A tight linear program for feasibility check and solutions to natural gas flow equations

Tao Ding; Yiting Xu; Yongheng Yang; Zhenbang Li; Xiongwen Zhang; Frede Blaabjerg

doi:10.1109/TPWRS.2019.2895568

A tight linear program for feasibility check and solutions to natural gas flow equations

Tao Ding
, Yiting Xu
, Yongheng Yang
, Zhenbang Li
, Xiongwen Zhang
, Frede Blaabjerg

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

This letter proposed a novel convex optimization model, whose optimal solution is proved to be the precise solution of the natural gas flow equations. Furthermore, a linear program is employed to tightly linearize the nonlinear parts and a corollary is given to check the feasibility. Numerical results show the effectiveness of the proposed method.

Original language	English
Article number	8626442
Pages (from-to)	2441-2444
Number of pages	4
Journal	IEEE Transactions on Power Systems
Volume	34
Issue number	3
DOIs	https://doi.org/10.1109/TPWRS.2019.2895568
State	Published - May 2019

Keywords

Integrated power and natural gas systems
constraint satisfaction problem
feasibility testing
gas flow equations

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10.1109/TPWRS.2019.2895568

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title = "A tight linear program for feasibility check and solutions to natural gas flow equations",

abstract = "This letter proposed a novel convex optimization model, whose optimal solution is proved to be the precise solution of the natural gas flow equations. Furthermore, a linear program is employed to tightly linearize the nonlinear parts and a corollary is given to check the feasibility. Numerical results show the effectiveness of the proposed method.",

keywords = "Integrated power and natural gas systems, constraint satisfaction problem, feasibility testing, gas flow equations",

author = "Tao Ding and Yiting Xu and Yongheng Yang and Zhenbang Li and Xiongwen Zhang and Frede Blaabjerg",

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AU - Yang, Yongheng

AU - Li, Zhenbang

AU - Zhang, Xiongwen

AU - Blaabjerg, Frede

PY - 2019/5

Y1 - 2019/5

N2 - This letter proposed a novel convex optimization model, whose optimal solution is proved to be the precise solution of the natural gas flow equations. Furthermore, a linear program is employed to tightly linearize the nonlinear parts and a corollary is given to check the feasibility. Numerical results show the effectiveness of the proposed method.

AB - This letter proposed a novel convex optimization model, whose optimal solution is proved to be the precise solution of the natural gas flow equations. Furthermore, a linear program is employed to tightly linearize the nonlinear parts and a corollary is given to check the feasibility. Numerical results show the effectiveness of the proposed method.

KW - Integrated power and natural gas systems

KW - constraint satisfaction problem

KW - feasibility testing

KW - gas flow equations

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A tight linear program for feasibility check and solutions to natural gas flow equations

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Keywords

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