Stochastic Economic Dispatch with Wind using Versatile Probability Distribution and L-BFGS-B Based Dual Decomposition

Shaojun Huang; Yuanzhang Sun; Qiuwei Wu

doi:10.1109/TPWRS.2018.2834433

Stochastic Economic Dispatch with Wind using Versatile Probability Distribution and L-BFGS-B Based Dual Decomposition

Shaojun Huang, Yuanzhang Sun, Qiuwei Wu^*

^*Corresponding author for this work

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

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Abstract

This paper focuses on economic dispatch (ED) in power systems with intermittent wind power, which is a very critical issue in future power systems. A stochastic ED problem is formed based on the recently proposed versatile probability distribution (VPD) of wind power. The problem is then analyzed and proved to be strictly convex. Although such convex optimization is tractable in many cases, it may take a long time to solve due to its large scale. This paper proposes a dual decomposition method to decompose the large problem. Then two methods are employed to solve the decomposed problem, namely, the subgradient method and a faster method, limited-memory BFGS with box constraints (L-BFGS-B, a quasi-Newton method). Case studies were conducted to verify the efficiency of the dual decomposition and L-BFGS-B method for solving the stochastic ED problem

Original language	English
Journal	I E E E Transactions on Power Systems
Volume	33
Issue number	6
Pages (from-to)	6254 - 6263
ISSN	0885-8950
DOIs	https://doi.org/10.1109/TPWRS.2018.2834433
Publication status	Published - 2018

Keywords

Dual decomposition
Economic dispatch (ED)
Limited-memory BFGS with box constraints (L-BFGS-B)
Stochastic Programming
Sub-gradient method
Versatile probability distribution
wind power

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10.1109/TPWRS.2018.2834433

Economic dispatch with volatile wind production and its solution by dual decomposition and quasi Newton mehtod finalAccepted author manuscript, 520 KB

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@article{71050cca36cd4a8bb25ed93b06f73729,

title = "Stochastic Economic Dispatch with Wind using Versatile Probability Distribution and L-BFGS-B Based Dual Decomposition",

abstract = "This paper focuses on economic dispatch (ED) in power systems with intermittent wind power, which is a very critical issue in future power systems. A stochastic ED problem is formed based on the recently proposed versatile probability distribution (VPD) of wind power. The problem is then analyzed and proved to be strictly convex. Although such convex optimization is tractable in many cases, it may take a long time to solve due to its large scale. This paper proposes a dual decomposition method to decompose the large problem. Then two methods are employed to solve the decomposed problem, namely, the subgradient method and a faster method, limited-memory BFGS with box constraints (L-BFGS-B, a quasi-Newton method). Case studies were conducted to verify the efficiency of the dual decomposition and L-BFGS-B method for solving the stochastic ED problem",

keywords = "Dual decomposition, Economic dispatch (ED), Limited-memory BFGS with box constraints (L-BFGS-B), Stochastic Programming, Sub-gradient method, Versatile probability distribution, wind power",

author = "Shaojun Huang and Yuanzhang Sun and Qiuwei Wu",

year = "2018",

doi = "10.1109/TPWRS.2018.2834433",

language = "English",

volume = "33",

pages = "6254 -- 6263",

journal = "I E E E Transactions on Power Systems",

issn = "0885-8950",

publisher = "Institute of Electrical and Electronics Engineers",

number = "6",

}

TY - JOUR

T1 - Stochastic Economic Dispatch with Wind using Versatile Probability Distribution and L-BFGS-B Based Dual Decomposition

AU - Huang, Shaojun

AU - Sun, Yuanzhang

AU - Wu, Qiuwei

PY - 2018

Y1 - 2018

N2 - This paper focuses on economic dispatch (ED) in power systems with intermittent wind power, which is a very critical issue in future power systems. A stochastic ED problem is formed based on the recently proposed versatile probability distribution (VPD) of wind power. The problem is then analyzed and proved to be strictly convex. Although such convex optimization is tractable in many cases, it may take a long time to solve due to its large scale. This paper proposes a dual decomposition method to decompose the large problem. Then two methods are employed to solve the decomposed problem, namely, the subgradient method and a faster method, limited-memory BFGS with box constraints (L-BFGS-B, a quasi-Newton method). Case studies were conducted to verify the efficiency of the dual decomposition and L-BFGS-B method for solving the stochastic ED problem

AB - This paper focuses on economic dispatch (ED) in power systems with intermittent wind power, which is a very critical issue in future power systems. A stochastic ED problem is formed based on the recently proposed versatile probability distribution (VPD) of wind power. The problem is then analyzed and proved to be strictly convex. Although such convex optimization is tractable in many cases, it may take a long time to solve due to its large scale. This paper proposes a dual decomposition method to decompose the large problem. Then two methods are employed to solve the decomposed problem, namely, the subgradient method and a faster method, limited-memory BFGS with box constraints (L-BFGS-B, a quasi-Newton method). Case studies were conducted to verify the efficiency of the dual decomposition and L-BFGS-B method for solving the stochastic ED problem

KW - Dual decomposition

KW - Economic dispatch (ED)

KW - Limited-memory BFGS with box constraints (L-BFGS-B)

KW - Stochastic Programming

KW - Sub-gradient method

KW - Versatile probability distribution

KW - wind power

U2 - 10.1109/TPWRS.2018.2834433

DO - 10.1109/TPWRS.2018.2834433

M3 - Journal article

VL - 33

SP - 6254

EP - 6263

JO - I E E E Transactions on Power Systems

JF - I E E E Transactions on Power Systems

SN - 0885-8950

IS - 6

ER -