Probabilistic Power Flow Based on a Gaussian Process Emulator

Xu, Yijun; Hu, Zhixiong; Mili, Lamine; Korkali, Mert; Chen, Xiao

doi:10.1109/tpwrs.2020.2983603

Title: Probabilistic Power Flow Based on a Gaussian Process Emulator

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Abstract

In this letter, a novel Gaussian process emulator is proposed, for the first time, to conduct the probabilistic power-flow calculation. Based on Bayesian inference, a Gaussian process emulator is trained and served as a nonparametric, reduced-order model of the nonlinear power-flow model. This emulator has allowed us to evaluate the time-consuming power-flow solver at the sampled values with a negligible computational cost. The simulations reveal the excellent performance of this method.

Authors:

^[1]; Hu, Zhixiong ^[2];

^[1];

^[3];

^[3]

Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Falls Church, VA (United States)
Univ. of California, Santa Cruz, CA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: 2020-04-01

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Electricity (OE); National Science Foundation (NSF)

OSTI Identifier:: 1668501

Report Number(s):: LLNL-JRNL-790158
Journal ID: ISSN 0885-8950; 988765

Grant/Contract Number:: AC52-07NA27344; 1917308

Resource Type:: Accepted Manuscript

Journal Name:: IEEE Transactions on Power Systems

Additional Journal Information:: Journal Volume: 35; Journal Issue: 4; Journal ID: ISSN 0885-8950

Publisher:: IEEE

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; probabilistic power flow; Gaussian process emulator; Latin hypercube sampling; copula

Citation Formats


                    Xu, Yijun, Hu, Zhixiong, Mili, Lamine, Korkali, Mert, and Chen, Xiao. Probabilistic Power Flow Based on a Gaussian Process Emulator.  United States: N. p., 2020. 
Web.  doi:10.1109/tpwrs.2020.2983603.

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                    Xu, Yijun, Hu, Zhixiong, Mili, Lamine, Korkali, Mert, & Chen, Xiao. Probabilistic Power Flow Based on a Gaussian Process Emulator.  United States.  https://doi.org/10.1109/tpwrs.2020.2983603

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                    Xu, Yijun, Hu, Zhixiong, Mili, Lamine, Korkali, Mert, and Chen, Xiao. Wed .  
"Probabilistic Power Flow Based on a Gaussian Process Emulator".  United States.  https://doi.org/10.1109/tpwrs.2020.2983603.  https://www.osti.gov/servlets/purl/1668501.

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@article{osti_1668501,

  title        = {Probabilistic Power Flow Based on a Gaussian Process Emulator},

  author       = {Xu, Yijun and Hu, Zhixiong and Mili, Lamine and Korkali, Mert and Chen, Xiao},

  abstractNote = {In this letter, a novel Gaussian process emulator is proposed, for the first time, to conduct the probabilistic power-flow calculation. Based on Bayesian inference, a Gaussian process emulator is trained and served as a nonparametric, reduced-order model of the nonlinear power-flow model. This emulator has allowed us to evaluate the time-consuming power-flow solver at the sampled values with a negligible computational cost. The simulations reveal the excellent performance of this method.},

  doi          = {10.1109/tpwrs.2020.2983603},

  journal      = {IEEE Transactions on Power Systems},

  number       = 4,

  volume       = 35,

  place        = {United States},

  year         = {2020},

  month        = {4}

}

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