Transmission constrained unit commitment in competitive environment by enhanced adaptive Lagrangian relaxation

This work proposes an enhanced adaptive Lagrangian relaxation (ELR) for centralized dispatch of transmission constrained unit commitment (TCUC) problem in competitive environment. ELR minimizes the consumer payment rather than the total supply cost subject to the power balance, spinning reserve, transmission lines, and generator operating constraints. ELR algorithm is enhanced by new initialization of Lagrangian multipliers and adaptive adjustment of Lagrangian multipliers. The transmission constrained economic dispatch is solved by quadratic programming. If congestion exists, the alleviating congestion index is proposed for congestion management. Moreover, the side payment to each generator is proposed to ensure payment adequacy without resulting in excessive system marginal price, leading to a lower consumer payment. The ELR is tested on the IEEE 24 bus reliability test system.

[1]  Loi Lei Lai,et al.  Power System Restructuring and Deregulation , 2001 .

[2]  A. Papalexopoulos,et al.  Consumer payment minimization in power pool auctions , 1997 .

[3]  I. Pérez-Arriaga,et al.  Production Cost Minimization versus Consumer Payment Minimization in Electricity Pools , 2002, IEEE Power Engineering Review.

[4]  Marshall L. Fisher,et al.  The Lagrangian Relaxation Method for Solving Integer Programming Problems , 2004, Manag. Sci..

[5]  Dilcemar P. Mendes.  RESOURCE SCHEDULING AND PRICING IN A CENTRALISED ENERGY MARKET , 2002 .

[6]  S. Oren,et al.  Equity and efficiency of unit commitment in competitive electricity markets , 1997 .

[7]  D. Kirschen,et al.  Assessing pool-based pricing mechanisms in competitive electricity markets , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[8]  Mohammad Shahidehpour,et al.  The IEEE Reliability Test System-1996. A report prepared by the Reliability Test System Task Force of the Application of Probability Methods Subcommittee , 1999 .

[9]  J. Alonso,et al.  Thermal plant bids and market clearing in an electricity pool. Minimization of costs vs. minimization of consumer payments , 1999 .

[10]  Jiansheng Lei,et al.  Congestion management for generation scheduling in a deregulated Chinese power system , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

[11]  Kenji Iba,et al.  Influence of auction rules on short-term generation scheduling , 1999, 1999 IEEE Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.99CH36364).

[12]  Antonio J. Conejo,et al.  Auction implementation problems using Lagrangian relaxation , 1999 .