Coordinated multi-area economic dispatch via multi-parametric programming

The problem of coordinated multi-area economic dispatch is considered. A method based on multi-parametric quadratic programming is proposed in which local economic dispatch in each area is solved with interchange flows as parameters, and the overall cost is minimized by a coordinator. It is shown that the proposed method converges to the global optimum solution within a finite number of iterations.

[1]  Ross Baldick,et al.  Coarse-grained distributed optimal power flow , 1997 .

[2]  Efstratios N. Pistikopoulos,et al.  Multi-Parametric Programming: Volume 1: Theory, Algorithms, and Applications , 2007 .

[3]  Frank L. Lewis,et al.  Distributed Consensus-Based Economic Dispatch With Transmission Losses , 2014, IEEE Transactions on Power Systems.

[4]  Mo-Yuen Chow,et al.  Incremental cost consensus algorithm in a smart grid environment , 2011, 2011 IEEE Power and Energy Society General Meeting.

[5]  X. Wang,et al.  Lagrangian decomposition approach to active power congestion management across interconnected regions , 2001 .

[6]  A. Conejo,et al.  Multi-area coordinated decentralized DC optimal power flow , 1998 .

[7]  A. Abur,et al.  A Decomposition Method for Multi-Area OPF Problem , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[8]  Balho H. Kim,et al.  A fast distributed implementation of optimal power flow , 1999 .

[9]  A. Conejo,et al.  Multi-Area Unit Scheduling and Reserve Allocation Under Wind Power Uncertainty , 2014 .

[10]  E. Pistikopoulos,et al.  Multi-parametric programming : theory, algorithms and applications , 2007 .

[11]  F. Zhao,et al.  A Marginal Equivalent Decomposition Method and Its Application to Multi-Area Optimal Power Flow Problems , 2014, IEEE Transactions on Power Systems.

[12]  A.G. Bakirtzis,et al.  A decentralized implementation of DC optimal power flow on a network of computers , 2005, IEEE Transactions on Power Systems.

[13]  A. Conejo,et al.  Multi-Area Energy and Reserve Dispatch Under Wind Uncertainty and Equipment Failures , 2013, IEEE Transactions on Power Systems.

[14]  James S. Thorp,et al.  Coordinated interchange scheduling and opportunity cost payment: a market proposal to seams issues , 2004 .

[15]  Joseph G. Ecker,et al.  Postoptimal analyses, parametric programming, and related topics: McGraw-Hill, Düsseldorf, 1979, xvii + 380 pages, DM 104.- , 1981 .