Integrated Power and Natural Gas Model for Energy Adequacy in Short-Term Operation

The significant growth in gas-fired units worldwide has increased the grade of interdependency between power and natural gas networks. Since these units are usually required to ramp up during the peak and backup intermittent renewable generation and contingencies, the power system tends to demand more flexibility and reliability from the gas system. This paper contributes with a novel mixed-integer linear programming (MILP) formulation that couples power and gas networks taking into account the gas traveling velocity and compressibility. As a result, the model accounts for the gas adequacy needed to assure the power system reliability in the short term. The robustness of the MILP formulation allows guaranteeing global optimality within predefined tolerances. Case studies integrate the IEEE 24-bus system and Belgian high-calorific gas network for validating the formulation.

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

[2]  A.C.Z. de Souza,et al.  Short-Term Operation Planning of Integrated Hydrothermal and Natural Gas Systems , 2007, 2007 IEEE Lausanne Power Tech.

[3]  Jesús María Latorre Canteli,et al.  Tight and compact MILP formulation for the thermal unit commitment problem , 2013 .

[4]  Roger Z. Ríos-Mercado,et al.  A Hybrid Meta-heuristic Approach for Natural Gas Pipeline Network Optimization , 2005, Hybrid Metaheuristics.

[5]  Mohammad Shahidehpour,et al.  Coordinated scheduling of electricity and natural gas infrastructures with a transient model for natural gas flow. , 2011, Chaos.

[6]  E. Shashi Menon,et al.  Gas pipeline hydraulics , 2005 .

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

[8]  Mohammad Shahidehpour,et al.  Market operations in electric power systems , 2002 .

[9]  Carlos M. Correa-Posada,et al.  Security-Constrained Optimal Power and Natural-Gas Flow , 2014, IEEE Transactions on Power Systems.

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

[11]  Bichis Constantin Dorin,et al.  On Modelling And Simulating Natural Gas Transmission Systems (Part II) , 2008 .

[12]  Philip A. Fedora,et al.  Reliability review of North American gas/electric system interdependency , 2004, 37th Annual Hawaii International Conference on System Sciences, 2004. Proceedings of the.

[13]  Nico Keyaerts,et al.  Gas Balancing and Line-pack Flexibility. Concepts and Methodologies for Organizing and Regulating Gas Balancing in Liberalized and Integrated EU Gas Markets. (Gasbalancering en netwerkflexibiliteit. Concepten en methodologieën voor de organisatie en regulering van gasbalancering in vrijgemaakte en g , 2012 .

[14]  Berna Dengiz,et al.  An integrated simulation model for analysing electricity and gas systems , 2014 .

[15]  Björn Geißler,et al.  Using Piecewise Linear Functions for Solving MINLP s , 2012 .

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

[17]  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.

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

[19]  Andres Ramos,et al.  Tight and Compact MILP Formulation of Start-Up and Shut-Down Ramping in Unit Commitment , 2013, IEEE Transactions on Power Systems.

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

[21]  Carlos M. Correa-Posada Gas Network Optimization: A comparison of Piecewise Linear Models , 2014 .

[22]  Goran Strbac,et al.  Multi-time period combined gas and electricity network optimisation , 2008 .

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

[24]  Julián Barquín,et al.  Electricity and Gas , 2013 .

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

[26]  W. Pepper,et al.  Implementation of a Scheduling and Pricing Model for Natural Gas , 2012 .

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

[28]  Alexander Martin,et al.  Mixed Integer Models for the Stationary Case of Gas Network Optimization , 2006, Math. Program..