Abstract

This paper addresses the coordinated operation of the electricity and natural gas networks considering the line pack flexibility in the natural gas pipelines. The problem is formulated as a mixed integer linear programming problem. The objective is to minimize the operation cost of the electricity and natural gas networks considering the price of the natural gas supply. Benders decomposition is used to solve the formulated problem. The master problem minimizes the startup and shutdown costs as well as the operation cost of the thermal units other than the gas-fired generation units in the electricity network. The first subproblem validates the feasibility of the decisions made in the master problem in the electricity network. And if there is any violation, feasibility Benders cut is generated and added to the master problem. The second subproblem ensures the feasibility of the decisions of the master problem in the natural gas transportation network considering the line pack constraints. The last subproblem ensures the optimality of the natural gas network operation problem considering the demand of the gas-fired generation units and line pack. The nonlinear line pack and flow constraints in the feasibility and optimality subproblems of natural gas transportation network are linearized using Newton-Raphson technique. The presented case study shows the effectiveness of the proposed approach. It is shown that leveraging the stored gas in the natural gas pipelines would further reduce the total operation cost.

Highlights

  • The environmental considerations to reduce the greenhouse gas generation, the reduction in building time and investment cost of combined-cycle generation units, the increase in the installed capacity of renewable generation, and the emergence of shale gas promote gas-fired generation (GFG) technology in the bulk power networks [1, 2]

  • The solution to the natural gas network optimality subproblem yields optimality cuts to increase the lower bound of the objective function in the master problem and to incorporate the operation cost of the natural gas network

  • This paper presents the coordinated operation of the electricity and natural gas network considering the line pack in the natural gas transportation network

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Summary

Introduction

The environmental considerations to reduce the greenhouse gas generation, the reduction in building time and investment cost of combined-cycle generation units, the increase in the installed capacity of renewable generation, and the emergence of shale gas promote gas-fired generation (GFG) technology in the bulk power networks [1, 2]. While the compressibility and gas travel velocity is considered in [13], linearization techniques are used to solve the integrated operation of the electricity and natural gas networks while ignoring the impact of intake natural gas compression of GFG units on their generated output power and the operation cost of the electricity network. The contributions of this paper are as follows: The coordination among natural gas and the electricity is presented in the day-ahead operation in which Benders decomposition is used to decompose the problem into feasibility and optimality subproblems for the electricity and natural gas networks.

Problem formulation
Solution framework
Subproblem of electricity network feasibility check
Subproblem of natural gas network feasibility check
Subproblem of natural gas network optimality
Case study
Case 1
Case 2
Case 3
Findings
Conclusion
Full Text
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