Arbitrary polynomial chaos based simulation of probabilistic power flow including renewable energies

Kazuaki Iwamura; Yuki Katagiri; Yosuke Nakanishi; Sachio Takano; Ryohei Suzuki

doi:10.1016/j.ifacol.2020.12.976

Arbitrary polynomial chaos based simulation of probabilistic power flow including renewable energies

Kazuaki Iwamura^*, Yuki Katagiri, Yosuke Nakanishi, Sachio Takano, Ryohei Suzuki

^*Corresponding author for this work

Graduate School of Environment and Energy Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

In this paper, a method is introduced for probabilistic power flow calculations based on arbitrary polynomial chaos. For the polynomial chaos, orthogonal polynomial sets are used to represent the uncertainties of renewable power generation, and these orthogonal polynomials are generated from actual data. The aforementioned method is applied to probabilistic power flow calculations, and its applicability is confirmed in application to an actual transmission network. The calculation time and accuracy achieved using the arbitrary polynomial-chaos method are compared with those achieved using the popular Monte Carlo method. The results show that the calculation speed is 246-680 times greater than that with the direct Monte Carlo method, while the accuracy is almost same.

Original language	English
Pages (from-to)	12145-12150
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.976
Publication status	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 2020 Jul 12 → 2020 Jul 17

Keywords

Accuracy
Algorithms
Arbitrary polynomial chaos
Calculation time
Orthogonal polynomial
Probabilistic power flow
Renewable power generation
Transmission network
Uncertainty

ASJC Scopus subject areas

Control and Systems Engineering

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.ifacol.2020.12.976

Cite this

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title = "Arbitrary polynomial chaos based simulation of probabilistic power flow including renewable energies",

abstract = "In this paper, a method is introduced for probabilistic power flow calculations based on arbitrary polynomial chaos. For the polynomial chaos, orthogonal polynomial sets are used to represent the uncertainties of renewable power generation, and these orthogonal polynomials are generated from actual data. The aforementioned method is applied to probabilistic power flow calculations, and its applicability is confirmed in application to an actual transmission network. The calculation time and accuracy achieved using the arbitrary polynomial-chaos method are compared with those achieved using the popular Monte Carlo method. The results show that the calculation speed is 246-680 times greater than that with the direct Monte Carlo method, while the accuracy is almost same.",

keywords = "Accuracy, Algorithms, Arbitrary polynomial chaos, Calculation time, Orthogonal polynomial, Probabilistic power flow, Renewable power generation, Transmission network, Uncertainty",

author = "Kazuaki Iwamura and Yuki Katagiri and Yosuke Nakanishi and Sachio Takano and Ryohei Suzuki",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.976",

language = "English",

volume = "53",

pages = "12145--12150",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "2",

}

TY - JOUR

T1 - Arbitrary polynomial chaos based simulation of probabilistic power flow including renewable energies

AU - Iwamura, Kazuaki

AU - Katagiri, Yuki

AU - Nakanishi, Yosuke

AU - Takano, Sachio

AU - Suzuki, Ryohei

PY - 2020

Y1 - 2020

N2 - In this paper, a method is introduced for probabilistic power flow calculations based on arbitrary polynomial chaos. For the polynomial chaos, orthogonal polynomial sets are used to represent the uncertainties of renewable power generation, and these orthogonal polynomials are generated from actual data. The aforementioned method is applied to probabilistic power flow calculations, and its applicability is confirmed in application to an actual transmission network. The calculation time and accuracy achieved using the arbitrary polynomial-chaos method are compared with those achieved using the popular Monte Carlo method. The results show that the calculation speed is 246-680 times greater than that with the direct Monte Carlo method, while the accuracy is almost same.

AB - In this paper, a method is introduced for probabilistic power flow calculations based on arbitrary polynomial chaos. For the polynomial chaos, orthogonal polynomial sets are used to represent the uncertainties of renewable power generation, and these orthogonal polynomials are generated from actual data. The aforementioned method is applied to probabilistic power flow calculations, and its applicability is confirmed in application to an actual transmission network. The calculation time and accuracy achieved using the arbitrary polynomial-chaos method are compared with those achieved using the popular Monte Carlo method. The results show that the calculation speed is 246-680 times greater than that with the direct Monte Carlo method, while the accuracy is almost same.

KW - Accuracy

KW - Algorithms

KW - Arbitrary polynomial chaos

KW - Calculation time

KW - Orthogonal polynomial

KW - Probabilistic power flow

KW - Renewable power generation

KW - Transmission network

KW - Uncertainty

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U2 - 10.1016/j.ifacol.2020.12.976

DO - 10.1016/j.ifacol.2020.12.976

M3 - Conference article

AN - SCOPUS:85105109838

SN - 2405-8963

VL - 53

SP - 12145

EP - 12150

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Arbitrary polynomial chaos based simulation of probabilistic power flow including renewable energies

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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