Security-Constrained Optimal Power and Natural-Gas Flow

Continuous liberalization and interconnection of energy markets worldwide has raised concerns about the inherent interdependency between primary energy supply and electric systems. With the growing interaction among energy carriers, limitations on the fuel delivery are becoming increasingly relevant to the operation of power systems. This paper contributes with a novel formulation of a mixed-integer linear programing (MILP) security-constrained optimal power and gas flow. To this end, an iterative methodology, based on development of linear sensitivity factors, determines the stabilized post-contingency condition of the integrated network. The proposed model allows system operators not only to perform security analysis but also to adjust in advance state variables of the integrated system optimally and fast, so that n-1 contingencies do not result in violations. Case studies integrate the IEEE 24-bus system and a modified Belgian high-calorific gas network for analyzing the performance of the formulation and solution methodology.

[1]  M. Shahidehpour,et al.  Price-based unit commitment: a case of Lagrangian relaxation versus mixed integer programming , 2005, IEEE Transactions on Power Systems.

[2]  J. Munoz,et al.  Natural gas network modeling for power systems reliability studies , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[3]  Mohammad Shahidehpour,et al.  Impact of natural gas system on risk-constrained midterm hydrothermal scheduling , 2011, 2013 IEEE Power & Energy Society General Meeting.

[4]  Probability Subcommittee,et al.  IEEE Reliability Test System , 1979, IEEE Transactions on Power Apparatus and Systems.

[5]  A.C.Z. de Souza,et al.  Integrated Power Generation and Natural Gas Expansion Planning , 2007, 2007 IEEE Lausanne Power Tech.

[6]  A.C.Z. de Souza,et al.  Modeling the Integrated Natural Gas and Electricity Optimal Power Flow , 2007, 2007 IEEE Power Engineering Society General Meeting.

[7]  Frode Rømo,et al.  Optimization Models for the Natural Gas Value Chain , 2007, Geometric Modelling, Numerical Simulation, and Optimization.

[8]  T. W. Gedra,et al.  Natural gas and electricity optimal power flow , 2003, 2003 IEEE PES Transmission and Distribution Conference and Exposition (IEEE Cat. No.03CH37495).

[9]  Todd Schatzki,et al.  The Interdependence of Electricity and Natural Gas: Current Factors and Future Prospects , 2012 .

[10]  M. Shahidehpour,et al.  Security-Constrained Unit Commitment With Natural Gas Transmission Constraints , 2009, IEEE Transactions on Power Systems.

[11]  J. McCalley,et al.  A Multiperiod Generalized Network Flow Model of the U.S. Integrated Energy System: Part I—Model Description , 2007, IEEE Transactions on Power Systems.

[12]  M. Shahidehpour,et al.  Interdependency of Natural Gas Network and Power System Security , 2008, IEEE Transactions on Power Systems.

[13]  Carlos M. Correa-Posada,et al.  Stochastic contingency analysis for the unit commitment with natural gas constraints , 2013, 2013 IEEE Grenoble Conference.

[14]  Claudio R. Fuerte-Esquivel,et al.  Integrated energy flow analysis in natural gas and electricity coupled systems , 2011, 2011 North American Power Symposium.

[15]  O. Ano,et al.  Integrated natural gas and electricity market: A survey of the state of the art in operation planning and market issues , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America.

[16]  Kjetil Trovik Midthun,et al.  Optimization models for liberalized natural gas markets , 2007 .

[17]  Zuyi Li,et al.  A Combined Model for Analyzing the Interdependency of Electrical and Gas Systems , 2007, 2007 39th North American Power Symposium.

[18]  Mohammad Shahidehpour,et al.  Impact of Natural Gas Infrastructure on Electric Power Systems , 2005, Proceedings of the IEEE.

[19]  Y. Smeers,et al.  The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm , 2000 .

[20]  Goran Andersson,et al.  Modeling interconnected national energy systems using an energy hub approach , 2011, 2011 IEEE Trondheim PowerTech.