Convex Optimization of Integrated Power-Gas Energy Flow Model With Applications to Probabilistic Energy Flow

Energy flow calculation is a fundamental problem of the integrated power and gas system (IPGS) operation and planning. However, the nonlinear gas flow model introduces major challenges to the energy flow calculation. In this paper, we propose a tractably convex optimization model to solve the energy...

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Bibliographic Details
Published in:IEEE transactions on power systems Vol. 36; no. 2; pp. 1432 - 1441
Main Authors: Jia, Wenhao, Ding, Tao, Huang, Can, Wang, Zekai, Zhou, Quan, Shahidehpour, Mohammad
Format: Journal Article
Language:English
Published: New York IEEE 01.03.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Computational complexity
Computational geometry
Computational modeling
Convex analysis
Convex functions
convex optimization
Convexity
Energy
Energy flow
ENGINEERING
Gas flow
Integrated power and gas system
Linear programming
Load flow
Manganese
Mathematical model
nonlinear gas flow
Optimization
piecewise linearization
Pipelines
Planning
Power transmission and distribution
probabilistic energy flow estimation
Probabilistic logic
ISSN:0885-8950, 1558-0679
Online Access:Get full text
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Summary:Energy flow calculation is a fundamental problem of the integrated power and gas system (IPGS) operation and planning. However, the nonlinear gas flow model introduces major challenges to the energy flow calculation. In this paper, we propose a tractably convex optimization model to solve the energy flow problem in IPGSs. It is demonstrated that the proposed optimization model has the same optimal solution as the original nonlinear steady energy flow model. Also, piecewise linearization is adopted to tightly linearize the nonlinear objective function of the model, which transforms the formulated convex optimization into a linear program one. Thus, the computation complexity of the proposed energy flow model is significantly reduced as compared with the existing methods. In addition, the proposed model can be extended to probabilistic energy flow estimation. Extensive case studies are conducted to validate the effectiveness of the proposed energy flow model using three IPGSs.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
AC52-07NA27344
USDOE National Nuclear Security Administration (NNSA)
LLNL-JRNL-813720
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2020.3018869