Min–max transfer capabilities of transmission interfaces

Abstract Transfer capability of a transmission interface is often regarded as a single number calculated under a pre-assumed generation-load profile. In general, transfer capability lies in an interval; the upper bounds of such intervals, maximum transfer capability, can be calculated using a standard optimal power flow program that is commercially available. In this paper, we study the properties, formulation, and computation of the lower bound of transfer capability. Based on a relatively new concept called bi-level optimization, we introduce a mathematical formulation of the lower bound of transfer capability (we term min–max transfer capability) and outline a standard branch-and-bound algorithm. We investigate the structure of this optimization model of min–max transfer capability and describe an efficient solution algorithm that is suitable for large-scale power systems. Several examples are provided to demonstrate the feasibility and possible applications of the results.

[1]  Donald V. Bourcier,et al.  Locational Market Power Screening and Congestion Management: Experience and Suggestions , 2002, IEEE Power Engineering Review.

[2]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[3]  A. D. Patton,et al.  Real power transfer capability calculations using multi-layer feed-forward neural networks , 2000 .

[4]  Deqiang Gan,et al.  Market dispatch incorporating stability constraints , 2001 .

[5]  Marija D. Ilic,et al.  Transmission capacity in power networks , 1998 .

[6]  S. W. Anderson,et al.  Simultaneous Power Interchange Capability Analysis , 1973 .

[7]  Feng Xia,et al.  A methodology for probabilistic simultaneous transfer capability analysis , 1996 .

[8]  G. A. Hamoud,et al.  Assessment of available transfer capability of transmission systems , 2000 .

[9]  G. C. Ejebe,et al.  Fast calculation of linear available transfer capability , 1999 .

[10]  G. Sheblé,et al.  Power generation operation and control — 2nd edition , 1996 .

[11]  Jonathan F. Bard,et al.  Practical Bilevel Optimization , 1998 .

[12]  Deqiang Gan,et al.  Stability-constrained optimal power flow , 2000 .

[13]  H. Chiang,et al.  A more efficient formulation for computation of the maximum loading points in electric power systems , 1995 .

[14]  G. Irisarri,et al.  Maximum loadability of power systems using interior point nonlinear optimization method , 1997 .

[15]  B. S. Gisin,et al.  Practical methods for transfer limit analysis in the power industry deregulated environment , 1999, Proceedings of the 21st International Conference on Power Industry Computer Applications. Connecting Utilities. PICA 99. To the Millennium and Beyond (Cat. No.99CH36351).

[16]  G. C. Ejebe,et al.  Available transfer capability calculations , 1998 .

[17]  Alexander J. Flueck,et al.  Investigating the installed real power transfer capability of a large scale power system under a proposed multiarea interchange schedule using CPFLOW , 1996 .

[18]  M. H. Gravener,et al.  Available transfer capability and first order sensitivity , 1999 .