DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · IEEE Transactions on Power Systems

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.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1769138
Report Number(s):
LLNL-JRNL--813720; 1021799
Journal Information:
IEEE Transactions on Power Systems, Journal Name: IEEE Transactions on Power Systems Journal Issue: 2 Vol. 36; ISSN 0885-8950
Publisher:
IEEECopyright Statement
Country of Publication:
United States
Language:
English

References (33)

Mixed Integer Models for the Stationary Case of Gas Network Optimization journal November 2005
An NSGA-II based multi-objective optimization for combined gas and electricity network expansion planning journal April 2016
Integrated demand response for a load serving entity in multi-energy market considering network constraints journal September 2019
Analytical solutions for the Colebrook and White equation and for pressure drop in ideal gas flow in pipes journal August 2006
Estimation and validation of daily global solar radiation by day of the year-based models for different climates in China journal May 2019
Probabilistic energy flow for multi-carrier energy systems journal October 2018
Integrated Energy Management System: Concept, Design, and Demonstration in China journal June 2018
Security-constrained unit commitment with dynamic gas constraints conference July 2015
Power Loss Alleviation in Integrated Power and Natural Gas Distribution Grids journal December 2019
Energy Flow Optimization for Integrated Power–Gas Generation and Transmission Systems journal March 2020
Price-Based Unit Commitment: A Case of Lagrangian Relaxation Versus Mixed Integer Programming journal November 2005
Point Estimate Schemes to Solve the Probabilistic Power Flow journal November 2007
MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education journal February 2011
Security-Constrained Optimal Power and Natural-Gas Flow journal July 2014
Integrated Power and Natural Gas Model for Energy Adequacy in Short-Term Operation journal November 2015
A Linear Programming Approach to Expansion Co-Planning in Gas and Electricity Markets journal September 2016
A Geometric Programming to Importance Sam-pling for Power System Reliability Evaluation journal January 2016
A State-Independent Linear Power Flow Model With Accurate Estimation of Voltage Magnitude journal September 2017
Multi-Stage Stochastic Programming With Nonanticipativity Constraints for Expansion of Combined Power and Natural Gas Systems journal January 2018
Coordinated Expansion Planning of Natural Gas and Electric Power Systems journal May 2018
A Tight Linear Program for Feasibility Check and Solutions to Natural Gas Flow Equations journal May 2019
Flexible Division and Unification Control Strategies for Resilience Enhancement in Networked Microgrids journal January 2020
Reliability Evaluation for Integrated Power-Gas Systems With Power-to-Gas and Gas Storages journal January 2020
Optimal Consensus-Based Distributed Control Strategy for Coordinated Operation of Networked Microgrids journal May 2020
Reliability-Based Optimal Planning of Electricity and Natural Gas Interconnections for Multiple Energy Hubs journal July 2017
An MILP-Based Optimal Power Flow in Multicarrier Energy Systems journal January 2017
Robust Constrained Operation of Integrated Electricity-Natural Gas System Considering Distributed Natural Gas Storage journal July 2018
Multi-Stage Stochastic Programming to Joint Economic Dispatch for Energy and Reserve With Uncertain Renewable Energy journal July 2020
Adaptive Dynamic Programming for Gas-Power Network Constrained Unit Commitment to Accommodate Renewable Energy With Combined-Cycle Units journal July 2020
A Review of Piecewise Linearization Methods journal January 2013
The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm journal November 2000
GasLib—A Library of Gas Network Instances journal December 2017
Applicability of equations for pressure losses in transmission gas pipelines journal January 2015