Integrated energy flow analysis in natural gas and electricity coupled systems

Martinez-Mares, Alberto; Fuerte‐Esquivel, Claudio R.

doi:10.1109/naps.2011.6024880

Cited by 41 publications

(30 citation statements)

References 11 publications

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“…To promote exact relaxations, we will substitute the GF problem (G1) by the minimization min r(ψ) (G2) over φ, ψ, x s.to (3), (6), (10) where vector x contains all x with ∈P a , and r(ψ) := (m,n)∈Pa |ψ m − ψ n |.…”

Section: A Problem Reformulationmentioning

confidence: 99%

Natural Gas Flow Equations: Uniqueness and an MI-SOCP Solver

Singh

Kekatos

2019

2019 American Control Conference (ACC)

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The critical role of gas fired-plants to compensate renewable generation has increased the operational variability in natural gas networks (GN). Towards developing more reliable and efficient computational tools for GN monitoring, control, and planning, this work considers the task of solving the nonlinear equations governing steady-state flows and pressures in GNs. It is first shown that if the gas flow equations are feasible, they enjoy a unique solution. To the best of our knowledge, this is the first result proving uniqueness of the steady-state gas flow solution over the entire feasible domain of gas injections. To find this solution, we put forth a mixedinteger second-order cone program (MI-SOCP)-based solver relying on a relaxation of the gas flow equations. This relaxation is provably exact under specific network topologies. Unlike existing alternatives, the devised solver does not need proper initialization or knowing the gas flow directions beforehand, and can handle gas networks with compressors. Numerical tests on tree and meshed networks with random gas injections indicate that the relaxation is exact even when the derived conditions are not met.

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Section: A Problem Reformulationmentioning

confidence: 99%

Natural Gas Flow Equations: Uniqueness and an MI-SOCP Solver

Singh

Kekatos

2019

2019 American Control Conference (ACC)

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“…The security constraints for both systems are integrated in the ED which aims to minimize power system operating costs. The optimal power flow (OPF) of the coupled gas and power systems are investigated in [24][25][26][27][28][29]. A method for OPF and scheduling of combined electricity and natural gas systems with a transient model for natural gas flow is investigated in [27] and the solutions for steady-state and transient models of the gas system are compared.…”

Section: State Of the Artmentioning

confidence: 99%

Development of a Simulation Framework for Analyzing Security of Supply in Integrated Gas and Electric Power Systems

et al. 2017

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Gas and power networks are tightly coupled and interact with each other due to physically interconnected facilities. In an integrated gas and power network, a contingency observed in one system may cause iterative cascading failures, resulting in network wide disruptions. Therefore, understanding the impacts of the interactions in both systems is crucial for governments, system operators, regulators and operational planners, particularly, to ensure security of supply for the overall energy system. Although simulation has been widely used in the assessment of gas systems as well as power systems, there is a significant gap in simulation models that are able to address the coupling of both systems. In this paper, a simulation framework that models and simulates the gas and power network in an integrated manner is proposed. The framework consists of a transient model for the gas system and a steady state model for the power system based on AC-Optimal Power Flow. The gas and power system model are coupled through an interface which uses the coupling equations to establish the data exchange and coordination between the individual models. The bidirectional interlink between both systems considered in this studies are the fuel gas offtake of gas fired power plants for power generation and the power supply to liquefied natural gas (LNG) terminals and electric drivers installed in gas compressor stations and underground gas storage facilities. The simulation framework is implemented into an innovative simulation tool named SAInt (Scenario Analysis Interface for Energy Systems) and the capabilities of the tool are demonstrated by performing a contingency analysis for a real world example. Results indicate how a disruption triggered in one system propagates to the other system and affects the operation of critical facilities. In addition, the studies show the importance of using transient gas models for security of supply studies instead of successions of steady state models, where the time evolution of the line pack is not captured correctly.

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“…Note that several intermediate variables, such as the pipeline gas vector and the compressor gas consumption vector, are introduced into the equations of the coupled system [13][14][15]. This increase in the number of variables greatly improves the convenience of the generation of the Jacobi matrix in the subsequent model.…”

Section: Unified Flow Equation In Coupled Systemmentioning

confidence: 99%

Unified probabilistic gas and power flow

Lian

Bie

et al. 2017

J. Mod. Power Syst. Clean Energy

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The natural gas system and electricity system are coupled tightly by gas turbines in an integrated energy system. The uncertainties of one system will not only threaten its own safe operation but also be likely to have a significant impact on the other. Therefore, it is necessary to study the variation of state variables when random fluctuations emerge in the coupled system. In this paper, a multislack-bus model is proposed to calculate the power and gas flow in the coupled system. A unified probabilistic power and gas flow calculation, in which the cumulant method and Gram-Charlier expansion are applied, is first presented to obtain the distribution of state variables after considering the effects of uncertain factors. When the variation range of random factors is too large, a new method of piecewise linearization is put forward to achieve a better fitting precision of probability distribution. Compared to the Monte Carlo method, the proposed method can reduce computation time greatly while reaching a satisfactory accuracy.The validity of the proposed methods is verified in a coupled system that consists of a 15-node natural gas system and the IEEE case24 power system.

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Integrated energy flow analysis in natural gas and electricity coupled systems

Cited by 41 publications

References 11 publications

Natural Gas Flow Equations: Uniqueness and an MI-SOCP Solver

Natural Gas Flow Equations: Uniqueness and an MI-SOCP Solver

Development of a Simulation Framework for Analyzing Security of Supply in Integrated Gas and Electric Power Systems

Unified probabilistic gas and power flow

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