Line capacity expansion and transmission switching in power systems with large-scale wind power

In 2020 electricity production from wind power should constitute nearly 50% of electricity demand in Denmark. In this paper we look at optimal expansion of the transmission network in order to integrate 50% wind power in the system, while minimizing total fixed investment cost and expected cost of power generation. We allow for active switching of transmission elements to reduce congestion effects caused by Kirchhoff's voltage law. Results show that actively switching transmission lines may yield a better utilization of transmission networks with large-scale wind power and increase wind power penetration. Furthermore, it is shown that transmission switching is likely to affect the optimal line capacity expansion plan.

[1]  George B. Dantzig,et al.  Decomposition Principle for Linear Programs , 1960 .

[2]  L. L. Garver,et al.  Transmission Network Estimation Using Linear Programming , 1970 .

[3]  F. Schweppe,et al.  Optimal Pricing in Electrical Networks over Space and Time , 1984 .

[4]  H. Glavitsch,et al.  Switching as means of control in the power system , 1985 .

[5]  H. Glavitsch,et al.  Security enhancement using an optimal switching power flow , 1989, Conference Papers Power Industry Computer Application Conference.

[6]  S. Binato,et al.  Large scale transmission network planning using optimization and heuristic techniques , 1995 .

[7]  Steven Stoft,et al.  Electric grid investment under a contract network regime , 1996 .

[8]  M. V. F. Pereira,et al.  A New Benders Decomposition Approach to Solve Power Transmission Network Design Problems , 2001, IEEE Power Engineering Review.

[9]  Alexander Shapiro,et al.  The Sample Average Approximation Method for Stochastic Discrete Optimization , 2002, SIAM J. Optim..

[10]  Antonio J. Conejo,et al.  Transmission expansion planning: a mixed-integer LP approach , 2003 .

[11]  Ted K. Ralphs,et al.  Decomposition in Integer Linear Programming , 2005 .

[12]  Heinrich Stigler,et al.  Optimization of the Austrian Electricity Sector (Control Zone of VERBUND APG) by Nodal Pricing , 2005 .

[13]  K. Jörnsten,et al.  Investment Paradoxes in Electricity Networks , 2008 .

[14]  J. Contreras,et al.  Transmission Expansion Planning in Electricity Markets , 2008, IEEE Transactions on Power Systems.

[15]  M. Ferris,et al.  Optimal Transmission Switching , 2008, IEEE Transactions on Power Systems.

[16]  R. Kevin Wood,et al.  Dantzig-Wolfe Decomposition for Solving Multistage Stochastic Capacity-Planning Problems , 2009, Oper. Res..

[17]  Mohammad Shahidehpour,et al.  Transmission Switching in Security-Constrained Unit Commitment , 2010, IEEE Transactions on Power Systems.

[18]  Kory W Hedman,et al.  Co-Optimization of Generation Unit Commitment and Transmission Switching With N-1 Reliability , 2010, IEEE Transactions on Power Systems.

[19]  Michael Ferris,et al.  Co-optimization of generation unit commitment and transmission switching with N-1 reliability , 2010, IEEE PES General Meeting.

[20]  Andrew B. Philpott,et al.  Investment in electricity networks with transmission switching , 2012, Eur. J. Oper. Res..