Arbitrarily Sparse Polynomial Chaos Expansion for High-Dimensional Parametric Problems: Parametric and Probabilistic Power Flow as an Example

IEEE Systems Journal ◽

10.1109/jsyst.2021.3131479 ◽

2021 ◽

pp. 1-10

Author(s):

Danfeng Shen ◽

Hao Wu ◽

Bingqing Xia ◽

Deqiang Gan

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

High Dimensional ◽

Chaos Expansion ◽

Sparse Polynomial ◽

Parametric Problems ◽

Sparse Polynomial Chaos Expansion ◽

Probabilistic Power Flow

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Basis-Adaptive Sparse Polynomial Chaos Expansion for Probabilistic Power Flow

IEEE Transactions on Power Systems ◽

10.1109/tpwrs.2016.2558622 ◽

2017 ◽

Vol 32 (1) ◽

pp. 694-704 ◽

Author(s):

Fei Ni ◽

Phuong H. Nguyen ◽

Joseph F. G. Cobben

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion ◽

Probabilistic Power Flow

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Basis-adaptive sparse polynomial chaos expansion for probabilistic power flow

2017 IEEE Manchester PowerTech ◽

10.1109/ptc.2017.7981029 ◽

2017 ◽

Author(s):

Fei Ni ◽

Phuong H. Nguyen ◽

Joseph F.G. Cobben

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion ◽

Probabilistic Power Flow

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Solving Probabilistic Power Flow with Wind Generation by Polynomial Chaos Expansion Method from the Perspective of Parametric Problems

2020 IEEE Power & Energy Society General Meeting (PESGM) ◽

10.1109/pesgm41954.2020.9281771 ◽

2020 ◽

Author(s):

Danfeng Shen ◽

Hao Wu ◽

Lu Liu ◽

Deqiang Gan

Keyword(s):

Polynomial Chaos ◽

Expansion Method ◽

Polynomial Chaos Expansion ◽

Wind Generation ◽

Chaos Expansion ◽

Parametric Problems ◽

Probabilistic Power Flow

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A Data-Driven Sparse Polynomial Chaos Expansion Method to Assess Probabilistic Total Transfer Capability for Power Systems with Renewables

IEEE Transactions on Power Systems ◽

10.1109/tpwrs.2020.3034520 ◽

2020 ◽

pp. 1-1

Author(s):

Xiaoting Wang ◽

Xiaozhe Wang ◽

Hao Sheng ◽

Xi Lin

Keyword(s):

Power Systems ◽

Polynomial Chaos ◽

Expansion Method ◽

Polynomial Chaos Expansion ◽

Data Driven ◽

Chaos Expansion ◽

Total Transfer Capability ◽

Sparse Polynomial ◽

Transfer Capability ◽

Sparse Polynomial Chaos Expansion

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Multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression and least angle regression

Journal of Physics Conference Series ◽

10.1088/1742-6596/1730/1/012091 ◽

2021 ◽

Vol 1730 (1) ◽

pp. 012091

Author(s):

Dong Xiao ◽

Michele Ferlauto ◽

Liming Song ◽

Jun Li

Keyword(s):

Gaussian Process ◽

Polynomial Chaos ◽

Gaussian Process Regression ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Least Angle Regression ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion

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Probabilistic load flow calculation based on sparse polynomial chaos expansion

IET Generation Transmission & Distribution ◽

10.1049/iet-gtd.2017.0859 ◽

2018 ◽

Vol 12 (11) ◽

pp. 2735-2744 ◽

Author(s):

Xin Sun ◽

Qingrui Tu ◽

Jinfu Chen ◽

Chengwen Zhang ◽

Xianzhong Duan

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Load Flow ◽

Chaos Expansion ◽

Flow Calculation ◽

Probabilistic Load Flow ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion ◽

Probabilistic Load ◽

Load Flow Calculation

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A Generalized Copula-Polynomial Chaos Expansion for Probabilistic Power Flow Considering Nonlinear Correlations of PV Injections

2020 52nd North American Power Symposium (NAPS) ◽

10.1109/naps50074.2021.9449783 ◽

2021 ◽

Author(s):

Ketian Ye ◽

Junbo Zhao ◽

Rui Yang ◽

Yingchen Zhang ◽

Xiaodong Liu

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Probabilistic Power Flow ◽

Nonlinear Correlations

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Sparse Polynomial Chaos expansion for advanced nuclear fuel cycle sensitivity analysis

Annals of Nuclear Energy ◽

10.1016/j.anucene.2020.107430 ◽

2020 ◽

Vol 142 ◽

pp. 107430

Author(s):

A.V. Skarbeli ◽

F. Álvarez-Velarde

Keyword(s):

Sensitivity Analysis ◽

Nuclear Fuel ◽

Polynomial Chaos ◽

Nuclear Fuel Cycle ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion

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An efficient adaptive forward–backward selection method for sparse polynomial chaos expansion

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.06.034 ◽

2019 ◽

Vol 355 ◽

pp. 456-491

Author(s):

Huan Zhao ◽

Zhenghong Gao ◽

Fang Xu ◽

Yidian Zhang ◽

Jiangtao Huang

Keyword(s):

Polynomial Chaos ◽

Polynomial Chaos Expansion ◽

Selection Method ◽

Chaos Expansion ◽

Sparse Polynomial ◽

Sparse Polynomial Chaos Expansion

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Probabilistic power flow analysis based on arbitrary polynomial chaos expansion of bus voltage phasor

International Transactions on Electrical Energy Systems ◽

10.1002/2050-7038.12315 ◽

2020 ◽

Vol 30 (5) ◽

Author(s):

Jirasak Laowanitwattana ◽

Sermsak Uatrongjit

Keyword(s):

Polynomial Chaos ◽

Flow Analysis ◽

Polynomial Chaos Expansion ◽

Chaos Expansion ◽

Arbitrary Polynomial ◽

Power Flow Analysis ◽

Probabilistic Power Flow ◽

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