altomar.

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Altomar, M.B., Passos Filho, J.A. Maximizing wind power penetration through a new approach of the linear power transfer distribution factors. Electr Eng 104, 1821–1829 (2022). https://doi.org/10.1007/s00202-021-01422-2

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