Nonlinear Approximation Method in Lagrangian Relaxation-Based Algorithms for Hydrothermal Scheduling

IEEE Transactions on Power Systems

Volumn 10, Issue 2, 1995, Pages 772-778

  Guan, Xiaohong ^a   Zhang, Lan ^a   Luh, Peter B ^b  

^a PACIFIC GAS AND ELECTRIC COMPANY   (United States)

^b UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Hydrothermal Coordination; Lagrangian Relaxation; Power System Scheduling; Unit Commitment

Indexed keywords

HYDROTHERMAL COORDINATION; LAGRANGIAN RELAXATION; LINEAR COST FUNCTIONS; NONLINEAR APPROXIMATION; POWER SYSTEM SCHEDULING; UNIT COMMITMENT;

ALGORITHMS; APPROXIMATION THEORY; ELECTRIC UTILITIES; FUNCTIONS; RELAXATION PROCESSES; SCHEDULING;

ELECTRIC POWER SYSTEMS;

EID: 0029309433     PISSN: 08858950     EISSN: 15580679     Source Type: Journal    
DOI: 10.1109/59.387916     Document Type: Article

References (15)

1. J. J. Shaw and D. P. Bertsekas, “Optimal Scheduling of Large Hydrothermal Power Systems,” IEEE Transactions on Power Apparatus and Systems, Vol. PAS-104, 1985, pp. 286-293.
2. A. Cohen, “Optimization-Based Methods for Operations Scheduling,” Proceedings of IEEE, Vol. 75, No. 12, 1987, pp. 1574-1591.
3. L. A. F. M. Ferreira, T. Anderson, C. F. Imparato, T. E. Miller, C. K. Pang, A. Svoboda, A. F. Vojdani, “Short-Term Resource Scheduling in Multi-Area Hydrothermal Power Systems,” Electric Power & Energy Systems, Vol. 11, No. 3, 1989, pp. 200-212.
4. X. Guan, P. B. Luh, H. Yan, and J. A. Amalfi, “A Optimization-Based Method for Unit Commitment,” Electric Power & Energy Systems, Vol. 14, No. 1, 1992, pp. 9-17.
5. H. Yan, P. B. Luh, X. Guan, and P. Rogan, “Scheduling of Hydrothermal Power Systems,” IEEE Transaction on Power Systems, Vol. 8, No. 3, 1993, pp. 1358-1365.
6. X. Guan, P. B. Luh, H. Yan, and P. Rogan, “Optimization - Based Scheduling of Hydrothermal Power Systems with Pumped-storage Units,” 1993 IEEE/PES Summer Meeting, Vancouver,, BC, Canada, 93 SM 474-7 PWRS, also to appear in IEEE Transaction on Power Systems.
7. L. Zhang, P. B. Luh, X. Guan, and G. Merchel, “Optimi-zation-Based Inter-Utility Power Purchase,” Proceedings of 1993 1EEE/PICA Conference, Scottsdale, AZ, pp. 285-291, also to appear in IEEE Transaction on Power Systems.
8. J. P. Batut, A. Renaud, “Daily Generation Scheduling Optimization with Transmission Constraints: A New Class of Algorithms,” IEEE Transaction on Power Systems, Vol. 7, No. 3, 1992, pp. 982-989.
9. A. Renaud, “Daily Generation Management at Electricite de France: From Planning Towards Real Time,” IEEE Transaction on Automatic Control, Vol. 38, No. 7, 1993, pp. 1080-1093.
10. G. Cohen, D. L. Zhu, “Decomposition Coordination Methods in Large Scale Optimization problems: The nondifferentiable case and the use of Augmented Lagrangian,” Advances in Large Scale Systems, Theory and Application, Vol. 1, JAI Press Inc., CT, USA, 1988, pp. 203-266.
11. M. L. Fisher, “The Lagrangian Relaxation Method for Solving Integer Programming Problems,” Management Science, Vol. 27, No. 1, 1981, pp. 1-18
12. R. N. Tomastik, P. B. Luh, “The Facet Ascending Algorithm for Integer Programming Problems,” Proceedings of the 32nd IEEE Conference on Decision and Control, San Antonio, Texas, Dec. 1993.
13. M. Held, P. Wolf and H. P. Crowder, “Validation of Subgradient Optimization,” Mathematical Programming, Vol. 6, 1974, pp. 62-88
14. D. G. Luenberger, Linear and Nonlinear Programming, Addison-Wesley Publishing Company, 1984.
15. L. A. F. M. Ferreira, “Short-term Scheduling of a pumped-storage plant,” IEE Proceedings, Part C, Vol. 139, No. 6, 1992, pp. 521-528.